Concept explainers
Beta is often estimated by linear regression. A model commonly used is called the market model, which is:
In this regression, Rt is the return on the stock and Rft is the risk-free rate for the same period. RMt is the return on a stock market index such as the S&P 500 index. αi is the regression intercept, and βi is the slope (and the stock’s estimated beta). εt represents the residuals for the regression. What do you think is the motivation for this particular regression? The intercept, αi, is often called Jensen’s alpha. What does it measure? If an asset has a positive Jensen’s alpha, where would it plot with respect to the SML? What is the financial interpretation of the residuals in the regression?
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Fundamentals of Corporate Finance
- Consider the following regression Pt * - Pt = .07(1.4) + .4*Pt (3.6) + et where Pt * is Shiller’s ex post price of a stock, Pt is the actual price and t-ratios are in brackets. Explain in words and analytically what the dependent variable Pt * - Pt should be equal to under the efficient markets theory. Hence interpret the regression. Does it support the efficient markets theory?arrow_forwardWhen working with the CAPM, which of the following factors can be determined with the most precision? a. The beta coefficient of "the market," which is the same as the beta of an average stock. b. The beta coefficient, bi, of a relatively safe stock. c. The market risk premium (RPM). d. The most appropriate risk-free rate, rRF. e. The expected rate of return on the market, rM.arrow_forwardThe slope of a regression line when the return on an individual stock's returns are regressed on the return on the market portfolio, would be: OAR BR-₁ B OC none of the answers listed here. ODO imarrow_forward
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