Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
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Chapter 26, Problem 17PS
Summary Introduction
To discuss: Whether the futures are reasonably priced.
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Consider these futures market data for the June delivery S&P 500 contract, exactly one year from today.
The S&P 500 index is at 2,145, and the June maturity contract is at Fo = 2,146.
a. If the current interest rate is 2.5%, and the average dividend rate of the stocks in the index is 1.9%, what
fraction of the proceeds of stock short sales would need to be available to you to earn arbitrage profits?
(Enter your answer in numbers and not in percentage. Eg; Enter 0.12 and not 12%. Do not round
intermediate calculations. Round your answer to 4 decimal places.)
Answer is complete but not entirely correct.
Fraction
0.7787
Consider these futures market data for the June delivery S&P 500 contract, exactly one year from today. The S&P 500 index is at 1,950, and the June maturity contract is at F0 = 1,951.a. If the current interest rate is 2.5%, and the average dividend rate of the stocks in the index is 1.9%, what fraction of the proceeds of stock short sales would need to be available to you to earn arbitrage profits?b. Suppose now that you in fact have access to 90% of the proceeds from a short sale. What is the lower bound on the futures price that rules out arbitrage opportunities?c. By how much does the actual futures price fall below the no-arbitrage bound?d. Formulate the appropriate arbitrage strategy, and calculate the profits to that strategy.
Jit
Chapter 26 Solutions
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 26 - Vocabulary check Define the following terms: a....Ch. 26 - Prob. 2PSCh. 26 - Prob. 3PSCh. 26 - Futures prices Calculate the value of a six-month...Ch. 26 - Prob. 5PSCh. 26 - Prob. 6PSCh. 26 - Prob. 7PSCh. 26 - Prob. 8PSCh. 26 - Prob. 9PSCh. 26 - Prob. 10PS
Ch. 26 - Hedging You own a 1 million portfolio of aerospace...Ch. 26 - Prob. 12PSCh. 26 - Prob. 13PSCh. 26 - Catastrophe bonds On some catastrophe bonds,...Ch. 26 - Futures contracts List some of the commodity...Ch. 26 - Prob. 16PSCh. 26 - Prob. 17PSCh. 26 - Prob. 18PSCh. 26 - Prob. 20PSCh. 26 - Prob. 21PSCh. 26 - Prob. 22PSCh. 26 - Hedging What is meant by delta () in the context...Ch. 26 - Futures and options A gold-mining firm is...Ch. 26 - Prob. 25PSCh. 26 - Hedging Price changes of two gold-mining stocks...Ch. 26 - Risk management Petrochemical Parfum (PP) is...Ch. 26 - Total return swaps Is a total return swap on a...Ch. 26 - Prob. 30PSCh. 26 - Prob. 31PSCh. 26 - Prob. 32PSCh. 26 - You are a vice president of Rensselaer Advisers...
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- The IMM index price in yesterday's newspaper for a September Eurodollar futures contract is 95.23. The IMM index price in today's newspaper for the contract mentioned above is 95.25. How much is the change in the actual futures price of the contract since the previous day? $25 $50 $75 $100 .arrow_forwardSuppose the 6-month Mini S&P 500 futures price is 1,345.99, while the cash price is 1,335.81. What is the implied difference between the risk-free interest rate and the dividend yield on the S&P 500? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Implied difference %arrow_forwardSuppose the 6-month Mini S&P 500 futures price is 1,170.78, while the cash price is 1,158.57. What is the implied difference between the risk-free interest rate and the dividend yield on the S&P 500? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Implied difference %arrow_forward
- Consider a six-month futures contract on the FTSE 100. Assume the stocks underlying the index provide an annual dividend yield of 6.2% and the value of the index is 6754.5. Calculate the price of the index (to the nearest full index point) if the continuously compounded risk-free interest rate is (i) 6.9% and (ii) 5.arrow_forwardQ1: A U.S.T-Bill is priced at 93.75 for 90 days. The actual futures price is.8977.435S984.375(ANSWER)8958.675S937.500 Q2:The target duration change of the portfolio sought is $2.5 million. The futures bonddelivery price is $80 and the underlying interest rate instrument is $100,000 percontract. A 100 bps interest rate change causes the futures price to change by 12% percontract. Assume the portfolio manager predicts a 25 bps change in interest rates.How many futures contracts should she buy or sell to reach her target duration? Selectthe closest answer.Buy 260 contracts.Buy 1.040 contractsSel1 260 contracts.Sel1 1.040 contracts(answer)arrow_forwardThe S&P 500 spot price is $4,570. The futures price with 6-months delivery is $4,895. The risk-less rate of return for 6-months is 3.68%. You enter into ONE futures contract to deliver ONE index portfolio in 6-months and receive $4,895. Whatever profit you make, you transfer to today. How much $ profit will you have today? Hint: Borrowing money today and selling risk-less bonds are equivalent actions. Whatever $ profit you may make from the above transactions, you have to bring back to today by borrowing at the risk-less rate. Assume no transactions costs (you can borrow and lend at the risk-less rate etc.).arrow_forward
- The following table shows price quotes of interest rate futures. Then the futures' corresponding maturity (fixed) interest rate is _%. Maturity June 10 Open High 94.99 95.01 Low Settle 94.98 95.47arrow_forwardCurrently (on June 23) the value of August BIST 30 index futures is 1560 while the spot BIST 30 index has a value of 1512. Given that the current annual interest rate in Turkey is 20% and the annual dividend yield of the BIST 30 index is 4%; b) Is there an arbitrage gap? If so; what may be the arbitrage gain in case of an arbitrage with 50 contracts? Note: Contract Multiplier is 10arrow_forwardIn May 2012, a bank will issue a 4/7 FRA referenced to BBSW with a guaranteed rate of 4.5% p.a.. Bank bill futures for September 2012 delivery are priced at 95.75. Assume there are no transaction costs and no spread between FRA borrowing and lending rates, and 30-day months. i) Identify a strategy based on one futures contract which will yield an arbitrage profit, and ii) Demonstrate how this will be achieved and calculate the net gain (or loss) from this strategy if the 90-day bank bill rate turns out to be 6% in September 2012.arrow_forward
- Given the following quotes: FBM KLCI spot = 747 points, risk-free rate = 4.5% annualised, FBM KLCI dividend yield = 1.75% annualised. i) If the 90-day KLCI futures is quoted at 762 points, show that arbitrage is possible ii) Calculate the arbitrage profit if FBM KLCI is 10% higher by futures maturity.arrow_forwardThe one-year futures price on a particular stock - index portfolio is 1,124.91, the stock index currently is 1, 116, the one-year risk-free interest rate is 2.61%, and the year-end dividend that will be paid on a $1,116 investment in the index portfolio is $13.73. By how much is the contract mispriced? future price - parity pricearrow_forwardThe ASX200 index is currently sitting at 6458. The risk-free interest rate is 2% per annum. Exactly three months remain before the Nov-19 SPI200 futures contract expires. The SPI200 is quoted at 6410. This futures price implies that the dividend yield on the ASX200 market index is: The futures price tells us nothing about the dividend yield 2.00% 4.98% 2.48% 0.98%arrow_forward
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