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For the situation considered in the previous problem, what is the value of a one-year European put option with a strike price of $100? Verify

For the situation considered in the previous problem, what is the value of a one-year European put option with a strike price of $100? Verify that the European call and European put prices satisfy putcall parity.

If the put option in the previous problem was American, would it ever be optimal to exercise it early at any of the nodes on the tree? Find the value of this American put option.

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