   Chapter 18, Problem 9P Fundamentals of Financial Manageme...

14th Edition
Eugene F. Brigham + 1 other
ISBN: 9781285867977

Solutions

Chapter
Section Fundamentals of Financial Manageme...

14th Edition
Eugene F. Brigham + 1 other
ISBN: 9781285867977
Textbook Problem

BINOMIAL MODEL The current price of a stock is $50. In 1 year, the price will be either$40 or $70. The annual risk-free rate is 4%. The stock has an exercise price of$55 and expires in 1 year. a. Find the range of values for the ending stock price and the call option at the option’s expiration in 1 year. b. Equalize the range of payoffs for the stock and the option. c. Create a riskless hedged investment. What is the value of the portfolio in 1 year? d. What is the cost of the stock in the riskless portfolio? e. What is the present value of the riskless portfolio? f. From your answers in parts d and e, what is the value of the firm’s call option?

a.

Summary Introduction

To determine: The range of values for the ending price of stock and call option.

Introduction:

A type of security in a company that denotes ownership is termed as stock. Every company can raise capital funds by issuing stocks.

Explanation

Given information:

The annual risk-free rate of s stock is 4% and present stock price is $50. The price might be$40 or $70 in one year. The stock has an exercise price of$55 and time until expiration is 1 year.

The formula to compute the range is as follows:

Range=Ending PriceExercise price

Compute the range of values for the ending price of stock and call option:

The table below shows the Excel formula to calculate the range of values for the ending price of stock and call option:

b.

Summary Introduction

To determine: The range of payoff for option and stock.

Introduction:

Option is a contract to purchase a financial asset from one party and sell it to another party on an agreed price for a future date.

c.

Summary Introduction

To determine: The value of portfolio in one year by creating a riskless hedged investment.

Introduction:

A set of financial investments owned by the investor is termed as Portfolio.

d.

Summary Introduction

To determine: The cost of the stock in the riskless portfolio.

e.

Summary Introduction

To determine: The present value of riskless portfolio.

f.

Summary Introduction

To determine: The value of call option of the firm.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts 