You manage a $19.5 million portfolio, currently all invested in equities, and believe that the market is on the verge of a big but short-lived downturn. You would move your portfolio tempo-rarily into T-bills, but you do not want to incur the transaction costs of liquidating and reestablishing your equity position. Instead, you decide to temporarily hedge your equity holdings with E-mini S&P 500 index futures contracts.a. Should you be long or short the contracts? Why?b. If your equity holdings are invested in a market-index fund, into how many contracts should you enter? The S&P 500 index is now at 1,950 and the contract multiplier is $50.c. How does your answer to part (b) change if the beta of your portfolio is .6?

You manage a $19.5 million portfolio, currently all invested in equities, and believe that the market is on the verge of a big but short-lived downturn. You would move your portfolio tempo-rarily into T-bills, but you do not want to incur the transaction costs of liquidating and reestablishing your equity position. Instead, you decide to temporarily hedge your equity holdings with E-mini S&P 500 index futures contracts.a. Should you be long or short the contracts? Why?b. If your equity holdings are invested in a market-index fund, into how many contracts should you enter? The S&P 500 index is now at 1,950 and the contract multiplier is $50.c. How does your answer to part (b) change if the beta of your portfolio is .6?

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter14: Capital Structure Management In Practice

Section: Chapter Questions

Problem 25P

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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?
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You have $248,641 to invest in a stock portfolio (this amount is your original wealth). Your choices are Stock H, with an expected return of 14.17 percent, and Stock L, with an expected return of 11.28 percent. Legal constraints require you to invest at least $42,800 in stock L. If your goal is to create a portfolio with an expected return of 21.8 percent on your original wealth, what is the minimum amount you must borrow (and subsequently repay) at the risk free rate of 3.64 percent to achieve your goal? Answer in $ to two decimals.
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You have $95,621 to invest in two stocks and the risk-free security. Stock A has an expected return of 13.32 percent and Stock B has an expected return of 9.77 percent. You want to own $31,048 of Stock B. The risk-free rate is 3.14 percent and the expected return on the market is 10.25 percent. If you want the portfolio to have an expected return equal to that of the market, how much should you invest (in $) in the risk-free security? Answer to two decimals. (Hint: A negative answer is OK - it means you borrowed (rather than lent or invested) at the risk free rate.)
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The manager of a well-diversified portfolio with a market value of $200 million that mirrors the S&P 500 wants to hedge the portfolio against a market decline in value over the next six months. The portfolio manager wants to use the Mini-S&P 500 contract for hedging. The contract multiplier for this futures contract is $50. The futures price for the contract at the date that the hedge is put on is 4,200. a. Should the portfolio manager buy or sell the futures contract. Explain why. b. How many contracts should the portfolio manager sell or buy? c. Suppose at the delivery date (six months from now), the value of the S&P 500 is 3,800. Show what the outcome for this hedge will be.
You hold a $400 million portfolio of 30 large stocks in various sectors within the S&P500. You are considering switching some of this into stock in a listed shell company (a company whose only assets are cash). In terms of minimising your overall systematic portfolio risk measured by the weighted beta of your portfolio, which option is the most likely to reduce your portfolio’s systematic risk?（No information missing） a Reallocating $50m into the shell company. b I do not want to answer this question. c Reallocating $25m into the shell company and $25m into airline stocks. d Reallocating $50 million into airline stocks. e Remaining fully invested in the S&P500. f Reallocating $100m into airlines stocks.
You currently own $100, 000 worth of Wal-Mart stock. Suppose that Wal-Mart has an expected return of 14% and a volatility of 23%. The market portfolio has an expected return of 12% and a volatility of 16%. The risk free rate is 5%. Required: Assuming the CAPM assumptions hold, what alternative investment has the highest possible expected return while having the same volatility as Wal-Mart? What is the expected return of this portfolio? ......(Do not provide solution in image and AI based).....
The table here shows the no-arbitrage prices of securities A and B that we calculated.Cash Flow in One YearSecurity Market Price Today Weak Economy Strong EconomySecurity A 231 0 600Security B 346 600 0a. What are the payoffs of a portfolio of one share of security A and one share of security B?b. What is the market price of this portfolio? What expected return will you earn from holdingthis portfolio Suppose security C has a payoff of $600 when the economy is weak and $1800 when the economy isstrong. The risk-free interest rate is 4%.a. Security C has the same payoffs as which portfolio of the securities A and B in problem A-1?b. What is the no-arbitrage price of security C?c. What is the expected return of security C if both states are equally likely? What is its riskpremium?d. What is the difference between the return of security C when the economy is strong and when itis weak?e. If security C had a risk premium of 10%, what arbitrage opportunity would be available?
Assume that you hold a well-diversified portfolio that has an expected return of 11.0% and a beta of 1.20. You are in the process of buying 1,000 shares of Alpha Corp at $10 a share and adding it to your portfolio. Alpha has an expected return of 21.5% and a beta of 1.70. The total value of your current portfolio is $90,000. What will the expected return and beta on the portfolio be after the purchase of the Alpha stock? Do not round your intermediate calculations.
A company has $20 million portfolio with beta of 0.8. It would like to use futures contracts on the S&P 500 to hedge its risk. The index is currently standing at 1050, and each contract is for delivery of $250 per index points. What is the hedge that minimises its risk? What should the company do if it wants to reduce the beta of the portfolio to 0.2? a. Buying 76 futures contracts minimises the risk. To reduce the beta to 0.2, the company should instead buy 61 contracts. b. Buying 61 futures contracts minimises the risk. To reduce the beta to 0.2, the company should instead buy 46 contracts. c. Selling 76 futures contracts minimises the risk. To reduce the beta to 0.2, the company should instead sell 61 contracts. d. Selling 61 futures contracts minimises the risk. To reduce the beta to 0.2, the company should instead sell 46 contracts.