EBK INVESTMENTS
EBK INVESTMENTS
11th Edition
ISBN: 9781259357480
Author: Bodie
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 20, Problem 12PS

a

Summary Introduction

To compute:The Value of a stock-plus-put position as on the ending date of the option.

Introduction:

Put-Call parity relationship: It is a relationship defined among the amounts of European put options and European call options of the given same class. The condition implied here is that the underlying asset, strike price, and expiration dates are the same in both the options. The Put-Call

Parity equation is as follows: EBK INVESTMENTS, Chapter 20, Problem 12PS , additional homework tip  1

Where C= Call premium

P=Put premium

X=Strike Price of Call and Put

r=Annual interest rate

t= Time in years

S0= Initial price of underlying

b

Summary Introduction

To compute: The value of the portfolio as on the ending date of the option when portfolio includes a call option and zero-coupon bond with face value (X+D) and make sure its value equals the stock plus-put portfolio.

Introduction:

Value of the portfolio:It is also called as the portfolio value. The present value on a specific date derived after calculating the cash availability for debt service at a certain discounted rate can be termed as value of the portfolio.

c.

Summary Introduction

To compute: The cost of establishing above said portfolios and derives the put-call parity relationship.

Introduction:

Put-Call parity relationship: It is a relationship defined among the amounts of European put options and European call options of the given same class. The condition implied here is that the underlying asset, strike price, and expiration dates are the same in both the options. The Put-Call Parity equation is as follows: EBK INVESTMENTS, Chapter 20, Problem 12PS , additional homework tip  2

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Consider a portfolio that consists of the following four derivatives: 1) a put option written(sold) with strike price K − 5, 2) a call option purchased with strike price K − 5, 3) a call option written(sold) with strike price K + 5, and 4) a put option purchased at strike price K + 5. All options are European.The risk-free rate is rf , the time to expiration is T, the initial stock price is S0, and the stock price atmaturity is ST . What are the payoffs at expiration of this portfolio? What must the price of this portfoliobe?
Show how you would make a portfolio delta-neutral and also self-financing by including bonds and call options to a stock that is currently traded at sh. 100, given that the delta for the call = 0.2499 and the call price = sh5.55.
3. A Consider two portfolios: Portfolio A consists of one European call option plus an zero which pays K at time T; Portfolio B consists of one European put option plus a share of the underlying stock. The stock pays no dividend. Both options have the same underlying stock, the same expiration date T and the strike price K. Graph the time-T value of both portfolios (in separate pictures) as functions of the stock price S = S(T).
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