You want to price an American Put option that is written on the stock of Shelby Ltd. The price of the stock is £20, the risk-free interest rate is 5%, the annualised volatility of the stock is 42% and the option expires in 5 months. Given that information, calculate the up-multiplier to be used in a nine-step binomial tree.

You want to price an American Put option that is written on the stock of Shelby Ltd. The price of the stock is £20, the risk-free interest rate is 5%, the annualised volatility of the stock is 42% and the option expires in 5 months. Given that information, calculate the up-multiplier to be used in a nine-step binomial tree.

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter5: Financial Options

Section: Chapter Questions

Problem 6P: Binomial Model The current price of a stock is 20. In 1 year, the price will be either 26 or 16. The...

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Binomial Model The current price of a stock is 20. In 1 year, the price will be either 26 or 16. The annual risk-free rate is 5%. Find the price of a call option on the stock that has a strike price of 21 and that expires in 1 year. (Hint: Use daily compounding.)
You need to price a put option on the stock of APPLE with an exercise price of $50 and six months to expiration. The current stock price of APPLE is $52, the risk-free rate is 10% p.a. (c.c.) and the volatility of the stock price of APPLE is 30% p.a. APPLE will pay a dividend of $1 in exactly four months’ time. This put option is to be priced using a two-period binomial option pricing model, with three months in each period. QUESTION: Draw the two-period tree diagram for the adjusted stock price (that recognizes the impact of the dividend) of APPLE. Show the expiration date payoffs from the put option.
Consider a two-period binomial tree model with u = 1.1 and d = 0.90. Suppose the current price of the stock is $50 and the nominal interest rate is 2%. What is the value of an American put with a strike price of $60 that will expire in 3 months? Use at least four decimal places for those questions that require a numerical answer.
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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