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AN ANALYSIS OF SELECTED CROP INSURANCE POLICIES AVAILABLE TO FLORIDA BLUEBERRY GROWERS
By
ROBERT RANIERI
A THESIS PRESENTED TO THE GRADUATE SCHOOL OF THE UNIVERSITY OF FLORIDA IN PARTIAL FULFILLMENT
OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE
UNIVERSITY OF FLORIDA
2018
4
ACKNOWLEDGMENTS
First and foremost, I would like to thank my two advisors: Dr. Singerman and Dr.
Kropp. Their expertise and professionalism not only guided me to the ultimate goal of
completing my thesis, but also inspired me to put in the long hours where it seemed the
end was never in sight. I can proudly say that this thesis is my best work, that no short-
cuts were taken and no possible flaw had gone unquestioned. I have my advisors to
thank for that. Without you, this paper would be a shell of what it is now.
A big thanks to my mom, dad, and sister. During my two years at UF, I have
never been farther from home for so long. Without the loving support of my family, I
wouldn’t have been able to graduate middle school, let alone graduate school. You
have always supported me unconditionally, and let me thrive through adversity.
I’d also like to thank Megan. For the countless nights staying up helping me
decide when to include a comma, for listening to me go on tangents about the blueberry
industry, and for all the boring mock-presentations you had to sit through, thank you. I
know it isn’t the easiest to understand or the most interesting, but you listened with open
ears and were there to support me with open arms.
Lastly, I’d like to thank Julio, Rusty, and Scott. We’ve spent far too many long
hours in the Byrne room – studying, teaching each other, and sometimes just cracking
jokes. Academics may have brought us together, but it’s the times outside of class that
kept me sane.
5
TABLE OF CONTENTS page
ACKNOWLEDGMENTS .................................................................................................. 4
LIST OF TABLES ............................................................................................................ 7
LIST OF FIGURES .......................................................................................................... 8
LIST OF CROP INSURANCE TERMINOLOGY ............................................................ 10
ABSTRACT ................................................................................................................... 13
CHAPTER
1 INTRODUCTION .................................................................................................... 15
Background ............................................................................................................. 15
Research Problem .................................................................................................. 17 Objectives ............................................................................................................... 18 Specific Objectives ................................................................................................. 18
2 LITERATURE REVIEW .......................................................................................... 20
A Brief History of Florida Blueberry Production ....................................................... 20
Blueberry Cyclical Price and Seasonality Graphical Analysis ................................. 23
Florida Market Window ........................................................................................... 26
Crop Insurance Policies .......................................................................................... 30 Premium Rate Complications ................................................................................. 38
Distribution of Yields ............................................................................................... 40
3 METHODS .............................................................................................................. 53
Data Collection and Analysis .................................................................................. 53
Crop Insurance Terminology ................................................................................... 55 Premium and Indemnity Calculations ..................................................................... 56 Alachua County Premium Calculations ................................................................... 57
Simulations in R ...................................................................................................... 59
4 RESULTS AND DISCUSSION ............................................................................... 69
Distribution Results ................................................................................................. 69 Simulation Results .................................................................................................. 70
RMA Indemnity Calculation Issues ................................................................... 75 RMA Premium Calculation Issues .................................................................... 78
5 GENERAL CONCLUSIONS ................................................................................... 94
6
Recommendation for Growers ................................................................................ 94
Recommendation for the RMA ................................................................................ 95
APPENDIX: R CODE .................................................................................................... 97
REFERENCES .............................................................................................................. 98
BIOGRAPHICAL SKETCH .......................................................................................... 103
7
LIST OF TABLES
Table page 2-1 Utilized Production of Blueberries by State from 2000 – 2016. .......................... 51
2-2 US Domestic Blueberry Market Share by State from 2000 – 2016. .................... 52
3-1 Summary of the parameters of the six different scenarios analyzed. ................. 68
4-1 Comparison of the APH and WFRP policy under Scenario 1. ............................ 85
4-2 Comparison of the APH and WFRP policy under Scenario 2. ............................ 86
4-3 Comparison of the APH and WFRP policy under Scenario 3. ............................ 87
4-4 Comparison of the APH and WFRP policy under Scenario 4. ............................ 88
4-5 Comparison of the APH and WFRP policy under Scenario 5. ............................ 89
4-6 Comparison of the APH and WFRP policy under Scenario 6. ............................ 90
4-7 Expected Utility of enrolling in APH or not enrolling for a risk-averse grower under Scenarios 1, 2, 3, 4, 5, & 6. ...................................................................... 91
4-8 Florida Blueberry Growers Participation in APH by Coverage Level .................. 92
4-9 Alachua Blueberry Growers Participation in APH by Coverage Level ................ 93
8
LIST OF FIGURES
Figure page 1-1 US imports, net production, and per capita use of fresh blueberries 1980-
2016. (USDA/ERS, 2017) ................................................................................... 19
2-1 Geographic overlay of average chill hours for a typical Florida winter. Source: Olmstead, Miller, Andersen, & Williamson, 2016 ................................................ 42
2-2 Top Blueberry-Producing Countries in 2014 by volume. Source: Food and Agricultural Organization of the United Nations (FAO, 2017) ............................. 43
2-3 Blueberry volume in the US produced by the United States, Florida, and by Southern Exporters from 2007 – 2017. (USDA/AMS, 2017) ............................... 44
2-4 Weighted Average National US Retail Blueberry Price for 4.4 ounce, 6 ounce, 1 pint, and 18 ounce blueberries (USDA/AMS, 2017) ............................. 45
2-5 United States domestic blueberry production and import timeline. Source: (USDA/AMS, 2017) ............................................................................................ 46
2-6 Side-by-side comparison of Florida blueberry production vs Mexican blueberry imports to the US, 2009 – 2016. (USDA/AMS, 2017) ......................... 49
2-7 The minimum revenue percentage for different numbers of crops to meet the diversification requirements of WFRP (USDA/RMA, 2017a) .............................. 50
3-1 Actual yield, adjusted yields, and the technology trend line of Florida blueberries from 1997-2016. (USDA/ERS, 2017b). ............................................ 64
3-2 Example of APH crop insurance policy payment for non-organic Southern Highbush blueberries with frost protection (USDA/RMA, 2017c) ........................ 65
3-3 Example of Whole-Farm Revenue Protection policy payment for single-commodity blueberries in Alachua county. (USDA/RMA, 2017c) ....................... 66
3-4 Side-by side comparison of the Actual Production History and the Whole Farm Revenue Protection policy. (USDA/RMA, 2017c) ...................................... 67
4-1 Price Histogram of Florida blueberries out of 5,000 iterations. ........................... 80
4-2 Yield Histogram of Florida blueberries out of 5,000 iterations. ........................... 80
4-3 Revenue Histogram of Florida blueberries out of 5,000 iterations. ..................... 81
4-4 Florida Blueberry yield to revenue scatterplot results of estimated yield and price under scenario 1. ....................................................................................... 81
9
4-5 Florida Blueberry yield to revenue scatterplot results of estimated yield and price under scenario 2. ....................................................................................... 82
4-6 Florida Blueberry yield to revenue scatterplot results of estimated yield and price under scenario 3. ....................................................................................... 82
4-7 Florida Blueberry yield to revenue scatterplot results of estimated yield and price under scenario 4. ....................................................................................... 83
4-8 Florida Blueberry yield to revenue scatterplot results of estimated yield and price under scenario 5. ....................................................................................... 83
4-9 Florida Blueberry yield to revenue scatterplot results of estimated yield and price under scenario 6. ....................................................................................... 84
10
LIST OF CROP INSURANCE TERMINOLOGY
Applicable to both Actual Production History and Whole-Farm Revenue Protection
Coverage Level
The amount of insurance chosen by the grower (%). The range for APH and WFRP is 50-75%.
Preliminary Premium Amount
The cost of crop insurance before subsidies are accounted for ($/acre).
Subsidy Rate The subsidy percentage that the farmer does not have to pay for (%). The subsidy rate decreases as coverage level increases.
Applicable to Actual Production History
Actual Yield The amount of blueberry pounds produced per acre that the grower produces for the insured season (lbs/acre).
Approved Yield
The amount of blueberry pounds produced per acre (lbs/acre). As long as the farm has been in production for the last four years or more, the Approved Yield is calculated by taking the average of the last 4+ consecutive years of blueberry production up until the last 10 years. If the farm has been in production less than four years, the average is taken from a culmination of transitional yields and any production in the last three years.
Base Rate The starting premium rate established by RMA for the 65% coverage level (%). Factors that influence this rate include state, county, coverage type, etc.
Established Price
Determined by the RMA by the closing date (typically occurring January), it is an estimation of the upcoming price of blueberries per pound during the season ($/lbs). The grower has the option to elect a lower price offered by the RMA and will pay less premium as a result. For the purposes of this analysis, the assumption is that the grower always elects the highest possible price offered by the RMA.
11
Guarantee The number of pounds of blueberries per acre insured, which is determined by multiplying the Approved Yield by the Coverage Level (lbs/acre).
Insured Shared Percent
The percentage of insurance that the grower pays for (%). For all examples, the assumption is that the grower fully owns the farm and is paying the entirety of the insurance directly. The insured shared percent is assumed to be 100%.
Liability Amount
The total value of blueberries insured per acre ($/acre). The Liability Amount for APH is determined by multiplying the Guarantee by the Established Price by the Insured Share Percent.
Applicable to Whole-Farm Revenue Protection
Actual Revenue
The total value of blueberries that the grower sells on a per acre basis for the insured season ($/acre).
Approved Revenue
The amount of acceptable revenue attributable to blueberry production ($/acre). The calculation for the Approved Revenue is the minimum of the Historic Average Revenue and the Expected Revenue.
Diversity Factor
An additional multiplier established by the RMA, which decreases the price of the premium if there is more than one commodity covered (%). For a single commodity, the diversity factor is 1, or 100%.
Expected Revenue
The anticipated amount of revenue for the upcoming insured season ($/acre).
Historic Average Revenue
The average amount of revenue produced per acre over the last 5 years ($/acre). Revenue calculations from year to year are cupped at 80% of the previous year and capped at 120% of the previous year.
Liability Amount
The total value of blueberries insured per acre ($/acre). The Liability Amount for WFRP is determined by multiplying the Approved Revenue by the Coverage Level.
12
Weighted Commodity
Rate
The base rate established by the RMA for a specific commodity, in this case blueberries (%). The weighted commodity rate increases with an increase in coverage level.
13
Abstract of Thesis Presented to the Graduate School of the University of Florida in Partial Fulfillment of the Requirements for the Degree of Master of Science
AN ANALYSIS OF SELECTED CROP INSURANCE
POLICIES AVAILABLE TO FLORIDA BLUEBERRY GROWERS
By
Robert Ranieri
May 2018
Chair: Ariel Singerman Major: Food and Resource Economics
The main purpose of this thesis is to determine which crop insurance policy,
Actual Production History (APH) or Whole-Farm Revenue Protection (WFRP), provides
the most benefit to Florida blueberry growers given certain market conditions. Another
objective of this thesis is to use numerical methods to evaluate the appropriateness of
the premium rates set for these policies. Up until this project, to the best of my
knowledge, no comparison between these two policies for Florida blueberry growers
had been performed. The findings help to explain the enrollment, or lack thereof, by
Florida blueberry growers.
Specialty crops exhibit a high variability in price compared to staple crops (Ligon,
2012). Florida blueberries are especially prone to price volatility, as harvest timing
uniquely influences price. Data on price and yield and their respective volatilities were
assembled as part of the dataset used. Simulations of Florida blueberry yields and
prices were generated to obtain six scenarios to analyze APH and WFRP.
I found that under each scenario, the cost of crop insurance outweighed the
expected gain for both crop insurance policies. The reason that cost is so high for
14
insuring blueberries in Alachua County is due to the lack of data on loss experience by
the Risk Management Agency’s (RMA). Without sufficient data, the RMA has set the
rate too high. These findings help explain the low enrollment rate in APH by blueberry
growers in Alachua county.
15
CHAPTER 1 INTRODUCTION
This introductory chapter begins with a brief background on the rise in demand
and production of blueberries in the United States. With an increase in production,
blueberries have become an increasingly relevant crop in Florida. This chapter
introduces the two chosen crop insurance policies available to Florida blueberry
growers, and provides a short comparison between the two. The main objectives are
defined at the conclusion this chapter.
Background
Blueberries have become one of the most popular fruits in the United States.
According to the US Highbush Blueberry Council (2017a), blueberries contain a high
amount of Vitamin C, which helps the body develop tissues and heal. Blueberries are
rich in manganese, which helps process nutrients and develop bones. In addition, they
contain only 80 calories per cup while providing an excellent source of dietary fiber.
Consumers chose blueberries because of the positive health benefits that they offer,
and consequently marketers have labeled blueberries a “superfood” (Statistics Canada,
2006). Consumers have responded to the positive health information regarding
blueberries by increasing consumption. From 1994 to 2014, US per capita blueberry
consumption increased nearly 600 percent, more than any other fruit or vegetable (US
Highbush Blueberry Council, 2017b). Figure 1-1 shows that per capita fresh blueberry
consumption has risen from roughly 0.3 pounds per person in 2000 to a projected 1.7
pounds per person in 2016 (USDA/ERS, 2017a). Holding all else constant, as demand
increases, the price of blueberries will increase. An increase in the price of blueberries
elicits a response from producers to increase production. As a result, combined US
16
blueberry production and imports have increased more than six-fold, from roughly 80
million pounds in 2000 to over 550 million pounds of production in 2016, as shown in
Figure 1-1.
While producers across the US have increased blueberry production in response
to the growing US demand for blueberries, a unique factor has contributed to the
increase in blueberry production specifically in Florida. Florida is known for producing
citrus, and is second only to California in terms of total utilized citrus production as of
2017 (USDA/NASS, 2017a). Utilized production is the total amount of a crop sold as
well as the amount held in storage (USDA/NASS, 2017b). Yet, citrus production in
Florida has been declining sharply in the last few years due to Huanglongbing (HLB).
HLB is a citrus disease that reduces fruit quality, yield, and size while increasing tree
mortality rate (Lopez & Durborow, 2014). HLB was first discovered in Florida in 2005,
and has had a significant impact on production (Bové, 2006). The Florida citrus industry
has declined to the lowest production level in over 50 years with 94 million boxes
produced in 2016 (USDA/NASS, 2017c). As the citrus industry continues to decline,
farmers and businesses are turning to alternative crops; such as blueberries. Florida’s
blueberry production began at 1 million pounds of annual utilized production in 1993,
and has grown to 14.6 million pounds in 2016 (USDA/ERS, 2017b).
Florida blueberry farm establishment and production costs are high. To
recuperate the initial fixed costs, as well as maintenance costs, farmers are incentivized
to produce the highest possible yields and sell at the highest possible prices (Nicholson
and Snyder, 2011). Farmers only experience profits when revenue is sufficiently high
enough to offset costs. Yields and prices for Florida blueberry operations are volatile
17
(Williamson, Olmstead, & Lyrene, 2015). One way farmers can lower the risks
associated with yield and price variability is by purchasing crop insurance. Crop
insurance compensates producers for eligible losses of either yield or revenue. This
thesis compares and contrasts two available crop insurance policies for Florida
blueberry producers, and seeks to make recommendations for which policy is more
beneficial given certain market conditions.
Research Problem
The two policies currently available to Florida blueberry growers are Actual
Production History (APH) and Whole-Farm Revenue Protection (WFRP). The APH
policy has been available to Florida growers since 2000, whereas the 2014 Farm Bill
established the WFRP policy. The APH policy is available specifically for blueberries
while the WFRP policy can apply to many different crops including blueberries.
At the time of this thesis, to the best of my knowledge, no detailed comparison
between the two policies has been performed. There are two obvious differences
between APH and WFRP: the cost of each policy (i.e.: premium) and their coverage.
WFRP has a higher premium compared to APH. However, under the APH policy, only
physical damages to blueberries (i.e.: yield) trigger an indemnity payment while the
WFRP protects against revenue loss.
The farmer must then choose between the more comprehensive coverage
offered by the WFRP policy or the less expensive APH policy. The most beneficial
policy is not always obvious, as there are many factors to take into consideration when
choosing crop insurance.
18
Objectives
The primary objective of this study is to analyze which insurance policy is
more advantageous for the average Florida blueberry farmer, and under which
market conditions one policy becomes more beneficial than the other. A secondary
objective of this thesis is to evaluate the appropriateness of the premium rate set by
the Risk Management Agency (RMA) using numerical methods. These two primary
objectives will be accomplished through the following specific objectives:
Specific Objectives
Establish a dataset that represents the average Florida blueberry farmer in Alachua county; including the average yield produced and price received, as well as the variation of yield and price.
Run simulations based on the average Florida blueberry yield and price, in order to find the rate at which each policy triggers a payment from the crop insurance company.
Create scenarios of different price to yield correlations to account for market variability and risk.
Analyze each crop insurance policy under different scenarios and determine which are most advantageous by examining the cost, probability of indemnity, and expected indemnity.
Determine the actuarially fair premium rate for each policy and compare that to the current rate established by the RMA.
To meet these objectives, this thesis will first provide relevant information through
the Literature Review, outline the steps taken to measure the objectives in the Methods,
followed by a discussion of the Results, and end with a summary Conclusion. While the
introduction gave a brief overview of the blueberry industry as a whole, the Literature
Review will focus on blueberry production and crop insurance specifically in relation to
Florida.
19
Figure 1-1. US imports, net production, and per capita use of fresh blueberries 1980-2016. Source: United States Department of Agriculture / Economic Research Service, 2017. (USDA/ERS, 2017)
20
CHAPTER 2 LITERATURE REVIEW
This chapter will begin with an overview of the Florida blueberry industry,
including the distinct genetic varieties and climatic factors that make Florida blueberry
production possible. Florida blueberry production is ranked relative to other states, and
a timeline of US blueberry production and imports is established. The two crop
insurance policies are compared in detail to one another, with examples. Complications
in establishing the premium rate are explored. The chapter concludes with a discussion
of the appropriate distribution to use for farm yields.
A Brief History of Florida Blueberry Production
Blueberries are typically grown in climates with mild summers and high-pH soils
(Williamson, Lyrene, & Olmstead, 2015). The amount of time during the dormant winter
months in temperatures below 45° F, referred to as chill-hours, is essential to blueberry
growth (Scherm, Savelle, & Pusey, 2001). Genetic varieties of blueberries have been
cultivated for different climates with different ranges of chill-hours. There are five main
varieties of blueberries grown in the US: Northern Highbush, Southern Highbush,
Rabbiteye, Lowbush, and Half-High (Evans & Ballen, 2014). The Northern and Southern
Highbush varieties are the most commonly grown in the US. The Lowbush variety is
commonly produced in New England and is classified as “wild cultivated”. The main
difference between wild and cultivated blueberries is that wild blueberries are not
planted, yet both are harvested in a similar fashion (Wild Blueberries of North America,
2018). The Northern Highbush varieties require roughly 800 – 1,000 chill hours annually
and are generally produced in the northern half of the US. Southern Highbush varieties
require a lower amount of chill hours (200-300) and are produced in the southern
21
portions of the US, including Florida (Evans & Ballen, 2014). Without the development
of Southern Highbush varieties, Florida would be too warm for any blueberries to grow
(Williamson, Olmstead, England, & Lyrene, 2014). The southern highbush blueberry
variety was first produced commercially in Florida in 1993 (USDA/ERS, 2017b). Figure
2-1 depicts the average chill hours for a typical Florida winter (Olmstead, Anderson, &
Williamson, 2016). Figure 2-1 shows the production area for blueberries in Florida
depicted in blue (540-660) to green (110-210), from the northern border of Florida to De
Soto county. This range of chill hours is ideal for the Southern Highbush variety, which
was developed for warmer climates.
The North American climate is ideal for growing blueberries, and production is
unparalleled anywhere else in the world. The United States and Canada dominate
blueberry production on the global scale. According to the most recent data from Food
and Agriculture Organization of the United Nations, the US and Canada accounted for
38.77% and 26.91% of worldwide blueberry production in 2014, respectively (FAO,
2017). Figure 2-2 depicts the top blueberry-producing nations in 2014. The United
States and Canada lead, followed by Chile, Argentina, Mexico, Poland, Germany, and
France. In 2014, the US produced a total of 578,798,730 pounds of blueberries (FAO,
2017). The US blueberry season is typically from April through October, and the
majority of the harvest occurs from mid-June to mid-August (US Highbush Blueberry
Council, 2017c). Therefore, to meet demand, the US must import blueberries when
domestic blueberries are not in season.
The United States is both the leading producer and importer of blueberries. The
most recent FAO data showed that the US imported 228 million pounds of blueberries in
22
2013 (FAO, 2017). The majority (98.77%) of blueberry imports were from Chile,
Canada, Argentina, and Mexico. Chile accounts for 58.75% of these imports, followed
by Canada at 28.39%, and Argentina and Mexico at 7.10% and 4.52%, respectively.
Despite the Canadian blueberry season being roughly the same time as in the United
States, Canadian blueberry exports to the US run from late summer to early fall, as
domestic blueberry demand peaks in the summer months (Agriculture and Agri-Food
Canada, 2016). The South American blueberry season is from November through
March (Retamales et al., 2014). The Mexican blueberry season typically runs from
November to May (Johnson, 2015).
Northern states dominate US domestic blueberry production. Table 2-1 depicts
the current top ten blueberry-producing states since 2000. As of 2016, the top
blueberry-producing states in order are Washington, Oregon, Michigan, Maine, Georgia,
California, North Carolina, New Jersey, Florida, and Mississippi (USDA/ERS, 2017b).
Nine out of the ten states increased production from 2000 - 2016, attributable to the
rising US demand for blueberries. Washington had the largest percentage increase in
production at 864.14%, followed by California (556.04%), Florida (421.43%), and
Oregon (300.34%).
Table 2-2 depicts the total domestic market share for each of the current top ten
blueberry-producing states from 2000 - 2016. The top four blueberry-producing states
and New Jersey are part of the northern region, and constitute 71% of the entire US
blueberry production as of 2016 (USDA/ERS, 2017b). The southern region of Georgia,
California, North Carolina, Florida, and Mississippi make up the remaining 29%. The
dominance of the northern states in the blueberry market shapes the domestic
23
blueberry season. Northern blueberry varieties require a higher number of chill hours
(800+) compared to southern varieties (200-300). Both northern and southern varieties
may achieve these chill hours by the same date. However, it takes a longer period of
time for northern blueberries to bloom and subsequently ripen. This is due to the lack of
adequate sunlight and lower average temperatures (Evans & Ballen, 2014). Therefore,
the northern blueberries bloom in the summer months and the southern blueberries
bloom in the spring. Florida blueberries are the first to bloom, followed by other southern
states such as Georgia and California. Southern states are out-produced by the
northern states, which dominate the market. Due to increasing economies of scale, the
northern states can sell blueberries at a lower price and drive out competition from
southern states. However, southern states generally end production just before northern
state harvest begins. Due to the southern and northern states producing at different
times, they generally do not compete against each other in the market.
Blueberry Cyclical Price and Seasonality Graphical Analysis
To illustrate how the US blueberry market works, Figure 2-3 shows the
production of domestic blueberries as well as imported blueberries from July 2007 to
July 2017, using data gathered from the Agricultural Marketing Service (AMS) of the
USDA. Figure 2-3 has been broken into three different producers: ‘United States’,
‘Florida’, and ‘Southern’. The ‘United States’ series is the cumulative total of all
blueberry production from Washington, Oregon, Michigan, Maine, Georgia, California,
North Carolina, and New Jersey. Florida was excluded in the ‘United States’ series to
isolate the Florida blueberry season. Mississippi and other states not included in Table
2-1 or Table 2-2 are excluded because they do not produce enough for the AMS to
record weekly blueberry data. The ‘Southern’ series is the aggregate total amount of
24
blueberries imported into the US from Chile, Argentina, and Mexico. These countries
were chosen because they are the top off-season blueberry exporters to the US, and
constitute the clear majority of off-season blueberry imports. Although Canada is a
major exporter of blueberries to the US, Canadian blueberries are imported during US
blueberry production in the late summer and fall. Canadian blueberry exports do not
have an impact on the Florida blueberry season. Thus, Canadian exports are excluded
from Figure 2-3. Figure 2-3 depicts the total amount of blueberries in the US at any
given time from July 2007 – July 2017. Blueberry volume reaches an annual peak
during the summer months, when the northern US states harvest. The ‘Southern’
exporters provide the US with blueberries during the off-season. The ‘Florida’ season
bridges the gap between the ‘Southern’ exports and the beginning of the US domestic
production period.
While Figure 2-3 represents the total volume of blueberry production, Figure 2-4
represents the average national retail price of different blueberry packaging units. Farm-
level prices (prices received by the farmer) are available only on a yearly basis, while
retail price is available on a weekly basis. The high retail price is heavily associated with
the price that farmers will receive, as stores buy wholesale from the farmers then raise
the price to turn a profit. Thus, retail prices are used as a proxy for farm prices. The
prices in Figure 2-4 are not the prices received by farmers, but are the average
weighted national retail price across the entirety of the US. For each package, the blue
line represents the price of the blueberry package. The green line is the average
weighted national retail price for the timeline of each package, which provides a
reference point as to when the price is higher or lower than the average. The pink
25
rectangles symbolize the average Florida blueberry season. The rectangles are only a
guide to show what the price is during the Florida season, which span from mid-March
to mid-May. Any Florida season could be earlier, later, larger, or more compressed than
the rectangles shown, depending on imports and domestic production. Figure 2-4 is
broken down into different packaging units, as well as time ranges. The types of
blueberry packages are 4.4oz cup, 6oz cup, 1 pint, and 18oz cup. Figure 2-4 shows the
national price of 4.4oz cup of blueberries from 2007-2017, the national price of 6oz cup
of blueberries from 2010 – 2017, the national price of 1 pint of blueberries from 2010 –
2017, and the national price of 18oz of blueberries from 2011-2017 (USDA/AMS, 2017).
The packages have different ranges, because the AMS would only record data if there
was a significant amount of observations of that package type.
The heavier the package type, the higher the price of the package. The average
price of blueberries per pound can be found by converting the package types to their
per pound equivalent values. The total weighted average national retail price of
blueberries during the Florida season for 2017 is $6.44 per pound (USDA/AMS, 2017).
The most commonly sold package type is the 6 ounce package. The pink rectangles in
Figure 2-4 represent that average Florida blueberry season. Figures 2-4 shows that the
rectangles depicting the Florida season have a generally higher price in comparison
with the average weighted national retail price. There is typically a drop in price after the
Florida season ends, which is depicted in Figure 2-4, as Georgia and other southern
states begin harvesting.
Figures 2-3 and 2-4 should be compared, as the two are associated with each
other. If there is a year in which the Florida season was isolated, meaning that there
26
were no late imports or early domestic production, prices should reflect that and be
higher. If the Florida production line is overshadowed by imports or domestic production
then prices should not be as high. A trend emerges from Figure 2-4, showing steep
drops in price once the other southern states begin to produce in the United States. The
blueberry price drops abruptly due to the domestic production of blueberries rising
rapidly. If Florida produced at the same time as the other states, Florida blueberry
growers would receive lower prices.
Florida Market Window
Since Florida’s blueberries are the first to ripen and be harvested domestically,
Florida growers can sell blueberries at a higher price. Florida’s blueberries are ready for
harvest as early as late March until mid-May. Meanwhile, the United States average
blueberry harvest time is June through August (US Highbush Blueberry Council, 2017c).
There is a small market window in which prices remain high enough for blueberry
production to be profitable in Florida.
The market window is the same as the prime Florida blueberry season. The
market window for Florida blueberries begins when South American imports decline and
ends when other southern states being to harvest. This window can shift, as well as
become compressed or expand, depending on both international trade and domestic
production. The United States total domestic blueberry production and international
imports timeline is shown in Figure 2-5. The United States imports blueberries from
Chile and Argentina from November through March, shown in green in Figure 2-5.
Blueberry prices are generally higher during these months as South America’s supply of
blueberries does not satisfy domestic blueberry demand in the US. In addition, the
blueberries are higher in price due to cost of transportation. For any internationally
27
traded commodity, import tariffs could raise price. As of March 2018, import tariffs into
the US have the potential to raise the price of blueberries by roughly 1.27 cents per
pound (US International Trade Commission, 2017). However, the United States has
free-trade agreements with Chile, Canada, Argentina, and Mexico on blueberries (US
International Trade Commission, 2017). Thus, there is no import tariff on blueberries
originating from these countries.
Once blueberry imports to the US from South America end in March, the market
window begins for Florida blueberries, depicted in yellow in Figure 2-5. Prices rise
drastically as the United States domestic demand for blueberries remains high, while
little to no blueberries are supplied domestically or imported from other countries. Other
southern states such as Georgia, North Carolina, and California tend to lag behind
Florida a few weeks due to their comparatively colder climates, and generally do not
produce significant quantities of blueberries until early May.
Once these southern states start harvesting the bulk of their blueberries, prices
drop substantially. Prices continue dropping as northern states begin harvesting in
June. Blueberry supply reaches a peak during the summer months, and consequently
prices drop to the lowest yearly value.
Figure 2-6 shows the average grower price received per pound for blueberries by
the top 10 blueberry-producing states in 2016 (USDA/NASS, 2017a). Price is influenced
by two factors: time of production and blueberry type. As mentioned, the earlier that a
state can produce (so long as it does not compete with South American exports), the
higher the price. Blueberry type refers to either fresh blueberries or processed
blueberries. Fresh blueberries are sold as edible fruit, while processed blueberries are
28
used as an ingredient in other foods, such as blueberry yogurt (Li and Gu, 2015).
Mechanical harvesting is typically used for processed blueberries, while fresh
blueberries are handpicked. Mechanical harvesting bruises 78% of blueberries, making
them unmarketable as fresh fruit (Li and Gu, 2015). Fresh blueberries are sold at a
higher price compared to processed blueberries. Figure 2-7 shows the total production
of blueberries by state in 2016, with a breakdown of the percentage of fresh vs
processed blueberries produced (USDA/NASS, 2017a). In Figure 2-7, Florida and
California produce exclusively fresh blueberries. This results in higher prices for
blueberries received by growers, as shown in Figure 2-6. In Figure 2-6, Florida growers
received the highest price among all states, at $3.68 per pound. This is over three times
the national average of $1.22 per pound. These high prices received by Florida growers
are a result of being the first state to produce domestically as well as selling exclusively
in the fresh market. The prices growers receive in Figure 2-6 are correlated with the
type of blueberries produced in Figure 2-7. Northern states which produce later in the
season and produce a high amount of processed blueberries, such as Michigan,
Oregon, Maine and Washington, receive lower prices below the national average.
The domestic blueberry production season, which does not including Florida, is
depicted in blue in Figure 2-5. The US imports blueberries from Canada from the end of
the domestic production season until the beginning of the South American season,
generally from mid-August to mid-October. The Canadian blueberry season is depicted
in pink in Figure 2-5.
Florida exclusively produces blueberries domestically during the market window,
yet faces competition at the international level from Mexico. Mexico is an emerging
29
blueberry producing nation which could have a direct and substantial impact on
Florida’s future blueberry prices. Blueberries die if exposed to too much heat, and will
not bloom if they do not get the required number of chill-hours. Mexico is able to
produce blueberries on centrally-located and highly elevated plateaus, which reduce the
temperature significantly so that the required amount of chill-hours can be achieved
(Johnson, 2015).
The US began to import blueberries from Mexico in 2005, but Mexico could not
produce blueberries at a large enough volume to make an impact on US prices
immediately. Figure 2-8 shows a side-by-side comparison of Florida production and the
number of pounds of blueberries imported from Mexico to the US from years 2011-
2016. The red bar depicts the total blueberry production in Florida. The yellow bar
represents Mexican blueberry imports to the US during the Florida market window. The
green bar represents the rest of the imports of Mexican blueberries to the US outside of
the Florida market window, typically earlier. The sum of the green and yellow bar
represents the total Mexican blueberry imports into the US. Figure 2-8 shows that
Mexican blueberry production has increased substantially since 2009. 2013 was the first
year that total Mexican blueberry production was roughly half of Florida blueberry
production. Only the yellow bar, the Mexican blueberries produced in the months of
March through May, are the ones that can impact the prices received by Florida
growers. The 2016 season marked the first time that Mexico out-produced Florida
during the Florida market window. In Figure 2-8, Mexican blueberries compete with
Florida’s premium blueberry prices during the same market window, as Mexican
blueberries can be harvested anytime from November to May. Mexican producers have
30
an incentive to produce blueberries in April, during the same market window as Florida
to receive higher prices. As Mexico continues to expand their production, prices for
Florida growers are likely to fall. Mexico tends to sell blueberries via truck through
Texas, while Florida mainly sells blueberries to parts of the eastern United States
(Bradley, House, & Wysocki, 2016). Transportation costs could increase the price of
Mexican blueberries in comparison to Florida, but they are assumed to be negligible in
the scope of this thesis. An expanding Mexican blueberry industry could jeopardize the
high prices that Florida growers rely on.
Crop Insurance Policies
Crop insurance is a risk-management tool, which covers farmers against either
production losses or revenue loses, depending on the policy. Growers pay a price for
purchasing crop insurance, which is referred to as a premium. The coverage level
determines the level at which a loss will trigger a payment from the insurance company,
referred to as the indemnity. The loss trigger is the same as the guarantee, which is the
maximum amount under the specified coverage level that the grower is entitled to given
an insurable cause of loss. Any insurable amount below the guarantee will trigger an
indemnity. If there is a loss of the grower’s crop or revenue in an amount that triggers an
indemnity, then the crop insurance company will reimburse the grower a portion of what
was lost based on his/her insurance policy. The premium, as well as the indemnity, both
depend on a multitude of factors including the type of crop, policy, coverage level,
county, etc.
The chosen crop insurance policies available to Florida blueberry growers
analyzed in this thesis are: Actual Production History (APH) and the Whole-Farm
Revenue Protection (WFRP). Actual Production History is available to farmers who
31
specifically grow blueberries. The Whole-Farm Revenue Protection plan can apply to
many different crops, including blueberries.
Actual Production History
APH insures producers against yield loss due to any eligible cause of loss, which
include adverse weather conditions, fire, failure of irrigated water supply, earthquake,
insects and/or plant disease (but not due to misused application of control measures),
insufficient chilling hours, volcanic eruption, or wildlife (unless adequate control
measures are not taken) (USDA/RMA, 2005). At the time of sign up, the producer
chooses an amount of coverage - ranging from 50-75%, as well as the percent price
coverage level, which ranges from 55-100% of the annual RMA established crop price
(USDA/RMA, 2005). APH losses are triggered at the farm level. The Supplemental
Coverage Option (SCO) is available as an additional policy once a grower enrolls in
APH. The coverage selected from the base APH coverage (50-75%) is augmented to
86% coverage with SCO. SCO is only available as additional coverage to APH and not
as a stand-alone coverage policy (USDA/RMA, 2016a). This thesis does not analyze
SCO, as a majority of growers do not enroll in SCO. APH is available for Florida
blueberry growers in the following counties: Alachua, Citrus, De Soto, Hardee,
Hernando, Highlands, Hillsborough, Lake, Marion, Orange, Pasco, Polk, Putnam, and
Sumter (USDA/RMA, 2017a).
Whole-Farm Revenue Protection
As indicated by the name, the WFRP plan protects farmers from revenue losses.
Eligible causes of loss include adverse weather conditions, fire, insects, plant disease,
earthquake, volcanic eruption, failure of irrigated water supply, wildlife, and a decline in
the market price (USDA/FCIC, 2016). The WFRP plan is a holistic policy, insuring the
32
farm’s revenue under one policy. To be eligible for WFRP, the farm must generate no
more than 8.5 million dollars in insured revenue. WFRP is available in most states and
counties, however not all crops are eligible for coverage in all counties. Crop eligibility is
specific to each county. Blueberries are eligible under the WFRP plan in all Florida
counties except for Broward, Martin, Miami-Dade, Okeechobee, Palm Beach, and St.
Lucie (USDA/RMA 2017a).
Coverage levels for the WFRP plan are more complex than APH’s base range of
50-75%. There are bonus maximum coverage levels available depending on the
diversification of the farm’s crops. If revenue is generated from a single crop (the grower
produces one crop exclusively) then the coverage levels available for the WFRP plan
range from 50-75%. The farmer will be given the base subsidy amount for WFRP when
revenue is generated from a single crop. If revenue is generated from two or more crops
in eligible amounts under the WFRP plan, then the grower will receive an additional
premium subsidy (USDA/RMA, 2016b). If revenue is generated from three or more
crops, then the coverage level range increases to 50-85%. For crops to meet the
diversification requirements, the revenue generated by that crop must meet a minimum
percentage of farm revenue, shown in Equation 2-1:
𝑀𝑖𝑛𝑖𝑚𝑢𝑚 𝑅𝑒𝑣𝑒𝑛𝑢𝑒 𝑃𝑒𝑟𝑐𝑒𝑛𝑡𝑎𝑔𝑒 = [100
# 𝑜𝑓 𝑐𝑟𝑜𝑝𝑠] /3 (2-1)
For example, if a farm attains revenue from two crops covered under the WFRP
then the minimum revenue percentage that each crop must make is equal to: [100/2] / 3
= 16.67%. That means that at least 16.67% of total revenue must come from each crop.
The minimum revenue percentage is different than the acreage totals of the crops. One
crop could account for 90 acres while the other crop accounts for 10, but this does not
33
mean that the crops are not eligible. The eligibility is based on the revenue percentage
gained from these crops, not the acreage totals. Figure 2-9 shows what the minimum
diversification requirements are for different numbers of crops, the potential coverage
level, and the additional premium subsidy in the case that at least two crops meet the
diversification requirements. Diversification is another risk management tool capable of
lowering risk regardless of crop insurance. The classical proverb “Don’t put all your
eggs in one basket” applies to farmers looking to mitigate risk. As long as the returns
are not perfectly correlated, farmers can mitigate their unsystematic risk (the risk
associated with the invested crop), by adding additional crops to their farm. On average,
the returns will be less uncertain and thus the risk will decline.
Figure 2-9 shows that there are incentives for farmers who diversify their crops
under the WFRP plan. In Figure 2-9, if a farm produces one crop, the coverage level
ranges from 50-75% and the subsidy percentage ranges from 50-67%. The addition of
one more crop does not change the coverage level choices, but does raise the subsidy
to 80% for all the coverage levels. Three or more crops will allow the farmer to choose
any coverage range from 50-85%, granting the farmer up to 10% more coverage.
Monoculture is risky due to the fact that any disease or weather event, which affects the
crop, could jeopardize the entire production. Monoculture Florida citrus farmers, for
example, had no other crop to turn to for additional sources of revenue in the wake of
HLB. Yet farmers who diversified their crop portfolio with the addition of blueberries or
another alternative crop, mitigated the losses from citrus and relied on the secondary
source of income provided from the alternative crop. This thesis recognizes that crop
diversification under WFRP does have an impact on crop insurance premiums and
34
indemnities, and a simplified example of this impact is provided in the methods section
of this thesis.
While crop diversification under WFRP is available and provides benefits to the
grower, many blueberry growers in Florida do not diversify their crops and produce
exclusively blueberries. Data on multi-crop WFRP enrollment rates that include
blueberries is not available to the public. Additionally, diversification will result in an
exponential amount of possible combinations of crops to consider. Florida growers can
insure over 50 other crops to pair with blueberries, and each crop has an influence on
the premium rate. Furthermore, the revenue percentage of the diversified crops also
influences the premium rate. These factors make scenario analysis and comparison
between APH and WFRP exceedingly complex. Thus, due to lack of data and the
complexity of diversification, this thesis will not consider the WFRP crop diversification
scenario when comparing APH to WFRP in the results section of this thesis. Only the
simplified example in the methods example will consider the impacts of crop
diversification.
While a grower may have to pay a higher premium for a single crop farm under
WFRP compared to APH, the coverage of the WFRP protects against all the production
factors that APH covers in addition to a decline in the market price. The insurable crop
price for the season in the APH policy is established by the RMA (usually occurring in
January) and is fixed. What happens when there is a decline in price? Which coverage
option is more beneficial to the farmer?
APH and WFRP Example
Consider an example where the farmer has a covered revenue of $11,395 per
acre under the WFRP policy. If the blueberry price during a given season is low, for
35
example, only half the price during an average blueberry season, the farmer would
make half the revenue compared to a normal year holding all else constant. Under the
APH policy, no indemnity would be triggered because production never suffered a loss.
This is because it was not the crop that failed or suffered a loss, it was the price that
caused the value of the farm’s production of blueberries to plummet. Under the WFRP
policy, an indemnity would be triggered. If the farmer had a 65% coverage level,
$7,406.75 per acre would be the guarantee or loss trigger. The actual revenue that the
farmer would make from the blueberries would be $5,697.50 per acre. This farmer
would receive an indemnity of $1,709.25 per acre ($7,406.75 – $5,697.50), while a
farmer enrolled in APH would receive no indemnity. The likelihood that prices would
drop substantially to trigger an indemnity under WFRP while the yields remain constant
is low. The most likely case that this would occur is if a grower missed the Florida
market window, producing too late so that prices decline.
Abandoned Acres
When the market window closes in Florida (typically in May) and blueberry prices
drop, harvesting the remaining blueberries may not be the most profitable choice for the
farmer. The cost to harvest blueberries may be higher than the price that the farmer will
receive. In this case, many farmers choose to leave the blueberries in the field. In this
scenario, when farmers try to file a claim for insurance purposes, the blueberries could
become classified as “abandoned”. Blueberries classified as abandoned are not
covered by APH or WFRP, and farmers will not receive compensation. Crop insurance
is particularly important to blueberry growers due to the nature of the Florida blueberry
season. The Florida blueberry season is both more susceptible to freezes than other US
36
blueberry markets due to early blooms, and has a smaller market window in which to
harvest and market the blueberries at premium prices.
Another important difference between both policies is the stance on abandoned
acres. In 2016, there was a decline in Florida blueberry production due to a lack of chill
hours during the winter, as shown by the low production amount compared to 2015 in
Table 2-1. APH does cover insufficient chill hours as a cause of loss if the blueberries
were damaged or bloomed not bloom due to insufficient chill hours. However, the
blueberries finally did fruit later on, and the opportunity to sell blueberries during the
market window at premium prices had passed. The prices had dropped so low that
selling blueberries would not cover the variable cost to harvest. It was in the farmer’s
best interest to leave the blueberries in the field rather than to harvest them. Under
APH, these unharvested fields become classified as “abandoned.” The Common Crop
Insurance Policy Provisions, under which APH is offered, defines “abandon” as:
Failure to continue to care for the crop, providing care so insignificant as to provide no benefit to the crop, or failure to harvest in a timely manner, unless an insured cause of loss prevents you from properly caring for or harvesting the crop or causes damage to it to the extent that most producers of the crop on acreage with similar characteristics in the area would not normally further care for or harvest it. -Common Crop Insurance Policy Basic Provisions (USDA/RMA, 2010)
Once these unharvested fields are classified as abandoned, they count as part of
total production. From the perspective of the crop insurance company, the farmer had a
full production year after adding the unharvested fields to the total production amount.
Thus, the farmers did not receive an indemnity under APH.
The classification of abandoned fields is a major drawback of the APH policy.
However, the Whole Farm Revenue Protection plan is not under the jurisdiction of the
37
Common Crop Insurance Policy Provisions. The WFRP plan defines “abandon”
differently:
Failure to continue activities necessary to produce an amount of allowable revenue equal to or greater than the expected value of a commodity, performing activities so insignificant as to provide no benefit to a commodity, or failure to harvest or market a commodity in a timely manner. -Whole Farm Revenue Protection Pilot Program (USDA/FCIC, 2016)
WFRP focuses on revenue, and the definition of an abandoned acre is more
open to interpretation than the APH definition. However, there is a clause in the WFRP
policy that clarifies the policy’s stance on abandoned fields:
Provided you have met the requirements of section 22(c), a commodity that you have ceased to care for will not be considered abandoned if: You decide not to harvest a commodity due to low market prices, in accordance with section 22(c).
-Whole Farm Revenue Protection Pilot Program (USDA/FCIC, 2016)
Section 22(c) of the WFRP plan specifies that the farmer must notify and obtain
consent from the crop insurance company before they abandon the field(s). Once
section 22(c) has been met, the farmer’s unharvested fields will be covered and counted
as an insurable cause of loss to revenue, as they will no longer be considered
“abandoned”. The farmer will receive an indemnity for the unharvested fields in an
amount up to the revenue guarantee. Under this scenario, the WFRP plan covers
losses of revenue due to declines in price, and also insures unharvested fields due to
low market prices. In order for the WFRP policy to be the most advantageous choice
compared to APH, the indemnity amount must offset the premium cost such that the
WFRP policy is more profitable than APH. This depends on the expected indemnity
under WFRP or APH, as well as the premium.
38
Premium Ratemaking
It is extremely difficult for the RMA to set premiums at an actuarially fair rate (a
rate such that the premium amount is equal to the indemnity in the long run). The APH
policy premium rate is based on historical loss data (Coble et al., 2010). The WFRP rate
is based on that of APH, so a potential misrating in APH would be carried over to
WFRP. Ideally, the RMA would have access to 20-30 years of reliable loss data in to
look back upon and establish an actuarially fair rate. Theoretically, the more data
available to the RMA, the higher the accuracy of setting an actuarially fair premium rate.
Even when there is a vast amount of data available, it is still difficult to set an
actuarially fair rate. Having a data base that spans a long time faces the challenges of
differing participation levels, a shift to revenue-based crop insurance, shifts to other
coverage levels, and rating adjustments (Coble et al., 2010). Cotton and corn, two of the
most commonly-produced crops with enormous amounts of available data, have had
rates that are not actuarially fair.
Cotton producers participating in the Federal Crop Insurance Program pay significantly higher premiums and receive a lower indemnity per dollar of coverage when compared to other major commodities. In addition, cotton insurance premiums vary greatly among otherwise similar counties with little explanation. -Senate Report 105-212 – Agriculture, Rural Development, Food and Drug Administration, and Related Agencies Appropriation Bill, 1999
Illinois corn had estimated premium rates that were 75% - 180% higher than the
actuarially fair rate (Woodard, Sherrick, & Schnitkey, 2011). In 2013, the RMA revised
their rates for wheat, cotton, rice, corn, sorghum, and soybeans; which comprise some
of the most widely produced crops in the US (USDA/RMA, 2012).
Given that it is hard enough to set the premium at an actuarially fair rate when
there is sufficient data available, the task becomes increasingly more difficult when
39
there is a limited amount of data available concerning loss experience. Specialty crops
(such as blueberries) have much less data available concerning loss experience
compared to row crops (e.g.: corn, soybeans, cotton, etc.). Specialty crops have higher
price variation compared to staple crops (Ligon, 2011). Since many specialty crops are
located within a concentrated area, any shocks (significant yield losses) result in a
significant increase in price (Ligon, 2011). The grower may not be harmed by the yield
loss (since a price increase compensates for the yield loss), and a further indemnity
payment from APH for example may be paid to the grower at the expense of the
taxpayer.
The RMA sets crop insurance premiums at the county level, and has an
established method for defining how to set up the rate based on classification of the
county, which in turn depends on the loss experience data available. The base premium
rate set by the RMA is a function of yield, a fixed load, and a reference rate
(USDA/RMA, 2008). The reference rate is measured from the loss experience of the
county. The loss experience of the county is given a credibility rating by the RMA.
Alachua county produces the most blueberries in Florida, and accounts for the
highest blueberry acreage. Thus, Alachua is the most representative county with the
most data available for blueberry production in the state. Yet the RMA classifies
Alachua as a “subjective” county, which is the lowest possible credibility rating a county
can have for crop insurance purposes. Such a rating was given due to a lack of
sufficient data, indicating that Alachua’s base premium rate is determined by making
use of whatever county data is available but also taking into account other factors such
40
as adjacent counties loss experience, and input from the appropriate RMA regional
office (USDA/RMA, 2008).
Distribution of Yields
An important consideration in the analysis of premium rates is that yields and
prices are correlated with. The interaction between supply and demand determines the
price of a commodity (Nicholson and Snyder, 2011). The demand curve for a good is
downward sloping (consumers demand more of a good when it is cheaper). The supply
curve for a good is upward sloping. Where the demand and supply curve meet is the
equilibrium price – the quantity of goods produced is equal to the demand.
Given that blueberries are a perennial crop, once acreage is established, yield is
the main factor affecting supply. Assuming demand is downward sloping, any increase
in yield will result in a decrease in price. Conversely, any decrease in yield will result in
an increase in price.
The distributions of yield and prices are related to production and market risk,
respectively. Risk is a measure of variability. If yields and prices exhibit no variability, it
would mean that they are constant, and no risk is present. Thus, risk can be measured
by analyzing the distribution of a variable.
There are no studies that determine yield distribution specifically for blueberries.
There is also no definitive consensus in the literature on how farm yields in general are
distributed. Arguments have been made for the yield distribution being Beta, skewed
normal, and normal. Under uncertainty, and in the context of analyzing crop insurance
policies, the normal distribution is appropriate (Just and Weninger, 1999). Thus, the
normal distribution is used in this thesis.
41
The next chapter will outline the process used to establish which policy is more
beneficial to Florida blueberry growers in Alachua county. In much the same way that
the RMA gathers data to set the premium rate, data was collected to estimate the yield
and price received for an average Florida blueberry farm. The methods will outline the
computations and parameter values used in simulation, which are key in establishing
the probability than an indemnity will occur. The premium and indemnity equations were
used to calculate which policy is more advantageous.
42
Figure 2-1. Geographic overlay of average chill hours for a typical Florida winter. Source: Olmstead, Miller, Andersen, & Williamson, 2016
43
Figure 2-2. Top Blueberry-Producing Countries in 2014 by volume. Source: Food and Agricultural Organization of the
United Nations (FAO, 2017)
0
100
200
300
400
500
600
700
US Canada Chile Argentina Mexico Poland Germany France
Blu
eber
ry P
rodu
ctio
n(1
mill
ion
poun
ds)
Countries
44
Figure 2-3. Blueberry volume in the US produced by the United States, Florida, and by Southern Exporters from 2007 – 2017. Source: United States Department of Agriculture, Agricultural Marketing Service (USDA/AMS, 2017)
0
500
1000
1500
2000
2500
21-J
ul-0
7
21-O
ct-0
7
21-J
an-0
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21-A
pr-0
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21-J
ul-0
8
21-O
ct-0
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21-J
an-0
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21-A
pr-0
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ul-0
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21-O
ct-0
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21-J
an-1
0
21-A
pr-1
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21-J
ul-1
0
21-O
ct-1
0
21-J
an-1
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21-A
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21-J
ul-1
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21-O
ct-1
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21-J
an-1
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21-A
pr-1
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21-J
ul-1
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21-O
ct-1
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an-1
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pr-1
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21-J
ul-1
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ct-1
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an-1
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ul-1
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ct-1
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21-J
an-1
7
21-A
pr-1
7
Blu
eber
ries
(10,
000l
bs)
Date
UNITED STATESFLORIDASOUTHERN
45
Figure 2-4. Weighted Average National US Retail Blueberry Price for 4.4 ounce, 6 ounce, 1 pint, and 18 ounce blueberries for various years. Source: United States Department of Agriculture, Agricultural Marketing Service (USDA/AMS, 2017)
46
Figure 2-5. United States domestic blueberry production and import timeline. Source: United States Department of
Agriculture, Agricultural Marketing Service (USDA/AMS, 2017)
47
Figure 2-6. United States blueberry grower price received by state, 2016. Source: United States Department of
Agriculture, National Agricultural Statistics Service (USDA/NASS, 2017a)
0 0.5 1 1.5 2 2.5 3 3.5 4
Washington
Maine
Oregon
Michigan
US Total
Georgia
New Jersey
North Carolina
Mississippi
California
Florida
Average Price Received by Grower Per Pound ($) in 2016
$3.68
$1.22
48
Figure 2-7. United States blueberry production by state and type, 2016. Source: United States Department of Agriculture,
National Agricultural Statistics Service (USDA/NASS, 2017a)
100%
69%100%
69%
76% 85%
50%44% 24%
0%
0
20
40
60
80
100
120
140
Flor
ida
Geo
rgia
Cal
iforn
ia
Mis
siss
ippi
Nor
th C
arol
ina
New
Jer
sey
Mic
higa
n
Ore
gon
Was
hing
ton
Mai
ne
Southern States Northern States
Blu
eber
ry P
rodu
ctio
n
Milli
ons
Fresh Processed % Fresh Produced
49
Figure 2-8. Side-by-side comparison of Florida blueberry production vs Mexican blueberry imports to the US, 2009 – 2016. Source: United States Department of Agriculture, Agricultural Marketing Service (USDA/AMS, 2017)
0
5
10
15
20
25
30
Florida Mexico Florida Mexico Florida Mexico Florida Mexico Florida Mexico Florida Mexico Florida Mexico Florida Mexico
2008/09 2009/10 2010/11 2011/12 2012/13 2013/14 2014/15 2015/16
Blue
berr
y Pr
oduc
tion
(pou
nds)
Milli
ons
Season
Florida Production Mexican Production Outside March-May Mexican Production March-May
50
Number of Crops Minimum Required
Revenue Percentage for Each Crop (%)
Coverage Level Range (%)
Premium Subsidy Percentage (%)
5 6.67
85 56 80 71 75
80
70 65 60 55 50
4 8.33
85 56 80 71 75
80
70 65 60 55 50
3 11.11
85 56 80 71 75
80
70 65 60 55 50
2 16.67
75
80
70 65 60 55 50
1 33.33
75 55 70 59 65 59 60 64 55 64 50 67
Figure 2-9. The minimum revenue percentage requirements for different numbers of crops to meet the diversification requirements of the WFRP plan, the potential coverage level, and the additional premium subsidy in the case that at least two crops meet the diversification requirements. Source: United States Department of Agriculture, Risk Management Agency (USDA/RMA) 2017 Actuarial Information Browser (USDA/RMA, 2017a)
51
Table 2-1. Utilized Production of Blueberries by State from 2000 – 2016. Utilized Production1 in terms of 1,000 pounds
Year Washington Oregon Michigan Maine2 Georgia California3 North Carolina New Jersey Florida Mississippi3
2000 12,410 29,000 62,000 110,990 19,000 0 17,500 34,000 2,800 0 2001 15,000 28,500 70,000 75,200 17,000 0 13,500 37,000 3,100 0 2002 13,650 26,500 64,000 62,400 17,000 0 15,500 42,000 2,900 0 2003 13,200 23,900 62,000 80,400 17,000 0 22,500 40,000 3,500 0 2004 18,000 34,000 80,000 46,000 21,000 0 22,900 39,000 5,600 0 2005 19,600 34,500 66,000 60,150 26,000 9,100 26,000 45,000 5,200 0 2006 19,000 35,600 90,000 74,600 31,500 10,000 26,600 52,000 7,000 4,600 2007 29,600 45,000 93,000 77,250 11,000 16,500 16,200 54,000 7,800 9,500 2008 32,000 43,100 110,000 89,950 41,000 14,000 28,500 59,000 9,800 4,000 2009 39,000 48,000 99,000 88,100 43,000 24,200 32,700 53,000 13,500 5,900 2010 42,000 54,600 109,000 83,000 58,000 28,000 39,050 49,000 16,400 8,000 2011 61,000 65,500 72,000 79,900 62,000 42,100 36,200 62,000 21,400 10,500 2012 70,000 72,000 87,000 91,100 64,000 40,900 40,000 51,500 17,100 9,000 2013 81,600 89,500 117,000 87,130 65,550 51,400 40,000 47,940 19,500 6,300 2014 95,800 88,400 99,000 104,400 92,000 55,200 48,800 55,610 19,000 7,300 2015 103,950 96,900 73,100 101,000 84,000 62,150 49,500 48,600 24,800 5,800 2016 119,650 116,100 110,000 101,260 70,000 59,700 46,000 43,990 14,600 7,400 Percentage Change 2000-2016
864.14% 300.34% 77.42% -8.77% 268.42% 556.04% 162.86% 29.38% 421.43% 60.87%
1- Utilized production is the cumulative total of fresh and processed blueberries. 2- Maine produces exclusively wild blueberries. 3- California and Mississippi did not harvest blueberries until 2005 and 2006, respectively. There percentage changes are from the first year of
production to 2016. Source: United States Department of Agriculture, Economic Research Service (USDA/ERS, 2016) & United States Department of Agriculture, Agricultural Marketing Service (USDA/AMS, 2017)
52
Table 2-2. US Domestic Blueberry Market Share by State from 2000 – 2016. Year Washington Oregon Michigan Maine1 Georgia California2 North
Carolina New
Jersey Florida Mississippi2
2000 4.19% 9.78% 20.92% 37.45% 6.41% 0.00% 5.90% 11.47% 0.94% 0.00% 2001 5.60% 10.63% 26.12% 28.06% 6.34% 0.00% 5.04% 13.81% 1.16% 0.00% 2002 5.37% 10.42% 25.16% 24.53% 6.68% 0.00% 6.09% 16.51% 1.14% 0.00% 2003 4.89% 8.85% 22.96% 29.78% 6.30% 0.00% 8.33% 14.81% 1.30% 0.00% 2004 6.55% 12.37% 29.11% 16.74% 7.64% 0.00% 8.33% 14.19% 2.04% 0.00% 2005 6.56% 11.55% 22.09% 20.13% 8.70% 3.05% 8.70% 15.06% 1.74% 0.00% 2006 5.30% 9.93% 25.10% 20.80% 8.78% 2.79% 7.42% 14.50% 1.95% 1.28% 2007 8.12% 12.35% 25.52% 21.20% 3.02% 4.53% 4.45% 14.82% 2.14% 2.61% 2008 7.30% 9.83% 25.08% 20.51% 9.35% 3.19% 6.50% 13.45% 2.23% 0.91% 2009 8.61% 10.60% 21.85% 19.45% 9.49% 5.34% 7.22% 11.70% 2.98% 1.30% 2010 8.50% 11.06% 22.07% 16.81% 11.74% 5.67% 7.91% 9.92% 3.32% 1.62% 2011 11.80% 12.67% 13.93% 15.46% 11.99% 8.14% 7.00% 11.99% 4.14% 2.03% 2012 12.80% 13.17% 15.91% 16.66% 11.70% 7.48% 7.31% 9.42% 3.13% 1.65% 2013 13.36% 14.65% 19.15% 14.26% 10.73% 8.41% 6.55% 7.85% 3.19% 1.03% 2014 14.30% 13.19% 14.77% 15.58% 13.73% 8.24% 7.28% 8.30% 2.84% 1.09% 2015 15.73% 14.67% 11.06% 15.29% 12.71% 9.41% 7.49% 7.36% 3.75% 0.88% 2016 17.34% 16.82% 15.94% 14.67% 10.14% 8.65% 6.67% 6.37% 2.12% 1.07%
% Change
since 2000
314.14% 71.96% -23.79% -60.81% 58.25% 184.08% 12.91% -44.43% 123.97% -16.40%
1- Maine produces exclusively wild blueberries. 2- California and Mississippi did not harvest blueberries until 2005 and 2006, respectively. There percentage changes are from the first
year of production to 2016. Source: United States Department of Agriculture, Economic Research Service (USDA/ERS, 2016) & United States Department of Agriculture, Agricultural Marketing Service (USDA/AMS, 2017)
53
CHAPTER 3 METHODS
This chapter begins with the data collection process, noting the limitations of data
availability. Crop insurance terminology is reviewed so that each variable in the
premium and indemnity equations is understood. A brief example of a comparable loss
under APH and WFRP is provided to better comprehend how each variable influences
the premium and indemnity. Finally, this chapter outlines the parameters used for
simulations, which are essential in determining the probability that an indemnity will
occur.
Data Collection and Analysis
This thesis analyzes two main variables: the price received per pound by the
grower and the yield in pounds produced on a per acre basis. Grower prices and yields
are multiplied to generate data on revenue that growers receive on a per acre basis.
The variability of both prices and yields are also of critical importance, as they are used
to determine the likelihood of an indemnity trigger under the APH and WFRP policies.
Premium rates are established by the RMA at the county level. Data on yields
and prices for enrolled farms are not publicly released by the RMA. County level data
for all farms is only available for years when the census of agriculture takes place. The
last census of agriculture took place in 2012, and the next census results will not be
released until February 2019 (USDA/NASS, 2017d). Since data at the county level was
not available, data on grower prices and yields were assembled at the state level from
the 2017 Fruit and Tree Nut Yearbook, a document from USDA’s Economic Research
Service. The ERS records the annual average yield per acre produced and the fresh
price per pound that blueberry growers received for each state, found on page 96, Table
54
D-2 (USDA/ERS, 2017b). The overwhelming majority of Florida’s blueberries are sold
as fresh fruit. Thus, this thesis only takes into consideration the price of fresh
blueberries sold in the market.
The 2017 Fruit and Tree Nut Yearbook contains yield and fresh grower price data
from 1993-2016. However, years 1993-1996 are omitted, since the RMA only uses the
past 20 years of yield data when determining loss experience. Thus, the year range
from 1997-2016 was included in the dataset of yields and fresh grower price. The
nominal prices from 1995-2016 were adjusted for inflation using the producer price
index of fresh fruit, compiled from the ERS so that all prices are in terms of 2017-dollars
(USDA/ERS, 2017c).
Over time, there is a relatively steady increase in yield due to technological
advancements (better fertilizer, harvesting machinery, irrigation systems, farming
practices, etc). Technological advancements were accounted for by de-trending yields,
so that yield variability would only be due to weather occurrences. Thus, all yields are
adjusted so that they represent the technology in 2017. Figure 3-1 shows a scatterplot
of the actual yield, adjusted yields, and the technology trend line of Florida blueberries
from 1997-2016 (USDA/ERS, 2017b). The blue dots represent the actual yield observed
during the given year. The green dots represent the trend line of the actual yield, which
steadily increases over time. The orange dots represent the adjusted yields, the
theoretical yields if the technology in 2017 was implemented in all years. The trend line
is associated with the technological advancements. According to the trend line in Figure
3-1, the 2017 blueberry yield is predicted to be 4,949.89 pounds per acre. The rationale
for this methodology is that as time goes by, the growers will learn and implement the
55
best strategies to grow blueberries and increase production, through the use of some
type of technology. Technology is a broad term, but is attributable to an improvement in
one or more of the inputs used in production (Debertin, 2012). This improvement in
input, for example: the use of better fertilizer applications, increases yield. Technological
improvements also apply to a reduction in the per unit cost of an input of production. For
example, a new foliar spray which is just as effective as the old but costs less
consequently can increase production, as the grower has more money to spend on
other inputs to increase yield (Debertin, 2012). Technology can refer to physical
technological advancements such as the use of machine harvesting, but it can also
refer to any improvement in farming practice, such as finding the optimal distance to
plan blueberries bushes from one another.
Aside from prices and yields, this paper also analyzes the overall enrollment rate
of growers who partake in APH crop insurance in an attempt to evaluate whether the
premium rate set by the RMA is actuarially fair. The WFRP plan is too new for any data
on enrollment rate to be analyzed, but conclusions about the premium rate for WFRP
can be made since the premium of the WFRP is based on APH. The RMA provides
summary of business reports of data on the APH policy concerning insured acres, policy
count, premiums, and indemnities (USDA/RMA, 2018). These reports are used to
generate enrollment data on Florida as whole and Alachua, which are analyzed in the
results chapter of this thesis.
Crop Insurance Terminology
The results of the yields, prices, and enrollment rates are reflected by premium
and indemnity amounts. Premiums and indemnities are the some of the most important
quantifiable factors that growers look at when choosing to enroll in crop insurance.
56
Premium and indemnity equations for APH and WFRP are set by the RMA, which has a
unique jargon for crop insurance. The “List of Crop Insurance Terminology” on page 9
describes the terminology used by the RMA when calculating crop insurance premium
rates and indemnity payments. Crop insurance terminologies for APH and WFRP are
from the RMA’s Basic Policy Provisions (USDA/RMA, 2017b) and cost estimator
(USDA/RMA, 2017c). Below are the simplified equations used for calculating the
indemnities and premiums under APH and WFRP. Many additional factors could
influence these calculations, including if the grower qualifies for a “Beginning Farmer
Rancher Subsidy”, a “Native Sod Subsidy”, or a “Conservation Compliance Subsidy”, or
if this is the first year that the grower enrolls in insurance (USDA/RMA, 2017c). These
additional factors were all held constant in our calculations and simulations. The
assumption for an average Florida blueberry grower is that the grower does not qualify
for any of the aforementioned subsidies and that they are not enrolling in crop insurance
for the first time.
Premium and Indemnity Calculations
APH Premium Calculation: Equation 3-1
Approved Yield × Coverage Level = Guarantee Guarantee X Established Price × Insured Shared Percent = Liability Amount Liability Amount X Base Rate × Rate differential factor × Unit residual factor =Preliminary Premium Amount Preliminary Premium Amount × (1 − Subsidy Percent) = Premium Per Acre
(3-1)
APH Indemnity Calculation: Equation 3-2
Max((Guarantee) − Actual Yield, 0) × Established Price = Indemnit Per Acre (3-2)
WFRP Premium Calculation: Equation 3-3
57
Min(Historic Average Revenue, Expected Revenue) = Approved Revenue Approved Revenue × Coverage Level = Liability Amount Liability Amount × Diversity Factor X Weighted Commodity Rate =Preliminary Premium Amount Preliminary Premium Amount × (1 − Subsidy Percent) = Premium Per Acre
(3-3)
WFRP Indemnity Calculation: Equation 3-4
Max((Liabilty Amount − Actual Revenue), 0) = Indemnity Per Acre (3-4)
Alachua County Premium and Indemnity Calculation Example
Alachua County is the largest blueberry-producing county in the state of Florida.
Alachua represents over 27% of the blueberry acres in Florida, as of the most recent
county data in 2012 (USDA/NASS, 2012). Alachua is chosen as the county for which all
examples and simulations are run in this thesis. Figure 3-2 depicts the calculations
under the APH policy for Alachua county, irrigated non-organic Southern Highbush
blueberry with frost protection, with an approved yield of 4,558 pounds per acre, and a
100% price election of $2.50 per pound as established by the RMA. The actual yield is
1,500 pounds per acre, a percent acreage loss of roughly 67% (USDA/RMA, 2017c).
Figure 3-2 uses Equations 3-1 and 3-2 to compute the premium and indemnity for APH.
In Figure 3-2, if the farmer chose the 65% coverage level, the farmer would have to pay
the premium of $170.06 per acre (column 14) to purchase the Actual Production History
insurance plan, and would receive an indemnity of $3,656.80 per acre (column 16).
Figure 3-3 depicts an example of the calculations under the WFRP policy for a
similar loss in Figure 3-2. In Figure 3-3, the grower choses to enroll in the WFRP plan
for blueberries in Alachua county in 2017. The grower’s annual average revenue over
the last 5 years is $11,395 per acre. The grower produces only blueberries, which
account for 100% of the farm revenue. Suppose the actual revenue is $3,760, a percent
revenue loss of roughly 67%. Figure 3-3 depicts the calculations of this example, using
58
Equation 3-3 and Equation 3-4 to compute the premium and indemnity for WFRP
(USDA/RMA, 2017c).
In Figure 3-3, if the farmer chose the 65% coverage level, the farmer would have
to pay the premium of $338.30 per acre (column 14) for the cost of the Whole Farm
Revenue Protection insurance plan. The farmer would receive an indemnity of
$3,646.40 per acre (column 18).
The APH and WFRP scenarios were made to be as similar as possible to
analyze which crop insurance policy is more advantageous. In the real world setting,
both crop insurance policies charge a premium as a lump sum and payout an indemnity
as a lump sum. For comparative purposes, in both the APH and WFRP examples, the
farmer pays a premium and receives an indemnity on a per acre basis. Figure 3-4
depicts the side-by-side premiums and indemnities per acre of the APH and WFRP
blueberry scenarios (USDA/RMA, 2017c). The “Actual Production History” and the
Whole-Farm Revenue Protection – One Commodity” column summarize the premium
and indemnity amounts from Figure 3-2, and Figure 3-3, respectively.
In Figure 3-4, the indemnity difference between APH and WFRP is marginal, due
to rounding the loss percentage of roughly 67% under both policies. With a
comparatively lower premium and effectively equal indemnities, APH provides the same
coverage levels as the WFRP policy at a lower cost. The reason that the premium is
lower for APH is that the premium rates for APH are lower compared to the WFRP plan.
However, the APH premium rate cannot be decreased with diversification. The WFRP
plan premium rate could be lower if the grower diversified and added a qualifying
secondary or tertiary crop. This thesis does not consider analyzing and performing
59
simulations on the scenario between a diversified WFRP plan and APH. As previously
mentioned, there is not enough data available on diversified WFRP plans that include
blueberries in Florida, and the possible combinations of crops add complexity beyond
the scope of this thesis. A brief example is provided below only to show the influence of
diversification on the WFRP premium rate compared to APH. After this example, only
single crop blueberry farms are compared between APH and WFRP, and the WFRP is
assumed to insure only blueberries.
Adding another crop that meets the diversification requirements could reduce the
premium significantly. For example, the addition of blackberries as another crop, with
revenue from each crop split as 50% of revenue, has an impact on the premium. The
addition of this crop reduces the 65% coverage level from $338.30 to $156.97, a
reduction of price by 53.60%, as shown in the columns for WFRP- two commodities.
The addition of another crop reduces the premium significantly, such that APH is no
longer the most profitable choice. According to Figure 3-4, the two-commodity WFRP
plan provides an equal indemnity amount compared to APH while costing less than
APH. This thesis focuses only on the comparison between a farm producing blueberries
under the WFRP plan and a farm producing blueberries under the APH policy. The APH
policy will be compared to the single crop WFRP policy.
Simulations
The probability that an indemnity will occur under the APH policy is directly linked
to the variation in yield. The higher the variability – or standard deviation – of yields, the
higher the chance that an indemnity will occur. From the yield data collected from the
ERS, the standard deviation can be calculated. The RMA uses the past twenty years of
yield data in Florida to compute the premium rate (RMA Personal Communication,
60
2018). Thus, the standard deviation of yields over the last 20 years is used for the
simulations. The mean of the yield distribution is based on the 2017 trend yield over the
same time span. Thus, mean yield is established at 4,949.49 pounds per acre with a
standard deviation of 1,017.25 pounds per acre. This thesis uses the normal distribution
for yields, since it is regarded as the base study in the literature.
The probability that an indemnity will occur under the WFRP is similarly linked to
the variability in revenue. Revenue is a function of price multiplied by the yield, on a per
acre basis. There is an inverse relationship between price and yields. The coefficient of
correlation specifies the strength and direction of a linear relationship between two
variables. Using the Excel Add-On “Simetar”, the coefficient of correlation between the
prices and yields was estimated to be -0.60. This indicates that there is a moderate
inverse relationship between yields and prices. Any unit increase in yields will result in a
0.6 unit decrease in price. This natural hedge between prices and yields lowers the
variability of revenue. When yields decrease, prices increase and vice versa such that
their product remains relatively unchanged. The Iman and Conover methodology was
used to impose the target level of correlation between prices and yields (Iman and
Conocer, 1982). The methodology’s only manipulation to the original draws is to resort
them.
To find the probability that revenue falls sufficiently to trigger an indemnity, price
and yield data need to be assembled. As previously mentioned, yields have a mean of
4,949.89 pounds per acre and a standard deviation of 1,017.25 pounds per acre. When
establishing the mean and volatility of prices, we used the same number of years as the
RMA, from 2008 to 2016 (RMA Personal Communication, 2018). The average price is
61
the average of the 2017-adjusted prices from 2008-2016, which is equal to $4.54 per
pound. However, this does not account for the harvesting, packaging, and brokerage
costs needed in order to sell blueberries in the market. The RMA uses an equation to
account for these costs, which includes subtracting 10% of the price value and then
subtracting an additional $0.90 per pound (RMA Personal Communication, 2018). Once
this equation is applied, the new 2017 mean price is equal to $3.19 per pound. The
standard deviation is taken from the 2017-adjusted prices since 2008, and is $0.86 per
pound. Regarding prices, the assumption is that they are drawn from a lognormal
distribution. Using lognormal ensures that prices does not fall below zero. Since the
data on farm-level prices is limited, we computed the coefficient of variation to compare
volatility at the farm level to that at the retail level, but found they were similar. The
coefficient of variation is equal to the standard deviation divided by the mean, and is
unit-free. Given that the mean value is $3.19 per pound and standard deviation is $0.86
per pound, the coefficient of variation is equal to 0.269 = ($3.19 per pound/$0.86 per
pound).
Using the statistical software of “R”, simulations can be made with the following
yield and parameters. The exact code used in R can be found in the Appendix. A
simulation was run in R with a normal yield with a mean of 4,949.89 pounds per acre
and a standard deviation of 1,017.25 pounds per acre. The price mean was $3.19 per
pound with a coefficient of variation of 0.269. The coefficient of variation was -0.60. This
simulation produced an output of two columns – one for price and one for yield – of
5,000 iterations/data points. The generated price and yield data was multiplied to
construct revenue.
62
The simulation was repeated two additional times with coefficient of correlations
between price and yield of -0.50 and -0.30.
This provides a sensitivity analysis on the coefficient of correlation, a key
parameter. One of the reasons for which the coefficient of correlation could change in
future years is because of the increased competition for production during the Florida
market window. Mexico is increasing blueberry production consistently each year, and
this country’s production season competes directly with Florida. It is conceivable that
the greater the blueberry imports from Mexico, the weaker the relationship between
prices and yields will be in the market. The increased competition in the market will not
only conceivably change the correlation, but could also affect the mean price and price
distribution as well. However, it would be difficult to isolate the effect on price mean and
distribution from competition from Mexico alone. In addition, Mexico has only recently
(since 2013) produced quantities of blueberries that could potentially influence the mean
price received by Florida growers, and sufficient data would be hard to find
(USDA/AMS, 2017). Thus, this thesis only considers a change in the coefficient of
correlation on price and yields when analyzing future competition.
Three further simulations were run with a mean yield value of 4,118 pounds per
acre, the same as the Approved Yield under RMA for the last 10 years. These three
simulations also considered coefficient of correlations of -0.60, -0.50, and -0.30, for a
total of six different scenarios. The parameters of these scenarios are summarized in
Table 3-1. Table 3-1 indicates shows that under scenarios 1, 2, and 3, the yield mean is
4,949.89 pounds per acre and the coefficient of correlation values are -0.60, -0.50, and -
63
0.30, respectively. Under scenarios 4, 5, and 6, the yield mean is 4,118 pounds per acre
and the coefficient of correlation values are -0.60, -0.50, and -0.30, respectively.
This thesis assumes that growers are risk-averse. Risk-averse individuals refuse
fair bets and exhibit diminishing marginal utility of wealth, meaning that each additional
unit increase in wealth provides a smaller increase in utility (Nicholson and Snyder,
2011). Risk-averse growers are willing to spend some money (i.e.: premium) to avoid a
risky outcome. By purchasing crop insurance, a grower mitigates risk by reducing the
variability of revenue or yield (depending on the policy). The logarithmic function is an
accepted utility function used in the literature to model the expected utility of a risk-
averse grower (Sheng, C. L., 1998; Sheng, Q. 1998). The logarithmic function exhibits
constant relative risk aversion, meaning that the individual’s willingness to take gambles
does not change with the level of wealth. In the context of crop insurance, a grower
characterized by a constant relative risk aversion utility function will be concerned about
proportional gains or losses to their wealth. The logarithmic expected utility function is
applied to each scenario in this thesis, and the total expected utility under APH and
WFRP are compared.
The next chapter examines whether the distribution results are consistent with
the simulation parameters set in this chapter. Scenarios 1 through 6 are examined in
detail, comparing the APH policy to the WFRP policy. In addition, the expected utility of
a risk-averse grower enrolling in crop insurance is compared to that of a grower who
does not enroll in crop insurance. The analysis will ultimately lead to the conclusion of
whether it is beneficial for the average grower to enroll in crop insurance under each
scenario, and if so, which policy to choose.
64
Figure 3-1. Actual yield, adjusted yields, and the technology trend line of Florida
blueberries from 1997-2016. Actual yields were adjusted by removing the technology factor. Source: United States Department of Agriculture, Economic Research Service (USDA/ERS, 2017b).
0
1000
2000
3000
4000
5000
6000
7000
8000
1995 2000 2005 2010 2015 2020
Yiel
d (lb
s/ac
re)
Year
Actual Yield Detrended Yields Trend
65
[1] [2]
[3]
=[1]*[2]
[4]
[5]
=[3]*[4]
[6] [7]
= ([1]-[6])/[1]
[8]
Approved Yield
(lbs/Acre)
Coverage Level (%)
Guarantee – Loss Trigger (lbs/Acres)
Established Price per
pound ($/lbs)
Premium liability amount ($/acre)
Actual Yield
(lbs/Acres)
Percent acreage loss (%)
Base Rate (%)
4,558.00
75.00 3,419.00
2.50
8,546.00
1,500.00 67.09 5.60
70.00 3,191.00 7,977.00 65.00 2,963.00 7,407.00 60.00 2,735.00 6,837.00 55.00 2,507.00 6,267.00 50.00 2,279.00 5,698.00
CAT 2,279.00 1.38 3,145.00
[9] [10] [11]
=[8]*[9]*[10]
[12]
=[5]*[11]
[13]
[14] =
[12]*(1-[13])
[15]
=[3]-[6]
[16] =[4]*[15]
Rate differential factor (%)
Unit Residual Factor
(%)
Base Premium Rate (%)
Total Premium amount ($/acre)
Subsidy Rate (%)
Total Premium ($/acre)
Covered Acres
(lbs/Ares)
Indemnity ($/acre)
145.10 111.00 9.02 770.82 55.00 346.87 1,918.50 4,796.30
120.60 105.50 7.13 568.33 59.00 233.02 1,690.60 4,226.50
100.00
100.0
5.60 414.78 59.00 170.06 1,462.70 3,656.80
83.40 4.67 319.32 64.00 114.95 1,234.80 3,087.00
70.70 3.96 248.13 64.00 89.33 1,006.90 2,517.30
61.90 3.47 197.50 67.00 65.17 779.00 1,947.50
- - - 100.00 0.00 779.00 1,075.02
Figure 3-2. Example of APH crop insurance policy payment for non-organic Southern Highbush blueberries with frost protection, an approved yield of 4,558 lbs/acre in Alachua County and a percentage loss of 67.09%. Source: United States Department of Agriculture, Risk Management Agency (USDA/RMA) 2016 Cost Estimator (USDA/RMA, 2017c). A) Columns 1-8 of APH crop insurance example. B) Columns 9-16 of APH crop insurance example.
A
B
66
1 [2] =
(100,000/[1]) /3
3 4
=IF[3]>[2] then YES
5 6 7
=[5]*[6] 8 9
Total Commodity
Count
Minimum Qualifying
Amount per acre ($)
Expected Revenue
from Commodity per acre ($)
Eligibility? Coverage
Level Percent (%)
Total Allowable Revenue
Amount per acre ($)
Premium Liability
Amount per acre ($)
Blueberry Commodity
Rate (%)
Diversity Factor
1.00 3,798.33 11,395.00 YES
75.00
11,395.00
8,546.25 16.04
1
70.00 7,976.50 13.34 65.00 7,406.75 11.14 60.00 6,837 9.96 55.00 6,267.25 9.11 50.00 5,697.50 8.60
Figure 3-3. Example of Whole-Farm Revenue Protection policy payment for single-commodity blueberries in Alachua county. The farmer in this example has a five-year average revenue of $11,395 per acre, 100% of the revenue comes from blueberries. Source: United States Department of Agriculture, Risk Management Agency. 2017. (USDA/RMA, 2017c). A) Columns 1-9 of WFRP crop insurance example. B) columns 10-18 of WFRP crop insurance example.
10
=[8]*[9]
11
=[7]*[10] 12
13 =[11]*[12]
14 =[11]-[13]
15 16
=[6]*[15]
17 =[6]-[16]
18 =[7]-[17]
Premium Rate (%)
Preliminary Total
Premium Amount per
acre ($)
Subsidy Rate (%)
Subsidy Amount per
acre ($)
Total Premium
($)
Loss Percentage
(%)
Loss Amount per acre ($)
Remaining Revenue
per acre ($)
Indemnity per
acre($)
16.04 1370.82 55.00 753.95 616.87
67.10 7,645.00 3,750.00
4,796.25
13.34 1,064.07 59.00 627.80 436.27 4,226.60
11.14 825.11 59.00 486.82 338.30 3,656.75
9.96 680.97 64.00 435.82 245.15 3,087.00
9.11 570.95 64.00 365.41 205.54 2,517.25
8.60 489.99 67.00 328.29 161.70 1,947.50
A
B
67
Blueberries Actual Production
History
Whole Farm Revenue Protection – One
Commodity
Whole Farm Revenue Protection – Two Commodities
Coverage Level Percent
(%)
Total Premium per acre
($)
Indemnity per acre
($)
Total Premium per acre
($)
Indemnity per acre ($)
Total Premium
per acre ($)
Indemnity per acre
($)
75.00 346.87 4,796.30 616.87 4,796.25 230.74 4,796.25
70.00 233.02 4,226.50 436.27 4,226.60 191.42 4,226.60
65.00 170.06 3,656.80 338.30 3,656.75 156.97 3,656.75
60.00 114.95 3,087.00 245.15 3,087.00 132.61 3,087.00
55.00 89.33 2,517.30 205.54 2,517.25 112.81 2,517.25
50.00 65.17 1,947.50 161.70 1,947.50 95.71 1,947.50
Figure 3-4. Side-by side comparison of the Actual Production History and the Whole Farm Revenue Protection policy. The coverage levels are between 50-75% and the premiums and indemnities of the overall policies are shown to compare the two policies economically given a 67.10% loss in both yield and revenue. Source: United States Department of Agriculture, Risk Management Agency. 2017. (USDA/RMA, 2017c)
68
Table 3-1. Summary of the parameters of the six different scenarios analyzed.
Conditions Scenarios
Parameters Scenario 1 Scenario 2 Scenario 3
Yield Mean (lbs/acre) 4,949.89 4,949.89 4,949.89
Coefficient of Correlation -0.60 -0.50 -0.30
Parameters Scenario 4 Scenario 5 Scenario 6
Yield Mean (lbs/acre) 4,118.00 4,118.00 4,118.00
Coefficient of Correlation -0.60 -0.50 -0.30
Constant variables: Price mean ($3.19/lb) and coefficient of variation (0.269) Yield standard deviation (1,017.25lbs/acre)
69
CHAPTER 4 RESULTS AND DISCUSSION
This chapter discusses the distribution results briefly, confirming that they follow
the proper distributions. This chapter emphasizes the simulation results, which
determine the probability than an indemnity will occur. A discussion of indemnity and
premium calculations justify the scenarios run. By the conclusion of this chapter, the six
scenarios unanimously support an enrollment decision.
Distribution Results
The plots of the distributions under scenario 1 of prices, yields, and revenue are
shown in the histogram Figures 4-1, 4-2, and 4-3, respectively. In Figure 4-1, prices
have a lognormal distribution with a mean of $3.19 per pound, a minimum of $0.90 per
pound, and a maximum of $7.66 per pound. The blue bars of the histogram all have an
equal width, referred to as a bin. Each bin of the price histogram represents a $0.20 per
pound range. In Figure 4-2, yields have a normal distribution with a mean of 4,949.89
pounds per acre, a minimum of 1,179.94 pounds per acre, and a maximum of 8,738.19
pounds per acre. Each bin of the yield histogram represents a width of 200 pounds per
acre. Revenue is a function of yields multiplied by prices, and mimics a normal
distribution. In Figure 4-3, revenue has a mean of $15,285.93 per acre, a minimum of
$5,451.04 per acre, and a maximum of $34,853.80 per acre. Each bin of the revenue
histogram represents a width of $1,000 per acre. The distribution results for other
scenarios have the same distribution types (lognormal for prices, normal for yield and
revenue), yet vary based on mean, minimum, and maximum.
70
Simulation Results
While Figure 4-1, 4-2 and 4-3 provide a snapshot of the distribution results,
Figure 4-4 plots the simulation results of the yield on the X axis and revenue on the Y
axis under scenario 1. This figure provides visual insight as to which policy is more
advantageous. Recall the indemnity equations used for APH and WFRP. Equation 3-1
and 3-3 are the equations for APH and WFRP, respectively. For the APH indemnity
calculation, the Guarantee is the Approved Yield multiplied by the Coverage Level. The
Approved Yield is the average of the last 10 years of yields in Florida, which is 4,118
pounds per acre. The Coverage Level in this example is 65%, as 65% is the base level
set by the RMA. Under these conditions, the guarantee is equal to 2,677 (=4,118*65%)
pounds per acre. Any yields which fall below this value will trigger an indemnity
payment. The vertical red line denotes this guarantee value of 2,677 pounds per acre.
Any data points to the left of this line will trigger an indemnity payment, while any data
points to the right of this line will not.
For the WFRP indemnity calculation, the Liability Amount is equal to the
Approved Revenue multiplied by the Coverage Level. The Approved Revenue is the
minimum of the Expected Revenue for 2017 and the Historic Average Revenue over the
last 5 years. The Expected Revenue is the average of the product between prices and
yields for the 5000 iterations, which is equal to $15,285.93 per acre. The Historic
Average Revenue is equal to $9,958 per acre. Between the Historic Average Revenue
and the Expected Revenue, the Historic Average Revenue is the lower value between
the two. Thus, the Approved Revenue is equal to $9,958 per acre. The Coverage Level
for this example is 65%, so the Liability Amount is equal to $6,472 (=$9,958*65%) per
acre. The horizontal red line denotes this Liability Amount of $6,472 per acre. Any
71
values below this line will trigger an indemnity payment, while any values above this line
will not.
Visually, one can see that there are far more data points that lie to the left of the
vertical line than the number of data points that lie below the horizontal line in Figure 4-
4. This indicates that there is a higher probability of an indemnity trigger under the APH
policy, compared to the WFRP policy for the 65% coverage level. Table 4-1 summarizes
the data shown in Figure 4-4. Table 4-1 shows the number of times an indemnity was
triggered under the APH policy and the WFRP policy out of the 5,000 iterations, the
corresponding percentage chance of a data point triggering an indemnity (the likelihood
of an indemnity), the expected indemnity received for each of the 5,000 iterations, the
grower premium paid on a per acre basis, and the expected indemnity divided by the
guarantee for APH or the liability amount for WFRP. The RMA sets the premium rate
making use of the loss experience data available and computing the loss cost ratio (i.e.:
indemnities/liabilities). Thus, I computed the expected indemnity divided by the
guarantee as a proxy for it. This value is what the premium rate should be set at.
In Table 4-1, for each coverage level, APH has the higher probability of an
indemnity occurring out of the 5,000 iterations (Column 4) when compared to the WFRP
policy. The APH policy also has a higher expected indemnity, a higher expected
indemnity divided by guarantee percentage, and a lower premium cost compared to the
WFRP for every coverage level. Thus, under scenario 1, the APH coverage level is the
unanimous choice for the grower as the most advantageous policy when comparing
between APH and the WFRP.
72
However, the expected indemnity for every coverage level under APH is always
less than the premium the grower has to pay on a per acre basis. The APH policy, and
by extension, the WFRP policy, is costing growers more per acre then what they are
expected to receive in indemnity payments. In this case, it is not clear whether a risk-
averse grower would then chose to either enroll in APH or to refrain from enrolling in
crop insurance. A risk-averse grower is willing to give up some wealth (premium) to
secure a certain outcome. By paying the premium, a risk-averse grower could increase
their expected utility, since the grower values the reduction in risk. The expected utility
determines whether the grower will enroll in crop insurance or not. As mentioned in the
methods, the logarithmic function is used in this thesis as an acceptable expected utility
function for risk-averse individuals (Nicholson and Snyder, 2011).
Assuming that risk-averse growers have a utility function that is logarithmic, the
equation for the expected utility under the APH crop insurance policy is shown in
Equation 4-1:
𝐸𝑥𝑝𝑒𝑐𝑡𝑒𝑑 𝑈𝑡𝑖𝑙𝑖𝑡𝑦 𝑈𝑛𝑑𝑒𝑟 𝐴𝑃𝐻 = ∑ ln (𝑅𝑒𝑣𝑒𝑛𝑢𝑒𝑖 + 𝐼𝑛𝑑𝑒𝑚𝑛𝑖𝑡𝑦𝑖 − 𝑃𝑟𝑒𝑚𝑖𝑢𝑚𝑖
5000𝑖
) (4-1)
In Equation 4-1, the expected utility when enrolling in APH is equal to the
summation of the natural log of the revenue plus the indemnity minus the premium for
each iteration (i), times the probability of that iteration occurring, which is 1 in 5,000 total
iterations. Since the WFRP has a higher premium and lower expected indemnity than
APH, we can conclude that the expected utility of the WFRP is less than that of APH.
Thus, it is only necessary to compare the expected utility under APH with the expected
utility when not enrolling in crop insurance. The equation for the expected utility of a
risk-averse grower when not enrolling in crop insurance is shown in Equation 4-2:
73
𝐸𝑥𝑝𝑒𝑐𝑡𝑒𝑑 𝑈𝑡𝑖𝑙𝑖𝑡𝑦 𝑊𝑖𝑡ℎ𝑜𝑢𝑡 𝐸𝑛𝑟𝑜𝑙𝑙𝑚𝑒𝑛𝑡 = ∑ ln (𝑅𝑒𝑣𝑒𝑛𝑢𝑒𝑖
5000)
𝑖
(4-2)
In Equation 4-2, the expected utility is the summation of the natural log of the
revenue for each iteration (i), times the probability of that iteration occurring. As
depicted in Table 4-1, under scenario 1, the APH policy is the more advantageous
choice compared to the WFRP policy. However, the expected utility under APH (and
WFRP) is lower than the expected utility from not enrolling in crop insurance. The
expected utilities are summarized at the end of this chapter in a table, once all
scenarios have been analyzed. Thus, the most advantageous choice under scenario 1
is for the grower to refrain from enrolling in crop insurance.
Figures 4-5 and 4-6 show revenue plotted vertically and the yield plotted
horizontally, similar to Figure 4-4. Figures 4-5 and 4-6 show the exact same parameters
(price has a mean of $3.19 with a coefficient of variation of 0.269, and yield has a mean
of 4,949.89 lbs/acre with a standard deviation of 1,017.25 lbs/acre) as Figure 4-4,
except that the coefficient of correlation between price and yield is changed. Figures 4-5
and 4-6 correspond to the scenarios 2 and 3, under which the coefficient of correlations
are -0.50 and -0.30, respectively. The values of -0.50 and -0.30 are chosen to provide a
sensitivity analysis, in the event that Mexico continues to increase production in future
years.
In Figure 4-5, the red lines mark the 65% coverage level for APH vertically and
WFRP horizontally. The notable difference between Figure 4-4 and Figure 4-5 is that
there are more data points that fall below the 65% coverage level for the WFRP policy.
This is due to the fact that the coefficient of correlation is higher, at a value of -0.50. The
prices do not respond as drastically to a drop in yield, as shown in Figure 4-4. In Figure
74
4-5, prices will not increase as much due to a proportional decrease in yield when
compared to Figure 4-4. Due to this, revenue values are lower. Yield values remain the
same, as the only thing that is changed is the responsiveness of price to a change in
yield.
In Figure 4-6, the coefficient of correlation is -0.30, a higher coefficient value than
in Figures 4-4 or 4-5, the value of the coefficient is closer to 0, meaning that the
negative association between price and yield is weaker. The notable difference when
comparing Figure 4-6 to Figures 4-4 or 4-5 is that there are more data points that fall
below the 65% coverage level for the WFRP policy. The reasoning why there are more
data points that fall below this line is the same for Figure 4-6 as it was for Figure 4-5;
the coefficient of correlation is higher, the inverse relationship between price and yield is
weaker.
Table 4-2 shows the data in Figure 4-5 under scenario 2. There are no changes
for any of the variables under the APH policy, since yield values do not change when
altering the coefficient of correlation between price and yield. Price data does change,
which affects revenue amounts and in return affects the variables of the WFRP policy.
The WFRP policy’s indemnity triggers, percent trigger occurrence, expected indemnity,
and the expected indemnity divided by the liability amount all increase relative to the
original simulation presented in Table 4-1. While the previously mentioned variables of
the WFRP policy all increased, these variables were all lower than the variables under
the APH policy (indemnity triggers, percent trigger occurrence, expected indemnity, and
expected indemnity divided by the liability amount under WFRP were all lower than the
75
APH values for each coverage level). Thus, Table 4-2 makes the same conclusions as
Table 4-1: growers are expected to lose money if they enroll in crop insurance.
Table 4-3 shows the data in Figure 4-6 under scenario 3. The only difference for
these results is that the coefficient of variation in scenario 3 is -0.30. All the variables
under the WFRP policy rise except for the grower premium per acre relative to scenario
2, while the APH values do not change. Even though the variables rise, the WFRP
policy variables are all still lower than the APH values. Thus, Table 4-3 leads to the
same conclusion that it is in the best interest of a risk-averse grower to refrain from
enrolling in crop insurance.
RMA Indemnity Calculation Issues
So far, we used the 2017 trend yield of 4,949.89 pounds per acre as the basis for
the mean of the yield distribution. However, the last time RMA computed the APH rate
for blueberries in Florida was in 2015. Thus, a potential reason for finding the expected
indemnity from APH and WFRP to be lower than the premium amount per acre is that
the Approved Yield under APH is lower than the expected yield. To account for this
possibility, the Approved Yield is calculated instead by taking the average of the last 10
years of production, which is equal to 4,118 pounds per acre. This value is lower than
the expected amount by roughly 800 pounds per acre. The Approved Yield is multiplied
by the Coverage Level to get the Guarantee amount – which is the vertical red line in
the scatterplot figures. The Guarantee is equal to 2,677 pounds per acre considering an
Approved Yield of 4,118 pounds per acre and the 65% Coverage Level. If the Expected
Yield of 4,949.89 pounds per acre was covered as the Approved Yield, the Guarantee
would rise to 3,217 pounds per acre under the 65% Coverage Level. Looking at any
scatterplot of revenue and yield, moving the red vertical line to the right from 2,677
76
pounds per acre to 3,217 pounds per acre would clearly increase the probability that an
indemnity would trigger. Instead of creating a scenario in which the RMA considers
changing the way Approved Yield is calculated, the mean value in our simulation can be
changed.
Changing the expected yield from 4,949.89 pounds per acre to 4,118 pounds per
acre will provide a scenario that considers the expected yield equal to the Approved
Yield. Ideally, this is what the RMA is trying to accomplish by taking the average of the
last 10 years of production. The yield standard deviation will remain the same at
1,017.25 pounds per acre, since that is the RMA calculated 20-year variation. The same
logic applies to the WFRP policy. One reason why so few indemnity triggers occur is
that the Approved Revenue is too low compared to the Expected Revenue, and
consequently the Liability Amount (the red horizontal line in scatterplots) is lower.
Changing the yield from 4,949.89 to 4,118 pounds per acre will decrease the expected
revenue, and make the Expected Revenue amount closer to the Approved Revenue
average over the last 5 years.
Figure 4-7 depicts the scatterplot of revenue vertically and yield horizontally.
Figure 4-7 depicts the results of simulating 5,000 iterations of yield and price, with a
yield mean of 4,118 pounds per acre, yield standard deviation is 1,017.25 pounds per
acre, price mean is $3.19 per pound, the coefficient of variation of price is 0.269, and
the coefficient of correlation between prices and yields is -0.60. In Figure 4-7, there are
noticeably more data points that fall to the left of the red 65% coverage level APH
vertical line and below the red 65% coverage level WFRP horizontal line compared to
Figure 4-4. Lowering the mean value of yield increased the number of indemnity triggers
77
under both the APH and the WFRP policy. The results of Figure 4-7 are depicted in
Table 4-4. In Table 4-4, the output variables of the number of times indemnity is
triggered, the percentage occurrence of a trigger, the expected indemnity, and the
expected indemnity/liability amount all increased compared to Table 4-1, the scenario
under which the yield mean was 4,949.89 pounds per acre. These output variables for
the WFRP policy remain lower than those of APH. APH and the WFRP plan both have
expected indemnities lower than the premium amounts per acre. The decision choice
for a risk-averse farmer would be to once again refrain from enrolling in crop insurance,
since the expected utility is higher when the grower does not enroll compared to
enrolling in APH or WFRP.
Figure 4-8 depicts the same scenario as Figure 4-7, yet the coefficient of
correlation between prices and yields is lowered to -0.50. Lowering the coefficient of
correlation has no effect on the number of data points triggered under the APH policy,
since the APH policy is only triggered by losses of yields. The amount of data points
under the red horizontal 65% coverage level line for WFRP increased when compared
to Figure 4-5, the scenario with the same parameters except that the yield mean is
4,949.89 pounds per acre. The results of Figure 4-8 are depicted in Table 4-5 under
scenario 5. In Table 4-5, the WFRP indicators increased, but remained less than those
of the APH policy. Thus, the choice would be to once again to refrain from enrolling in
crop insurance.
Figure 4-9 depicts the same scenario as Figure 4-8, except that the coefficient of
correlation is -0.30. Table 4-6 summarizes the results of Figure 4-9 under scenario 6.
The indicators of the WFRP increased, yet remained less than those of the APH policy.
78
Table 4-7 summarizes the expected utility for a risk-averse grower under each
scenario and coverage level. In each scenario, the expected utility of enrolling in crop
insurance is less than the expected utility from not enrolling in crop insurance. Thus, the
optimal decision for a risk-averse grower would be not to enroll in crop insurance.
RMA Premium Calculation Issues
Even after accounting for the difference between the expected and approved
yield, the expected indemnity amount remains lower than the premium amount per acre
under the APH and the WFRP policy. The other possible reason why this occurs is that
the premium rate is set too high by the RMA. The stated goal of the RMA is to give out
just a much in indemnity payments to growers as they receive in premium amounts in
the long run. The RMA calculates the premium rates on a per-county basis by looking at
the past 10 years of data on indemnity amounts, then sets the premium rate accordingly
such that the preliminary premium amount (premium amount before subsidies are
considered) is equal to the indemnity amount. Premium rates for Florida blueberries
under the APH policy are updated every three years.
The RMA has not accomplished the stated goal of setting the premium rate such
that the RMA receives in premium what it gives out in indemnity. The RMA set the
premiums for both policies too high, so the premium amount is always higher than the
expected indemnity. The reason for the misrating is due to a lack of data on blueberry
production loss experience. APH rates are also the basis for WFRP rates, so the APH
misrating is carried over to WFRP. Moreover, for the WFRP policy, there is even less
data available. The WFRP policy was only established in 2014. In 2017, there were only
7 total farms across the state of Florida that enrolled in WFRP (USDA/RMA, 2018).
79
Table 4-8 summarizes the participation of blueberry growers in the APH policy
across Florida since it was first available in 2000. The percentage of acres covered
depicts how many acres of blueberries are coverred under the APH policy compared to
the entirety of commerical blueberry acres across Florida. The enrollment rate has
never risen above 57% and has only once been above 50%. In addition, the policy
count total – the number of farms enrolled in crop insurance – is extremely low. From
2000-2005, the maximum policy count was 6 farms. The highest number of farms to
enroll in crop insurance was in 2017, in which 92 farms enrolled.
The RMA calculates premium rates on a per-county basis, not at the state-level.
The most representative blueberry-producing county in Florida is Alachua. Table 4-9
depcits the participation of growers under the APH policy in Alachua county. A total of
19 farms enrolled in the APH policy in 2017, with a total of 1,086 covered acres. The
majority of the acres in 2017 (84%) are insured under Catastrphic Risk Protection
(CAT). Since 2000, Alachua county policy counts and insured acres have steadily risen
as Florida’s blueberry industry expanded. There is very little data on blueberry
production losses, making it difficult for the RMA to set an actuarily fair premium rate.
The results of this chapter are summarized in the final chapter. The limitations of
this thesis are outlined, and future areas of research are expanded upon. The
concluding chapter makes recommendations to growers and policymakers, taking into
consideration the two main findings of this chapter: firstly, it is in the best interest of a
risk-averse grower to refrain from enrolling in crop insurance, secondly, a lack of data
results in a premium misrating by the RMA.
80
Figure 4-1. Price Histogram of Florida blueberries out of 5,000 iterations.
Figure 4-2. Yield Histogram of Florida blueberries out of 5,000 iterations.
81
Figure 4-3. Revenue Histogram of Florida blueberries out of 5,000 iterations.
Figure 4-4. Florida Blueberry yield to revenue scatterplot results of estimated yield and
price under scenario 1.
82
Figure 4-5. Florida Blueberry yield to revenue scatterplot results of estimated yield and
price under scenario 2.
Figure 4-6. Florida Blueberry yield to revenue scatterplot results of estimated yield and
price under scenario 3.
83
Figure 4-7. Florida Blueberry yield to revenue scatterplot results of estimated yield and price under scenario 4.
Figure 4-8. Florida Blueberry yield to revenue scatterplot results of estimated yield and
price under scenario 5.
84
Figure 4-9. Florida Blueberry yield to revenue scatterplot results of estimated yield and
price under scenario 6.
85
Table 4-1. Comparison of the APH and WFRP policy under Scenario 1.
Policy Coverage Level
# of times Indemnity is Triggered
Percent Occurrence of
Trigger
Expected Indemnity per
acre
Grower Premium per
acre
Expected Indemnity/ Liability
Amount
APH
50% 10 0.20% $1.71 $58.88 0.03% 55% 21 0.42% $3.29 $80.70 0.05% 60% 33 0.66% $5.93 $103.86 0.08% 65% 67 1.34% $10.80 $153.64 0.13% 70% 115 2.30% $20.18 $210.52 0.23% 75% 178 3.56% $35.04 $313.39 0.38%
WFRP
50% 0 0.00% $0.00 $141.30 0.00% 55% 1 0.02% $0.01 $179.62 0.00% 60% 1 0.02% $0.10 $214.23 0.00% 65% 4 0.08% $0.37 $295.63 0.01% 70% 6 0.12% $0.88 $381.25 0.01% 75% 11 0.22% $1.56 $539.08 0.02%
86
Table 4-2. Comparison of the APH and WFRP policy under Scenario 2.
Policy Coverage Level
# of times Indemnity is Triggered
Percent Occurrence of
Trigger
Expected Indemnity per
acre
Grower Premium per
acre
Expected Indemnity/ Liability
Amount
APH
50% 10 0.20% $1.71 $58.88 0.03% 55% 21 0.42% $3.29 $80.70 0.05% 60% 33 0.66% $5.93 $103.86 0.08% 65% 67 1.34% $10.80 $153.64 0.13% 70% 115 2.30% $20.18 $210.52 0.23% 75% 178 3.56% $35.04 $313.39 0.38%
WFRP
50% 1 0.02% $0.11 $141.30 0.00% 55% 1 0.02% $0.21 $179.62 0.00% 60% 3 0.06% $0.38 $214.23 0.01% 65% 6 0.12% $0.87 $295.63 0.01% 70% 12 0.24% $1.71 $381.25 0.03% 75% 23 0.46% $3.40 $539.08 0.05%
87
Table 4-3. Comparison of the APH and WFRP policy under Scenario 3.
Policy Coverage Level
# of times Indemnity is Triggered
Percent Occurrence of
Trigger
Expected Indemnity per
acre
Grower Premium per
acre
Expected Indemnity/ Liability
Amount
APH
50% 10 0.20% $1.71 $58.88 0.03% 55% 21 0.42% $3.29 $80.70 0.05% 60% 33 0.66% $5.93 $103.86 0.08% 65% 67 1.34% $10.80 $153.64 0.13% 70% 115 2.30% $20.18 $210.52 0.23% 75% 178 3.56% $35.04 $313.39 0.38%
WFRP
50% 3 0.06% $0.43 $141.30 0.01% 55% 3 0.06% $0.73 $179.62 0.01% 60% 10 0.20% $1.33 $214.23 0.02% 65% 22 0.44% $2.82 $295.63 0.04% 70% 36 0.72% $5.65 $381.25 0.08% 75% 69 1.38% $10.94 $539.08 0.15%
88
Table 4-4. Comparison of the APH and WFRP policy under Scenario 4.
Policy Coverage Level
# of times Indemnity is Triggered
Percent Occurrence of
Trigger
Expected Indemnity per
acre
Grower Premium per
acre
Expected Indemnity/ Liability
Amount
APH
50% 119 2.23% $20.67 $58.88 0.40% 55% 178 3.56% $35.78 $80.70 0.63% 60% 275 5.50% $59.19 $103.86 0.96% 65% 408 8.16% $93.48 $153.64 1.40% 70% 547 10.94% $142.08 $210.52 1.97% 75% 746 14.92% $208.06 $313.39 2.69%
WFRP
50% 8 0.16% $2.56 $141.30 0.05% 55% 13 0.26% $3.65 $179.62 0.07% 60% 25 0.50% $5.35 $214.23 0.09% 65% 48 0.96% $8.73 $295.63 0.14% 70% 82 1.64% $15.08 $381.25 0.22% 75% 132 2.64% $25.86 $539.08 0.35%
89
Table 4-5. Comparison of the APH and WFRP policy under Scenario 5.
Policy Coverage Level
# of times Indemnity is Triggered
Percent Occurrence of
Trigger
Expected Indemnity per
acre
Grower Premium per
acre
Expected Indemnity/ Liability
Amount
APH
50% 119 2.23% $20.67 $58.88 0.40% 55% 178 3.56% $35.78 $80.70 0.63% 60% 275 5.50% $59.19 $103.86 0.96% 65% 408 8.16% $93.48 $153.64 1.40% 70% 547 10.94% $142.08 $210.52 1.97% 75% 746 14.92% $208.06 $313.39 2.69%
WFRP
50% 13 0.26% $3.05 $141.30 0.06% 55% 23 0.46% $4.81 $179.62 0.09% 60% 43 0.86% $8.14 $214.23 0.14% 65% 81 1.62% $14.03 $295.63 0.22% 70% 131 2.62% $24.35 $381.25 0.34% 75% 193 3.86% $40.11 $539.08 0.54%
90
Table 4-6. Comparison of the APH and WFRP policy under Scenario 6.
Policy Coverage Level
# of times Indemnity is Triggered
Percent Occurrence of
Trigger
Expected Indemnity per
acre
Grower Premium per
acre
Expected Indemnity/ Liability
Amount
APH
50% 119 2.23% $20.67 $58.88 0.40% 55% 178 3.56% $35.78 $80.70 0.63% 60% 275 5.50% $59.19 $103.86 0.96% 65% 408 8.16% $93.48 $153.64 1.40% 70% 547 10.94% $142.08 $210.52 1.97% 75% 746 14.92% $208.06 $313.39 2.69%
WFRP
50% 38 0.76% $6.16 $141.30 0.12% 55% 63 1.26% $10.96 $179.62 0.20% 60% 98 1.96% $18.87 $214.23 0.32% 65% 149 2.98% $30.50 $295.63 0.47% 70% 227 4.54% $48.57 $381.25 0.70% 75% 324 6.48% $75.70 $539.08 1.01%
91
Table 4-7. Expected Utility of enrolling in APH or not enrolling for a risk-averse grower under Scenarios 1, 2, 3, 4, 5, & 6. Risk Averse APH Expected Utility – Scenarios 1, 2, and 3
Coverage Level
Do Not Buy
Buy
50.00% 9.609440 9.605601 55.00% 9.609440 9.604261 60.00% 9.609440 9.602912 65.00% 9.609440 9.599888 70.00% 9.609440 9.596725 75.00% 9.609440 9.590764
Risk Averse APH Expected Utility – Scenarios 4, 5, and 6
Coverage Level
Do Not Buy
Buy
50.00% 9.4139768 9.4120839 55.00% 9.4139768 9.4119982 60.00% 9.4139768 9.4126044 65.00% 9.4139768 9.4119442 70.00% 9.4139768 9.4119139 75.00% 9.4139768 9.4094657
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Table 4-8. Florida Blueberry Growers Participation in APH by Coverage Level
Catastrophic Risk Protection
50% Buy -Up
55% Buy-Up
60% Buy-Up
65% Buy-Up
70% Buy-Up
75% Buy-Up
Total Buy-Up Total Florida
Harvested Acreage
Percentage of Acres
Covered Buy-Up
Percentage of Total Acres
Covered Year Policy Count
Insured Acres
Policy Count
Insured Acres
Policy Count
Insured Acres
Policy Count
Insured Acres
Policy Count
Insured Acres
Policy Count
Insured Acres
Policy Count
Insured Acres
Policy Count
Insured Acres
Policy Count
Insured Acres
2000 1 2 1 24 0 0 0 0 3 214 0 0 0 0 4 238 5 240 1400 17.00% 17.14% 2001 1 1 1 33 0 0 0 0 2 80 0 0 0 0 3 113 4 114 1500 7.53% 7.60% 2002 2 73 2 33 0 0 0 0 1 10 0 0 0 0 3 43 5 116 1600 2.69% 7.25% 2003 3 111 2 39 0 0 0 0 1 10 0 0 0 0 3 49 6 160 1900 2.58% 8.42% 2004 1 249 3 48 0 0 0 0 1 10 0 0 0 0 4 58 5 307 2300 2.52% 13.35% 2005 2 340 2 43 0 0 0 0 1 10 0 0 0 0 3 53 5 393 2500 2.12% 15.72% 2006 4 371 5 116 0 0 1 1 3 18 0 0 1 2 10 137 14 508 2600 5.27% 19.54% 2007 7 425 2 53 0 0 3 36 3 25 0 0 1 25 9 139 16 564 2600 5.35% 21.69% 2008 6 475 7 106 0 0 3 79 1 10 0 0 0 0 11 195 17 670 3000 6.50% 22.33% 2009 10 543 5 83 0 0 3 71 1 5 0 0 0 0 9 159 19 702 3200 4.97% 21.94% 2010 11 629 5 88 1 15 2 55 1 5 0 0 0 0 9 163 20 792 3500 4.66% 22.63% 2011 18 966 14 382 2 16 4 30 3 10 3 6 0 0 26 444 44 1410 3800 11.68% 37.11% 2012 21 1027 9 436 2 19 6 110 5 66 2 0 0 0 24 631 45 1658 4500 14.02% 36.84% 2013 19 1182 14 373 2 24 6 117 8 85 2 0 1 39 33 638 52 1820 4300 14.84% 42.33% 2014 21 1453 15 205 2 66 8 203 6 27 2 0 1 39 34 540 55 1993 4300 12.56% 46.35% 2015 17 1197 19 395 4 163 9 205 3 12 3 33 3 70 41 878 58 2075 5500 15.96% 37.73% 2016 21 1281 27 869 4 137 5 112 3 91 8 100 4 44 51 1358 72 2634 4700 28.79% 56.04% 2017 22 1374 28 752 2 109 8 302 6 208 17 185 11 199 72 1755 94 3129
Source: United States Department of Agriculture, Risk Management Agency. 2018 (USDA/RMA, 2018)
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Table 4-9. Alachua Blueberry Growers Participation in APH by Coverage Level Catastrophic Risk
Protection 50% Buy -Up 55% Buy-Up 60% Buy-Up 65% Buy-Up 70% Buy-Up 75% Buy-Up Total Buy- Up Total
Year Policy Count
Insured Acres
Policy Count
Insured Acres
Policy Count
Insured Acres
Policy Count
Insured Acres
Policy Count
Insured Acres
Policy Count
Insured Acres
Policy Count
Insured Acres
Policy Count
Insured Acres
Policy Count
Insured Acres
2000 1 2 1 24 0 0 0 0 3 214 0 0 0 0 4 238 5 240 2001 1 1 1 33 0 0 0 0 2 80 0 0 0 0 3 113 4 114 2002 2 73 2 33 0 0 0 0 1 10 0 0 0 0 3 43 5 116 2003 3 111 2 39 0 0 0 0 1 10 0 0 0 0 3 49 6 160 2004 1 249 3 48 0 0 0 0 1 10 0 0 0 0 4 58 5 307 2005 2 340 2 43 0 0 0 0 1 10 0 0 0 0 3 53 5 393 2006 3 352 0 0 0 0 0 0 2 15 0 0 0 0 2 15 5 367 2007 6 405 1 48 0 0 0 0 2 22 0 0 0 0 3 70 9 475 2008 5 462 1 48 0 0 0 15 1 10 0 0 0 0 3 73 8 535 2009 6 493 2 53 0 0 1 15 1 5 0 0 0 0 4 73 10 566 2010 6 572 2 56 1 15 0 0 1 5 0 0 0 0 4 76 10 648 2011 6 643 3 71 0 0 0 0 1 5 3 6 0 0 7 82 13 725 2012 6 638 2 65 0 0 1 98 2 58 2 0 0 0 7 221 13 859 2013 6 507 4 252 0 0 2 106 3 66 2 0 0 0 11 424 17 931 2014 7 692 3 74 0 0 3 173 2 14 2 0 0 0 10 261 17 953 2015 7 712 3 135 0 0 3 134 1 6 1 8 1 8 9 291 16 1003 2016 9 857 5 169 0 0 1 68 0 0 0 0 3 41 9 278 18 1135 2017 10 913 4 54 0 0 1 68 0 0 0 0 4 51 9 173 19 1086
Source: United States Department of Agriculture, Risk Management Agency. 2018 (USDA/RMA, 2018)
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CHAPTER 5 GENERAL CONCLUSIONS
This chapter summarizes the main findings of this thesis, and the process used
to obtain them. A recommendation for growers as well as policymakers is determined.
The limitations of this thesis are address, and potential future research is suggested.
Summary Conclusions
The main goal of this thesis was to determine which crop insurance policy, Actual
Production History or Whole-Farm Revenue Protection, is more advantageous for
Florida blueberry growers. Data on Florida blueberry yields and prices was gathered to
generate a dataset to run simulations, which allowed the computations of the expected
indemnities under each policy. Comparisons were made between the APH and WFRP
policies by examining the probability of an indemnity trigger, the expected indemnity,
and the premium cost per acre. Scenario analysis revealed that the APH provided a
higher benefit to growers compared to the WFRP, yet the best choice for the grower
was to refrain from enrolling in crop insurance. A secondary goal of this paper was to
address why enrolling in APH or WFRP is not in the best interest of the grower.
Findings showed that the premium rates are set too high by the RMA, due to a lack of
data available.
Recommendation for Growers
It is in the best interest of a representative Florida blueberry grower operating in
Alachua county to refrain from enrolling in crop insurance. Risk-averse growers have a
lower expected utility when enrolling in crop insurance relative to not enrolling. In other
words, growers pay more for crop insurance compared to their long-run expected
indemnities.
95
Recommendation for the RMA
The findings suggest that the premium rates for Alachua count are set too high.
Thus, the RMA should lower the premium rates, which is likely to increase the growers’
enrollment in crop insurance. An increase in enrollment would provide more data so that
the RMA can accurately set premium rates for future years.
Limitations
This thesis utilized the most updated, the state-level prices and yields for Florida
blueberries. However, county-level data would provide a more accurate estimate of
prices and yields. Price and yield distributions were modeled using the lognormal
distribution for price and the normal distribution for yield. There is no consensus in the
literature on how farm yields are distributed, so the normal distribution was used.
Running additional simulations with alternative distribution functions of yield could have
an impact on results. The coefficient of correlation was an independent variable in our
scenarios, which shows the potential impact of an increase in blueberry production from
Mexico. Mexican competition could also influence the mean price that Florida growers
receive, as well as the price distribution. However, this thesis only shows the impact of
Mexican blueberry competition on the coefficient of correlation. Isolating and computing
the influence that Mexican competition has on price mean and distribution is difficult,
and it would make the results exceedingly complex. Lastly, this thesis assumes that
risk-averse growers have a logarithmic utility function. Utility functions are unique to
each individual grower, which is determined by their individual risk preferences. The
logarithmic function was used as the widely accepted utility function for risk-averse
individuals, but other utility functions could be applied in order to capture different risk
preferences.
96
Suggestions for Future Research
Every four to five years, Congress passes a new Farm Bill. Other crop insurance
policies could become available for Florida blueberry growers, and specialty crops in
general. The methodology from this thesis could be used to assess any such policies,
and their benefits to growers. Limitations of this thesis can be addressed in future
research, for example changing the yield distribution function. There is a major debate
in the literature about the way the RMA sets the premium rate for crop insurance
policies, and future policy recommendations can be made through empirical studies.
97
APPENDIX
R CODE
Results <- simulateMvMatrix(5000, distributions = c(Price = "lnormAlt", Yield = "norm"), param.list = list(Price = list(mean = 3.19, cv = 0.269), Yield = list( mean = 4949.89, sd = 1,017.25)),cor.mat = matrix(c(1,-0.60,-0.60,1),2,2), seed = 47)
Results: The name of the dataset created.
SimulateMvMatrix: A simulation of a multivariate matrix (the two variables are yield and price).
5000: The number of iterations or data points for each variable of yield and price. Distributions: The parameter list of how the variables will be distributed. Price = “lnormAlt”: Price follows a lognormal distribution. Yield = “norm”: Yield follows a normal distribution.
Price = list(mean = 3.19, cv = 0.269): Price has a mean of 3.19 and a coefficient of variation of 0.269. Yield = list( mean = 4989.49, sd = 1,017.25): Yield has a mean of 4,949.89 and a standard deviation of 1,017.25. Cor.mat = matrix(c(1,-0.60,-0.60,1),2,2): This specifies the two-by-two (yield by price) matrix with a coefficient of correlation between price and yield of -0.60.
Seed = 47: The random number seed generator.
98
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BIOGRAPHICAL SKETCH
Robert Ranieri completed his Bachelor of Science degree at the University of
Connecticut as a double-major in May of 2016. His first major was Environmental
Sciences and his second was in the field of Resource Economics. At the University of
Florida, Robert received an assistantship to work for the Citrus Education and Resource
Center, where he studied alternative crops to Florida’s citrus industry. After completing
coursework at the Food and Resource Economics Department at UF, he received his
Masters of Science degree in the spring of 2018.