Question

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 $5 \%$, the volatility is $25 \%$ per annum, and the time to maturity is 4 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?

   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 $5 \%$, the volatility is $25 \%$ per annum, and the time to maturity is 4 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?

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Options, Futures, and Other Derivatives

Options, Futures, and Other Derivatives

John C. Hull 10th Edition

Chapter 15, Problem 30

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Step 1

- Current stock price (\( S_0 \)): \$30 - Exercise price (\( K \)): \$29 - Risk-free interest rate (\( r \)): 5% or 0.05 per annum - Volatility (\( \sigma \)): 25% or 0.25 per annum - Time to maturity (\( T \)): 4 months or \( \frac{4}{12} = \frac{1}{3} \) years Show more…

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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 $5 \%$, the volatility is $25 \%$ per annum, and the time to maturity is 4 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?

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