nswer the following unrelated questions (a&b) regarding risk and return:
a. Based on the following data, compute the Beta for Zebra Corp.:
Month
Market Return(%) Zebra Corp Return(%)
1
3.0
2.6
2
3.0
3.0
3
3.0
6.4
4
-3.0
-6.4
5
-3.0
-2.6
6
-3.0
-3.0
b. The CAPM (Capital Asset Pricing Model) is often used to evaluate the
performance of professional money management. Suppose that
Fraudulent Mutual Fund has a 12-year average annual return of 20%, with
a beta of 2.0. The S&P 500 (market) index grew 16% per year over the
same period, and the average Treasury Bill (risk-free) yield was 5%. The
manager of the fund claims that the reason to buy his fund is that it has
beaten the market by a margin of 4% per year.
Evaluate the manager’s
claim, and should buy the fund?
(Hint: Do you believe that the mutual
2
fund has outperformed the market if the CAPM is valid to represent the
risk-return relationship, i.e. what return would you expect from this fund
given its level of riskiness?)
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