Historical nominal returns for Coca-Cola have been 8% and -20%. The nominal returns for the market index S&P500 over the same periods were -15% and 28%. Calculate the beta for Coca-cola.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 15P
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a) Historical nominal returns for Coca-Cola have been 8% and -20%. The nominal returns for the market index S&P500 over the same periods were -15% and 28%. Calculate the beta for Coca-cola.

 

b) Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B (B). 

c) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to pay returns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standard deviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also has standard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whether asset A and B are overvalued or undervalued, and explain why. 

(Hint: Beta of asset i (??) = ????? , where ??,?? are standard deviations of asset i and market ??

portfolio, ??? is the correlation between asset i and the market portfolio)

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