Problem 18-04 Consider the following historical performance data for two different portfolios, the Standard and...
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Problem 18-04 Consider the following historical performance data for two different portfolios, the Standard and Poor's 500, and the 90-day T-bill. Investment Average Rate of Standard Vehicle Return Deviation Beta R Fund 1 25.80% 21.07% 1.344 0.765 Fund 2 14.22 13.50 0.857 0.702 S&P 500 16.70 12.75 90-day T-bill 6.50 0.50 a. Calculate the Fama overall performance measure for both funds. Round your answers to two decimal places. Overall performance (Fund 1): % Overall performance (Fund 2): % b. What is the return to risk for both funds? Do not round intermediate calculations. Round your answers to two decimal places. Return to risk (Fund 1): % Return to risk (Fund 2): % c. For both funds, compute the measures of (1) selectivity, (2) diversification, and (3) net selectivity. Do not round intermediate calculations. Round your answers to two decimal places. Use a minus sign to enter negative values, if any. Selectivity Diversification Net selectivity % % Fund 1 Fund 2 % % % % d. Explain the meaning of the net selectivity measure and how it helps you evaluate investor performance. Which fund had the best performance? The net selectivity is an unexplained portion of the excess return reduced by the cost of incomplete diversification. The higher the net selectivity the better investor performance is. Fund 1 had the best performance. Problem 18-04 Consider the following historical performance data for two different portfolios, the Standard and Poor's 500, and the 90-day T-bill. Investment Average Rate of Standard Vehicle Return Deviation Beta R Fund 1 25.80% 21.07% 1.344 0.765 Fund 2 14.22 13.50 0.857 0.702 S&P 500 16.70 12.75 90-day T-bill 6.50 0.50 a. Calculate the Fama overall performance measure for both funds. Round your answers to two decimal places. Overall performance (Fund 1): % Overall performance (Fund 2): % b. What is the return to risk for both funds? Do not round intermediate calculations. Round your answers to two decimal places. Return to risk (Fund 1): % Return to risk (Fund 2): % c. For both funds, compute the measures of (1) selectivity, (2) diversification, and (3) net selectivity. Do not round intermediate calculations. Round your answers to two decimal places. Use a minus sign to enter negative values, if any. Selectivity Diversification Net selectivity % % Fund 1 Fund 2 % % % % d. Explain the meaning of the net selectivity measure and how it helps you evaluate investor performance. Which fund had the best performance? The net selectivity is an unexplained portion of the excess return reduced by the cost of incomplete diversification. The higher the net selectivity the better investor performance is. Fund 1 had the best performance
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