Consider an option on a non dividend paying stock when the stock price is $35, the...

Consider an option on a non dividend paying stock when the stock price is $35, the exercise price is $31, the risk free interest rate is 4% per annum, the volatility is 20% per annum, and the time to maturity is four months. Verify that put call parity holds

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Consider an option on a non dividend paying stock when the stock price is $35, the...

Consider an option on a non dividend paying stock when the stock price is $35, the exercise price is $31, the risk free interest rate is 4% per annum, the volatility is 20% per annum, and the time to maturity is four months. 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 an American call? c. What is the price of the option if it...

Consider a call option written on a non-dividend-paying stock when the current stock price is $35,...

Consider a call option written on a non-dividend-paying stock when the current stock price is $35, the exercise price is $30, the risk-free interest rate is 5% per annum, the volatility is 35% per annum, and the time to maturity is 4 months. a) What is the price of a European call option written on the stock? b) What is the price of an American call option written on the stock? c) Assume that the stock will pay a dividend...

Consider a call option written on a non-dividend-paying stock when the current stock price is $35,...

Consider a call option written on a non-dividend-paying stock when the current stock price is $35, the exercise price is $30, the risk-free interest rate is 5% per annum, the volatility is 35% per annum, and the time to maturity is 4 months. a) What is the price of a European call option written on the stock? b) What is the price of an American call option written on the stock? c) Assume that the stock will pay a dividend...

Consider an option on a non-dividend-paying stock when the stock price is $30, the exercise price...

Consider an option on a non-dividend-paying stock when the stock price is $30, the exercise price is $29, the risk-free interest rate is 5% per annum, the volatility is 25% per annum, and the time to maturity is four months. 1. What is the price of the option if it is a European call? 2. What is the price of the option if it is an American call?

Consider an option on a non-dividend-paying stock when the stock price is $40, the strike price...

Consider an option on a non-dividend-paying stock when the stock price is $40, the strike price of $38, the risk-free interest rate is 10% per annum, the volatility is 35% per annum, and the time to maturity is five months. 1. What is the price of the option if it is a European call? 2. What is the price of the option if it is a European put?

Consider an option on a non-dividend-paying stock when the stock price is $30, the exercise price...

Consider an option on a non-dividend-paying stock when the stock price is $30, the exercise price is $29, the risk-free interest rate is 5% per annum, the volatility is 25% per annum, and the time to maturity is four months. What is the price of the option if it is a European call? What is the price of the option if it is an American call? What is the price of the option if it is a European put? Verify...

Consider an option on a non-dividend-paying stock when the stock price is $48, the exercise price...

Consider an option on a non-dividend-paying stock when the stock price is $48, the exercise price is $46, the risk-free interest rate is 6% per annum, the volatility is 20% per annum, and time to maturity is four months. (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) What is the price of the option if it is an American...

) Consider an option on a non-dividend-paying stock when the stock price is $30, the exercise...

) Consider an option on a non-dividend-paying stock when the stock price is $30, the exercise price is $28, the risk-free interest rate is 5% per annum, the volatility is 30% per annum, and the time to maturity is four months. (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 an American call? (c) What is the price of the option if it is...

6) Consider an option on a non-dividend paying stock when the stock price is $38, the...

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...

Consider an option on a non-dividend paying stock when the stock price is $67, the exercise...

Consider an option on a non-dividend paying stock when the stock price is $67, the exercise price is $61, the risk-free rate is 0.5%, the market volatility is 30% and the time to maturity is 6 months. Using the Black-Scholes Model (i) Compute the price of the option if it is a European Call. (ii) Compute the price of the option if it is an American Call. (iii) Compute the price of the option if it is a European Put....

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Consider an option on a non dividend paying stock when the stock price is $35, the...

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