A 6-month European call option on a dividend-paying stock is cur- rently selling for $1.75. The stock price is $58.56, the strike price is $55, and a dividend of $1.20 is expected in 2 months and 5 months. The risk-free interest rate is 3% per annum for all maturities. (a) What opportunities are there for an arbitrageur? Detail your answer. (b) In this market a European put option with same strike price and maturity is also available for trading. Derive the no-arbitrage price of the put option if the call option has a price of c $3. (c) The European put option in the above section is trading at $3. What opportunities are there for an arbitrageur? Detail your answer.

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter8: Basic Stock Valuation
Section: Chapter Questions
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A 6-month European call option on a dividend-paying stock is cur-
rently selling for $1.75. The stock price is $58.56, the strike price is
$55, and a dividend of $1.20 is expected in 2 months and 5 months.
The risk-free interest rate is 3% per annum for all maturities.
(a) What opportunities are there for an arbitrageur? Detail your
answer.
(b) In this market a European put option with same strike price and
maturity is also available for trading. Derive the no-arbitrage
$3.
price of the put option if the call option has a price of c =
%3D
(c) The European put option in the above section is trading at $3.
What opportunities are there for an arbitrageur? Detail your
answer.
Transcribed Image Text:A 6-month European call option on a dividend-paying stock is cur- rently selling for $1.75. The stock price is $58.56, the strike price is $55, and a dividend of $1.20 is expected in 2 months and 5 months. The risk-free interest rate is 3% per annum for all maturities. (a) What opportunities are there for an arbitrageur? Detail your answer. (b) In this market a European put option with same strike price and maturity is also available for trading. Derive the no-arbitrage $3. price of the put option if the call option has a price of c = %3D (c) The European put option in the above section is trading at $3. What opportunities are there for an arbitrageur? Detail your answer.
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