INVESTMENTS (LOOSELEAF) W/CONNECT
INVESTMENTS (LOOSELEAF) W/CONNECT
11th Edition
ISBN: 9781260465945
Author: Bodie
Publisher: MCG
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Chapter 20, Problem 31PS
Summary Introduction

To explain: The cost of at-the-money call option is more than the at-the money put option.

Introduction:

At-the-money: When an option’s strike price is the same as the underlying asset’s price, it is a situation of at-the-money.

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Explain that an at-the-money call option on a given stock must cost more than an at-the-money put option on that stock with the same maturity. The stock will pay no dividends until after the expiration data.
A non-dividend-paying stock has a current price of 800 ngwee. In any unit of time (t, t + 1) the price of the stock either increases by 25% or decreases by 20%. K1 held in cash between times t and t + 1 receives interest to become K1.04 at time t + 1. The stock price after t time units is denoted by St.Required:I. Calculate the risk-neutral probability measure for the model.II. Calculate the price (at t = 0) of a derivative contract written on the stock with expiry date t = 2 which pays 1,000 ngwee if and only if S2 is not 800 ngwee (and otherwise pays 0).
Calculate the profit or loss per share of stock to an investor who buys a call option on a stock whose price is K90 but a call option exercise price if K100 if the stock price at expiration is K105.                                                                    Calculate the profit or loss for a purchaser of a put option with the same exercise price and expiration?
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