2. (a) The stock of Huesca Hardware trades for €142 per share. The share prioe has price volatility of 25%. Huesca Hardware has no plans to pay dividends over the next six months. The risk-free rate is 5% per Knnum with continuous compounding. Use the Black-Scholes option pricing model to compute: the price of a 6-month European call option written on the stock with a strike price of €125. (i) the price of a 6-month European put option written on the stock with a strike price of e150. (b) Use put-call parity to compute the price of a 6-month Europcan put option written on the stock with a strike price of e125. (i) the price of a 6-month European call option written on the stock with a strike price of €150. (c) Pierre expects the price of Huesca Hardware's stock to fall over the next six months. Use the opticns otetions For this strateos

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter20: Financing With Derivatives
Section20.A: The Black-scholes Option Pricing Model
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2. (a) The stock of Huesca Hardware trades for €l142 per share. The share price bas price volatility of 25%.
Huesca Hardware has no plans to pay dividends over the next six months. The risk-free rate is 5% per
annum with continuous compounding. Use the Black-Scholes option pricing model to compute:
the price of a 6-month European call option written on the stock with a strike price of €125.
(i)
the price of a 6-month Europcan put option written on the stock with a strike price of e150.
(b) Use put-call parity to compute
the price of a 6-month European put option written on the stock with a strike price of €125.
i)
the price of a 6-month European call option written on the stock with a strike price of €150.
(c) Pierre expects the price of Huesca Hardware's stock to fall over the next six months. Use the opticns
from parts a and b to devise a trading strategy to reflect his expectations. For this strategy:
(i)
compute the initial (t-0) cashflows.
compute the payoffs at maturity.
(iii)
(ii)
compute the upper and lower profit bounds.
draw the profit diagram.
(iv)
Transcribed Image Text:2. (a) The stock of Huesca Hardware trades for €l142 per share. The share price bas price volatility of 25%. Huesca Hardware has no plans to pay dividends over the next six months. The risk-free rate is 5% per annum with continuous compounding. Use the Black-Scholes option pricing model to compute: the price of a 6-month European call option written on the stock with a strike price of €125. (i) the price of a 6-month Europcan put option written on the stock with a strike price of e150. (b) Use put-call parity to compute the price of a 6-month European put option written on the stock with a strike price of €125. i) the price of a 6-month European call option written on the stock with a strike price of €150. (c) Pierre expects the price of Huesca Hardware's stock to fall over the next six months. Use the opticns from parts a and b to devise a trading strategy to reflect his expectations. For this strategy: (i) compute the initial (t-0) cashflows. compute the payoffs at maturity. (iii) (ii) compute the upper and lower profit bounds. draw the profit diagram. (iv)
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