Let S = $100, K = $95, r = 8% (continuously compounded), σ = 30%, δ = 0, T = 1 year, and n = 3. Verify that the binomial option price for an American call option is $18.283. Verify that there is never early exercise; hence, a European call would have the same price. Show that the binomial option price for a European put option is $5.979. Verify that put-call parity is satisfied. Verify that the price of an American put is $6.678. Please show this step by step and include formulas so that I can follow along. thank you.
Let S = $100, K = $95, r = 8% (continuously compounded), σ = 30%, δ = 0, T = 1 year, and n = 3. Verify that the binomial option price for an American call option is $18.283. Verify that there is never early exercise; hence, a European call would have the same price. Show that the binomial option price for a European put option is $5.979. Verify that put-call parity is satisfied. Verify that the price of an American put is $6.678. Please show this step by step and include formulas so that I can follow along. thank you.
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Let S = $100, K = $95, r = 8% (continuously compounded), σ = 30%, δ = 0, T = 1 year, and n = 3.
- Verify that the binomial option price for an American call option is $18.283. Verify that there is never early exercise; hence, a European call would have the same price.
- Show that the binomial option price for a European put option is $5.979. Verify that put-call parity is satisfied.
- Verify that the price of an American put is $6.678.
Please show this step by step and include formulas so that I can follow along. thank you.
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