You observe the price of a European put option that expires in nine months and has a strike price of $45 is $3. The underlying stock price is $49.50. The term structure is flat, with all risk-free interest rates being 8%. a. What is the price of a European call option that expires in nine months and has a strike price of $45?  b. You observe next that the price of the call option (in part (a)) in the market is $9.59. State why an arbitrage opportunity exists and explain how you would take advantage of this opportunity.  (Hint: answer should include an outline general strategy, net cost of strategy at initiation and net profit at expiration using the numbers in the question)

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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You observe the price of a European put option that expires in nine months and has a strike price of
$45 is $3. The underlying stock price is $49.50. The term structure is flat, with all risk-free interest
rates being 8%.
a. What is the price of a European call option that expires in nine months and has a strike price
of $45? 
b. You observe next that the price of the call option (in part (a)) in the market is $9.59. State
why an arbitrage opportunity exists and explain how you would take advantage of this
opportunity.  (Hint: answer should include an outline general strategy, net cost of
strategy at initiation and net profit at expiration using the numbers in the question)

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