ou manage an equity fund with an expected risk premium of 10% and a standard deviation of 14%. The rate on Treasury bills is 6%. Your client chooses to invest $60,000 of her portfolio in your equity fund and $40,000 in a T-bill money market fund. What is the reward-to-volatility (Sharpe) ratio for the equity fund

Reward to volatility ratio = 0.71

Explanation:

Given the expected risk premium = 10%

Standard deviation = 14%

The rate on treasury bills = 6%

The investment amount  that the client chooses to invest  = $60000

Expected return of equity = the expected risk premium  + The rate on treasury bills

Expected return of equity = 10% + 6% = 16%

Standard deviatin = 14%

Reward to volatility ratio = (expected return - risk free rate) /standard deviation

Reward to voltality ratio = (16% -6%)/14%

Reward to voltality ratio = 0.71

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