A put option will mature in six months. The standard deviation of the underlying stock returns is 50% per year. The exercise price of the put option is $50 and the stock price is also $50. The risk-free interest rate is 3% per year. Using the Black- Scholes formula, what is the price of the put option? Show detailed work leading to our answer in the working sheet. $6.34 $7.08 $8.07

A put option will mature in six months. The standard deviation of the underlying stock returns is 50% per year. The exercise price of the put option is $50 and the stock price is also $50. The risk-free interest rate is 3% per year. Using the Black- Scholes formula, what is the price of the put option? Show detailed work leading to our answer in the working sheet. $6.34 $7.08 $8.07

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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Similar questions

A stock of 9 is currently priced at $38. A call option with an expiration of one year has an exercise price of $40. The risk-free rate is 4.2 percent per year, compounded continuously, and the standard deviation of the stock's return is infinitely large. What is the price of the call option?
The common stocks of DEF Inc. currently sell for P38. There is a call option on this stock with an exercise (strike) price of P40. At the end of year 1, there is a 50% chance that the price will be P35, and another 50% chance that it will be P55. The risk-free rate of return is 5%. What is the value of the riskless hedge portfolio today?
13. 3. Build a three-step CRR stock price tree using the following information:•maturity: 3 months, i.e. each step is one month•annual volatility of the stock: 0.35•annual, continuously compounded risk-free rate: 1%•stock price today: 50 (b) Calculate the price of an American put option with strike K = 50.
Suppose the stock price is 40 and we need to price a call option with a strike of 45 maturing in 4 months. The stock is not expected to pay dividends. The continuously-compounded riskfree rate is 3%/year, the mean return on the stock is 6%/year, and the standard deviation of the stock return is 40%/year.
M4
Give typing answer with explanation and conclusion J&J stock price is currently trading at $100. Over each of the next two three-month periods it is expected to go up by 8% or down by 7%. The risk-free interest rate is 5% per annum with continuous compounding. What is the value of the first 3-month if it is expected to down by 7% European call option with a strike price of $95? Compute the current price if use American call option with a strike price of $95. (draw the tree figure for stock movement).
A stock price is currently $43 . It is known that at the end of one month it will be either $45 or $41 . The risk-free interest rate is 7% per annum with continuous compounding. What is the value of a one-month European call option with a strike price of $42 ?
A stock price is currently $60. You predict that at the end of 6 months stock price will increase or decrease by 20%. The risk-free interest rate is 10% per annum with continuous compounding. What is the value of a 6-month European put option with a strike price of $60?
The risk-free rate is 8% per annum with continuous compounding. The price of stock CPU is $30. CPU currently does not pay a dividend. You use a two-step tree to price a European put on CPU with a strike price of $32. The option expires in six months. If you estimate that u=1.1 and d=0.9, what is the price of your put? A.$1.50 B.$2.24 C.$1.88 D.$2.56
The spot price of a non-dividend paying stock is recorded as ₺100 at the close of the day. You estimate that this price is equally likely to go up by 11.1% or go down by 10% every two months and observe that the continuously compounded annual risk-free rate is 20% per year across all maturities. Use a multistep binomial tree together with the risk-neutral valuation approach to compute the theoretical price of a European put option written on this stock with a strike price of ₺80 and exactly six months until expiration
A stock price with an expected return of 26% and a volatility of 30% . The current price is $48 . What is the probability that a European call option on the stock with an exercise price of $50 and a maturity date in six months will be exercised
The current market share price of Belta Airlines plc is $20. Every month, the stock price is expected either to increase by a multiplicative factor u = 1.1, or decrease by d = 0.91. The relevant annual continuously compounded risk-free rate of interest is 6%. 2. (a) What, according to the binomial option pricing model, will be the price of a 3-month European put option on a share of Belta stock, with a strike price of £19.50? (b) (c) What would the price of the put option was American style? If your answers to parts (a) and (b) differ, why do they differ?

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