Suppose the current exchange rate is $ 1.77 divided by pound $1.77/£, the interest rate in the United States is 5.41 % 5.41%, the interest rate in the United Kingdom is 4.12 % 4.12%, and the volatility of the $/£ exchange rate is 10.3 % 10.3%. Use the Black-Scholes formula to determine the price of a six-month European call option on the British pound with a strike price of $ 1.77 divided by pound $1.77/£.
The corresponding forward exchange rate is $________________ / pound £. (Round to four decimal places.)
Suppose the current exchange rate is $ 1.77 divided by pound $1.77/£, the interest rate in...
4. (4 points) The currency exchange rate for GBP is $1.25 per pound. The risk free interest rates for USD and GBP are 1% and 1.5% per year, respectively, with continuous compounding. The volatility of GBP exchange rate is o= 15%. Compute the price of a 6-month at-the-money European put option in a 3-step CRR binomial model. Compare the binomial price with the Black-Scholes price.
Current value of S&P500 is 2500, interest rate is 2% per year, annualized volatility of S&P500 is 30%, a call option has strike price 2250 and expires in 0.25 years. Using Black-Scholes option pricing formula, find option premium Find option delta
In this question we assume the Black-Scholes model. We denote interest rate by r, drift rate pi and volatility by o. A European power put option is an option with the payoff function below, Ka – rº, ha if x <K, 0, if x > K, for some a > 0. In particular, it will be a standard European put option when a = 1. (a) Derive the pricing formula for the time t, 0 <t< T, price of a...
Assume the spot price of the British pound is currently $1.85. If the risk-free interest rate on 1-year government bonds is 5.3% in the United States and 6.2% in the United Kingdom, what must be the forward price of the pound for delivery one year from now? (Do not round intermediate calculations. Round your answer to 3 decimal places.) Forward price
Consider a European put option on a non-dividend-paying stock. The current stock price is $69, the strike price is $70, the risk-free interest rate is 5% per annum, the volatility is 35% per annum and the time to maturity is 6 months. a. Use the Black-Scholes model to calculate the put price. b. Calculate the corresponding call option using the put-call parity relation. Use the Option Calculator Spreadsheet to verify your result.
Consider a European put option on a currency. The exchange rate is $1.15 per unit of the foreign currency, the strike price is $1.25, the time to maturity is one year, the domestic risk-free rate is 0% per annum, and the foreign risk-free rate is 5% per annum. The volatility of the exchange rate is 0.25. What is the value of this put option according to the Black-Scholes-Merton model?
Assuming the CNY/USD exchange rate is 7.0 today. CNY Interest Rate is 5% USD Interest Rate is 0.5% Volatility of CNY/USD is 10% a year. Thus the 1 year forward is 7.32 (1USD = 7.32 CNY). Use the option calculator to calculate the value of a USD call/CNY Put option with strike of 7.7 and a USD put option/CNY Call option with strike of 7.00, this structure is called a collar. How is buying a call and selling a put...
2. You are given the following information. The current dollar-pound exchange rate is $2 per pound. A U.S. basket that costs S100 would cost $120 in the United Kingdom. For the next year, the Fed is predicted to keep U.S. inflation at 2% and the Bank of England is predicted to keep UK. inflation at 3%. The speed of convergence to absolute PPP is 15% per year. A. What is the expected U.S. minus U.K. inflation differential for the coming...
6) Consider an option on a non-dividend paying stock when the stock price is $38, the exercise price is $40, the risk-free interest rate is 6% per annum, the volatility is 30% per annum, and the time to maturity is six months. Using Black-Scholes Model, calculating manually, a. What is the price of the option if it is a European call? b. What is the price of the option if it is a European put? c. Show that the put-call...
Assume that the spot exchange rate of the British pound is $1.73/£. How will this spot rate adjust according to PPP if the United Kingdom experiences an inflation rate of 7 percent while the United States experiences an inflation rate of 2 percent?