The price of a non-dividend paying stock is $15 and the price of a six-month European call option on the stock with a strike price of $22 is $2. The risk-free rate is 5% per annum. What is the price of a six-month European put option with a strike price of $22?
| As per put call parity | ||||||
| Call price + PV of exercise price = Spot price + Put price | ||||||
| 2+22*e^(-0.05*0.5)=15+Put value | ||||||
| Put value = 8.4568 |
The price of a non-dividend paying stock is $15 and the price of a six-month European...
Problem 1. 1. Calculate the price of a six-month European put option on a non-dividend-paying stock with an exercise price of $90 when the current stock price is $100, the annualized riskless rate of interest is 3%, and the volatility is 40% per year. 2. Calculate the price of a six-month European call option with an exercise price on this same stock a non-dividend-paying stock with an exercise price of $90. Problem 2. Re-calculate the put and call option prices...
What is the price of a European put option on a non-dividend-paying stock when the 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 six months?
Calculate the price of a three-month European put option on a non-dividend-paying stock with a strike price of $50 when the current stock price is $50, the risk-free interest rate is 10% per annum, and the volatility is 30% per annum
(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.
What is the price of a European put option on a non-dividend paying stock when the 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 six months? Please give me step by step by step instructions.
A six-month European call option on a non-dividend-paying stock is currently selling for $6. The stock price is$64, the strike price is S60. The risk-free interest rate is 12% per annum for all maturities. what opportunities are there for an arbitrageur? (2 points) 1. a. What should be the minimum price of the call option? Does an arbitrage opportunity exist? b. How would you form an arbitrage? What is the arbitrage profit at Time 0? Complete the following table. c....
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.
What is a lower bound for the price of a six-month call option on a non-dividend-paying stock when the stock price is $38, the strike price is $18, and the risk-free interest rate is 7% per annum?
A four-month European put option on a non-dividend-paying stock is currently selling for $2. The stock price is $45, the strike price is $50, and the risk-free interest rate is 12% per annum. Is there an arbitrage opportunity? Show the arbitrage transactions now and in four months.
5.6. What is a lower bound for the price of a six-month call option on a non-dividend-paying stock when the stock price is $80, the strike price is $75, and the risk-free interest rate is 10% per annum?