You are pricing options with the following characteristics: •Current stock price (St): $35.60 •Exercise price (X): $50 •Time to expiration (T-t): 9 months •Risk-free rate (rf): 3.25% • Volatility (0): 45% (a): What is the Black-Scholes value of call option? In your hand-written solution, provide the calculations of d1,d2, and the final call price. Use Excel or another spreadsheet program to compute the values of N(d1) and N(d2). See the notes for details. (b): Using put-call parity, what is the value of a put option? For this case, assume continuous compounding, which implies that PVt(X)=e-r(T-t).X.

Financial Management: Theory & Practice
16th Edition
ISBN:9781337909730
Author:Brigham
Publisher:Brigham
Chapter8: Financial Options And Applications In Corporate Finance
Section: Chapter Questions
Problem 5MC: In 1973, Fischer Black and Myron Scholes developed the Black-Scholes option pricing model (OPM). (1)...
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You are pricing options with the following characteristics:
•Current stock price (St): $35.60
•Exercise price (X): $50
•Time to expiration (T-t): 9 months
•Risk-free rate (rf): 3.25%
•Volatility (0): 45%
(a): What is the Black-Scholes value of call option? In your hand-written solution, provide the calculations of
d1,d2, and the final call price. Use Excel or another spreadsheet program to compute the values of N(d1) and
N(d2). See the notes for details.
(b): Using put-call parity, what is the value of a put option? For this case, assume continuous compounding,
which implies that PVt(X)=e-r(T-t).X.
Transcribed Image Text:You are pricing options with the following characteristics: •Current stock price (St): $35.60 •Exercise price (X): $50 •Time to expiration (T-t): 9 months •Risk-free rate (rf): 3.25% •Volatility (0): 45% (a): What is the Black-Scholes value of call option? In your hand-written solution, provide the calculations of d1,d2, and the final call price. Use Excel or another spreadsheet program to compute the values of N(d1) and N(d2). See the notes for details. (b): Using put-call parity, what is the value of a put option? For this case, assume continuous compounding, which implies that PVt(X)=e-r(T-t).X.
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