5.1 INTRODUCTION In order to prove the validity of CAPM model in Indian Stock Market Fama and

Fama and French’s three factor model attempts to explain the variation of stock prices through a multifactor model that includes a size factor and BE/ME factor in addition to the beta risk factor. Fama-French model essentially extended the CAPM (which breaks up cause of variation of stock price into systematic risk which is non-diversifiable and idiosyncratic risk which is diversifiable) by introducing these two additional factors. Fama and French find that stocks with high beta didn’t have consistently higher returns than stocks with low beta and this indicates that beta was not a useful measure under their model. Their model is based on research findings that sensitivity of movements of the size and BE/ME factor constituted risk, and

This was a simulation project related to application of different tools of portfolio management. The project was applied by using stocktrak.com platform. This website provides the students and teachers with a real time simulation platform for learning the portfolio investment. A specific allocated amount was used in this simulation project for portfolio investment. A portfolio was created of different securities like stocks, bonds and currencies. These bonds and securities were from different sectors of economy like technology industry, financial industry, consumer goods industry, services industry, health industry, industrial goods industry, utilities industry, and basic materials industry. The top performing stocks in this simulation project were Bank of America Corporation, Hersha Hospitality trust, Deans Food Company, Loews Corporation, and Pepsi Co Inc. The study also found that the percentage return on portfolio remained above the return realized on Dow Jones ETF during the timeline of the project.

(1) What is a beta coefficient, and how are betas used in risk analysis? (2) Do the expected returns appear to be related to each alternative’s market risk? (3) Is it possible to choose among the alternatives on the basis of the information developed thus far? Use the data given at the beginning of the problem to construct a graph that shows how the T-bill’s, High Tech’s, and Collections’ beta coefficients are calculated. Discuss what beta measures and explain how it is used in risk analysis.

9. (10 points) You are provided with the following monthly expected returns, each of which is represented by E(Ri), and betas for the following stocks. Please estimate the capital asset pricing model and draw conclusions about the significance and realism of the results. (Note: Please use conventional tests of the R-squared and coefficients.) On the basis of your results, please name at least three of the stocks that you would recommend as “buys.”

The CAPM is a single factor model because it based on the hypothesis that required rate of return can be predicted using one factor that being systematic risk. It looks at risk and rates of returns, compares then to the stock market providing a usable measure of risk to help investors determine what return they will get for risking their money in an investment. There are a lot of assumptions and drawbacks of CAPM that lead to the conclusion that those investors utilizing this

CAPM results can be compared to the best expected rate of return that investor can possibly earn in other investments with similar risks, which is the cost of capital. Under the CAPM, the market portfolio is a well-diversified, efficient portfolio representing the non-diversifiable risk in the economy. Therefore, investments have similar risk if they have the same sensitivity to market risk, as measured by their beta with the market portfolio.

‘The Capital asset pricing model (CAPM) is a very useful model and it is used widely in the industry even though it is based on very strong assumptions. Discuss in the light of recent developments in the area.’

By using the company return and the Value Weighted Returns of the Market, we derived the companies’ levered equity betas and then unlevered them.

The historic average returns from 1950 to 1996 and from 1929 to 1996 are given In Exhibit 3. We chose the latter time period as we considered it would give us a more reliable estimate of the risk-free rate by discounting both the Second World War and the Great Depression. It is necessary to evaluate the expected length of the project and utilize a risk free rate applicable for the same time period. Ameritrade is investing $100 million dollars in technology, which is considered a long-term investment, in order to become the largest brokerage firm. We consider their

To reduce a firm’s specific risk or residual risk a portfolio should have negative covariance or rather it should have no variance at all, for large portfolios however calculating variance requires greater and sophisticated computing power. As such, Index models greatly decrease the computations needed to calculate the optimum portfolio. The use of such Index models also eliminates illogical or rather absurd results. The Single Index model (SIM) and the Capital Asset Pricing Model (CAPM) are such models used to calculate the optimum portfolio.

In order to test the validity of the CAPM, we have applied the two-step testing procedure for asset pricing model as proposed by Fama and Macbeth (1973) in their seminal paper.

1b. if you used the CAPM, which risk premium and risk free rate did you use? Why?

As indicated by the case study S&P 500 index was use as a measure of the total return for the stock market. Our standard deviation of the total return was used as a one measure of the risk of an individual stock. Also betas for individual stocks are determined by simple linear regression. The variables were: total return for the stock as the dependent variable and independent variable is the total return for the stock. Since the descriptive statistics were a lot, only the necessary data was selected (below table.)

Using CAPM: Risk Free Rate = 6%; Market Risk Premium = 5%; Beta = 1.2

The analysis of this paper will derive the validity of the Fama and French (FF) model and the efficiency of the Capital Asset Pricing Model (CAPM). The comparison of the Fama and French Model and CAPM (Sharpe, 1964 & Lintner, 1965) uses real time data of stock market to practise its efficacy. The implication of the function in realistic conditions would justify the utility of the CAPM theory. The theory suggests that the expected return demanded by investors on a risky asset depends on the risk-free rate of interest, the expected return on the market portfolio, the variance of the return on the market portfolio, and