An Empirical and Theoretical Analysis of Capital Asset Pricing Model

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Universal-Publishers, Nov 18, 2010
The problem addressed in this dissertation research was the inability of the single-factor capital asset pricing model (CAPM) to identify relevant risk factors that investors consider in forming their return expectations for investing in individual stocks. Identifying the appropriate risk factors is important for investment decision making and is pertinent to the formation of stocks' prices in the stock market. Therefore, the purpose of this study was to examine theoretical and empirical validity of the CAPM and to develop and test a multifactor model to address and resolve the empirical shortcomings of the single-factor CAPM. To verify the empirical validity of the standard CAPM and of the multifactor model, five hypotheses were developed and tested against historical monthly data for U.S. public companies. Testing the CAPM hypothesis revealed that the explanatory power of the overall stock market rate of return in explaining individual stock's expected rates of return is very weak, suggesting the existence of other risk factors. Testing of the other hypotheses verified that the implied volatility of the overall market as a systematic risk factor and the companies' size and financial leverage as nonsystematic risk factors are important in determining stock's expected returns and investors should consider these factors in their investment decisions. The findings of this research have important implications for social change. The outcome of this study can change the way individual and institutional investors as well as corporations make investment decisions and thus change the equilibrium prices in the stock market. These changes in turn could lead to significant changes in the resource allocation in the economy, in the economy's production capacity and production composition, and in the employment structure of the society.
 

Contents

Nature of the Study
6
Assumptions
13
The Significance of the Study
22
Capital Asset Pricing Model CAPM
42
Linters Results for Test of the CAPM
72
BJS Results for Test of the CAPM
75
Fama and MacBeth Results for Test of the CAPM
77
The Arbitrage Pricing Theory
80
Statistical Significance of Regression Coefficients
111
Percentage Distribution of R Square Values
112
Stocks Average Monthly Returns versus their Betas and Nonsystematic Risks Partial
113
Stocks Average Expected Monthly Returns versus Systematic and Nonsystematic Risks
114
Second Part
115
Total Assets Market Value Measurement for Hewlett Packard Company HPQ
118
Average Monthly Rates of Return of Stocks of Small Companies versus Large Companies
119
Results of the Z Test for Comparing Small and Large Companies Average Returns
120

METHODOLOGY AND RESEARCH DESIGN
86
Regression Statistics for GM Risk Premium against SP 500 Index Risk Premium
92
Regression Statistics for BAC Risk Premium against SP500 Index Risk Premium
93
Data Collection
94
Data Analysis
95
Summary
103
Time Series Data on Monthly Excess Returns of Merck Companys Stock and Monthly Excess Returns of SP500 Stock Index January 1995 to Decem...
109
MRK Monthly Excess Returns versus SP 500 Monthly Excess Returns
110
Financial Leverage Measurement for Hewlett Packard Company HPQ
122
Average Monthly Rates of Return of Stocks of Low Financial Leverage
123
Time Series Data on Monthly Excess Returns of Yahoo Corporations Stock
136
Summary
148
SUMMARY CONCLUSIONS AND RECOMMENDATIONS
154
Implications for Social Change
161
CURRICULUM VITAE
168
Copyright

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