Question
A. You are constructing a portfolio of two assets, Asset A and Asset B. The expected returns of the assets are 13 percent and 16
A.
You are constructing a portfolio of two assets, Asset A and Asset B. The expected returns of the assets are 13 percent and 16 percent, respectively. The standard deviations of the assets are 39 percent and 47 percent, respectively. The correlation between the two assets is .61 and the risk-free rate is 5.3 percent. What is the optimal Sharpe ratio in a portfolio of the two assets? What is the smallest expected loss for this portfolio over the coming year with a probability of 1 percent? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your Sharpe ratio answer to 4 decimal places and the z-score value to 3 decimal places when calculating your answer. Enter your smallest expected loss as a percent rounded to 2 decimal places.)
B.
You have been given the following return information for a mutual fund, the market index, and the risk-free rate. You also know that the return correlation between the fund and the market is .97.
Year | Fund | Market | Risk-Free | |||
2015 | 18.8 | % | 36.5 | % | 1 | % |
2016 | 25.1 | 20.7 | 6 | |||
2017 | 13.6 | 13.0 | 2 | |||
2018 | 7.0 | 8.4 | 6 | |||
2019 | 1.92 | 4.2 | 2 | |||
What are the Sharpe and Treynor ratios for the fund? (Do not round intermediate calculations. Round your answers to 4 decimal places.)
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