The current price of a non-dividend paying stock is $100. Every three months, it is expected to go up or down by 10% or 6%, respectively. The risk-free rate is 4% per year with continuous compounding. Compute the price of a European call option with strike price $98 and maturity six months written on the stock.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter12: The Cost Of Capital
Section: Chapter Questions
Problem 19P
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The current price of a non-dividend paying stock is $100. Every
three months, it is expected to go up or down by 10% or 6%,
respectively. The risk-free rate is 4% per year with continuous
compounding. Compute the price of a European call option with
strike price $98 and maturity six months written on the stock.
15.68
Consider a non-dividend paying asset that trades for $96. Over
the next six months, analysts expect that it could go up to $114
or down to $86. Compute the price of an at-the-money
European put option expiring in six months. Assume that the
risk-free rate is 6% per year with continuous compounding.
Express your answer with two decimals.
7.28
Transcribed Image Text:The current price of a non-dividend paying stock is $100. Every three months, it is expected to go up or down by 10% or 6%, respectively. The risk-free rate is 4% per year with continuous compounding. Compute the price of a European call option with strike price $98 and maturity six months written on the stock. 15.68 Consider a non-dividend paying asset that trades for $96. Over the next six months, analysts expect that it could go up to $114 or down to $86. Compute the price of an at-the-money European put option expiring in six months. Assume that the risk-free rate is 6% per year with continuous compounding. Express your answer with two decimals. 7.28
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