INVESTEMENTS (LL) W/CONNECT <CUSTOM>
11th Edition
ISBN: 9781264263554
Author: Bodie
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 24, Problem 6CP
A
Summary Introduction
To calculate: The sharpe measures and treynor ratio for portfolio X and S&P 500. And explain the X portfolio performance using treynor measure and the sharpe ratio.
Introduction: Sharpe ratio tells about the risk premium with respect to the total risk of the market. Treynor ratio is defined as the risk premium and risk premium is difference of risk rate and return.
A
Expert Solution
Answer to Problem 6CP
The value of Sharpe ratio is 0.222 and 0.462 and Treynor ratio is 6.67 and 6.
Explanation of Solution
The Sharpe ratio of the X portfolio and S&P 500 is calculated below,
Treynor ratio for X portfolio and S&P 500 is calculated below,
B
Summary Introduction
To explain: The Risk management in both portfolios and the reason for the result when using treynor measure versus the sharpe ratio.
Introduction: The risk taking of any portfolio is decided by the value of beta and standard deviation. For low value of beta means low risk in the market.
B
Expert Solution
Answer to Problem 6CP
Portfolio X has low risk as the low beta value.
Explanation of Solution
The risk of portfolios is decided by the value of beta and standard deviation. As from the value portfolio ‘X’ has low beta value. Hence it has lower risk in market. On the other hand the standard deviation value is high for portfolio ‘X’, this means it has high total risk in the market.
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
An analyst wants to evaluate Portfolio X, consisting entirely of U.S. common stocks, using both the Treynor and Sharpe measures of portfolio performance. The following table provides the average annual rate of return for Portfolio X, the market portfolio (as measured by the Standard and Poor’s 500 Index), and U.S. Treasury bills (T-bills) during the past eight years.
Rate Annual Averageof Return
STANDARD DEVIATION OF RETURN
BETA
Portfolio X
10
13
0.40
S&P 500
12
10
1.00
T-bills
7
n/a
n/a
n/a = not applicable
Calculate both the Treynor measure and the Sharpe measure for both Portfolio X and the S&P 500. Round your answers for the Treynor measure to one decimal place and for the Sharpe measure to three decimal places.
Treynor measure
Sharpe measure
Portfolio X
7.5
S&P 500
5
An analyst wants to evaluate Portfolio X consisting entirely of US common stocks, using both the Treynor and Sharpe measures of the portfolio performance. The following table provides the average annual rate of return for the portfolio X the market portfolio
(as measured by the Standard & Poor's 500 index) and US Treasury billds (Tbills) during the past eight years
Average Return
Standard deviation
Beta
Portfolio X
10%
18%
0.6
S & P 500
12%
13%
1
T bills
6%
n/a
n/a
a. Calculate both the Treynor measure and the Sharpe measure for both Portfolio X and the S&P 500. Briefly explain whether portfolio X underperformed, equalled, or outperformed the S&P 500 on a risk-adjusted basis using both the Treynor measure and the Sharpe measure.
b. Based on the performance of…
Consider historical data showing that the average annual rate of return on the S&P 500 portfolio over the past 85 years has averaged roughly 8% more than the Treasury bill return and that the S&P 500 standard deviation has been about 38% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 5%. Calculate the expected return and variance of portfolios invested in T-bills and the S&P 500 index with weights as shown below. (Enter your answers as decimals rounded to 4 places. Leave no cells blank - be certain to enter "0" wherever required.)
WBills: WIndex: Expected Return: Variance:
0.0 1.0 0.1300 0.1444 Example
0.2 0.8
0.4 0.6
0.6 0.4
0.8 0.2
1.0 0.0
Chapter 24 Solutions
INVESTEMENTS (LL) W/CONNECT <CUSTOM>
Ch. 24 - Prob. 1PSCh. 24 - Prob. 2PSCh. 24 - Prob. 3PSCh. 24 - Prob. 4PSCh. 24 - Prob. 5PSCh. 24 - Prob. 6PSCh. 24 - Prob. 7PSCh. 24 - Prob. 8PSCh. 24 - Prob. 9PSCh. 24 - Prob. 10PS
Ch. 24 - Prob. 11PSCh. 24 - Prob. 12PSCh. 24 - Prob. 13PSCh. 24 - Prob. 14PSCh. 24 - Prob. 15PSCh. 24 - Prob. 16PSCh. 24 - Prob. 17PSCh. 24 - Prob. 18PSCh. 24 - Prob. 19PSCh. 24 - Prob. 20PSCh. 24 - Prob. 21PSCh. 24 - Prob. 22PSCh. 24 - Prob. 1CPCh. 24 - Prob. 2CPCh. 24 - Prob. 3CPCh. 24 - Prob. 4CPCh. 24 - Prob. 5CPCh. 24 - Prob. 6CPCh. 24 - Prob. 7CPCh. 24 - Prob. 8CPCh. 24 - Prob. 9CPCh. 24 - Prob. 10CPCh. 24 - Prob. 11CPCh. 24 - Prob. 12CPCh. 24 - Prob. 13CPCh. 24 - Prob. 14CP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- Investment advisors estimated the stock market returns for four market segments: computers, financial, manufacturing, and pharmaceuticals. Annual return projections vary depending on whether the general economic conditions are improving, stable, or declining. The anticipated annual return percentages for each market segment under each economic condition are as follows: Assume that an individual investor wants to select one market segment for a new investment. A forecast shows improving to declining economic conditions with the following probabilities: improving (0.2), stable (0.5), and declining (0.3). What is the preferred market segment for the investor, and what is the expected return percentage? At a later date, a revised forecast shows a potential for an improvement in economic conditions. New probabilities are as follows: improving (0.4), stable (0.4), and declining (0.2). What is the preferred market segment for the investor based on these new probabilities? What is the expected return percentage?arrow_forwardThe following table reports the percentage of stocks in a portfolio for nine quarters: a. Construct a time series plot. What type of pattern exists in the data? b. Use trial and error to find a value of the exponential smoothing coefficient that results in a relatively small MSE. c. Using the exponential smoothing model you developed in part (b), what is the forecast of the percentage of stocks in a typical portfolio for the second quarter of year 3?arrow_forwardUsing the data in the table, consider a portfolio that maintains a 35% weight on stock A and a 65% weight on stock B. a. What is the return each year of this portfolio? (2010-2015) b. Based on your results from part (a), compute the average return and volatility of the portfolio. c. Show that (i) the average return of the portfolio is equal to the (weighted) average of the average returns of the two stocks, and (ii) the volatility of the portfolio equals the same result as from the calculation in Eq. 11.9. d. Explain why the portfolio has a lower volatility than the average volatility of the two stocks.arrow_forward
- Use the data in the tables below to answer the following questions: Average rates of return on Treasury bills, government bonds, and common stocks, 1900–2020. Portfolio Average Annual Rate of Return (%) Average Premium (Extra return versus Treasury bills) (%) Treasury bills 3.7 Treasury bonds 5.4 1.7 Common stocks 11.5 7.8 Standard deviation of returns, 1900–2020. Portfolio Standard Deviation (%) Treasury bills 2.8 Long-term government bonds 8.9 Common stocks 19.5 What was the average rate of return on large U.S. common stocks from 1900 to 2020? What was the average risk premium on large stocks? What was the standard deviation of returns on common stocks? Note: Enter your answer as a percent rounded to 1 decimal place.arrow_forwardYou are given the following long-run annual rates of return for alternative investment instruments: U.S. Government T-bills 3.50% [0.0048] Large-cap common stock 11.75 [ ] Long-term corporate bonds 5.50 [ ] Long-term government bonds 4.90 [ ] Small-capitalization common stock 13.10 [ ] The annual rate of inflation during this period was 3 percent. Compute the real rate of return on these investment alternatives.arrow_forwardFinancial analysts have estimated the returns on shares of the Goldday Corporation and the overall market portfolio under two economic states nature as follows. For Goldday the state dependent returns are -0.06 in recession, and 0.10 in an economic boom. For the market the state dependent returns are -0.08 in recession,and 0.18 in boom. The analyst estimates that the probability of a recession is 0.50 while the probability of an economic boom is 0.50. Compute the standard deviation of the market._____________ * State your answer in decimal form, working your analysis using at least four decimal places of accuracy.arrow_forward
- (Using the CAPM to find expected returns) Sante Capital operates two mutual funds headquartered in Houston, Texas. The firm is evaluating the stock of four different firms for possible inclusion in its fund holdings. As part of their analysis, Sante's managers have asked their junior analyst to estimate the investor-required rate of return on each firm's shares using the CAPM and the following estimates: The rate of interest on short-term U.S. Treasury securities is currently 4 percent, and the expected return for the market portfolio is 10 percent. What should be the expected rates of return for each investment? Security Beta A 1.67 B 0.58 C 1.14 D 0.78 (Click on the icon in order to copy its contents into a spreadsheet.) Question content area bottom Part 1 a. The expected rate of return for security A, which has a beta of 1.67, is enter your response here%. (Round to two decimal places.) Part 2 b. The expected…arrow_forwardUsing the data in the following table, LOADING... , consider a portfolio that maintains a 75% weight on stock A and a 25% weight on stock B. a. What is the return each year of this portfolio? b. Based on your results from part (a), compute the average return and volatility of the portfolio. c. Show that (i) the average return of the portfolio is equal to the (weighted) average of the average returns of the two stocks, and (ii) the volatility of the portfolio equals the same result as from the calculation in Eq. 11.9. d. Explain why the portfolio has a lower volatility than the average volatility of the two stocks. Question content area bottom Part 1 a. What is the return each year of this portfolio? Enter the return of this portfolio for each year in the table below: (Round to two decimal places.) Year 2010 2011 2012 2013 2014 2015 Portfolio enter your response here% enter your response here% enter your response…arrow_forwardConsider a portfolio consisting of $ 10 million invested in the S&P 500 and $ 7.5 million invested in U.S treasury bonds. The S&P 500 has an expected return of 14% and a standard deviation of 16%. The treasury bonds have an expected return of 9% and a standard deviation of 8%. The correlation between the S&P 500 and Bonds is 0.35. All figures are stated on an annual basis. Find the VAR for one year at a probability of 5%. Identify and use the most appropriate method given the information you have. Using the information, you obtained in part a, find VAR for one day.arrow_forward
- In historical data, we see that investments with the highest average annual returns also tend to have the highest standard deviations of annual returns. This observation supports the notion that there is a positive correlation between risk and return. Which of the following answers correctly ranks investments from highest to lowest risk (and return), where the security with the highest risk is shown first, the one with the lowest risk last? a. Large-company stocks, small-company stocks, long-term corporate bonds, U.S. Treasury bills, long-term government bonds. b. Small-company stocks, large-company stocks, long-term corporate bonds, long-term government bonds, U.S. Treasury bills. c. U.S. Treasury bills, long-term government bonds, long-term corporate bonds, small-company stocks, large-company stocks. d. Large-company stocks, small-company stocks, long-term corporate bonds, long-term government bonds, U.S. Treasury bills. e. Small-company stocks, long-term corporate bonds,…arrow_forwardJ.P. Morgan Asset Management publishes information about financial investments. Overthe past 10 years, the expected return for the S&P 500 was 5.04% with a standard deviation of 19.45% and the expected return over that same period for a core bonds fund was5.78% with a standard deviation of 2.13% (J.P. Morgan asset Management, guide to theMarkets, 1st quarter, 2012). The publication also reported that the correlation betweenthe S&P 500 and core bonds is −.32. You are considering portfolio investments that arecomposed of an S&P 500 index fund and a core bonds fund.a. Using the information provided, determine the covariance between the S&P 500 andcore bonds.b. Construct a portfolio that is 50% invested in an S&P 500 index fund and 50% in a corebonds fund. In percentage terms, what are the expected return and standard deviationfor such a portfolio?c. Construct a portfolio that is 20% invested in an S&P 500 index fund and 80% investedin a core bonds fund. In…arrow_forwardThe following graph plots the current security market line (SML) and indicates the return that investors require from holding stock from Happy Corp. (HC). Based on the graph, complete the table that follows: CAPM Elements Value Risk-free rate (rRF) Q1 Market risk premium (RPM) Q2 Happy Corp. stock’s beta Q3 Required rate of return on Happy Corp. stock Q4 An analyst believes that inflation is going to increase by 2.0% over the next year, while the market risk premium will be unchanged. The analyst uses the Capital Asset Pricing Model (CAPM). The following graph plots the current SML. Calculate Happy Corp.’s new required return. Then, on the graph, use the green points (rectangle symbols) to plot the new SML suggested by this analyst’s prediction. Happy Corp.’s new required rate of return is Q5.____ The SML helps determine the risk-aversion level among investors. The higher the level of risk aversion, the Q6.____ the slope of the SML. Q7. Which of the…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Intermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning
EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENT
Essentials of Business Analytics (MindTap Course ...StatisticsISBN:9781305627734Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. AndersonPublisher:Cengage Learning
Intermediate Financial Management (MindTap Course...
Finance
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Cengage Learning
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:9781337514835
Author:MOYER
Publisher:CENGAGE LEARNING - CONSIGNMENT
Essentials of Business Analytics (MindTap Course ...
Statistics
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Cengage Learning
Investing For Beginners (Stock Market); Author: Daniel Pronk;https://www.youtube.com/watch?v=6Jkdpgc407M;License: Standard Youtube License