If your client chooses to invest $90,000 of her portfolio in your equity fund and $60,000 in a t-bill money market fund. The reward-to-volatility (sharpe) ratio for the equity fund is: 0.2954.
Using this formula to determine the reward-to-volatility (sharpe) ratio for the equity fund
Reward-to-volatility (sharpe) ratio = Portfolio risk premium / Standard Deviation
Where:
Portfolio risk premium = 13%
Standard Deviation = 44%
Let plug in the formula
Reward-to-volatility (sharpe) ratio = 13% / 44%
Reward-to-volatility (sharpe) ratio = 0.2954
Therefore we can conclude that 0.2954 is the sharpe ratio.
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