1.Stock A has a beta of 0.50 and Stock B has a beta of 1.25. Suppose rf is 4% and Rm is 10%.
a.Applying the security market line, determine the expected return for Stocks A and B.
b.What is the expected return of an equally weighted portfolio of these two stocks?
1) | |||||||||
a. | As per Capital asset Pricing model, | ||||||||
Expected return for Stock A | = | rf | + | beta | * | (Rm-rf) | |||
= | 4% | + | 0.50 | * | (10%-4%) | ||||
= | 7.00% | ||||||||
Expected return for Stock B | = | rf | + | beta | * | Rm | |||
= | 4% | + | 1.25 | * | (10%-4%) | ||||
= | 11.50% | ||||||||
b. | Expected return of portfolio | 9.25% | |||||||
Working: | Weight | Return | |||||||
a | b | a*b | |||||||
Stock A | 0.5 | 7.00% | 3.50% | ||||||
Stock B | 0.5 | 11.50% | 5.75% | ||||||
Total | 9.25% | ||||||||
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