Financial Management: Theory & Practice
Financial Management: Theory & Practice
16th Edition
ISBN: 9781337909730
Author: Brigham
Publisher: Cengage
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Chapter 8, Problem 4MC

1.

Summary Introduction

Case summary:

Person X was hired by Company T as a financial analyst and he was asked to prepare a brief report which can be used by the executives to attain a cursory understanding on the topic. He used question and answer format to prepare the report. After the questions being drafted person X needs to answer to the questions.

To discuss: The stock price ending values and payoffs of the call option.

2.

Summary Introduction

To determine: The number of shares to buy to create a riskless payoff portfolio and pyof of the portfolio.

3.

Summary Introduction

To determine: The present value of the hedge portfolio and value of call option.

4.

Summary Introduction

To determine: The replicating portfolio and arbitrage

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Consider a stock with a current price of P = $27.Suppose that over the next 6 months the stockprice will either go up by a factor of 1.41 or downby a factor of 0.71. Consider a call option on thestock with a strike price of $25 that expires in6 months. The risk-free rate is 6%.(1) Using the binomial model, what are the endingvalues of the stock price? What are the payoffsof the call option?
Consider shorting a call option c on a stock S where S = 24 is the value of the stock, K = 30 is the strike price, T = ½ is the expiration date, r = 0.04 is the continuously compounded interest rate per year, and  = 0.3 is the volatility of the price of the stock. Determine the delta ratio Δ .
Suppose you are attempting to value a 1-year expiration option on a stock with volatility (i.e., annualized standard deviation) of σ = .40. What would be the appropriate values for u and d if your binomial model is set up using:a. 1 period of 1 year.b. 4 subperiods, each 3 months.c. 12 subperiods, each 1 month.
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