A company has a $10million portfolio with a beta of 1.5. Suppose that the standard deviation of semi-annual changes in the prices of a commodity is $0.72, the standard deviation of semi- annual changes in a futures price on the commodity is $0.81, and the coefficient of correlation between the two changes s 0.9. What is the optimal hedge ratin for

A company has a $10million portfolio with a beta of 1.5. Suppose that the standard deviation of semi-annual changes in the prices of a commodity is $0.72, the standard deviation of semi- annual changes in a futures price on the commodity is $0.81, and the coefficient of correlation between the two changes s 0.9. What is the optimal hedge ratin for

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter8: Analysis Of Risk And Return

Section: Chapter Questions

Problem 13P

See similar textbooks

Similar questions

An analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 10%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 4.8%. If ai = 0, bi = 1.2, ci = 20.4, and di = 1.3, what is the stock’s predicted return?
Suppose that the standard deviation of quarterly changes in the prices of a commodity is $0.65, the standard deviation of quarterly changes in a futures price on the commodity is $0.81, and the coefficient of correlation between the two changes is 0.8. What is the optimal hedge ratio for a three-month contract? What does it mean? Explain what is meant by basis risk when futures contracts are used for hedging.
Suppose the 1-year futures price on a stock-index portfolio is 1,914, the stock index currently is 1,900, the 1-year risk-free interest rate is 3%, and the year-end dividend that will be paid on a $1,900 investment in the market index portfolio is $40.a. By how much is the contract mispriced?b. Formulate a zero-net-investment arbitrage portfolio and show that you can lock in riskless profits equal to the futures mispricing.c. Now assume (as is true for small investors) that if you short sell the stocks in the market index, the proceeds of the short sale are kept with the broker, and you do not receive any interest income on the funds. Is there still an arbitrage opportunity (assuming that you don’t already own the shares in the index)? Explain.d. Given the short-sale rules, what is the no-arbitrage band for the stock-futures price relation-ship? That is, given a stock index of 1,900, how high and how low can the futures price be without giving rise to arbitrage opportunities?
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…
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
Security F has an expected return of 10 percent and a standard deviation of 43 percent per year. Security G has an expected return of 15 percent and a standard deviation of 62 percent per year. Required: (a) What is the expected return on a portfolio composed of 30 percent of Security F and 70 percent of Security G? (b) If the correlation between the returns of Security F and Security G is .25, what is the standard deviation of the portfolio described in part (a)?
The stock of Jones Trucking is expected to return 16 percent annually with a standard deviation of 7 percent. The stock of Bush Steel Mills is expected to return 21 percent annually with a standard deviation of 13 percent. The correlation between the returns from the two securities has been estimated to be +0.4. The beta of the Jones stock is 1.1, and the beta of the Bush stock is 1.4. The risk-free rate of return is expected to be 6 percent, and the expected return on the market portfolio is 16 percent. The current dividend for Jones is $5. The current dividend for Bush is $7. What is the expected return from a portfolio containing the two securities if 30 percent of your wealth is invested in Jones and 70 percent is invested in Bush? Round your answer to one decimal place. % What is the expected standard deviation of the portfolio of the two stocks? Round your answer to two decimal places. % Which stock is the better buy in the current market? Round your answers to one decimal…
The stock of Jones Trucking is expected to return 16 percent annually with a standard deviation of 7 percent. The stock of Bush Steel Mills is expected to return 21 percent annually with a standard deviation of 13 percent. The correlation between the returns from the two securities has been estimated to be +0.4. The beta of the Jones stock is 1.1, and the beta of the Bush stock is 1.4. The risk-free rate of return is expected to be 6 percent, and the expected return on the market portfolio is 16 percent. The current dividend for Jones is $5. The current dividend for Bush is $7. What is the expected return from a portfolio containing the two securities if 30 percent of your wealth is invested in Jones and 70 percent is invested in Bush? Round your answer to one decimal place. % What is the expected standard deviation of the portfolio of the two stocks? Round your answer to two decimal places. % Which stock is the better buy in the current market? Round your answers to one decimal…
For the upcoming year, the risk-free rate is 2 percent, and the expected return to the market is 7 percent. You are also given the following covariance matrix for Securities J,K, andL. \table[[Covariance,Security J,Security K,Security L],[Security J,0.0012532,0.0010344,0.0019711],[Security K,0.0010344,0.0023717,0.0013558],[Security L,0.0019711,0.0013558,0.0048442]] Also assume that you form a portfolio by putting 0 percent of your funds in Security J, 40 percent of your funds in Security K, and 60 percent of your funds in Security L. Based on this information, determine the standard deviation of the resulting portfolio. ◻ 6.47% 5.27% 4.98% 5.82% 4.77%
Based on current dividend yields and expected capital gains, the expected rates of return on portfolios A and B are 11% and 14%, respectively. The beta of A is 0.8 while that of B is 1.5. The T-bill rate is currently 6%, while the expected rate of return of the S&P 500 Index is 12%. The standard deviation of portfolio A is 10% annually, while that of B is 31%, and that of the index is 20%. a. If you currently hold a market-index portfolio, would you choose to add either of these portfolios to your holdings? Explain.b. If instead you could invest only in bills and one of these portfolios, which would you choose?
The 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. For graph see image 13a CAPM Elements Value Risk-free rate (rRFRF) Market risk premium (RPMM) Happy Corp. stock’s beta Required rate of return on Happy Corp. stock 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 _____?. For grapgh see image 13b The SML helps determine the level of risk aversion among investors.…
Bluerock manages a well-diversified speculative grade bond portfolio which is expected to have an annual default rate of 5.3% and loss given default of 60%. A) What is the portfolio’s expected loss over the next 12 months? (answer % carried to 2 places.) B) If the speculative portfolio has a weighted average contractual coupon rate of 8.1%/year, what is its expected annual yield? (answer % carried to 2 places.)