Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
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Chapter 22, Problem 21PS
Summary Introduction

To determine: The put value.

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A defender and a challenger are considered in a replacement analysis. The following decision tree includes the data where FC: first cost, AB: annual benefit; C: Challenger and D: Defender. If annual compound interest rate is 10%, when must we replace the defender? Node no branch Cash flow FC=-45,000 $ Life=20 yrs AB= +8,500 $ FC=-10,000 $ Life=5 yrs AB= +4,500 $ FC=-10,000 $ Life=5 yrs 10 2 D 1D AB= +5,500 $ FC=-35,000 $ Life=15 yrs AB= +4,500 $ FC=-10,000 $ Life=5 yrs AB= +5,000 $ FC=-25,000 $ Life=10 yrs AB= +9,000 $ FC=-20,000 $ Life=5 yrs AB= +6,000 $ FC=-15,000 $ Life=5 yrs AB= +5,000 $ 20 3 1D 20 10 2 D
Compute the price of the European call option using the R program introduced in class where K = 100, S0 = 85, r = 10%, σ = 25% and T=0.5 Year. a. Use the Black-Scholes-Merton formula. b. Use the Monte-Carlo method. (Decide on the number of iterations and time step by your own) c. Compare the results in part a and b. d. Do the same calculations for the put option price where all parameters are the same
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