INVESTMENTS-CONNECT PLUS ACCESS
INVESTMENTS-CONNECT PLUS ACCESS
11th Edition
ISBN: 2810022611546
Author: Bodie
Publisher: MCG
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Chapter 21, Problem 39PS
Summary Introduction

To calculate: The Black-Scholes value of the option when the risk-free interest rate is 0.5% p.m. and stock’s volatility = 7% p.m.

Introduction:

Black-Scholes value of the option: It is one of the pricing models which are used to compute the theoretical value of a put or call option. This model considers variables such as volatility, underlying stock price, strike price, risk-free rate and type of option in its calculations.

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XYZ Corp. will pay a $2 per share dividend in two months. Its stock price currently is $60 per share. A call option on XYZ has an exercise price of $55 and 3-month time to expiration. The risk-free interest rate is .5% per month, and the stock’s volatility (standard deviation) = 7% per month. Find the Black-Scholes value of the option. (Hint: Try defining one “period” as a month, rather than as a year, and think about the net-of-dividend value of each share.)
XYZ Corp. will pay a $2 per share dividend in 2 months. Its stock price currently is $72 per share. A call option on XYZ has an exercise price of $65 and 3-month time to expiration. The risk-free interest rate is 0.3% per month, and the stock's volatility (standard deviation) = 12% per month. Find the pseudo-American option value. (Hint: Try defining one "period" as a month, rather than as a year.) (Round your answer to 2 decimal places. Omit the "$" sign in your response.) Pseudo-American option value
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