Contemporary Engineering Economics (6th Edition)
Contemporary Engineering Economics (6th Edition)
6th Edition
ISBN: 9780134105598
Author: Chan S. Park
Publisher: PEARSON
Question
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Chapter 13, Problem 1P
To determine

Calculate the price.

Expert Solution & Answer
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Explanation of Solution

Price of six month European call option can be calculated by using the Black-Scholes equation as follow.

Table 1

Stock price (S0)120
Investment cost (K)150
Volatility (σ)0.45
Time to investment decision (T)0.5
Risk free rate (r)0.06
Dividend yield (w)0
Call value6.97
Put value32.53
  
d1-0.447892596
d2-0.766090647
N(d1)0.327115356
N(d2)0.221811184
N(-d1)0.672884644
N(-d2)0.778788816

The value of the call option is $6.97 that obtained by using black-Scholes equations.

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Students have asked these similar questions
Assume that the risk-free rate of interest is 4% and the expected rate of return on the market is 16%. A share of stock sells for $63 today. It will pay a dividend of $3 per share at the end of the year. Its beta is 1.1. What do investors expect the stock to sell for at the end of the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Which of the following statements about the current value of a short European call option on Warwick plc stock, a non-dividend-paying stock, is/are true? (a)    The current value of a short European call option is less than or equal to zero.   (b)    The current value of a short European call option decreases as the volatility of returns on Warwick plc stock increases, holding all else constant. (c)    The current value of a short European call option decreases as the price of Warwick plc stock increases, holding all else constant.
The Franko Company has a beta of 1.20 By what percent will the rate of return on the stock of Franko Company increase if the market rate of return rises by 3%?
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