Investments, 11th Edition (exclude Access Card)
Investments, 11th Edition (exclude Access Card)
11th Edition
ISBN: 9781260201543
Author: Zvi Bodie Professor; Alex Kane; Alan J. Marcus Professor
Publisher: McGraw-Hill Education
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Chapter 21, Problem 49PS

A

Summary Introduction

Adequate information:

Annualized standard deviation, s = 0.40

Time to maturity = 1 Year

One period = 1 Year

To Compute:

value of u and d as per binomial model

Introduction:

u= eσt

d= eσt

Where s = Standard deviation for the period

t= period

Summary Introduction

(B)

Adequate information:

Annualized standard deviation, s = 0.40

Time to maturity = 1 Year

One period = 3 months

To Compute:

value of u and d as per binomial model

Introduction:

u= eσt

d= eσt

Where s = Standard deviation for the period

t= period

Summary Introduction

(C)

Adequate information:

Annualized standard deviation, s = 0.40

Time to maturity = 1 Year

One period = 1 months

To Compute:

value of u and d as per binomial model

Introduction:

u= eσt

d= eσt

Where s = Standard deviation for the period

t= period

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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.
Suppose that S = $100, K = $100, r = 0.08, σ = 0.30, δ = 0, and T = 1. Construct a standard two-period binomial stock price tree using the method in Chapter 10. consider stock price averages computed by averaging the 6-month and 1-year prices. What are the possible arithmetic and geometric averages after 1 year? Construct a binomial tree for the average. How many nodes does it have after 1 year? (Hint: While the moves ud and du give the same year-1 price, they do not give the same average in year 1.) What is the price of an Asian arithmetic average price call? What is the price of an Asian geometric average price call?
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 .
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