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Finance

Show that it is possible to replicate the stock payoff by borrowing and buying a call option.

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter20: Financing With Derivatives

Section20.A: The Black-scholes Option Pricing Model

Problem 1P

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Concept explainers

Risk and return

Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.

Capital Asset Pricing Model

Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.

Question

Assume that the current stock price is $50 per share, that call options can be purchased with an exercise price of $60 per share, that bank loans can be obtained for a 10 percent nominal rate, and that at expiration of the option in three months, the stock will either be valued at $30 or $70. Show that it is possible to replicate the stock payoff by borrowing and buying a call option.

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