PRIN.OF CORPORATE FINANCE
PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Chapter 21, Problem 22PS

American options The current price of the stock of Mont Tremblant Air is C$100. During each six-month period it will either rise by 11.1% or fall by 10% (equivalent to an annual standard deviation of 14.9%). The interest rate is 5% per six-month period.

  1. a. Calculate the value of a one-year European put option on Mont Tremblant’s stock with an exercise price of C$102.
  2. b. Recalculate the value of the Mont Tremblant put option, assuming that it is an American option.
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The stock price five months from the expiration of an option is $42, the exercise price of the option is $40, the continuously compounded risk-free interest rate is 11% per annum, and the volatility (o) is 21% per annum. Calculate the price of the option if it is a European call. Calculate the price of the option if it is a European put. 1. а. b.
A one-month European call option on a non-dividend-paying stock is currently selling for $1. The stock price is $47, the strike price is $50, and the risk-free rate is 6% per annum (continuously compounded). What is the time value of a one-month European put on the same stock with the same strike price? A. $3.00 B. $3.75 C. $0.75 D. $0.00
The price of a European call option on a stock with a strike price of $50 is $6. The stock price is $51, the continuously compounded risk-free rate (all maturities) is 6% and the time to maturity is one year. A dividend of $1 is expected in six months. What is the price of a one-year European put option on the stock with a strike price of $50?      $6.97     $8.97     $1.12     $3.06
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