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Regression analysis can be used to test whether the market efficiently uses information in valuing stocks. For concreteness, let return be the total return from holding a firm's stock over the four- year period from the end of 1990 to the end of 1994. The efficient markets hypothesis says that these returns should not be systematically related to information known in 1990. If firm characteristics known at the beginning of the period help to predict stock returns, then we could use this information in choosing stocks. 1

Regression analysis can be used to test whether the market efficiently uses information in valuing stocks. For concreteness, let return be the total return from holding a firm's stock over the four- year period from the end of 1990 to the end of 1994. The efficient markets hypothesis says that these returns should not be systematically related to information known in 1990. If firm characteristics known at the beginning of the period help to predict stock returns, then we could use this information in choosing stocks. 1

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Regression analysis can be used to test whether the market efficiently uses information in valuing stocks. For concreteness, let return be the total return from holding a firm's stock over the four- year period from the end of 1990 to the end of 1994. The efficient markets hypothesis says that these returns should not be systematically related to information known in 1990. If firm characteristics known at the beginning of the period help to predict stock returns, then we could use this information in choosing stocks. 1 For 1990, let dkr be a firm's debt to capital ratio, let eps denote the earnings per share, let netinc denote net income, and let salary denote total compensation for the CEO. 1. Using relevant data, the following equation was estimated: return = -14.37 + .321dkr + .043eps – .0051etinc + .0035salary (6.89) (.201) (.078) (.0047) (.0022) n = 142 R2 = .0395 Test whether the explanatory variables are jointly significant at the 5% level. Is any explanatory variable individually significant at the 5% significance level? 2. Now, reestimate the model using the log of netinc and salary: return = -36.30 + .327dkr + .069eps – 4.74log(netinc) + 7.24log(salary) (.080) (39.37) (.203) (3.39) (6.31) n = 142 R2 = .0330 Do any of your conclusions from part (1.) change? 3. In this sample, some firms have zero debt and others have negative earnings. Should we try to use log(dkr) or log(eps) in the model to see if these improve the fit? Explain. 4. Overall, is the evidence for predictability of stock returns strong or weak?
Transcribed Image Text:Regression analysis can be used to test whether the market efficiently uses information in valuing stocks. For concreteness, let return be the total return from holding a firm's stock over the four- year period from the end of 1990 to the end of 1994. The efficient markets hypothesis says that these returns should not be systematically related to information known in 1990. If firm characteristics known at the beginning of the period help to predict stock returns, then we could use this information in choosing stocks. 1 For 1990, let dkr be a firm's debt to capital ratio, let eps denote the earnings per share, let netinc denote net income, and let salary denote total compensation for the CEO. 1. Using relevant data, the following equation was estimated: return = -14.37 + .321dkr + .043eps – .0051etinc + .0035salary (6.89) (.201) (.078) (.0047) (.0022) n = 142 R2 = .0395 Test whether the explanatory variables are jointly significant at the 5% level. Is any explanatory variable individually significant at the 5% significance level? 2. Now, reestimate the model using the log of netinc and salary: return = -36.30 + .327dkr + .069eps – 4.74log(netinc) + 7.24log(salary) (.080) (39.37) (.203) (3.39) (6.31) n = 142 R2 = .0330 Do any of your conclusions from part (1.) change? 3. In this sample, some firms have zero debt and others have negative earnings. Should we try to use log(dkr) or log(eps) in the model to see if these improve the fit? Explain. 4. Overall, is the evidence for predictability of stock returns strong or weak?
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