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Forecasting Demand for Movie DVDs
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The Movie Business
Film making is a risky business
Studios make no money from films !!!
That is if we look at box-office alone
Over time, film studios have learnt that they must makemoney from post box-office revenues
Rental revenues
Pay-per-view
Sale of VHS tapes and DVDs to end users
In 2003, over 50% of revenues from a title come fromsale of VHS/DVDs to end users.
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The Motion Picture Industry
Typical Market Window From Release Date
0 12 24 84
Domestic theatrical
Foreign theatrical
Pay per view
Domestic home video
Foreign home video
Pay TV
Foreign TV
Network TV
Syndication
Time (in months)
Source: Vogel (2001)
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Interesting Data
In 2002, on average
To produce a movie: $59 million
To promote a movie: $31 million
To distribute a movie in theaters: $16 million
To make profit from a movie: priceless
FACT:Average domestic box office revenue: $32.5 million
Video: the cash cow of the motion picture industry
Box office: Domestic: $9.5 billion
International: $9.6 billion
Video Rental: $8.1 billion
Sales: $12.2 billion (remains strong even today)
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Forecasting Demand for Movies andRelated Products
Marketing people have worked for years on how toforecast success/failure of new products Products ranging from computers, cars, to soap and shampoo.
Movies: Experiential Products !!!
Perceptual heterogeneity as well as preference heterogeneity. Models exist to predict what movies will do well in the
box-office
Industry Response to this work is at best weak. Studios find this work useful but do not use it !
Single-period vs multi-period view of the world
DVD sales: no such issues it is a packaged good soldin Walmart there is no news about Walmart salesnumbers on CNN
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http://en.wikipedia.org/wiki/File:Mynameiskhan.jpg8/12/2019 2014 Session 7 Video Sales
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http://en.wikipedia.org/wiki/File:Chameli_poster.jpghttp://en.wikipedia.org/wiki/File:Fida.jpghttp://en.wikipedia.org/wiki/File:Jab_We_Met_Poster.jpg8/12/2019 2014 Session 7 Video Sales
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The Key Problem in Predicting DVD Sales
Rental Demand is very highly correlated with BoxOffice Performance [r-square = 0.9]
Direct Sell-through demand is only marginallyrelated to Box Office Performance [r-square = 0.4]
There is something about a DVD What is it about a DVD ..
Multiple viewings as opposed to one viewing.
Our research begins here.
http://www.amazon.com/exec/obidos/ASIN/6305499071/ref=ase_bestofcamerodiaz/102-7704295-64057408/12/2019 2014 Session 7 Video Sales
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Traditional Modeling vs Our Approach
Traditional choice models in marketing rely on constancyof the choice set and attempt to forecast how demandcan be modeled as a function of marketing controlvariables price, advertising, product features etc.
There are a few key brands of toothpastes, cell-phones, cars, wewant to understand how shares might be affected bypromotions, advertising etc
We add a new brand to an existing set, what share it will get.
When it comes to movies and DVDs, the choice setchanges from one purchase occasion to the next.
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Idea of the Model splitting a pie
The basic idea of the market share model of DVD saleshas two parts:
1. Total sales of all DVD titles available in each week is the totalsize of the pie.
2. The pie is split by the DVD titles available in that week.
An example
DVD Sales of Week x, 2002
Shrek
20%
Dr. Seuss How
the Grinch
77%
Legally Blonde
3%
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Formulation of the Model (I)Total Size of the Pie
This is a linear regression, where DVD Weekly TotalSales is a function of DVD Installed Base, SeasonalityIndex (constructed by weekly DVD sales), and AverageBox Office of DVDs Released
the subscript t in the equation means week t
t
t
t
t
tt
DVDCountOfRlsDVDSumBOofRls
ySeasonalit
edBaseDVDInstall
edBaseDVDInstallotalSalesDVDWeeklyT
5
4
3
2
10
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Formulation of the Model (II)Given a pie, how is it split?
The attractiveness of each DVD title (subscript j in the following equation)is defined as a linear function of multiple independent variables (Xjl in thefollowing equation), including Cumulative box office, 1st weekend boxoffice as a percentage of cumulative box office, MPAA rating, CinemaScore, etc. (variables listed in the results section)
The market share of each DVD titles is the attractiveness of itself dividedby the sum of attractiveness of all the DVD titles in that week. In thefollowing formulation, the more similar (similarity defined as a match-up ofgenre, MPAA rating and releasing week) two titles are, the morevigorously they are competing with each other.
kj ttandjk
jkkj
j
jtSimilaritynessAttractivenessAttractivedsOutsideGoo
nessAttractiveeMarketShar
...1110 jjj PercentWkdCumeBOnessAttractive
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Formulation of the Model (III)Combine the two above
The 1st 2-week market share of each DVD title is simplyits 1st 2-week sales divided by the total DVD sales ofthose weeks.
otalSalesDVDWeeklyT
WeekSalesDVDeMarketSharDVDWeek
st21
1
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Forecasting DVD Sales: Steps to Take
1. Estimate the market share model.
2. Calculate the pie in the week the DVD of interest isgoing to be released
3. By taking consideration of the competitive DVDs to berelease closely, predict the market share
4. Combine the results from steps 2 and 3 to forecast thesales
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Results I: Pie (Industry Sales) - Plot
Weekly Industry Sales
y = 0.9341x
R2= 0.8219
-1000000
0
1000000
2000000
3000000
4000000
5000000
6000000
7000000
8000000
9000000
0 1000000 2000000 3000000 4000000 5000000 6000000 7000000 8000000 9000000
Actual
Predicted
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Results I: Pie (Industry Sales)Variables Used
The following variables (signs of coefficients) are used inthe Pie regression:
(+) Seasonality
(+) DVD installed base
(-) Square root of DVD installed base
(+) Sum of theatrical box office of released DVD
(-) Count of number of DVD titles released
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Results II: Market Share - Plot
Market Share
y = 0.8706x
R2= 0.7372
-0.1
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7
Actual
Predict
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Results II: Market ShareVariables Used
The following variables (signs of coefficients) are used inthe attractiveness measure:
(+) Cumulative box office
(-) 1st weekend box office as a percentage of cumulative box office
(-) Holiday box office
(-) Number of days from theatrical release to DVD release
(+) DVD direct sale through
(-) Number of days from VHS release to DVD release
(-) MPAA rating G (-) MPAA rating PG
(-) MPAA rating PG13
(+) Cinema Score
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Results III: Forecast of 1st 2-week sales
Week 1 and 2 Combined DVD Sales
y = 0.9059x
R2= 0.7855
-500000
0
500000
1000000
1500000
2000000
2500000
3000000
3500000
4000000
0 500000 1000000 1500000 2000000 2500000 3000000 3500000 4000000
Actual
Predicted
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Postscript
The model was developed for a major studio.
We tested the prototype at Wharton for one year.
Every month we made forecasts for titles that have beenreleased in the box-office and have been running for 4 weeks.
The model was handed over to the studio for furtheradaptation and application.
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From Hollywood to . Bollywoodand finally to .Tollywood
What about India
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What inputs are needed to generate forecasts?
Example: Harry Potter and the Sorcerer's StoneDVD release date: 10/22/02To forecast DVD sales of the title, we need:
1. The projected DVD installed base around 10/22/022. All the DVD titles released
I. Within 1 week before 10/22/02;II. In the same week as 10/22/02; andIII. Within 1 week after 10/22/02
3. Say there are 10 such DVD titles, we need to know their: Cumulative box office 1st weekend box office Theatrical release date VHS street date DVD street date MPAA rating Genre Cinema Score
With such information we can use our model to forecast the 1st-2-weeksales of Harry Potter and the Sorcerers Stone.
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Backup Slides
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Pie (Industry Sales) Coefficients
The following coefficients in the pie regressionare estimated:
(+3.98x106) Seasonality
(+1.77x102) DVD installed base
(-1.70x104) Square root of DVD installed base
(+3.44x103) Sum of theatrical box office of released DVD
(-6.25x104) Count of number of DVD titles released
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Market Share Coefficients
The following coefficients in the attractiveness measureare estimated:
(+2.96x10-3) Cumulative box office
(-2.96x10-9) 1st weekend box office as a percentage of cumulative
box office (-1.19x10-3) Holiday box office
(-4.14x10-4) Number of days from theatrical release to DVD release
(+1.52x10-2) DVD direct sale through
(-3.73x10-2) Number of days from VHS release to DVD release
(-0.110070) MPAA rating G
(-4.84x10-2) MPAA rating PG
(-2.65x10-2) MPAA rating PG13
(+3.01x10-3) Cinema Score
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The Motion Picture Industry
Typical Market Window From Release Date
0 12 24 84
Domestic theatrical
Foreign theatrical
Pay per view
Domestic home video
Foreign home video
Pay TV
Foreign TV
Network TV
Syndication
Time (in months)
Source: Vogel (2001)