Question: Please help me understand how to solve these questions. Suppose you invest $25,000 in an S&P 500 index fund (S&P fund) and $15,000 in a

Please help me understand how to solve these questions.

Suppose you invest $25,000 in an S&P 500 index fund (S&P fund) and $15,000 in a total bond market fund (Bond fund). The expected returns of the S&P and bond funds are 8% and 4%, respectively. The standard deviations of the S&P and bond funds are 18% and 7% respectively. The correlation between the two funds is 0.40. The risk-free rate is 2%.

What is the expected return on your portfolio?

What is the standard deviation on your portfolio?

What are the Sharpe Ratios for your portfolio and the S&P fund?

Why is it not surprising that your portfolio has a higher Sharpe ratio than either the S&P fund or bond fund?

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