A hedge fund has created a portfolio using just two stocks. It has shorted $25,000,000 worth of Oracle stock and has purchased $75,000,000 of Intel stock. The correlation between Oracle's and Intel's returns is 0.61. The expected returns and standard deviations of the two stocks are given in the following table: a. What is the expected return of the hedge fund's portfolio? b. What is the standard deviation of the hedge fund's portfolio?

A hedge fund has created a portfolio using just two stocks. It has shorted $25,000,000 worth of Oracle stock and has purchased $75,000,000 of Intel stock. The correlation between Oracle's and Intel's returns is 0.61. The expected returns and standard deviations of the two stocks are given in the following table: a. What is the expected return of the hedge fund's portfolio? b. What is the standard deviation of the hedge fund's portfolio?

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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5. The universe of available securities includes two risky stock funds, A and B, and T-bills. The data for the universe are as follows: A B T-bills Expected Return 10% 30% 5 Standard Deviation 20% 60% 0 The correlation coefficient between funds A and B is -0.2. a. Compute the covariance between the funds. b. Find the optimal risky portfolio, P, and its expected return and standard deviation. c. Find the slope of the CAL supported by T-bills and portfolio P. d. How much will an investor with A = 5 invest in funds A and B and in T-bills?
Assume that you are the portfolio manager of the SF Fund, a $3 million hedge fund that contains the following stocks. The required rate of return on the market is 11.00% and the risk-free rate is 2.00%. What rate of return should investors expect (and require) on this fund? Do not round your intermediate calculations. Stock A B C D 11.16% 10.82% 9.93% 9.37% 9.71% Amount $1,075,000 $675,000 $750,000 $500,000 $3,000,000 Beta 1.20 0.50 1.40 0.75
A portrollo consists of assets with the following expected returns: Technology stocks Pharmaceutical stocks Utility stocks Savings account a. What is the expected return on the portfolio if the investor spends an equal amount on each asset? Round your answer to two decimal places. % 26% 16 9 4 b. What is the expected return on the portfolio if the investor puts 53 percent of available funds in technology stocks, 15 percent in pharmaceutical stocks, 14 percent in utility stocks, and 18 percent in the savings account? Round your answer to two decimal places. %
(Portfolio beta and security market line) You own a portfolio consisting of the following stocks: The risk-free rate is 8 percent. Also, the expected return on the market portfolio is 18 percent. a. Calculate the expected return of your portfolio. (Hint: The expected return of a portfolio equals the weighted average of the individual stock's expected return, where the weights are the percentage invested in each stock.) b. Calculate the portfolio beta. c. Given the preceding information, plot the security market line on paper. Plot the stocks from your portfolio on your graph. d. From your plot in part c, which stocks appear to be your winners and which ones appear to be losers? e. Why should you consider your conclusions in part d to be less than certain? a. The expected return of your portfolio is%. (Round to two decimal places.) Data table Stock 1 2 (...)) Percentage of Portfolio 30% 35% 5% 15% 15% Beta 1.05 0.80 1.25 0.62 1.62 3 4 5 (Click on the icon in order to copy its contents…
Suppose that a mutual fund manager has a $20 million portfolio with a beta of 1.2. Also suppose that the risk free rate is 4.5% and the market risk premium is 6%. The manager expects to receive an additional $5 million, which is to be invested in a number of new stocks to add to the portfolio. After these stocks are added, the manager would like the fund's required rate of return to be 10.5%. For notation, let r represent the required return, let RF represent the risk free rate, let b represent the beta of a group of stocks, and T'm represent the market return. According to the video, which equation most closely describes the security market line (SML)? Or=TRF-bx (TM - TRF) Ⓒr=TRF+b× (™M - TRF) b ○ r = TRF + TM-TRF Or=rRF+bx (M+TRF) Hint: Recall that the manager wants the new required rate of return for the portfolio to remain at 10.5%. Using the equation you just identified, and plugging in the relevant information, yields a beta of the portfolio, after the new stocks have been added,…
Consider the following information for stocks A, B, and C. The returns on the three stocks are positively correlated, but they are not perfectly correlated. (That is, each of the correlation coefficients is between 0 and 1.) Stock Expected Return Standard Deviation Beta A 6.95% 15% 0.7 B 8.35 15 1.1 C 10.45 15 1.7 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 4.5%, and the market is in equilibrium. (That is, required returns equal expected returns.) What is the market risk premium (rM - rRF)? Round your answer to one decimal place. % What is the beta of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. What is the required return of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. % What would you expect the standard deviation of Fund P to be? Less than 15% Greater than 15% Equal to 15%
Suppose that today is December 31, 2021. Consider a hedge fund with the following investment strategy: buy high quality stocks and short-sell low quality ("junk") stocks. The hedge fund follows a beta- neutral strategy. The estimated betas of high and low quality stocks over the 01/2019 to 12/2021 time period are 1.01 and 1.32 respectively. If the hedge fund's gross leverage is capped at 2, then how much should the fund invest in high quality stocks? To answer this question, compute the weighted invested in high-quality stocks at the end of 12/2021. (Hint: the sign matters) The answer should be given in decimal form with three decimals. For example, write 0.105 instead of 10.5 or 10.5 % when the correct answer is 10.5 %.
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Consider the following information for Stocks A,B, and C. The returns on the three stocks are positively correlated, but they are not perfectlycorrelated. (That is, each of the correlation coefficients is between 0 and 1.) Stock Expected Return Standard Deviation BetaA 9.55% 15% 0.9B 10.45 15 1.1C 12.70 15 1.6 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is5.5%, and the market is in equilibrium. (That is, required returns equal expected returns.)a. What is the market risk premium (rM - rRF)?b. What is the beta of Fund P?c. What is the required return of Fund P?d. Would you expect the standard deviation of Fund P to be less than 15%, equal to 15%,or greater than 15%? Explain.
Use the following data to answer the question regarding the performance of Guardian Stock Fund and the market portfolio. The risk- free return during the sample period was 5%. Average return Standard deviation of returns Beta Residual standard deviation Guardian 14% 26% 1.2 (0.80) 4% X Answer is complete but not entirely correct. Information ratio Market Portfolio Calculate the information ratio measure of performance for Guardian Stock Fund. (Round your answer to 2 decimal places. Do not round intermediate calculations.) 10% 21% 1 0%
You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.23 and the total portfolio is equally as risky as the market, what must the beta be for the other stock in your portfolio? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Stock beta
An analyst develops the following covariance matrix of returns: Hedge Fund Hedge Fund Market Index 0.0289 0.00765 Market Index 0.00765 0.0225 Calculate the correlation of returns between the hedge fund and the market index.

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