Using the Black-Scholes model find the premium on a call option with an exercise price of $50 on a share currently priced at $40. Assume the riskless rate of 1% per annum and the option has two years to expiration. The risk of the stock is measured by a σ value of 0.15. Decompose the premium into intrinsic value and time value? By how much is the call option priced above minimum value? Repeat the exercise for a current share price of $60.

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
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Using the Black-Scholes model find the premium on a call option with an exercise price of $50 on a share currently priced at $40. Assume the riskless rate of 1% per annum and the option has two years to expiration. The risk of the stock is measured by a σ value of 0.15. Decompose the premium into intrinsic value and time value? By how much is the call option priced above minimum value?

Repeat the exercise for a current share price of $60.

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