The correct answer is A (0.80). According to the CAPM, the expected return of an asset is calculated as:
E(Ri)=Rf+βi(E(Rm)−Rf)
Where:
- E(Ri) is the expected return of the asset (5%).
- Rf is the risk-free rate (1%).
- E(Rm)−Rf is the market risk premium (5%).
- βi is the asset's beta.
Rearranging the formula to solve for βi:
βi=E(Rm)−RfE(Ri)−Rf=5%5%−1%=5%4%=0.80
Option B (1.00) is incorrect because it omits subtracting the risk-free rate in the numerator, leading to βi=5%5%=1.00.
Option C (1.25) is incorrect because it inverts the formula, resulting in βi=4%5%=1.25. This error arises from misapplying the CAPM formula.