Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 7, Problem 3PS
Average returns and standard deviation During the boom years of 2010–2014, ace mutual fund manager Diana Sauros produced the following percentage
Calculate the average return and standard deviation of Ms. Sauros’s mutual fund. Did she do better or worse than the market by these measures?
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In a recent 5tear period, mutual fund manager Diana sharks produced the following percentage rates of return for the Mesozoic fund. Rates of return on the market index are given for comparison.
A. Calculate the average return on both the fund and the index and the standard deviation of the returns on each. Did Ms. Sauros do better or worse than the market index on these measures?
You have been given the following return information for a mutual fund, the mark
return correlation between the fund and the market is 0.97.
Market
Risk-Free
Fund
Year
2011
-20.6%
-39.5%
1%
2012
25.1
21.0
3
13.9
2013
13.9
2014
7.6
8.8
4
2015
-2.1
-5.2
What are the Sharpe and Treynor ratios for the fund? (Do not round intermediate
places.)
Sharpe ratio
Treynor ratio
Investments are made to earn a return, but making investments requires the individual to bear risk. A higher return by itself does not necessarily indicate superior performance. It may simply be the result of taking more risk. Given this context, answer the following two-part questions.
A mutual fund generates a 10.8 percent return. During the same period, the market rose by 8.8 percent. If the risk-free rate was 2 percent and the fund had a beta of 1.2 :
Did the fund outperform the market? Explain your response.
Chapter 7 Solutions
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 7 - Expected return and standard deviation A game of...Ch. 7 - Standard deviation of returns The following table...Ch. 7 - Average returns and standard deviation During the...Ch. 7 - Portfolio risk True or false? a. Investors prefer...Ch. 7 - Risk and diversification In which of the following...Ch. 7 - Portfolio risk To calculate the variance of a...Ch. 7 - Portfolio betas Suppose the standard deviation of...Ch. 7 - Portfolio betas A portfolio contains equal...Ch. 7 - Prob. 9PSCh. 7 - Prob. 10PS
Ch. 7 - Stocks vs. bonds Each of the following statements...Ch. 7 - Prob. 12PSCh. 7 - Prob. 13PSCh. 7 - Portfolio risk Hyacinth Macaw invests 60% of her...Ch. 7 - Portfolio risk a) How many variance terms and how...Ch. 7 - Portfolio risk Table 7.9 shows standard deviations...Ch. 7 - Portfolio risk Your eccentric Aunt Claudia has...Ch. 7 - Stock betas There are few, if any, real companies...Ch. 7 - Portfolio risk You can form a portfolio of two...Ch. 7 - Portfolio risk Here are some historical data on...Ch. 7 - Portfolio risk Suppose that Treasury bills offer a...Ch. 7 - Beta Calculate the beta of each of the stocks in...
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- In the chapter opener, you learned that Bill Miller's investment performance was alternating between the very top and the very bottom of his profession. What aspect of his investment strategy would lead you to expect that his performance might exhibit greater volatility than that of other mutual funds? The following table shows the annual performance from 2009 to 2012 of Miller's Opportunity fund and the S&P 500 index. Opportunity Year 2009 2010 2011 2012 S&P 500 Fund Return 76.0% 16.6% -34.9% 39.6% Return 26.5% 15.1% 2.11% 16.0% Calculate the average annual return of the Opportunity fund and the S&P 500. Which performed better over this period? If you had invested $1,000 in each in- vestment at the beginning of 2009, how much money would you have in each investment at the end of 2012? Calculate the standard deviation of the Opportu- nity fund's return and those of the S&P 500. Which is more volatile?arrow_forwardYou 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 0.97. Year 2011 2012 2013 2014 2015 Fund -15.2% 25.1 12.4 6.2 -1.2 Sharpe ratio Market -24.5% 19.5 9.4 7.6 -2.2 What are the Sharpe and Treynor ratios for the fund? (Do not round intermediate calculations. Round your answers to 4 decimal places.) Treynor ratio X Answer is complete but not entirely correct. Risk-Free 1% 3 2 4 2 0.2273 x 3.4773 Xarrow_forwardYou 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 0.97. Fund Market Risk-Free Year 2011 -21.84 -41.58 38 2012 2013 2014 25.1 21.2 4 14.1 14.5 2 6.4 8.8 -5.2 4 2015 -2.22 3 What are the Sharpe and Treynor ratios for the fund? (Do not round intermediate calculations. Round your answers to 4 decimal places.) Sharpe ratio Treynor ratioarrow_forward
- In a recent 5-year period, mutual fund manager Diana Sauros produced the following percentage rates of return for the Mesozoic Fund. Rates of return on the market index are given for comparison. Fund Market index 1 -1.2 -0.9 2 +24.8 +16.0 a. Average return a. Standard deviation b. Did Ms. Sauros do better or worse than the market index on these measures? +40.7 +31.7 4 +11.1 +10.9 a. Calculate (a) the average return on both the Fund and the index, and (b) the standard deviation of the returns on each. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. b. Did Ms. Sauros do better or worse than the market index on these measures? Mesozoic Fund Return Market Portfolio. Return +0.3 -0.7 11.40arrow_forwardFund F has been investing in stocks and bonds. You are evaluating the performance of Fund F by comparing its performance with the performance of an appropriate benchmark portfolio B. The performance and weights of F and B over the last year are given in the table below: Asset Class Weight in F Weight in B 0.6 Stocks 0.5 Bonds 0.5 Attribute the performance of Fund F against benchmark portfolio B in the stock class. What is the attribution due to the asset allocation in the stock class? What is the attribution due to the security selection in the stock class? 0.4 Return from F O a. -0.005, -0.008 O b. 0.003; 0.004 O c. 0.012, 0.008 O d. 0.008; 0.012 10% Return from B 3% 8% 5%arrow_forwardBhaghiarrow_forward
- You have been given the following return information for two mutual funds (Papa and Mama), the market index, and the risk-free rate. Year Papa Fund Mama Fund Market Risk-Free 2011 –12.6 % –22.6 % –24.5 % 1 % 2012 25.4 18.5 19.5 3 2013 8.5 9.2 9.4 2 2014 15.5 8.5 7.6 4 2015 2.6 –1.2 –2.2 2 Calculate the Sharpe ratio, Treynor ratio, Jensen’s alpha, information ratio, and R-squared for both funds. (Input all amounts as positive values. Do not round intermediate calculations. Enter all answers as a decimal value rounded to 4 decimal places.) PAPA MAMA SHARPE RATIO: TREYNOR RATIO JENSEN'S ALPHA INFORMATION RATIO R-SQUAREDarrow_forwardIn a recent 5-year period, mutual fund manager Diana Sauros produced the following percentage rates of return for the Mesozoic Fund. Rates of return on the market index are given for comparison. Fund Market index -1.2 -0.9 2 +24.8 +16.0 a. Average retur a. Standard deviation b. Did Ms. Sauros do better or worse than the market index on these measures? 3 +40.7 +31.7 a. Calculate (a) the average return on both the Fund and the index, and (b) the standard deviation of the returns on each. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. b. Did Ms. Sauros do better or worse than the market index on these measures? Answer is complete but not entirely correct. Mesozoic Fund Return Better +11.1 +10.9 19.23 15.14 x Market Portfolio Return 19.53 +0.3 -0.7 8.85 xarrow_forwardRank the following funds based on Sharpe Ratio, Treynor Ratio, Jensen’s Alpha, Sortino Ratio, M squared. Explain the difference in ranking of the funds if any as per various measures. Compare each of the fund with the benchmark index and explain the better or poor performance of the funds. The average return on the risk-free securities is 6% during the period of measurement. Mutual Fund Return (%) Total Standard Deviation (%) Downside Standard Deviation (%) Correlation with market Contra Fund 25 15 12 0.65 Equity Minimum Variance Fund 28 18 15 0.75 Focused Equity Fund 21 15 13 0.72 Midcap Fund 30 17 16 0.68 Benchmark Index 27 16 14arrow_forward
- 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 0.97. 1ITT Market Risk-Free Year Fund 2011 -21.8% -41.5% 3% 2012 25.1 21.2 4 14.1 2013 14.5 8.8 2014 6.4 4 -2.22 2015 -5.2 What are the Sharpe and Treynor ratios for the fund? (Do not round intermediate calculations. Round your answers to 4 decimal places.) Sharpe ratio Treynor ratioarrow_forward"The following table gives the rate of return for a certain mutual fund from 2010 to 2014: Year Rate of Return 2010 -5.9% 2011 11.4% 2012 1.4% 2013 12.7% 2014 6.5% Compute the overall rate of return during this period. Round your answer to the nearest tenth of a percent."arrow_forwardYou 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 0.97. Year 2011 2012 2013 2014 2015 Fund -15.2% 25.1 12.4 6.2 -1.2 Market -24.5% 19.5 Jensen's alpha Information ratio 9.4 7.6 -2.2 Calculate Jensen's alpha for the fund, as well as its information ratio. (Do not round intermediate calculations. Enter the alpha as a percent rounded to 2 decimal places. Round the ratio to 4 decimal places.) Risk-Free 1% 3 2 4 2 %arrow_forward
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