Consider a long forward contract on Amps Inc stock with a remaining maturity of 8 months. Amps Inc has announced that it will pay $2 dividend per share after 3 months. The risk-free rate of interest (with continuous compounding) is 5 percent per year, the current stock price is $40, and the delivery price when the contract is in place is $42. What is the current no-arbitrage forward price of this stock? 35.32 42.67 39.31 42.44 33.89 32.45

Consider a long forward contract on Amps Inc stock with a remaining maturity of 8 months. Amps Inc has announced that it will pay $2 dividend per share after 3 months. The risk-free rate of interest (with continuous compounding) is 5 percent per year, the current stock price is $40, and the delivery price when the contract is in place is $42. What is the current no-arbitrage forward price of this stock? 35.32 42.67 39.31 42.44 33.89 32.45

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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Assume that the current stock price is $50 per share, that call options can be purchased with an exercise price of $60 per share, that bank loans can be obtained for a 10 percent nominal rate, and that at expiration of the option in three months, the stock will either be valued at $30 or $70. Show that it is possible to replicate the stock payoff by borrowing and buying a call option.
A non-dividend paying asset is current priced at $25 and the risk-free interest rate is 8% per annum. Today, you enter into a six-month futures contract to buy a unit of this asset. Three months from now the underlying price has fallen to $20 (but note that the interest rate has not moved). Which of the answers below is closest to the fall in the futures price? Use discrete discounting. a. $4.50 b. $6.50 c. $7.50 d. $5.50
5. Suppose the one-year futures price on a stock-index portfolio is 1218, the stock index currently is 1200, the one-year risk-free interest rate is 3%, and the ybar-end dividend that will be paid on a $1,200 investment in the index portfolio is $15. 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. Assume a zero bid-ask spread in security and futures transactions. Now assume that if you short sell the stocks in the index portfolio, the proceeds are kept with the broker, and you do not receive any interest income of the funds. Is there still an arbitrage opportunity (assuming that you don't already own the shares in the index)? d. Given the short sale rules, what is the no-arbitrage band for the stock-futures price relationship? Specifically, how high and how low can the futures price be without giving rise to arbitrage opportunities. C.
What is the present value of a security that will pay $8,000 in 20 years if securities of equal risk pay 4% annually? Do not round intermediate calculations. Round your answer to the nearest cent. $
D4) Finance Calculate the price of a 3-month American put option on a non-dividend-paying stock when the stock price is $50, the strike price is $50, the risk-free interest rate is 5% per annum, and the volatility is 25% per annum. Use a binomial tree with a time interval of 1 month.
2. A one year long forward contract on a non-dividend-paying stock is entered into when the stock price is $45 and the risk free rate of interest is 10% per annum with continuous compounding a) What are the forward price and initial value of the forward contract? b) Six month later, the price of the stock is $50 and risk-free interest rate is still 10%. What are the forward price and the value of the forward contract?
A non-dividend paying asset is current priced at $25 and the risk-free interest rate is 8% per annum. Today, you enter into a six-month futures contract to buy a unit of this asset. Three months from now the underlying price has fallen to $18 (but note that the interest rate has not moved). Which of the answers below is closest to the fall in the futures price? Use discrete discounting. Question 7Answer a. $6.50 b. $5.50 c. $7.50 d. $4.50
Consider a two-period binomial model in which a non-dividend-paying stock currently trades at £35. Over each of the next two six-month periods, the share price is expected to go up by 12% or down by 9%. The risk-free interest rate is 6% per annum with continuous compounding. Calculate the value of a one-year European put option with a strike price of £36, using a two-period binomial tree method.
What is the present value of a security that will pay $22,000 in 20 years if securities of equal risk pay 7% annually? Do not round intermediate calculations. Round your answer to the nearest cent. $

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