Question

A stock price is currently $$\$ 50$$. Over each of the next two 3-month periods it is expected to go up by $6 \%$ or down by $5 \%$. The risk-free interest rate is $5 \%$ per annum with continuous compounding. What is the value of a 6-month European call option with a strike price of $$\$ 51$$ ?

   A stock price is currently $$\$ 50$$. Over each of the next two 3-month periods it is expected to go up by $6 \%$ or down by $5 \%$. The risk-free interest rate is $5 \%$ per annum with continuous compounding. What is the value of a 6-month European call option with a strike price of $$\$ 51$$ ?
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Options, Futures, and Other Derivatives
Options, Futures, and Other Derivatives
John C. Hull 10th Edition
Chapter 13, Problem 12 ↓

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Step 1

The stock price can either go up by $6 \%$ or down by $5 \%$. If it goes up by $6 \%$, the new stock price after 3 months would be: $$\$ 50 \times (1 + 0.06) = \$ 53$$ If it goes down by $5 \%$, the new stock price after 3 months would be: $$\$ 50 \times (1  Show more…

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A stock price is currently $$\$ 50$$. Over each of the next two 3-month periods it is expected to go up by $6 \%$ or down by $5 \%$. The risk-free interest rate is $5 \%$ per annum with continuous compounding. What is the value of a 6-month European call option with a strike price of $$\$ 51$$ ?
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