In July 2004, six-month futures on the FTSE 500 stock index traded at 16,000. The spot was 13,300. The interest rate was 19% p.a. and the dividend yield was 4% (for six months). Assume that the entire dividend is paid on contract maturity, and the contract concerns the ex-dividend price. Are the futures are fairly priced? If not, illustrate an arbitrage strategy to take advan- tage of this opportunity.

In July 2004, six-month futures on the FTSE 500 stock index traded at 16,000. The spot was 13,300. The interest rate was 19% p.a. and the dividend yield was 4% (for six months). Assume that the entire dividend is paid on contract maturity, and the contract concerns the ex-dividend price. Are the futures are fairly priced? If not, illustrate an arbitrage strategy to take advan- tage of this opportunity.

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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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?
Consider the futures contract on XYZ Inc. stock. Suppose that the annual dividend yield for the stock is 2.5% and the risk-free rate is 6.3%. Both rates are based on continuous compounding. The current futures price of the XYZ Inc. futures contract maturing in 18 months is $900 per share. Assume that the no arbitrage Futures-Spot parity when asset provides a known yield holds. What is the current spot price of XYZ Inc. per share? Please explain and show calculation. a. $934.39 b. $952.79 c. $850.13 d. $900.00 e. $944.37
(2) The spot price of the S&P 500 index is currently at 1200 per share. The 3-month futures price is the same as the spot price. The simple interest rate is 2% for 3 months and the simple dividend yield is 1% for 3 months. (a) Calculate the arbitrage-free futures price. (b) Provide an arbitrage trading strategy.
The one-year futures price on a particular stock-index portfolio is 2,620, the stock index currently is 2,600, the one-year risk-free interest rate is 2.0%, and the year-end dividend that will be paid on a $2,600 investment in the index portfolio is $25. Required: By how much is the contract mispriced? (Input the amount as positive value.) The futures price is its "proper" or parity value.
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
An index level of 1,000, what is the value of each contract? If a long stock index futures position on S& P 500 index futures at 1, 051 and has an index of 1, 058 at the settlement date, how much would be the trader’s gain? Complete Solution.
The 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 price
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?
Suppose the quoted futures price for delivery in 1 year is $7.10. The current underlying price is $7 and the continuously compounded interest rate is 5%. The underlying does not pay dividends. How could you make a riskless arbitrage profit? Question 2Answer a. buy futures contracts, short sell the stock and invest in a bank account b. borrow from the bank to buy futures contracts and short sell the stock c. sell futures contracts, borrow and buy the stock d. sell future contacts, short sell the stock and invest in a bank account
Suppose the 180-day S&P 500 futures price is 1,404.98, while the cash price is 1,390.2. What is the implied dividend yield on the S&P 500 if the risk free interest rate is 3.5 percent? (Round your answer to 2 decimal places. Omit the "%" sign in your response.) Implied dividend %
Please solve ASAP with formulas/explanation. Provide an arbitrage trading strategy as well. Will upvote! Thank you in advance! 1- The spot price of the S&P 500 index is currently at 1200 per share. The 3-month futures price is the same as the spot price. The simple interest rate is 2% for 3 months and the simple dividend yield is 1% for 3 months. (a) Calculate the arbitrage-free futures price. (b) Provide an arbitrage trading strategy.
A European call that will expire in one year is currently trading for $3. Assume the risk-free rate (based on continuous compounding) is 5%, the underlying stock price is $60 and the strike price is $55. a. Is there an arbitrage opportunity? b. Describe exactly what a trader should do to take advantage of the arbitrage opportunity assuming it exists. c. Determine the present value of the profit that the trader can earn assuming you identify an arbitrage opportunity. Use at least four decimal places for those questions that require a numerical answer.

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