6.11 A stock index is currently 990, the risk-freerate is 5%, and the dividend yield on the index is2%. Use a three-step tree to value an 18-monthAmerican put option with a strike price of 1,000when the volatility is 20% per annum. How muchdoes the option holder gain by being able toexercise early? When is the gain made?

A financial derivative known as an option gives its holder the right, but not the responsibility, to…

A stock index is currently 990, the risk-free is 5%, and the dividend yield on the index is Use a three-step tree to value an 18-month erican put option with a strike price of 1,000 en the volatility is 20% per annum. How much es the option holder gain by being able to rcise early? When is the gain made?

A stock index is currently 990, the risk-free is 5%, and the dividend yield on the index is Use a three-step tree to value an 18-month erican put option with a strike price of 1,000 en the volatility is 20% per annum. How much es the option holder gain by being able to rcise early? When is the gain made?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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A. Consider a stock worth K12.50 that can go up or down by 15% per period. Assume aperiod process of one. The risk-free rate is 10%. Find the value of the call optiontoday, with the strike price of K11.50. B. What is the price of a European put option on a non-dividend paying stock when thestock price is K69, the strike price is K70, the risk-free rate is 5% per annum, thevolatility is 35% per annum, and the time to maturity is 6 months?
The current price of a non- dividend paying stock is $38.52. Use a two-step tree to value a European call option on the stock with a strike price $32.3 that expires in 12 months. The risk free rate is 9.9% per annum, and the volatility is 28.1 % . What is the option price?
An investor decides to implement a STRADDLE using put options using the following data . The price of stock today is $ 59 , time frame is 6months , the staddle is constructed using a put and a call option with a strike price of $ 61 . The call cost $ 4 and put costs $ 3 . a ) What is the profit ( % ) if in 6 months , if the stock price is at $ 70 b ) What is the profit ( % ) if in 6 months , if the stock price is at $ 60 c ) At what stock price in the future , the investor will make the least / min profit ? d ) Why do investors implement / use this strategy ? For what reason ?
Suppose that Stock XYZ is currently trading at $50 and does not pay any dividends. Using a binomial tree with two periods, we would like to price a European down-and-in call option written on this stock with a strike price of $40, barrier level of $48 and expiration date in three months. Assume that annual continuously compounded interest rate is 5% and the volatility of the stock is 20% per year. What is the price of the barrier option? 0.7.28 0.9.45 O101 O 322
The current price of a non - dividend paying stock is $38.52. Use a two-step tree to value a European call option on the stock with a strike price $32.3 that expires in 12 months. The risk free rate is 9.9% per annum, and the volatility is 28.1%. What is the option price?
A power option pays off [max(S₁ - X),01² at time T where ST is the stock price at time T and X is the strike price. Consider the situation where X = 26 and T is one year. The stock price is currently $24 and at the end of one year it will either $30 or $18. The risk-free interest rate is 5% per annum, compounded continuously. What is the risk- neutral probability of the stock rising to $30? 0.500 0.603 0.450 None of the above
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.
A stock is selling today for $110. The stock has an annual volatility of 64 percent and the annual risk-free rate is 7 percent. Calculate the fair price for a 1 year European call option with an exercise price of $95. Calculate how much the current stock price would need to change for the purchaser of the call option to break even in one year. Calculate the fair price for a 1 year European put option with an exercise price of $95. Calculate how much the current stock price would need to change for the purchaser of the put option to break even in one year. Calculate the level of volatility that would make a $95 call option sell for $30. (Use Goal Seek or Solver). Calculate the level of volatility that would make a $95 put option sell for $8. (Use Goal Seek or Solver). Please show work in excel and functions/equations used.
he stock price of Copious Corp. is currently $31. The stock price 2 year(s) from now will be either $34 or $ 27. The annual risk - free rate is 7.2%. Using the binomial model, what is the value of a call option with an exercise price of $31 and an expiration date 2 year(s) from now?
XYZ stock has a current market price of $47.60 a share. the one-year call on XYZ stock with a strike price of $45 is priced at $3.20 whole the one-year put with a strike price of $45 is priced at $0.15. What is the risk-free rate of return?
Please show step by step work (not in excel): What is the call option premium given the following information? What would happen to the call price if the company initiated and paid a dividend before the expiration of the option? What would happen to the call premium if the expiration of the option expanded beyond the current 9 months? Stock price $36.00 Strike price $30.00 Volatility 16% Dividend Yield 0.00 Time 0.75 Riskfree Rate 2.70%
At time t=0 Mr. Anderson sets up a riskless portfolio by taking a position in an option and in the underlying asset. Explain what Mr. Anderson needs to do at time t=1 to keep his portfolio risk neutral and why. A stock price is currently $100 and at the end of four months it will be ST . A derivative written on this stock pays off expST1/3 in four months. Given that u = 1.15, d = 0.87, and that the risk-free interest rate is 10% p.a. (continuously compounded), answer the following questions using a one-period binomial model (show all the details of your calculations and display the results with four decimal places): Calculate the value of ∆ Calculate the current value of the derivative.

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