The following data is reported for a fund and an appropriate benchmark as well as the risk-free rate each year: Fund Return Benchmark Return 22% 23% 25% Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Year 8 Year 9 Year 10 28% 28% 29% 20% 18% 15% 13% 19% 20% 22% 23% 22% 22% 18% 16% 13% 12% Risk-free rate 2% 2% 2% 2% 2% 2% 2% 2% 2% 2% Required: a. What is the Sharpe ratio for the fund and the benchmark? b. What is the Treynor ratio for the fund and the benchmark? c. What is the fund tracking error? d. What is the beta for the fund? e. What is Jensen's alpha for the fund?

The following data is reported for a fund and an appropriate benchmark as well as the risk-free rate each year: Fund Return Benchmark Return 22% 23% 25% Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Year 8 Year 9 Year 10 28% 28% 29% 20% 18% 15% 13% 19% 20% 22% 23% 22% 22% 18% 16% 13% 12% Risk-free rate 2% 2% 2% 2% 2% 2% 2% 2% 2% 2% Required: a. What is the Sharpe ratio for the fund and the benchmark? b. What is the Treynor ratio for the fund and the benchmark? c. What is the fund tracking error? d. What is the beta for the fund? e. What is Jensen's alpha for the fund?

Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)

7th Edition

ISBN:9780357033609

Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk

Publisher:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk

Chapter13: Investing In Mutual Funds, Etfs, And Real Estate

Section: Chapter Questions

Problem 2FPE

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The following data is reported for a fund and an appropriate benchmark as well as the risk-free rate each year: Fund Return Benchmark Return Risk-free rate Year 1 22% 19% 2% Year 2 23% 20% 2% Year 3 25% 22% 2% Year 4 28% 23% 2% Year 5 28% 22% 2% Year 6 29% 22% 2% Year 7 20% 18% 2% Year 8 18% 16% 2% Year 9 15% 13% 2% Year 10 13% 12% 2% Required: a. What is the Sharpe ratio for the fund and the benchmark? b. What is the Treynor ratio for the fund and the benchmark? c. What is the fund tracking error? d. What is the beta for the fund? e. What is Jensen’s alpha for the fund?
The following data is reported for a fund and an appropriate benchmark as well as the risk-free rate each year: Fund Return Benchmark Return Risk-free rate Year 1 22% 19% 2% Year 2 23% 20% 2% Year 3 25% 22% 2% Year 4 28% 23% 2% Year 5 28% 22% 2% Year 6 29% 22% 2% Year 7 20% 18% 2% Year 8 18% 16% 2% Year 9 15% 13% 2% Year 10 13% 12% 2% Do not round intermidete calucations Required: a. What is the Sharpe ratio for the fund and the benchmark? b. What is the Treynor ratio for the fund and the benchmark? c. What is the fund tracking error? d. What is the beta for the fund? e. What is Jensen’s alpha for the fund?
B1.
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7.
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questions to be answered
(10 POINTS) Consider the following funds whose expected returns and volatilities are given in the following table: \table [[Type of fund, Er,, o,, management fee (f) 5. (10 POINTS) Consider the following funds whose expected returns and volatilities are given in the following table: Type of fund Bio tech fund (B) Er σi management fee (f) .40 .60 .04 Critical minerals fund (C) .26 .40 .03 Market portfolio (M) .18 .24 0 where the management fee (f) is the percentage fee for holding the fund. The risk-free rate is 0.04.Is this situation compatible with the CAPM? Justify your answer.
The average return, standard deviation, and beta for Fund A is given below along with data for the S&P 500 Index. Fund Average Return Standard Deviation Beta A 14% 28.5% 1.7 S&P 500 17.6% 19.4% 1 Risk-free 4.8% Calculate the Treynor measure of performance for Fund A. Convert percentages to decimal places before calculating your answer. ENTER your answer using FOUR DECIMAL places. Example: 0.1234