PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Textbook Question
Chapter 7, Problem 9PS
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
During the boom years of 2010-2014, ace mutual fund manager Diana Sauros produced the following percentage rates of return. Rates
of return on the market are given for comparison.
Ms. Sauros
S&P 500
2010
+24.9
+17.2
2011 2012 2013 2014
-0.9 +18.6 +42.1 +15.2
+1.0 +16.1 +33.1 +12.7
a. Calculate the average return and standard deviation of Ms. Sauros's mutual fund. (Use decimals, not percents, In your calculations.
Do not round Intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)
Answer is complete but not entirely correct.
Average rate of return
Standard deviation
19.98 %
10.00 %
Chapter 7 Solutions
PRIN.OF CORPORATE FINANCE
Ch. 7 - Rate of return The level of the Syldavia market...Ch. 7 - Real versus nominal returns The Costaguana stock...Ch. 7 - Arithmetic average and compound returns Integrated...Ch. 7 - Risk premiums Here are inflation rates and U.S....Ch. 7 - Risk Premium Suppose that in year 2030, investors...Ch. 7 - Stocks vs. bonds Each of the following statements...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 - Prob. 10PS
Ch. 7 - Prob. 11PSCh. 7 - Diversification Here are the percentage returns on...Ch. 7 - Risk and diversification In which of the following...Ch. 7 - Prob. 14PSCh. 7 - Portfolio risk To calculate the variance of a...Ch. 7 - Portfolio risk a) How many variance terms and how...Ch. 7 - Portfolio risk Table 7.8 shows standard deviations...Ch. 7 - Portfolio risk Hyacinth Macaw invests 60% of her...Ch. 7 - Stock betas What is the beta of each of the stocks...Ch. 7 - Stock betas There are few, if any, real companies...Ch. 7 - Portfolio betas A portfolio contains equal...Ch. 7 - Portfolio betas Suppose the standard deviation of...Ch. 7 - Portfolio risk Here are some historical data on...Ch. 7 - Portfolio risk Suppose that Treasury bills offer a...
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- 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. 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_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 -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_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 -1.2 -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_forwardYou 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_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
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