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CHAPTER 1
INTRODUCTION
Broad Problem Area
Over the course of the past year the Pakistani economy has
taken such drastic turns that it has baffled even seasoned
economists and researchers, one such change has been the
unprecedented success of the Karachi Stock Exchange,
represented mostly by the KSE-100 index. Just to take an
example, in April 2003 the KSE-100 index stood a hundred
points shy of the 3000 mark, a coveted position at that
time, and now little over an year later it stands well past
the 5000 point level. Such a radical change has naturally
forced a lot of people to uncover the fundamental reasons
behind the change. This research paper is an effort by the
researcher to find out which are the fundamental
determinants of the KSE index and what is the extent of
their influence on it.
Background Of KSE
The KSE is a relatively young (it was established soon
after independence in 1947) and small market. In 2002, it
had 758 stocks listed with a total market capitalization of
about $10 billion or 16% of GDP. The KSE captures 74% of
the overall trading volume in Pakistan. There are two
smaller stock exchanges covering the remaining 26%: The
1
Lahore stock exchange (22%), and the Islamabad stock
exchange (4%). The KSE-100 index, which is a weighted price
index of the top 100 companies listed on the stock market,
is usually taken as a benchmark index in Pakistan.
Rationale Of The Study
There is a consensus among macroeconomists and finance
theorists that stock market prices are driven by
macroeconomic variables, the so- called “fundamentals” in
the economy. Moreover, it is also agreed that the linkage
is two-way; that is, feedback exists between the stock
market and real activity.
There has been a great deal of research into the phenomenon
described above in the developed economies such as the US,
the UK, Germany, Japan etc, where researchers have come up
with some very informative and insightful results. These
results have helped them explain to some degree the
behavior of their stock exchanges and in turn have helped
them make better predictions about its current and future
performance. It is only logical that such studies be
conducted for the Pakistani stock market so that we too can
benefit from the predictive power of economic variables for
our stock exchanges.
2
Research Questions
Trying to investigate relations between the variables, the
aim is to make it easier to try to answer the following
hypothesis:-
1. Does industrial production affect the KSE index?
2. Do interest rates affect the KSE index?
3. Does inflation affect industrial production?
4. Does inflation affect interest rates?
5. Does inflation affect the KSE index?
6. Do interest rates affect industrial production?
In analysis of this paper ten years’ monthly data for the
period 1994 until 2004 is taken for all variables.
3
Theoretical Framework
To examine the relationship for the hypothesis listed, the
following multivariate model is specified:
U = (KSE, IPI, INF, STI)
Where,
KSE= KSE-100 Index
IPI= Industrial Production Index of Pakistan
INF= Inflation rate of Pakistan
STI= Short Run Interest Rate of Pakistan, in percentage
The Karachi Stock Exchange’s 100 index (KSE), being an
equally weighted price index, is calculated by taking the
average of the prices of a set of 100 biggest companies
listed on the KSE. These companies are sufficiently
representative of the Pakistani Stock Market, because of
the weight of these companies; the KSE-100 index accounts
for majority of the total trading volume.
The Industrial Production Index, (IPI), is included as a
proxy for real economic activity in the Pakistani market.
Inflation (INF) is taken on a monthly basis from the
Consumer Price Index.
The Short Run Interest Rates (STI), corresponds to the
Weighted average rate of return on 3 month or less fixed or
4
term deposits (interest bearing and PLS) offered by All
Scheduled Banks in Pakistan in percent per annum.
Objectives Of The Study
The objective of this paper is to investigate the relations
among key economic variables such as:
Inflation Interest rates Industrial production
and the stock market index in the small Pakistani economy,
where stock exchanges are less mature as compared to those
in e.g. US, Japan and the UK.
Definition Of The Terms
The following terms have been used extensively in the
report and therefore it is appropriate to adequately define
them for the reader.
Liner Regression: Linear Regression estimates the
coefficients of the linear equation, involving one or more
independent variables that best predict the value of the
dependent variable.
Confidence intervals: depicts the model’s ‘confidence’ in
the result i.e. whether estimations have been made at 90%
5
or 95% etc, confidence intervals for each regression
coefficient
R squared change: The change in the R2 statistic that is
produced by adding or deleting an independent variable. If
the R2 change associated with a variable is large, that
means that the variable is a good predictor of the
dependent variable.
Descriptives: Provides the number of valid cases, the mean,
and the standard deviation for each variable in the
analysis.
Part and partial correlations: Convey the zero-order, part,
and partial correlations. Values of a correlation
coefficient range from –1 to 1. The sign of the coefficient
indicates the direction of the relationship, and its
absolute value indicates the strength, with larger absolute
values indicating stronger relationships.
Residuals: Depicts the Durbin-Watson test result for serial
correlation of the residuals and casewise diagnostics for
the cases meeting the selection criterion.
Predicted Values: Values that the regression model predicts
for each case.
Unstandardized: The value the model predicts for the
dependent variable. The unstandardized coefficients are the
coefficients of the estimated regression model
Standardized: A transformation of each predicted value into
its standardized form. That is, the mean predicted value is
6
subtracted from the predicted value, and the difference is
divided by the standard deviation of the predicted values.
Often the independent variables are measures in different
units. The standardized coefficients or betas are an
attempt to make the regression coefficients more
comparable.
Adjusted: The predicted value for a case when that case is
excluded from the calculation of the regression
coefficients.
S.E. of mean predictions: Standard errors of the predicted
values. An estimate of the standard deviation of the
average value of the dependent variable.
Prediction Intervals: The upper and lower bounds for both
mean and individual prediction intervals.
Mean: Lower and upper bounds for the prediction interval of
the mean predicted result.
Individual: Lower and upper bounds for the prediction
interval of the dependent variable.
Residuals: The actual value of the dependent variable minus
the value predicted by the regression equation.
Bivariate Correlations: The Bivariate Correlations
procedure computes Pearson's correlation coefficient, with
its significance levels. Correlations measure how variables
are related. Pearson's correlation coefficient is a measure
of linear association.
7
Correlation Coefficients: Correlation coefficients range in
value from –1 (a perfect negative relationship) and +1 (a
perfect positive relationship). A value of 0 indicates no
linear relationship.
Test of Significance: Dependent on either two-tailed or
one-tailed probabilities. If the direction of association
is known in advance, One-tailed is taken. If the direction
of association is not known then Two-tailed test of
significance is taken.
8
CHAPTER 2
LITERATURE REVIEW
The relationships among real, monetary and financial
variables have been active topics of economic research for
most of this century. An increasing amount of empirical
evidence noticed by several researchers leads to the
conclusion that a range of financial and macroeconomic
variables can affect stock market activity (e.g. Campbell,
1987, French, Schwert and Stambaugh, 1987, Fama and French,
1989, Balvers, Cosimano and McDonald, 1990, Been, Glosten
and Jaganathan, 1990, Cochrane, 1991, Campbell and Hamao,
1992, Ferson and Harvey, 1993, Glosten, Jaganathan and
Runkie, 1993 and Pesaran and Timmerman, 1995, 2000).
The relationship between stock market activity and
fundamental economic variables in the U.S. is well
documented (Fama 1970, 1990 and 1991). In recent years,
numerous studies (Fama 1981, Chen, Roll and Ross 1986, Chen
1991) modeled the relation between stock market activity
and real economic activities in terms of production rates,
productivity, GNP growth rate, unemployment, yield spread,
interest rates, inflation, dividend yields, etc. These
relationships among stock market activity, real economic
activity and monetary variables in the U.S. also have been
studied by (Geske & Roll 1983), (Mallaris & Urrutia, 1991),
(Darrat & Brocato, 1994), (Darrat & Dickens, 1999), while
9
Known, (Shin & Bacon, 1997) studied these relationships in
Korea.
(Mallaris et al., 1991) studied the linkage among
industrial production, interest rates and the S&P 500
Index; the results seem to suggest that the
interrelationships among the three variables are not
statistically significant, contrary to what the economic
and financial literature assumes. Since this finding
challenged economic conventional wisdom, it is worth
determining whether the economic role of the stock markets
in relatively less developed countries, such as Pakistan,
is or is not clearly significant. Specifically, it is
interesting to examine how the Pakistani market responds,
in terms of stock market activity, to changes in its
fundamental economic variables. This question, as of yet,
remains unanswered.
(Harbeler, 1937) has summarized a wealth of economic
theories attempting to explain the nature and causes of
stock market activity and particularly fluctuations. The
great depression of 1930’s and the impact of Keynes’
General Theory interrupted the research of the Pre-
Keynesian economists, and during the 1950’s to the late
1960’s the Keynesian doctrine of aggregate demand and
activist fiscal policy distracted attention from the
monetary and financial areas. (Friedman & Schwartz 1963,
1982), among other economists, have redirected the
attention of researchers to the role of interest rates,
while financial economists such as (Sharp, 1964) focused on
financial assets.
10
More recently, numerous studies have focused on specialized
issues. (Rozeff, 1974) has studied the relationship between
interest rates and stock prices, and (Barro, 1977) has
analyzed the potential relationships between monetary
factors and real industrial output. (Fama, 1981)
investigates the relationships among stock returns, real
economic activity, inflation and money. (Plosser, 1989)
reviews an extensive literature on real industrial activity
and emphasizes the significant role of technological shocks
on the production function and the economy’s real output.
(Mankiw, 1989) criticizes Plosser’s research and cites the
significant role of tight monetary policies. (Kydland &
Prescott, 1990) developed an in-depth methodological
procedure to measure fluctuations for various variables.
They conclude that credit considerations could play an
important role in current and future industrial activity.
(Malliaris et al., 1991) observed that the performance of
the stock market might be used as a leading indicator for
real economic activities in the United States. For the
United Kingdom, (Thornton, 1993) also found that stock
returns tend to lead real economic activity. In related
work, (Chang & Pinegar, 1989) and (Chen et al., 1986) also
concluded that there is a close relationship between stock
market and the domestic economic activity.
(Neftci, 1984) presented evidence to support his hypothesis
that recessions in economic activity tend to be steeper and
more short-lived that recovery in economic activity. (Falk,
1986) extended the study of Neftci to other economic series
typically associated with the U.S. industrial activity:
11
real GNP, output per worker-hour, and gross domestic
private investment. In addition, he studied the behavior of
industrial production in Canada, Italy, West Germany, the
United Kingdom, and France. Furthermore, during the past
decade a significant number of papers have investigated the
excessive volatility in stock markets and questioned the
validity of the efficient financial market hypothesis.
(Schiller, 1989) summarizes these studies and argues that
volatilities in stock market indices are excessive relative
to the volatilities in real or monetary variables.
This evidence increases the challenge to industrial
activity theorists who must now explain not only potential
relations among changes in levels of real, monetary,
economic and financial variables, but also relations among
their volatilities. Actually, this is not a new idea;
(Friedman et al., 1963) had shown that changes in the
volatility of interest rates generated changes in the
volatility of industrial output. In their seminal paper,
(Chen, Roll and Ross, 1986) find that the following macro
variables were significant in explaining expected stock
market activity: industrial production, changes in the risk
premium, twists in the yield curve and, more weakly,
measures of unanticipated inflation and changes in expected
inflation during periods when these variables were highly
volatile.
Studies on non-US markets have mostly been based on the
(Chen et al., 1986) approach. (Hamao, 1988) tested the
Japanese market and found strong relations, except for the
case of Japanese monthly production.
12
(Martinez & Rubio, 1989) used Spanish data and found no
significant relationship between stock market activity and
macroeconomic variables. (Poon & Taylor, 1991) are also
unable to explain activity in the UK by factors used by
Chen et al. More recently, (Kaneko & Lee, 1995) have re-
examined the US and the Japanese markets. They found that
both the term and risk premiums, as well as the growth rate
of industrial production, are significantly related in the
US. In Japan, however, international factors have become
increasingly more important. As opposed to the findings of
(Hamao, 1988), changes in oil prices, terms of trade and
exchange rates were significant in Japanese stock market
activity. (Jones & Kaul, 1996) investigated the response in
the stock market of oil prices in the US, Canada, the UK,
and Japan. They concluded that the US and Canadian stock
markets are rational, in the sense that the response to oil
shocks could be completely accounted for by their impact on
current and future cash flows. In the UK and Japan,
however, stock markets have overreacted to new information
about oil prices.
Standard stock valuation models predict that stock prices
are affected by the discounted value of expected cash
flows. (Chen et al., 1986) and (Fama, 1990) have shown real
economic activity, interest rate and stock returns to be
correlated. However, most of these earlier studies focus
upon the short-run relationship between stock market and
financial and macro-economic variables, which may remove
important information contained in the permanent component
of economic activity concerning the evolution of short-run
13
movements. In comparison to the above, long-run
relationship between stock market and the economic
variables has received little attention of researchers
except in (Mukherjee, Naka, 1995), (Chung & Ng, 1998),
(Maysami & Koh, 2000) and (Nasseh & Strauss, 2000). By
using the concept of correlation, the empirical long run
relationships between stock market indices and measures of
economic activity and financial variables can be
investigated. Correlation between stock prices and economic
activity can be seen to be consistent with both internal &
theoretical consumption and production-based models. These
models suggest that stock prices are related to expected
future production through effect on the discounted value of
changes in cash flows and dividends, (Cochrane, 1991).
More recently, empirical models without any specific
theoretical structure have been applied in a more pragmatic
fashion to the two-way relationship between stock market
indices and real economic variables. The regression model
has been particularly popular in this area given that it
can be used as a framework for formal examination of inter-
relationships within a given data. A relatively early
application of the regression model to the analysis of the
relationship between the stock indices and the macro
economy is by (Lee, 1992) and more recent ones can be found
in (Cheung et al., 1998). Recently several researchers like
(Baestaens et al. 1995); (Kaastra Ibeling & others 1996),
(Katsurelis, 1998), (Kamath, 1999 and 2002) recommend the
use of Artificial Neural Network (ANN) for investigating
the correlation relationship as well as forecasting in
14
capital markets, which has tremendous promise in terms of
methodology.
Moving towards market in Pakistan’s immediate vicinity,
there have been several studies regarding the relationship
between the stock exchange activity and the key economic
variables. Taking the example of India, (Sharma Kennedy,
1977) and (Sharma, 1983) tested the weak-form efficiency of
the Bombay Stock Exchange (BSE). Both of these studies with
the former covering the 1963-1973 period and the later
encompassing the 1973- 1971 period, conclude that Indian
stocks generally conformed to random-walk behavior in that
successive period changes were independent. (Poterba &
Summers, 1988), however, find evidence of mean reversion in
Indian stock prices, suggesting a deviation from random-
walk behavior. Technical analysis of the stock market can
thus be conducted based on this result.
(Darat & Mukherjee, 1987) apply a regression model along
with Akaike’s final prediction on the Indian data over
1948- 1984 and find that a significant causal relationship
exists between stock market activity and selected macro-
economic variables. (Naka, Mukherjee and Tufte, 1996) have
analyzed relationship among selected macroeconomic
variables and the Indian stock market. By employing a
regression model, they find that domestic inflation and
domestic output are the two most prominent factors
influencing stock market activity.
In a recent study under NSE Research Initiative (Kamath,
2002, paper no. 10) uses Artificial Neural Network (ANN) to
15
examine the relationship of macro-economic factors to stock
market activity. More recent studies like (Bhattacharya &
Mukherjee, 2002), (Rao & Rajeswari, 2000), (Pethe & Karnik,
2000) use advanced methods in econometrics to study the
same relationship.
(Bhattacharya & Mukherjee, 2002) test the causal
relationships between the BSE Sensex and five macroeconomic
variables. Their major findings are that there is no
linkage between the stock prices and money supply, national
income and interest rate while the index of industrial
production leads the stock price and there exists a
significant correlation between stock market index and rate
of inflation.
(Rao & Rajeswari, 2000) try to explore the role being
played by a good number of macro economic variables in
influencing the stock market when reduced into a manageable
number of economic factors. (Pethe & Karik, 2000) use
regression and correlation models to test relationship
between stock market behavior and some macro-economic
variables.
(Fama, 1981) asserts that there is a strong relationship
between stock returns with other macroeconomic variables,
notably, inflation and national output as well as
industrial production. The inflation rate is an important
element in determining stock returns due to the fact that
during the times of high inflation, people recognize that
the market is in a state of economic difficulty. People are
laid off work, which could cause production to decrease.
16
When people are laid off, they tend to buy only the
essential items. Thus production is cut even further. This
eats into corporate profits, which in turn makes dividends
diminish. When dividends decrease, the expected return of
stocks decrease, causing stocks to depreciate in value.
(Fama, 1981), (Geske et al., 1983), (James et al. 1985),
and (Stulz, 1986) all attempt to explain the negative
association between stock returns and inflation.
Most past empirical literature shows that stock market
activity is negatively correlated with inflation (Fama &
Schwert, 1977; Gultekin, 1983; and recently Barnes et al.,
1999 among others). (Fama, 1981) explains the negative
short-run correlation between stock returns and inflation
by the negative short-run correlation between inflation and
real activity.
17
Chapter 3
METHOD
Data
In analysis of this paper ten years’ monthly data for the
period January 1994 until January 2004 is taken for all
variables. (N=120, for each variable).
As already mentioned in the theoretical framework portion,
the data used in the study has four portions:
1. The first portion of the data is the information
regarding the Inflation rate of Pakistan, which is
fairly represented by the Consumer Price Index of
Pakistan or the CPI.
2. The second portion of the data is the information
regarding the industrial production level of
Pakistan, this is represented by the Quantum Index
of Manufacturing. This index is taken as a proxy for
real economic activity in Pakistan.
3. The third portion of the data is the Short-term
interest rates offered on very short term fixed or
term deposits. A weighted average of the rate of
return on 3 month or less fixed or term deposits
offered by all the scheduled banks in Pakistan is
taken.
18
4. Finally data for the Karachi Stock Exchange’s 100
index is taken. The reasons for taking the KSE-100
index and not an aggregate index representing all
the stock and companies listed in the KSE is that
the KSE-100 index is sufficiently representative of
the Pakistani Stock Market, since it accounts for
majority of the total trading volume.
Sources Of Data
Monthly data from January 1994 to January 2004 has been
used in this study. Data for the Industrial Production
Index, Consumer Price Index, and Interest Rates were
obtained from the State Bank of Pakistan’s Monthly
Statistical Bulletin, SBP’s Annual Reports and the economic
survey of Pakistan for the relevant years. Data for the
Karachi Stock Exchange Index were obtained from Yahoo
Financial Services and CBS MarketWatch in addition to the
statistical documents mentioned above.
Procedure
To test the predicting power of the key economic variables
over the KSE index a linear regression model is used and to
determine the relationships between all the variables
selected including the independent and all the dependent
variables, a bivariate correlation model is used.
To find out the regression relationship between the
dependent and independent variables the compiled data will
19
be entered into the famous statistical package SPSS. Once
the data has been entered the required tests will be
conducted and the results will be used to analyze the
relationship between the KSE-100 index and the key economic
variables taken as estimators of the index.
Furthermore to find out how the four variables taken are
interrelated, Pearson’s correlation test will also be
applied. The correlation test will indicate the level of
interrelatedness of the four variables i.e. KSE-100 index,
Industrial Production index, Short-term interest rates and
the level of inflation in the Pakistani economy over the
course of the time period taken.
20
CHAPTER 4
RESULTS AND DISCUSSION
The results that were obtained after running the data
through SPSS are as follows.
The results for linear regression will be discussed first
followed by those for correlation between the four
variables i.e. KSE-100 index, Industrial production index
(IPI), Short-term interest rates of Pakistan and the
inflation level of Pakistan (INF).
RESULTS OF REGRESSION ANALYSIS
Model Summary
Table 4.1
Model R
R
Square
Adjusted
R Square
Std. Error
of the
Estimate
1 .867 .751 .745 361.86019
Explanation: The above table gives the summary of the model
which has been applied to the data. This table displays R,
R squared, adjusted R squared, and the standard error.
21
R, the multiple correlation coefficient, is the correlation
between the observed and predicted values of the dependent
variable. The values of R for models produced by the
regression procedure range from 0 to 1.
Analysis: It is important to point out here that larger
values of R indicate stronger relationships. It can be seen
that the value of R obtained for our data results is .867
which is a very high value given the fact that the maximum
value which R can obtain is 1.
Moving on to the values for R Square also called the
coefficient of determination, R squared is the proportion
of variation in the dependent variable explained by the
regression model. Once again the values of R squared range
from 0 to 1. Small values indicate that the model does not
fit the data well whereas larger values of R squared
indicate the model fits the data well. Since the R squared
value for our data set is .751 which is a fairly large
value considering the fact that R squared value can at most
be equal to 1 it can be said that the model fits the data
very well.
Adjusted R squared attempts to correct R squared to more
closely reflect the goodness of fit of the model in the
population. It can be seen that even the adjusted R
squared, which presents a somewhat reduced value of R
squared, is giving a value of .745 which is a significantly
high value. The interpretation that can be obtained from
the adjusted R squared value is that 74.5% of the variation
in the KSE index is explained by the variables selected in
22
the model, i.e. 74.5% of the variation in the Karachi Stock
Exchange index is due to that Inflation level in the
economy, the level of short-term interest rates and the
level of industrial production in the country.
The following are the results for Analysis of Variance
(ANOVA) Model.
ANOVA
Table 4.2
Model
Sum of
Squares df
Mean
Square F Sig.
1 Regression 4586524
4.1663
15288414.
722116.76 .000
Residual 1518936
4.688116 130942.80
Total 6105460
8.853119
Explanation: The above table summarizes the results of an
analysis of variance. The sum of squares, degrees of
freedom, and mean square are displayed for two sources of
variation i.e. regression and residual. The output for
Regression displays information about the variation
accounted for the model, whereas the output for Residual
displays information about the variation that is not
accounted for by the model and the output for Total is the
sum of the information for Regression and Residual. The
mean square is the sum of squares divided by the degrees of
freedom (df). The F statistic is the regression mean square
23
(MSR) divided by the residual mean square (MSE). The
regression degrees of freedom is the numerator df and the
residual degrees of freedom is the denominator df for the F
statistic. The total number of degrees of freedom is the
number of cases minus 1. If the significance value of the F
statistic is small (smaller than say 0.05) then the
independent variables do a good job explaining the
variation in the dependent variable.
Analysis: A model with a large regression sum of squares in
comparison to the residual sum of squares indicates that
the model accounts for most of variation in the dependent
variable. It can be clearly seen from the table that the
value for regression sum of square is three times larger
than the value for the residual sum of square. Since the
value of the regression is larger than that of the residual
it can be said that the independent variables account for
most of the variation in the dependent variable. In other
words, the independent variables chosen i.e. Pakistan’s
Inflation level, Short-term interest rates and level of
industrial production account for most of the variation in
the dependent variable i.e. the Karachi Stock Exchange
index.
Furthermore the significance value of the F statistic is
very small (.000) which means that the independent
variables i.e. CPI, IPI and STI do a very good job
explaining the variation in the dependent variable, i.e.
KSE.
24
The regression coefficients will now be explained and
analyzed.
Coefficients
Table 4.3
Model
Unstandardized
Coefficients
Standardized
Coefficients T Sig.
B
Std.
Error Beta
1 KSE 4352.300 284.287 15.310 .000
INF 3.198 .736 .266 4.343 .000
IPI -1.180 .643 -.097 -1.835 .069
STI -450.183 26.938 -1.049 -16.712 .000
Explanation: The unstandardized coefficients are the
coefficients of the estimated regression model. Often the
independent variables are measures in different units. The
standardized coefficients or betas are an attempt to make
the regression coefficients more comparable. The t
statistics can help to determine the relative importance of
each variable in the model. Once again the values are
significant if they are less than .05, any value greater
than .05 is not significant.
Analysis: It was necessary to present this table since the
independent variables were measured in different units,
i.e. CPI and IPI were measured in absolute units whereas
STI was measured in percentage per annum. The results
suggest that there is a significant relationship between
25
the KSE index and all the independent variables except for
the industrial production index. There is no significant
regression association between the KSE index and the index
of industrial production index. As expected the Pakistani
benchmark stock exchange does not reflect and is not
affected by actual economic activity but is affected much
more by variation in the monetary variables such as the
interest rates and the level of inflation restricting or
relaxing the level of money available for investment into
the stock exchange. These results will be discussed in
greater detail once the data correlation results are
discussed and as, subsequently, the research questions are
answered one by one.
26
RESULTS OF CORRELATION ANALYSIS
This section discusses the results of the bivariate
correlation test applied to the sample data.
As in the previous section the result table will first be
explained and the results will then be analyzed.
Correlations
Table 4.4
INF IPI STI KSE
INF Pearson
Correlation1 -.410 .641 -.367
Sig. .000 .000 .000
N 120 120 120 120
IPI Pearson
Correlation-.410 1 -.455 .272
Sig. .000 .000 .003
N 120 120 120 120
STI Pearson
Correlation.641 -.455 1 -.834
Sig. .000 .000 .000
N 120 120 120 120
KSE Pearson
Correlation-.367 .272 -.834 1
Sig. .000 .003 .000
N 120 120 120 120
27
Explanation: As a measure of correlation, Pearson’s
correlation is employed. The correlations table displays
Pearson correlation coefficients, significance values, and
the number of cases with non-missing values. The Pearson
correlation coefficient is a measure of linear association
between two variables. The values of the correlation
coefficient range from -1 to 1. The sign of the correlation
coefficient indicates the direction of the relationship
(positive or negative).
The absolute value of the correlation coefficient indicates
the strength, with larger absolute values indicating
stronger relationships. The correlation coefficients on the
main diagonal are always 1.0, because each variable has a
perfect positive linear relationship with itself. The
significance of each correlation coefficient is also
displayed in the correlation table. The significance level
(or p-value) is the probability of obtaining results as
extreme as the one observed. If the significance level is
very small (less than 0.01) then the correlation is
significant and the two variables are linearly related.
Analysis: Looking first of all at the level of
significance, all the variables except IPI reflect a very
small level of significance, smaller than the threshold .01
level, signifying a high level of significance. The only
variable which has resulted in an insignificant level of
significance is the index of industrial production’s
correlation with the Karachi Stock Exchange index. This
result further validates the result obtained from the
regression analysis which indicates that the industrial
28
production index does not do a good job explaining
variation in the KSE index.
There is a no significant relationship between KSE and IPI,
i.e. the KSE index is not significantly affected by any
sort of change in the level of industrial production in the
Pakistani economy, this result has important implications
which shall be looked into more deeply later on.
There is a very strong negative relationship between KSE
and STI, i.e. the KSE index is greatly affected in a
negative sense by an increase in the Short-term interest
rates prevailing in Pakistan and is affected positively by
a decrease in the short-term interest rates.
Further detail of the correlative relationships between the
dependent and the independent variables is looked into in
more detail along with support from economic theory in the
next section.
29
Research questions answered
1. Does industrial production affect the KSE index?
The KSE index does not seem to significantly affect the
index of industrial production. There does seem to exist a
very weak positive relationship between KSE and IPI i.e. if
one increases the other should increase and if one
decreases the other should decrease, but this relationship
does not seem to be a significant one since the level of
significance is greater than the threshold significance
level of .01 and thus the relationship cannot be called
significant. This result indicates that there is no
significant relationship between the aforementioned
variables at the 5% significant level. There would however
be significance at the 10% level, but as a norm these sort
of time series analysis are always taken ‘at most’ at the
5% significance level therefore it can be concluded that
there is no significant relationship between industrial
production and the KSE index.
This result has important implications for all who are
involved in forecasting stock markets in Pakistan, since
the KSE is thought to significantly affect the other two
INDUSTRIAL PRODUCTION
KSE INDEX
30
stock exchanges in the country i.e. the Lahore (LSE) and
Islamabad (ISE) stock exchanges, and also for policy
writers. Since the index of industrial production is taken
as a proxy for real economic activity in Pakistan, saying
that it has no significant relationship with Pakistan’s
premier benchmark stock market index means that the Karachi
Stock exchange is not significantly affected by level of
economic activity in Pakistan. A country’s stock exchange
is theoretically supposed to reflect the level of economic
activity prevalent, why KSE is not seems like an economic
anomaly. Further light on possible causes for such behavior
will be shed in the subsequent section.
2. Do interest rates affect the KSE index?
The short-term interest rates seem to a have a very strong
relationship, in fact the strongest relationship of any
variable in this study, with the Karachi Stock Exchange
index. The correlation results suggest that there is an
83.4% negative relationship between the short-term interest
rates and the KSE index. This is a very strong relationship
indeed and falls exactly in place with previous research
conducted into the investment function and how the stock
exchange is a substitute for other means of savings in the
economy e.g. depositing money into commercial banks in
short-term fixed and term deposits.
INTEREST RATES
KSE INDEX
31
As interest rates offered on deposits decrease people find
it more worthwhile to invest their money into other avenues
such as the stock exchanges and real estate etc. A similar
but opposite behavior is witnessed in the case of an
increase in interest rates. When interest rates increase
people find it more profitable to keep their money in the
bank than to invest it in avenues such as the stock
exchange. In this case in addition to gaining more return
by keeping their money in the bank the investor also avoids
facing the considerable amount of risk inherent in all
stock market investments.
This sort of behavior is exactly in accordance with proven
economic theory regarding the inverse relationship between
interest rates and investment. When interest rates decrease
investment increases and when interest rates increase
investment decreases. It is simply a matter of opportunity
cost. The opportunity cost of investing in say the stock
market is the interest that would have been received if the
money had been kept with a bank, and since the money is not
being kept in the bank but is rather invested in the stock
market the opportunity cost of the stock market investment
is the amount of interest forgone. If the opportunity cost
(interest) is large enough then the person ends up not
investing in the stock market but rather preferring to keep
the money lying in the bank.
32
3. Does inflation affect industrial production index?
There is a negative correlation albeit a weak one between
the level of inflation in the Pakistani economy and the
index of industrial production. The Pearson’s correlation
result indicate that there is a 41% negative relationship
between the consumer price index and the index of
industrial production.
This result falls in line with previous economic and
operations research done which suggest that the demand for
a company’s product is the heaviest entity in its
production function. The greater the demand for a company’s
product the greater the level of production the company
will commit itself to in order to satisfy that demand. It
is also a well know fact that demand for a product is
dependent on the level of disposable income available with
the people. Furthering this chain of relations, the level
of disposable income available with the public is directly
related to the prevalent inflation level in the economy,
the more expensive things are, ceteris paribus, the more
money it will take to buy them thereby reducing the amount
of money left to buy other things. This leads to a direct
decrease in the level of disposable income thereby reducing
demand leading to a decrease in the production function of
all industries across the board. The level of decrease in
the production function however depends on a multitude of
INFLATION INDUSTRIAL PRODUCTION
33
other factors such as the elasticity of demand of the
product and whether or not the product is a necessity of
life and so on.
34
4. Does inflation affect interest rates?
There is a strong positive correlation between interest
rates and inflation, following the Pearson’s correlation
result it can be said that there is a 64.1% positive
relationship between inflation and interest rates i.e. if
the level of inflation increases so do the interest rates.
Once again this behavior of the variables can be explained
through monetary economic theory. One of the lead causes of
inflation is said to be “too much money chasing too few
goods”. It is a well known economic fact that when the
level of money supply increases in an economy the general
price level of goods also increases. People simply have too
much money and there are not that many goods to satisfy the
increase in demand that results from increase in money with
the public. This results in an increase in commodity prices
across the board otherwise known as inflation.
The primary way to control inflation is to simply increase
the interest rates, and this is the practice that has, as
expected, been prevalent in the Pakistani market in the 10
year period from January 1994 to January 2004. The 64.1%
strong positive relationship between inflation and interest
rates can be attributed to prudent monetary policy
manipulation by the State Bank of Pakistan. This
relationship is depicted in figure 4.3 on page 50.
5. Does inflation affect KSE index?
35
INFLATION INTEREST RATES
There is a very weak negative correlation between the
inflation level prevalent in the Pakistani economy and the
KSE index. Pearson’s correlation suggests a 36.7% negative
correlation between the above mentioned two variables.
Being a weak correlation it does not deserve too much
attention nevertheless since there is a slight correlation
it is worth mentioning. One possible explanation of this
very weak correlation is that in case of an inflationary
trend the purchasing power of the public’s disposable
income, ceteris paribus, decreases. Inflation also
decreases the amount of investable funds since a greater
amount of the public’s disposable income goes towards the
transactionary use of money rather than towards the
speculative use of money.
This decrease in the amount of money available for
investment use affects all investable avenues e.g. real
estate etc. Investment in the stock exchanges is simple
another use of investable money and it too therefore is
affected by inflationary trends.
6. Do interest rates affect industrial production?
36
INFLATION KSE INDEX
Pearson’s correlation results suggest a negative
correlation between short-term interest rates and
industrial production. The results indicate a 45.5%
negative correlation between the above mentioned two
variables. Once again the negative correlation can be
attributed to interest rates eating away at the demand for
the products of a company. An increase in interest rates
leads to people putting their money in banks and other
financial institutions rather than spending it on
purchasing goods and services. This decreases the amount of
money available to be spent on goods and services and hence
demand for goods suffers across the board. Same is the case
with businesses, they get a greater return keeping their
money in bank deposits rather than investing it in their
businesses or expanding their output capacity etc.
All these factors combine to negatively affect the level of
industrial production in the economy.
INTEREST RATES
INDUSTRIAL PRODUCTION
37
CHAPTER 5
CONCLUSION AND RECOMMENDATIONS
Judging from the results obtained from the regression and
correlation analysis, the following conclusion and
recommendations can be made:
CONCLUSION
The relationship between the KSE index and the various
variables can be summed up as follows:
A highly negative and significant relationship between the
KSE index and the short-term interest rates has been
observed over the course of the past ten years, this
finding is consistent with the findings of (Rozeff,1974) in
which he too observed a strongly negative correlation
between interest rates and the stock market index.
Additionally studies conducted by (Geske & Roll, 1983) also
look into the relationship between interest rates and stock
market activity and find a significant negative
relationship between the two.
Perhaps the greatest amount of research into the
relationship between interest rates and stock market
activity has been undertaken by (Friedman & Schwartz, 1963,
1982). They redirected the attention of the researchers
38
towards interest rates for predicting and understanding the
behavior of stock exchanges. They have come up with the
most convincing evidence, as of yet, that interest rates
most significantly affect stock market activity.
The relationship between industrial production and the
Karachi Stock exchange has been discovered to be
insignificant, this finding is in direct contradiction to
most previous research conducted in advanced economies such
as the US and the UK. It is contrary to (Thornton, 1993)’s
study into the UK market in which he found that stock
returns tend to lead real economic activity. It is also
contrary to (Chang and Pinegar, 1989) and (Chen et al.,
1986) who also concluded that there is a close relationship
between stock market and domestic economic activity.
This result seems to indicate that the Karachi stock
exchange is not efficient in the sense that it does not
reflect the country’s true economic activity but is highly
affected by changes in monetary variables, suggesting
speculative intentions at work.
This result is however consistent with the finding of
(Mallaris and Urrutia, 1991) who studied the linkage among
industrial production, interest rates and the United
States’ S&P 500 Index; their results seem to suggest that
the interrelationships among the three variables are not
statistically significant. The bulk of the studies
conducted however report a significant relationship between
industrial production and stock market activity.
39
The relationship between inflation and the Karachi Stock
Exchange is found to be negative. This result conforms to
previous research conducted by (Fama, 1981) who
investigated the relationships among stock returns, real
economic activity, inflation and money. The results also
conform to studies conducted by (Darat and Mukherjee,
1987), (Naka, Mukherjee & Tufte, 1996) and (Bhattacharya
and Mukherjee, 2002). These studies employed various
regression models and concluded that domestic inflation is
one of the most prominent factors influencing stock market
activity. They also note that an increase in inflation
rates eats into corporate profits, which in turn makes
dividends diminish. When dividends decrease, the expected
return of stocks decrease, causing stocks to depreciate in
value further eroding the stock index.
The relationship between inflation and interest rates is
well documented not only through empirical research but
also by virtue of deep rooted economic theory. The result
obtained from this study also validates these theories.
There seems to be a strong positive correlation between
these two variables for the most obvious reason that money
supply has a direct impact on inflation; and the interest
rate is the single most powerful determinant of money
supply. Furthermore the results obtained are in conformity
with previous research conducted by (Chen et al., 1986) and
(Fama, 1990)
The relationship between inflation and industrial
production appears to be negative. Once again this result
is in unison with previous research findings by (Plosser,
40
1989) which suggest that there is a significant negative
relationship between industrial production and inflation.
The inflation rate is an important element in determining
industrial production due to the fact that during the times
of high inflation, people recognize that the market is in a
state of economic difficulty. People are laid off work,
which causes production to decrease. When people are laid
off, they tend to buy only the essential items. Thus
production is cut even further.
Finally, the relationship between interest rates and
industrial production gives a significant negative outlook.
This result is further reinforced by a previous research
study conducted by (Barro, 1977) which suggest a negative
correlation between the aforementioned variables.
Another convincing study conducted by (Kydland & Prescott,
1990) looks into this very relationship and concludes that
credit considerations, which are directly affected by
interest rates, could play an important role in current and
future industrial activity.
41
RECOMMENDATIONS
Based on the results obtained from the empirical analysis
of key economic variables over the past ten years, the
following recommendations can be suggested:
To recall, the most striking discovery of this
research has been the insignificant relationship
between the Karachi Stock Exchange and the level of
industrial production in the economy. This result
seems to indicate that the Karachi stock exchange is
not efficient in the sense that it does not reflect
the country’s true economic activity but is highly
affected by changes in monetary variables.
The above mentioned fact suggests that the KSE is
moved largely by speculative motives rather than
‘real’ production and performance oriented motives,
policy decisions must be made to prevent this
behavior.
The ratio of blocked to floating shares in Pakistan
must be altered. In Pakistan this ratio is an alarming
80 to 20, i.e. 80% blocked shares in relation to 20%
floating. In comparison the US has on average the
exact opposite ratio of blocked to floating shares,
i.e. 20:80 or 20% blocked in relation to 80% floating.
This can be one of the reasons why the KSE index does
not reflect real economic activity. The staggering
amount of shares blocked reflect concentration of
ownership of KSE shares in the hands of a few,
including large institutional investors and foreign
42
owners etc, whereas the meager amount of floating
shares reflect the share ownership by the general
public. This unhealthy ratio encourages stock market
manipulations by a selected group of individuals and
does not let the index reflect a true picture of the
economy. This tendency must be looked into and policy
decisions be made to change the ratio.
The recent moves made by the Securities and Exchange
Commission of Pakistan (SECP) regarding
demutualization of the KSE are a welcome change and
should be expedited as soon as possible.
The KSE should be converted from a guarantee into a
regular company with share capital and its shares
should be made to float the market just like any other
company. This change along with making the KSE board
accountable to the investor public would also
encourage broader share ownership and prevent
accumulation of majority of shares in the hands of a
select few.
Another way of ensuring that the KSE index reflect the
true performance of the Pakistani economy is to adopt
a share index which is a ‘composite’ of all the shares
listed in the stock exchange rather than an index of
just a few selected shares which are most widely
traded. This move will discourage manipulation of the
index and result in a more realistic appraisal of the
stock market in relation to other markets in the
region and beyond.
43
REFERENCES
Chen N.F., Roll R. and Ross S. (1986) “Economic Forces and the Stock Market”. Journal of Business, Vol 59, No 3, pp 383- 395
Hamao, Y. (1988). “An empirical examination of the arbitrage pricing theory: Using Japanese data”, Japan and the World Economy 1, pp 45-61
Kaneko , T., and Lee, B-S. (1995) “ Relative importance of economic factors in the US and Japanese stock markets”, Journal of the Japanese and International economies 9, pp 290-307.
Kaul, G. (1987) Stock Returns and Inflation: The Role of the Monetary Sector, Journal of Financial economics, 18, 253-276
Kwon, C., Shin, T and Bacon, (1997), “ The Effect of Macroeconomic Variables on Stock Market Returns in Developing Markets”, Multinational Business Review, Fall 97, pp 63-70
Mukherjee, T. and Naka A. (1995), “ Dynamic Relations Between Macroeconomic Variables and the Japanese Stock Market, Journal of Financial Researech. XVIII(2), PP 223-237
Nasseh, A and Strauss, J. (2000), “Stock Prices and Domestic and International Macroeconomic Activity”, The Quarterly Review of Economics and Finance, 40, pp 229-245
Poon, S and Taylor, S.J. (1991), “Macroeconomic factors and the UK stock market”, Journal of Business and Accounting 18, pp 619-636
Andres, J., Mestre, R., Valles, J. 1997. .A Structural Model for the Analysis of the Impact of Monetary Policy on Output and Inflation., in Monetary Policy and the Inflation Process, BIS Conference Papers Vol.4.
44
Hendry, D.F. 1999. Does Money Determine UK Inflation over the Long Run?, Nuffield College, Oxford, UK.
Government of Pakistan, “Economic Survey”, (Various Issues), Islamabad, Ministry of Finance.
Government of Pakistan, “Statistical Year Book of Pakistan”, (Various Issues), Islamabad, Federal Bureau of Statistics.
Barro, Robert J., 1977, Unanticipated money,output and the price level in the United States, Journal of Political Economy, 86, 549-580.
Chen, Nai, 1991, Financial investment opportunities and the macroeconomy, Journal of Finance, 46, 529-554.
Fama, Eugene, 1970, Efficient capital markets: A review of theory and empirical work, Journal of Finance, 383-417.
Fama, Eugene,1981, Stock returns, real activity, inflation, and money, American Economic Review, 71, 545-565.
Fama, Eugene, 1990, Stock returns, expected returns, and real activity, Journal of Finance, 45, 1089-1108.
Fama, Eugene, 1991, Efficient capital markets: II, Journal of Finance, 46, 1575-1617.
Friedman, Milton and Anna Schwart, 1963, Money and business cycles, Review of Economics and Statistics, 45, 32-64.
Friedman, Milton and Anna Schwart, 1982, Monetary trends in the United States and the United Kingdom (University of Chicago Press, Chicago IL).
Geske, R., and Roll R, 1983, The fiscal and monetary linkage between stock returns and inflation, Journal of finance, 38, 1-33
Kydland, Finn E., and Edward C. Prescott, 1990, Business cycles: real facts and a monetray myth, Quarterly Review of the Federal Reserve Bank of Minneapolis, 14, 3-18.
45
Mallaris, A.G. and Urrutia, J.L., 1991, An empirical investigation among real, monetary, and financial variable, Economic Letters, 37, 151-158.
Rozeff, Michael, 1974, Money and stock prices: Market efficiency and the lag in effect of monetary policy, Journal of Financial Economics, 2, 245-302.
Sharpe, William, 1964, Capital asset prices: A theory of capital market equilibrium under conditions of risk, Journal of Finance, 19, 425-442.
Darrat, A.F. and T.K. Mukherjee, 1987, The Behavior of the Stock Market in a Developing Economy, Economics Letters 22, 273-278.
Fama, E.F. and G.W. Schwert, 1977, Asset Returns and Inflation, Journal of Financial Economics 5, 115-146.
Lee, B.S, 1992, Causal Relationships Among Stock Returns, Interest Rates, Real Activity, and Inflation, Journal of Finance, 47, 1591-1603.
Sharma, J.L. and R.E. Kennedy, 1977, A Comparative Analysis of Stock Price Behavior on the Bombay, London, and New York Stock Exchanges, Journal of Financial and Quantitative Analysis 17, 391-413.
Sharma, J.L., 1983, Efficient Capital Markets and Random Character of Stock Price Behavior in a Developing Economy Indian Economic Journal 31, no.2, 53-57.
Friedman, B and K Kuttner, (1992), “Money, Income, Prices and Interest Rates”, American Economic Review, 82, 472-492.
Taylor, J B, (1999), “Monetary Policy Rules”, NBER Conference Report series, Chicago and London: University of Chicago Press, pp ix, 447.
Campbell, John and John Cochrane (1995), .By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior,. NBER Working Paper no. 4995 (January).
Bhattacharya, B., and J. Mukherjee, (2002) The Nature of the Causal Relationship between Stock Market and Macroeconomic Aggregates in India: An Empirical Analysis,
46
Paper Presented in the 4th Annual Conference on Money and Finance, Mumbai.
Campbell, J. Y. and Hamao, Y. (1992), Predictable Stock Returns in the United States and Japan; A Study of Long-term Capital Integration, Journal of Finance, 47, 43-67.
Cheung, Y. W. and Ng, L. K. (1998), international Evidence on the Stock Market and the Aggregate Economic Activity, Journal of Empirical Finance, 5, 281-296.
Cochrane, J. H. (1991), Production-based Asset Pricing and the Link between Stock Return and Economic Fluctuations, Journal of Finance, 46, 209-238.
Naka, A, Mukherjee, T. and Tufte, D. (1999), Macroeconomic Variables and the Performance of the Indian Stock Markets, Financial Management Association meeting, Orlando.
Pethe, A., and Ajit Karnik, (2000), Do Indian Stock Markets Matter?- Stock Market Indices and Macro-economic Variables, Economic and Political Weekly, 35 (5), 349-356
Rao, K. C. and A. Rajeswari, (2000), Macro Economic Factors and Stock Prices in India: A Study, Paper presented in the Capital Markets Conference 2000, Mumbai
47
Correlations, Standardized Multiple Regression Coefficients, Standard errors in
Parenthesis, t values in Brackets, F-statistics and p-values in Italic
Table 4.5
Intercept Interest
rates
Industrial
Production
Inflation R
Square
F
Statistic
KSE-100
Index
1.000
-
(284.287)
[15.310]
.000
-.834
-1.049
(26.938)
[-16.712]
.000
.272
-.097
(.643)
[-1.835]
.069
-.367
.266
(.736)
[4.343]
.000
.751 116.76
.000
The table shows the results in a summarized form
48
Figure 4.1
KSE-100 Index
0500100015002000250030003500400045005000
1994JA
N
OCT
JUL
APL
1997JA
N
OCT
JUL
APL
2000JA
N
OCT
JUL
APL
2003JA
N
OCT
KSE-100
Mean
Figure 4.2
Short term interest rates
0123456789
1994JA
N
SEP
MAY
1996JA
N
SEP
MAY
1998JA
N
SEP
MAY
2000JA
N
SEP
MAY
2002JA
N
SEP
MAY
STI
Mean
49
Figure 4.3
Inflation
0
50
100
150
200
250
300
350
1994JA
N
SEP
MAY
1996JA
N
SEP
MAY
1998JA
N
SEP
MAY
2000JA
N
SEP
MAY
2002JA
N
SEP
MAY
CPI
mean
Figure 4.4
Index of Industrial Production
050100150200250300350400450500
1994JA
N
SEP
MAY
1996JA
N
SEP
MAY
1998JA
N
SEP
MAY
2000JA
N
SEP
MAY
2002JA
N
SEP
MAY
IPI
mean
50
APPENDIX: DATA/OBSERVATIONS
Month INF IPI STI KSE1994JAN 265.58 295.7 6.67 2178.11FEB 268.84 274.3 6.67 2291.18MAR 269.97 276 6.67 2528.16APL 276.72 249.1 6.67 2448.71MAY 275.8 203 6.67 2381.72JUN 278.46 200.1 6.67 2244.04JUL 282.95 195.9 6.73 2319.77AUG 285.59 194.2 6.79 2281.36SEP 289.74 189.8 6.85 2196.65OCT 294.6 198.5 6.91 2324.67NOV 298.74 238 6.97 2157.97DEC 301.29 294.2 7 2143.31995JAN 306.17 317.3 6.95 2078.2FEB 305.77 284.7 6.9 1812.56MAR 308.46 234.5 6.85 1864.19APL 308.72 270 6.8 1711.71MAY 310.08 214 6.75 1532.71JUN 312.28 221.2 6.69 1513.49JUL 160.98 200.9 6.79 1605.89AUG 164.23 204.9 6.83 1801.71SEP 165.7 205.2 6.9 1754.53OCT 165.88 226.6 6.97 1663.87NOV 167.66 267.7 7.04 1547.14DEC 168.78 313 7.08 1416.91996JAN 169.41 298.8 7.11 1464.29FEB 170.6 275.7 7.14 1631.94MAR 172.9 289.9 7.17 1727.98APL 174.3 231.3 7.2 1571MAY 174.95 223.3 7.23 1715.64JUN 175.14 226.6 7.28 1749.66JUL 177.59 213.4 7.3 1653.92AUG 179.9 207.9 7.32 1502.54SEP 181.99 205.9 7.34 1353.67OCT 184.17 221.5 7.36 1397.49NOV 186.4 238.6 7.38 1500.47DEC 188.03 307.2 7.39 1474.211997JAN 192.11 290.5 7.48 1371.29FEB 194.2 264.4 7.59 1588.48MAR 193.33 300.8 7.66 1640.91APL 197.96 227 7.75 1602.68MAY 197.57 206.4 7.84 1541.98JUN 196.95 214.6 7.93 1504.54JUL 198.17 212.4 7.87 1989.51AUG 199.46 210.2 7.81 1762.29SEP 200.72 203.7 7.75 1849.7OCT 201.53 217.7 7.69 1875.01
51
NOV 203.03 241.5 7.63 1772.24DEC 203.26 336.7 7.59 1753.821998JAN 203.15 336.6 7.49 1609.16FEB 203.88 323.1 7.39 1681.83MAR 207.49 334.1 7.29 1553.06APL 208.42 263.1 7.19 1562.22MAY 208.73 220.7 7.09 1040.19JUN 209.71 219.6 7.02 879.61JUL 211.52 216.3 7.17 920.48AUG 213.37 219.3 7.32 970.78SEP 213.61 223 7.47 1111.46OCT 214.66 219.6 7.62 841.7NOV 215.68 243.3 7.77 1050.97DEC 216.19 346.4 7.93 945.241999JAN 215.8 331.8 7.82 900.58FEB 216.61 340 7.71 926.21MAR 217.36 362.2 7.6 1056.75APL 217.94 278 7.49 1107.02MAY 217.78 233 7.38 1222JUN 217.43 236.3 7.28 1054.67JUL 218.77 237.4 7.22 1251.79AUG 220.11 238.5 7.16 1206.51SEP 221.45 239.6 7.1 1199.29OCT 222.8 240.7 7.04 1189.32NOV 222.99 287.4 6.98 1247.4DEC 222.75 367.9 6.95 1408.912000JAN 223.2 325.6 6.89 1772.84FEB 223.16 315.4 6.83 1930.61MAR 225.12 272.2 6.77 1999.69APL 226.39 230.1 6.71 1901.07MAY 226.15 259.9 6.65 1536.65JUN 228.52 246.2 6.62 1520.73JUL 229.81 237.2 6.68 1554.9AUG 229.68 250.18 6.74 1518.27SEP 231.92 263.16 6.8 1564.78OCT 233.24 276.14 6.86 1489.32NOV 235.05 289.1 6.92 1276.05DEC 234 314.7 6.96 1507.592001JAN 233.62 344.3 6.98 1461.6FEB 233.43 382.5 7 1423.18MAR 234.54 361.7 7.02 1324.41APL 235.33 265.9 7.04 1367.05MAY 234.27 284.9 7.06 1377.61JUN 234.29 277 7.06 1366.43JUL 235.51 253.9 6.81 1228.89AUG 237.54 263.3 6.56 1258.43SEP 238.57 265.83 6.31 1133.43OCT 239.22 268.36 6.06 1406.05NOV 103.43 273.4 5.81 1358.16DEC 102.95 344.9 5.56 1273.06
52
2002JAN 103.06 415.1 5.45 1620.18FEB 103.39 349 5.34 1765.95MAR 104.74 380.2 5.23 1868.11APL 105.1 332.4 5.12 1898.95MAY 104.4 294.3 5.01 1663.34JUN 104.9 276.5 4.92 1770.11JUL 106.04 267.6 4.78 1787.59AUG 106.37 274.6 4.64 1974.58SEP 106.57 251.8 4.5 2018.75OCT 106.57 273.8 4.36 2278.54NOV 106.65 316.6 4.22 2285.87DEC 106.39 394.9 4.07 2701.412003JAN 106.56 417.4 3.7 2545.07FEB 107.06 394.3 3.33 2399.14MAR 107.09 454.3 2.96 2715.71APL 107.45 368.5 2.59 2902.41MAY 107.14 289.9 2.22 3099.04JUN 106.92 296.5 1.84 3402.47JUL 107.53 287.6 1.7 3933.37AUG 108.24 301.9 1.56 4461.47SEP 108.89 303.6 1.42 4027.34OCT 110.49 317.4 1.28 3781.03NOV 111.15 289.4 1.14 4068.29DEC 112.2 476 0.99 4471.6
53