1. An investor has just obtained the following quotes for a European option on GE stock worth $31. Features of both options are following. European synthetic call $3 European synthetic put $2.25 Strike price $30 Expiration 3 months Risk free rate 10% annual Find an arbitrage opportunity from put-call parity.

1. An investor has just obtained the following quotes for a European option on GE stock worth $31. Features of both options are following. European synthetic call $3 European synthetic put $2.25 Strike price $30 Expiration 3 months Risk free rate 10% annual Find an arbitrage opportunity from put-call parity.

International Financial Management

14th Edition

ISBN:9780357130698

Author:Madura

Publisher:Madura

Chapter5: Currency Derivatives

Section: Chapter Questions

Problem 5ST

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Assume that Epping Co. expects to receive S$500,000 in one year. Epping created a probability distribution for the future spot rate in one year as follows: Future Spot Rate $.68 Probability 20% 62 50 30 61 Assume that one-year put options on Singapore dollars premium of $.04 per unit. One-year call options on Singapore dollars are available with an exercise price of S.60 and a premium of $.03 per unit. a are available, with an exercise price of $0.63 and Use the appropriate options hedge to determine whether the firm would exercise the option using each of the three different spot rates i.e. what would the firm do if each spot rate existed at the time it is considering exercising the option (assume the option is about to expire). Then, show the total amount of receivables (in US dollars) based on the appropriate strategy that would be implemented for each of the three spot rates. Indicate whether the amount would be a maximum or a minimum or neither.
Using put-call parity formula, derive expressions for the lower bounds for European call and put options. What is a lower bound for the price of (i) a three-month call option on a non-dividend-paying stock when the stock price is R860, the strike price is R760, and the risk-free interest rate is 10% per annum? (ii) a three-month European put option on a non-dividend-paying stock when the stock price is R500, the strike price is R610, and the discrete risk-free interest rate is 9% per annum?
Consider a one-period binomial model in which the underlying is at 65 Euros, and can go up 30% or down 22% each period. The risk-free rate is 8%. Determine the price of a European put option with exercise price of 70. Assume that the put is selling for 9 Euros. Demonstrate how to execute an arbitrage transaction and calculate the rate of return. Use 10000 puts.
Assume the spot Swiss franc is $0.7015 and the six-month forward rate is $0.6980. What is the Value of a six-month call and a put option with a strike price of $0.6815 should sell for in a rational market? Assume the annualized six-month Eurodollar rate is 3.50 percent. Assume the annualized volatility of the Swiss franc is 14.20 percent. Use the European option-pricing models to value the call and put option. This problem can be solved using the FXOPM.xls spreadsheet. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
Assume the spot Swiss franc is $0.7085 and the six-month forward rate is $0.7120. What is the Value of a six-month call and a put option with a strike price of $0.6885 should sell for in a rational market? Assume the annualized six-month Eurodollar rate is 3.50 percent. Assume the annualized volatility of the Swiss franc is 14.20 percent. Use the European option-pricing models to value the call and put option.
Consider a one-period binomial model in which the underlying is at 65 Euros, and can go up 30% or down 22% each period. The risk-free rate is 8%. European Put Option with Execution Price of 70 Euros. Assume that the put is selling for 9 Euros. Demonstrate how to execute an arbitrage transaction and calculate the rate of return. Use 10000 puts.
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Assume that the price of a forward contract is 127.87. The European options on the forward contract has an exercise price $150, expiring in 60 days. 3.75% is the continuously compounded risk-free rate, and volatility is 0.33. Calculate the underlying asset's price. Using the Black-Scholes-Merton model, determine the price of a call option on the underlying asset.
A European put option with strike price $26.00, the underlying asset S (0) is $26 and the return over each period R=1.06. CRR notation d=0.8 and u=1.25 Construct a three-step binomial pricing tree for the European put option and calculate the premium.
Assume that the price of a forward contract is 127.87. The European options on the forward contract has an exercise price $150, expiring in 60 days. 3.75% is the continuously compounded risk-free rate, and volatility is 0.33. Using the Black-Scholes-Merton model, compute the price of a put option on the underlying asset.
Assume that the price of a forward contract is 127.87. The European options on the forward contract has an exercise price $150, expiring in 60 days. 3.75% is the continuously compounded risk-free rate, and volatility is 0.33.A. Using the Black model, calculate the price of a call option on a forward contract.B. Calculate the underlying asset's price. Using the Black-Scholes-Merton model, determine the price of a call option on the underlying asset. Should this pricing be any different from the one calculated in letter A? Explain your answer.C. Using the Black model, calculate the price of a put option on a forward contract.D. Using the Black-Scholes-Merton model, compute the price of a put option on the underlying asset. Should this pricing be any different from the one calculated in letter C? Explain your answer.