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 8PS
Summary Introduction

To determine:

and show that Black-Scholes call option hedge ratios increase as the stock price increases.

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Show that Black-Scholes call option hedge ratios also increase as the stock price increases. Consider a 1-year option with exercise price $50, on a stock with annual standard deviation 20%. The T-bill rate is 3% per year. Find N(d1) for stock prices (a) $45, (b) $50, and (c) $55.
Assume you want to price a call on a stock that has the price of $35 today. The option matures in one year and has the strike price of $34. Assume the stock price is equally likely to go up by 10% or down by 10% in one year, and you plan to use a one step binomial tree to price the call option. What is the hedge ratio (in decimal format, use 5 decimal places)?
Assume you want to price a call on a stock that has the price of $35 today. The option matures in one year and has the strike price of $34. Assume the stock price is equally likely to go up by 10% or down by 10% in one year, and you plan to use a one-step binomial tree to price the call option. What is the hedge ratio (in decimal format, use 5 decimal places)?
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