Consider the following two scenarios for the economy and the returns in each scenario for the market portfolio, an aggressive stock A, and a defensive stock D.
Rate of Return (%) Scenario
Scenario
Bust: Market -6 / Aggressive Stock A -12 / Defensive Stock D -4
Boom: Market 15 / Aggressive Stock A 36 / Defensive Stock D 10
a) Find the beta of each stock. In what way is stock D defensive?
b) If each scenario is equally likely, find the expected rate of return on the market portfolio and on each stock.
c) If the T-bill rate is 5%, what does the CAPM say about the fair expected rate of return on the two stocks?
d) Which stock seems to be a better buy on the basis of your answers to (a) through (c)?
Stock D is defensive as Beta is lower.
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