The shares of toll road operator TransRural currently trade for $15 per share. Over the next 3 months, the shares can either go down to SD = (1-x)*$15 or up to SU = (1+x)*$15 per share. The risk-free rate equals 1+R = 1.03. A 3-month European call option with a strike price equal to $20 trades for a price of $2.04. What is the value of ‘x’, to 1 decimal place? A. None of the other answers is correct. B. 5 C. 1 D. 6 E. 5

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter20: Financing With Derivatives
Section20.A: The Black-scholes Option Pricing Model
Problem 1P
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 The shares of toll road operator TransRural currently trade for $15 per share. Over the next 3 months, the shares can either go down to SD = (1-x)*$15 or up to SU = (1+x)*$15 per share. The risk-free rate equals 1+R = 1.03. A 3-month European call option with a strike price equal to $20 trades for a price of $2.04. What is the value of ‘x’, to 1 decimal place?

A. None of the other answers is correct.

B. 5

C. 1

D. 6

E. 5

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