Question

A stock price is currently $$\$ 50$$. It is known that at the end of 2 months it will be cither $$\$ 53$$ or $$\$ 48$$. The risk-free interest rate is $10 \%$ per annum with continuous compounding. What is the value of a 2-month European call option with a strike price of $$\$49$$? Use no arbitrage arguments.

   A stock price is currently $$\$ 50$$. It is known that at the end of 2 months it will be cither $$\$ 53$$ or $$\$ 48$$. The risk-free interest rate is $10 \%$ per annum with continuous compounding. What is the value of a 2-month European call option with a strike price of $$\$49$$? Use no arbitrage arguments.

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Options, Futures, and Other Derivatives

Options, Futures, and Other Derivatives

John C. Hull 10th Edition

Chapter 13, Problem 9

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Step 1

- Current stock price \( S_0 = \$50 \). - Possible future stock prices: \( S_u = \$53 \) (up) and \( S_d = \$48 \) (down). - Strike price of the call option \( K = \$49 \). - Risk-free interest rate \( r = 10\% \) per annum. - Time to expiration \( T = Show more…

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A stock price is currently $$\$ 50$$. It is known that at the end of 2 months it will be cither $$\$ 53$$ or $$\$ 48$$. The risk-free interest rate is $10 \%$ per annum with continuous compounding. What is the value of a 2-month European call option with a strike price of $$\$49$$? Use no arbitrage arguments.

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