Consider a European call option on the 3-month LIBOR rate. The LIBOR rate 3-months before maturity of the option is 2.1129% per year compounded quarterly. What is the payoff at maturity if the strike rate is 1.5% and the notional principal is $1,000,000? Round your answer to the nearest dollar.
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Consider a European call option on the 3-month LIBOR rate. The LIBOR rate 3-months before maturity...
(b) A 6-month European call option on a non-dividend paying stock is cur- rently selling for $3. The stock price is $50, the strike price is $55, and the risk-free interest rate is 6% per annum continuously compounded. The price for 6-months European put option with same strike, underlying and maturity is 82. What opportunities are there for an arbitrageur? Describe the strategy and compute the gain.
Question 7: Consider a European call option and a European put option on a non dividend-paying stock. The price of the stock is $100 and the strike price of both the call and the put is $103, set to expire in 1 year. Given that the price of the European call option is $10.57 and the risk-free rate is 5%, what is the price of the European put option via put-call parity? Question 8: Suppose a trader buys a call...
Question 3 - 20 Points Consider a European call option on a non-dividend-paying stock where the stock price is $33, the strike price is $36, the risk-free rate is 6% per annum, the volatility is 25% per annum and the time to maturity is 6 months. (a) Calculate u and d for a one-step binomial tree. (b) Value the option using a non arbitrage argument. (c) Assume that the option is a put instead of a call. Value the option...
Use the BSM model to calculate the price of a 13-month European call option with a strike price of $40 on a stock that is currently $48 and is expected to pay a $5 dividend in 6 months. The risk-free interest rate is 4% (annualized, continuously compounded), and the volatility of the stock’s returns is 55% per annum. (Reminder: your answer can have N(.) terms in it.)
5. Consider a European call option on the stock of XYZ, with a strike price of $25 and two months to expiration. The stock pays continuous dividends at the annual yield rate of 5%. The annual continuously compounded risk free interst rate is 11%. The stock currently trades for $23 per share. Suppose that in two months, the stock will trade for either S18 per share or $29 per share. Use the one-period binomial option pricing model to find today's...
A 10-month European call option on a stock is currently selling for $5. The stock price is $64, the strike price is $60. The continuously-compounded risk-free interest rate is 5% per annum for all maturities. a) Suppose that the stock pays no dividend in the next ten months, and that the price of a 10-month European put with a strike price of $60 on the same stock is trading at $1. Is there an arbitrage opportunity? If yes, how can...
1. A 10-month European call option on a stock is currently selling for $5. The stock price is $64, the strike price is $60. The continuously-compounded risk-free interest rate is 5% per annum for all maturities. 1) Suppose that the stock pays no dividend in the next ten months, and that the price of a 10-month European put with a strike price of $60 on the same stock is trading at $1. Is there an arbitrage opportunity? If yes, how...
Consider the gamma of a European call option with 1-year maturity on the S&P500 index. The option has a strike of 2300, the dividend yield on the S&P500 index is 2%, and its volatility is 15%. Further assume the riskless interest rate is 5%. (a) Plot the gamma of the option as a function of the underlying asset price. (b) For what values of the S&P500 index is the option’s gamma the highest when the call approaches expiration?
HW4 2) You just bought a European call option with a strike of $25 for BAC stock that matures in 3 months. You paid a premium of $2.40. BAC standard deviation is current 20% and the stock is currently selling for $23.16. The current risk-free rate for the next three months is 1.25% per annum with continuous compounding. What is the price of a European put option on BAC with the same maturity and strike price as the call you...
Pricing a European Call Option Data Current stock price: $50 Risk-free interest rate: 1% per annum, compounded continuously Volatility: 30% per annum Strike price of a 6-month European call option: $48 Question (a) If a Cox-Ross-Rubinstein approach is used, what are the values of u, d, and p that should be used in a two-period binomial tree where each period is 3 months long? Value of u Value of d Value of p