Consider a six-month European call option on the spot price of gold, that is, an option to buy one ounce of gold in the spot market in six months. The strike price is $1, 200, the six-month futures price of gold is $1, 240, the risk-free rate of interest is 5% per annum, and the volatility of the futures price is 20%. The option is the same as a six-month European option on the six-month futures price. Calculate the value of this option

Consider a six-month European call option on the spot price of gold, that is, an option to buy one ounce of gold in the spot market in six months. The strike price is $1, 200, the six-month futures price of gold is $1, 240, the risk-free rate of interest is 5% per annum, and the volatility of the futures price is 20%. The option is the same as a six-month European option on the six-month futures price. Calculate the value of this option

International Financial Management

14th Edition

ISBN:9780357130698

Author:Madura

Publisher:Madura

Chapter21: International Cash Management

Section: Chapter Questions

Problem 18QA

See similar textbooks

Similar questions

The price of a European call that expires in six months and has a strike price of $30 is $2. The underlying stock price is $29, and a dividend of $0.50 is expected in two months and again in five months. Risk-free interest rates (all maturities) are 10% per annum with continuous compounding. What is the price of a European put option that expires in six months, and has a strike price of $30 and the same underlying asset?
Consider a European call option on the S&P 500 that is two months from maturity. The currentvalue of the index is 930, the exercise price is 900, the risk-free interest rate is 8% per annum,and the volatility of the index is 20% per annum. Dividend yields of 0.2% and 0.3% are expectedin the first month and the second month, respectively. Calculate the call price
The stock price is currently $100. Over each of the next two six-month periods, it is expected to go up by 20% or down by 20%. The risk-free interest rate is 5% per annum with continuous compounding. What is the value of a one-year European call option with a strike price of $100? What is the value of a one-year European put option with a strike price of $100? Verify that the European call and European put prices satisfy put-call parity.
A stock price is currently $100. Over each of the next two six-month periods it is expected to go up by 10% or down by 10%. The risk-free interest rate is 8% per annum with continuous compounding. What is the value of a one-year European call option with a strike price of $100? What is the value of a one-year European put option with a strike price of $100? Verify that the European call and European put prices satisfy put–call parity.
The spot price of gold today is $1, 507 per troy ounce, and the futures price for a contract maturing in seven months is $1, 548 per troy ounce. If Golddy Plc puts on a futures hedge today and lifts the hedge after five months. a) Calculate the cost of carry for gold. b) If the spot price of gold in five months' time turns out to be $1,520. What will be the futures price five months from now? c) How much is the basis in five months' time?
Consider a three-month futures contract on gold. The fixed charge is Rs.310 per deposit and thevariable storage costs are Rs.52.5 per week. Assume that the storage costs are paid at the timeof deposit. Assume further that the spot gold price is Rs.15000 per 10 grams and the risk-freerate is 7% per annum. What would the price of three month gold futures if the delivery unit is onekg? Assume that 3 months are equal to 13 weeks
A speculator is considering the purchase of a 6-month Swiss franc call option on 50,000 francs with a strike price of $1.0885/SFr The premium is $0.0075/Sfr. The spot price is $1.0822/Sfr and the 60-day forward rate is $1.0880/SFr. The speculator believes the Franc will appreciate to $1.0994/Sfr over the next six months. What is the profit or loss if the franc appreciates only to the forward rate at the end of the 6 months? A. $170 B. -$235 C. $450 D -$375
A stock price is currently $ 100. Over the next two six-month periods it is expected to go up by 10% or go down by 10%. The risk-free interest rate is 8% per annum with continuous compounding. (i) What is the value of a one-year European call option with a strike price of $ 100. (ii) What is the value of a one-year European put option with a strike price of $ 100. (iii) Verify that the European call and the European put satisfy put-call parity.
The futures price of an asset is currently 80 and the risk-free rate is 4%. A six-month put on the futures with a strike price of 85 is currently worth 6.5. What is the value of a six-month call on the futures with a strike price of 85 if both the put and call are European? What is the range of possible values of the six-month call with a strike price of 85 if both put and call are American? Show all work and briefly discuss.
A stock price is currently $100. Over each of the next two three-month periods it is expected to increase by 10% or fall by 10%. Consider a six-month European put option with a strike price of $95. The risk-free interest rate is 8% per annum, compounded continuously. What is the value of the option if it is American?
Suppose we have both a European call option and put option with an exercise price of $53 and the underlying stock is currently priced at $50. We are to note also that both options will expiry in six months. Further, market surveys suggest that the price of the stock can either go up by 20% or decrease by 25%. The current risk-free rate of interest is 2% per annum. (a) What is the expected price of the underlying asset at expiry date? (b) What is the value of the call option, using the binomial model? (c) If the put option is selling for $4.80, what should be the price of the call option to avoidarbitrage?
A futures price is currently 65, its volatility is 22% per annum, and the risk-free interest rate is 5.5% per annum. What is the value of a five-month European put on the futures with a strike price of 60?