Question

For the situation considered in Problem 13.12, what is the value of a 6-month European put option with a strike price of $$\$ 51$$ ? Verify that the European call and European put prices satisfy put-call parity. If the put option were American, would it ever be optimal to exercise it early at any of the nodes on the tree?

   For the situation considered in Problem 13.12, what is the value of a 6-month European put option with a strike price of $$\$ 51$$ ? Verify that the European call and European put prices satisfy put-call parity. If the put option were American, would it ever be optimal to exercise it early at any of the nodes on the tree?

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Options, Futures, and Other Derivatives

Options, Futures, and Other Derivatives

John C. Hull 10th Edition

Chapter 13, Problem 13

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Step 1

We can use the same approach as in Problem 13.12 to calculate the option values. At the final nodes, we have: Node 1: Stock price = $50, Option value = Max(51 - 50, 0) = $1 Node 2: Stock price = $52, Option value = Max(51 - 52, 0) = $0 Moving backward, we can Show more…

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For the situation considered in Problem 13.12, what is the value of a 6-month European put option with a strike price of $$\$ 51$$ ? Verify that the European call and European put prices satisfy put-call parity. If the put option were American, would it ever be optimal to exercise it early at any of the nodes on the tree?

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