INVESTMENTS (LOOSELEAF) W/CONNECT
11th Edition
ISBN: 9781260465945
Author: Bodie
Publisher: MCG
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Chapter 21, Problem 33PS
Summary Introduction
To calculate: European put option for 1 year using binomial model with exercise price $110 and also confirms that put price satisfies put- call parity or not.
Introduction: The put call parity equation is used to find values of put and call option. Here we verify the put value using binomial model and parity equation.
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Using put-call parity formula, derive expressions for the lower bounds for European call and put options. What is a lower bound for the price of (i) a three-month call option on a non-dividend-paying stock when the stock price is R860, the strike price is R760, and the risk-free interest rate is 10% per annum? (ii) a three-month European put option on a non-dividend-paying stock when the stock price is R500, the strike price is R610, and the discrete risk-free interest rate is 9% per
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Consider a one-period binomial model in which the underlying is at 65 Euros, and can go up 30% or down 22% each period. The risk-free rate is 8%.
Determine the price of a European put option with exercise price of 70.
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A European put option with strike price $26.00, the underlying asset S (0) is $26 and the return over each period R=1.06. CRR notation d=0.8 and u=1.25 Construct a three-step binomial pricing tree for the European put option and calculate the premium.
Chapter 21 Solutions
INVESTMENTS (LOOSELEAF) W/CONNECT
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- An investor buys a European call option at a price of 7.6 yuan. The stock price is 52 yuan and the strike price is 55 yuan. Under what circumstances will the investor make a profit ? Under what circumstances will the option be executed ? Draw a diagram of the relationship between investor profitability and stock price at maturity.arrow_forwardAssume that the price of a forward contract is 127.87. The European options on the forward contract has an exercise price $150, expiring in 60 days. 3.75% is the continuously compounded risk-free rate, and volatility is 0.33. Using the Black-Scholes-Merton model, compute the price of a put option on the underlying asset.arrow_forwarduse binomial option pricing model for this question. suppose the current spot rate for USD/CHF is 0.7. you need to find the one-year call option price of USD/CHF with the exercise price of 0.68 USD/CHF. Assume that our future states will be either 0.7739 U&SD/CHF or 0.6332 USD/CHF. 1) What are the payoffs of a call option (for both states) 2) what is the hedge ratio of the call option?arrow_forward
- please compute the two-step binomial model price of a European Call Option with the following characteristics: S = 50 K = 50 Sigma = 30% r = 1.00% T = 6 months D = 0arrow_forwardConsider a European put and a European call option which are both written on a non-dividend paying stock, have the same strike price K = £80 and expire in T = 2 months. These options are trading for p = £21 and c = £30.80, respectively. The underlying stock price is S0 = £90. The continuously compounded risk-free rate of interest is r = 10% per annum. What is the present value of the arbitrage profit? Please explain your answer and show your workings. In your response, please show all cash flows (both today and at expiration) and explain why this is an arbitrage (i.e. risk-less) profit.arrow_forwardAssume that the price of a forward contract is 127.87. The European options on the forward contract has an exercise price $150, expiring in 60 days. 3.75% is the continuously compounded risk-free rate, and volatility is 0.33. Calculate the underlying asset's price. Using the Black-Scholes-Merton model, determine the price of a call option on the underlying asset.arrow_forward
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