V4 Consider the following annual closing prices of mutual fund ABC, and Treasury bills rate.Stock PriceRF Rate:(in $)(in %)871.311071.24Year 3850.91Year 4711.19Year 5991.02Year 6871.25Year 792Year 893Year 990Year 10 98Year 11 70Year 12 103Year 13 104Year 14 82DateYear 1Year 2O 5.32What is the Sharpe ratio for this mutual fund during the study period?3.80,661.04O2.85O 2.850 4.750.920.990.630.661.021.13

The performance of stocks is measured by many tools, Sharpe ratio is one of the most used tools.…

Consider the following annual closing prices of mutual fund ABC, and Treasury bills rate. RF Rate (in %) 1.31 1.24 0.91 1.19 1.02 1.25 0,66 1.04 0.92 0.99 0.63 0.66 1.02 1.13 Date Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Stock Price (in $) 87 107 85 71 O 5.32 O 3.8 O2.85 O 2.85 0 4.75 99 87 Year 7 Year 8 Year 9 90 Year 10 98 Year 11 70 Year 12 103 Year 13 104 Year 14 82 92 93 What is the Sharpe ratio for this mutual fund during the study period?

Consider the following annual closing prices of mutual fund ABC, and Treasury bills rate. RF Rate (in %) 1.31 1.24 0.91 1.19 1.02 1.25 0,66 1.04 0.92 0.99 0.63 0.66 1.02 1.13 Date Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Stock Price (in $) 87 107 85 71 O 5.32 O 3.8 O2.85 O 2.85 0 4.75 99 87 Year 7 Year 8 Year 9 90 Year 10 98 Year 11 70 Year 12 103 Year 13 104 Year 14 82 92 93 What is the Sharpe ratio for this mutual fund during the study period?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Consider the following information for a period of years: Long-term government bonds Long-term corporate bonds Inflation Arithmetic Mean a. Long-term government bonds. b. Long-term corporate bonds 7.4% 7.5 4.2 a. What is the real return on long-term government bonds? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. What is the real return on long-term corporate bonds? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. %
Consider the following annual closing prices of stock A, values of market index (S&P 500) and Treasury bills rate. A B C с D Date Stock A Prices (in $) Market Index Value Risk Free Rate (in %) 2 Period 1 119 3 Period 2 100 11829 11843 9639 88 131 12854 9580 11640 8469 11412 9115 10682 NOSAWNH 1 4 Period 3 Period 4 6 Period 5 7 Period 6 8 Period 7 9 Period 8 10 Period 9 11 Period 10 12 O 1.1 13 What is the value of CAPM beta for stock A? O 1.4666 O 1.8333 O2.0533 82 113 O 0.3666 65 109 95 113 1.48 1.76 1.64 1.2 1.43 1.36 1.3 1.72 1.71 1.77
Assume these were the inflation rates and U.S. stock market and Treasury bill returns between 1929 and 1933: Year Inflation(%) Stock Market Return(%) T-Bill Return(%) 1929 0.5 –13.2 6.1 1930 –5.5 –30.7 2.9 1931 –9.3 –47.6 1.5 1932 –13.2 –8.2 0.8 1933 0.9 64.2 0.6 What was the real return on the stock market in each year? What was the average real return? What was the risk premium in each year? What was the average risk premium?
SECURITY MARKET LINE You are given the following historical data on market returns, r, and the returns on Stocks A and B, r, and r: 8A-2 M' Year 1 29.00% 29.00% 20.00% 2 15.20 15.20 13.10 3 (10.00) (10.00) 0.50 4 3.30 3.30 7.15 23.00 23.00 17.00 6. 31.70 31.70 21.35 The risk-free rate, rp, is 9%. Your probability distribution for r for next year is as follows: M Probability M 0.1 (14%) 0.2 0.4 15 0.2 25 0.1 44 a. Determine graphically the beta coefficients for Stocks A and B. b. Graph the Security Market Line, and give its equation. c. Calculate the required rates of return on Stocks A and B. d. Suppose a new stock, C, with f̟ = 18% and b̟ = 2.0, becomes avail- able. Is this stock in equilibrium; that is, does the required rate of return on Stock C equal its expected return? Explain. If the stock is not in equilibrium, explain how equilibrium will be restored.
SECURITY MARKET LINE You are given the following historical data on market returns, r, and the returns on Stocks A and B, r, and rp: 8A-2 M' A Year 1 29.00% 29.00% 20.00% 2 15.20 15.20 13.10 (10.00) (10.00) 0.50 4 3.30 3.30 7.15 5 23.00 23.00 17.00 31.70 31.70 21.35
Assume these are the stock market and Treasury bill returns for a 5-year period: Year 2016 2017 2018 2019 2020 Stock Market Return (%) 33.30 13.20 -3.50 14.50 23.80 Required: a. What was the risk premium on common stock in each year? b. What was the average risk premium? c. What was the standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.) 3 Required A Required B T-Bill Return Complete this question by entering your answers in the tabs below. Standard deviation (%) 0.12 0.12 0.12 0.07 0.09 x Answer is complete but not entirely correct. Required C What was the standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.) Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. 13.69 X % घ
ssume these were the inflation rates and U.S. stock market and Treasury bill returns between 1929 and 1933: Year Inflation(%) Stock Market Return(%) T-Bill Return(%) 1929 0.5 –13.2 6.1 1930 –5.5 –30.7 2.9 1931 –9.3 –47.6 1.5 1932 –13.2 –8.2 0.8 1933 0.9 64.2 0.6 What was the average risk premium?
Suppose that the current three-year rate (three-year spot rate) and expected one- year T-bill rates over the following years are as follows: 1 R3 = 12% E(271) = 8% E(371) = 10% Using the unbiased expectations theory, calculate the current rates for one- and two-year maturity Treasury securities, i.e., 1 R₁ and 1 R2. Convert your answers to percentages. 1R1 = 17.39%; 1R2 = 12.56% O 1R1 = 20.73; 1R2 = 11.49% O 1R1 = 18.26%; 1R2 = 13.01% O 1R1 = 19.52; 1R2 = 14.74%
Consider the following money market information being quoted: Which of the following statements is true? Particulars GBP Interest Rate THB Interest Rate Spot Rate 1-year Expected Spot Rate Bid Rate 6.100% 10.550% THB5.6601/GBP THB5.9037/GBP C. Ask Rate 6.125% 10.625% THB5.6622/GBP THB5.9961/GBP a. There is an arbitrage which can only be made by initially borrowing GBP and then investing in THB. b. More than one of the options in this question are correct. The THB is selling at a premium to the GBP in the future. O d. There is an arbitrage which can only be made by initially borrowing THB and then investing in GBP.
Assume that yields on U.S. Treasury securities were as follows:Term Rate6 months 4.69%1 year 5.492 years 5.663 years 5.714 years 5.895 years 6.0510 years 6.1220 years 6.6430 years 6.76 a. Plot a yield curve based on these data.b. What type of yield curve is shown?c. What information does this graph tell you?d. Based on this yield curve, if you needed to borrow money for longer than 1 year,would it make sense for you to borrow short term and renew the loan or borrow longterm? Explain.
Assume these are the stock market and Treasury bill returns for a 5-year period: Stock Market T-Bill Return Return (%) (%) 0.14 Year 2013 34.20 2014 13.90 0.14 2015 -3.80 0.14 2016 14.80 0.09 2017 24.30 0.11 Required: a. What was the risk premium on common stock in each year? b. What was the average risk premium? c. What was the standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.) Complete this question by entering your answers in the tabs below. Required A Required B Required C What was the standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.) (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Standard deviation %
Suppose the returns on long-term government bonds are normally distributed. Assume long-term government bonds have a mean return of 6.1 percent and a standard deviation of 9.8 percent. What is the approximate probability that your return on these bonds will be less than −3.7 percent in a given year? Use the NORMDIST function in Excel® to answer this question. Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. What range of returns would you expect to see 95 percent of the time? Note: A negative answer should be indicated by a minus sign. Enter your answers from lowest to highest. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. What range would you expect to see 99 percent of the time? Note: A negative answer should be indicated by a minus sign. Enter your answers from lowest to highest. Do not round intermediate calculations and enter…

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