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Principles of Corporate Finance
13th Edition
ISBN: 9781260465099
Author: BREALEY, Richard
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 26, Problem 10PS
Futures prices* In December 2017, six-month futures on the Australian S&P/ASX 200 Index traded at 5,947. Spot was 6,001. The interest rate was 1.8% a year, and the dividend yield was about 4.4% a year. Were the futures fairly 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 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.
On a particular day, the September S&P 500 stock index futures was priced at 960.50. The S&P 500 index was at 956.49. The contract expires 73 days later.
Assuming continuous compounding, suppose the risk-free rate is 5.96 percent and the dividend yield on the index is 2.75 percent. Is the futures overpriced or underpriced?
Assuming annual compounding, suppose the risk-free rate is 5.96 percent and the future value of dividends on the index is $5.27. Is the futures overpriced or underpriced?
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.
Chapter 26 Solutions
Principles of Corporate Finance
Ch. 26 - Vocabulary check Define the following terms: a....Ch. 26 - Prob. 2PSCh. 26 - Catastrophe bonds On some catastrophe bonds,...Ch. 26 - Futures and options A gold-mining firm is...Ch. 26 - Prob. 5PSCh. 26 - Prob. 6PSCh. 26 - Futures contracts List some of the commodity...Ch. 26 - Prob. 8PSCh. 26 - Futures prices Calculate the value of a six-month...Ch. 26 - Futures prices In December 2017, six-month futures...
Ch. 26 - Prob. 11PSCh. 26 - Prob. 13PSCh. 26 - Prob. 15PSCh. 26 - Prob. 16PSCh. 26 - Prob. 17PSCh. 26 - Convenience yield In March 2018, six-month bitcoin...Ch. 26 - Prob. 19PSCh. 26 - Prob. 20PSCh. 26 - Total return swaps Is a total return swap on a...Ch. 26 - Prob. 22PSCh. 26 - Prob. 23PSCh. 26 - Hedging What is meant by delta () in the context...Ch. 26 - Hedging You own a 1 million portfolio of aerospace...Ch. 26 - Prob. 26PSCh. 26 - Prob. 27PSCh. 26 - Prob. 28PSCh. 26 - Hedging Price changes of two gold-mining stocks...Ch. 26 - Prob. 30PSCh. 26 - Prob. 31PSCh. 26 - Prob. 32PSCh. 26 - Prob. 33PSCh. 26 - You are a vice president of Rensselaer Advisers...
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- Currently (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_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_forwardSuppose the ASX200 Index is currently at 7,406, the expected dividend yield on the index is 2 percent per year, and the risk-free rate is 0.35%. Using the current price of ASX200 futures contracts that expire in six months recommend a program trading strategy for buying or selling the futures?arrow_forward
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