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What is the beta of a certain stock with a risk-free rate of 2.1% and a return of 14.2%, given that the expected return of the market is 17%?
A
1
B
1.5
C
1.2
D
0.81
Explanation:
The expected return on the stock is given by the Capital Asset Pricing Model (CAPM) formula:
Where:
Substituting the values:
14.2`% = 2.1% + \beta(17% - 2.1%)$$
14.2`% = 2.1% + \beta(14.9%)$$
14.2`% - 2.1% = \beta(14.9%)$$
12.1`% = \beta(14.9%)$$
The beta of 0.81 indicates that the stock is less volatile than the market, as a beta less than 1 suggests the stock moves less than the market.