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.
Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
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.
c) Assume that using the Security Market Line (SML) the required
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 (betaA) to beta of B
(betaB).
d) 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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