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

a

Summary Introduction

To draw: A payoff graph to depict the portfolio in which a call option is written at strike price $195 and a put option is written at an exercise price of $190 in the month of January.

Introduction:

Payoff graph: It is supposed to be a graphical representation of potential outcomes of a strategy. The vertical axis depicts the profit/loss on option expiration day while the horizontal axis depicts the underlying asset price on expiration day.

b.

Summary Introduction

To compute: The profit or loss on the position where IBM sells an option at $198 and $205 on expiry date and after effect of selling at $160.

Introduction:

Strangle strategy: It is a situation where the investor has control over both call option and put option of the same asset. These options have different strike prices with the same expiry date. An investor makes use of this strategy when he/she is not sure about the increase or decrease in price.

c.

Summary Introduction

To evaluate: The break-even point of investment at two stock prices.

Introduction:

Break-even point on investment: This specifies when an investment will start generating a positive return. This can be computed easily with simple mathematics.

d.

Summary Introduction

To analyze: The kind of betting the investor is making and the belief of investor to justify the stock price.

Introduction:

Strangle strategy: It is a situation where the investor has control over both call option and put option of the same asset. These options have different strike prices with the same expiry date. An investor makes use of this strategy when he/she is not sure about the increase or decrease in price.

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Consider the following options portfolio. You write an August expiration call option on IBM with exercise price $150. You write an August IBM put option with exercise price $145.a. Graph the payoff of this portfolio at option expiration as a function of IBM’s stock price at that time.b. What will be the profit/loss on this position if IBM is selling at $153 on the option expiration date? What if IBM is selling at $160? c. At what two stock prices will you just break even on your investment?d. What kind of “bet” is this investor making; that is, what must this investor believe about IBM’s stock price to justify this position?
Use the Black-Scholes model to find the price for a call option with the following inputs: (1) current stock price is $30, (2) strike price is $34, (3) time to expiration is 6 months, (4) annualized risk-free rate is 7%, and (5) variance of stock return is 0.09. Do not round intermediate calculations. Round your answer to the nearest cent.
Use the Black-Scholes Model to find the price for a call option with the following inputs: (1) current stock price is $30, (2) strike price is $35, (3) time toexpiration is 4 months, (4) annualized risk-free rate is 5%, and (5) varianceof stock return is 0.25.
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