Use the Black-Scholes formula to value the following options: A call option written on a stock selling for $77 per share with a $77 exercise price. The stock's standard deviation is 7% per month. The option matures in three months. The risk-free interest rate is 1.50% per month. A put option written on the same stock at the same time, with the same exercise price and expiration date. Please calculate a call value, and b - put value.

Use the Black-Scholes formula to value the following options: A call option written on a stock selling for $77 per share with a $77 exercise price. The stock's standard deviation is 7% per month. The option matures in three months. The risk-free interest rate is 1.50% per month. A put option written on the same stock at the same time, with the same exercise price and expiration date. Please calculate a call value, and b - put value.

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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Use the Black–Scholes formula to value the following options:a. A call option written on a stock selling for $72 per share with a $72 exercise price. The stock's standard deviation is 6% per month. The option matures in three months. The risk-free interest rate is 1.50% per month. (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. A put option written on the same stock at the same time, with the same exercise price and expiration date. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Please do not use excel, show work step by step, thank you
Please answer the five questions below. You may attach a spreadsheet or enter the answers in this box 1. A one year call option has a strike price of 50, expires in 6 months, and has a price of $4.74. if the risk free rate is 3%, and the current stock price is $45, what should the corresponding put be worth?
Consider an American Put option with time to expiry of 5 months and a strike price of 82. The current price of the underlying stock is 80. Divide the time to expiry into five 1-month intervals. In each interval, the stock price can either rise by 6, or fall by 6, with unknown probability. The risk-free rate is 4.2% per annum, continuously compounded. What is the value of the option. Please provide necessary calculations.
You are given the following information concerning options on a particular stock: Stock price= Exercise price= Risk-free rate= Maturity= Standard deviation= $83 Intrinsic value=$ $80 6% per year, compounded continuously 6 months 47% per year (a)What is the intrinsic value of the call option? (Please keep two digits after the decimal point.) (b)What is the time premium of the call option? (Please keep two digits after the decimal point.) Time premium of the call option=$
Consider a put option whose underlying asset is a stock index with 6 months to expiration and a strike price of $1000. Suppose the risk-free interest rate for the six months is 2% and that the option’s premium is $74.20. (a) Find the future premium value in six months. (b) What is the buyer’s profit is the index spot price is $1100? (c) What is the buyer’s profit is the index spot price is $900 Only typed answer
A call option is currently selling for $5.2. It has a strike price of $40 and five months to maturity. The current stock price is $42, and the risk-free rate is 5.4 percent. The stock will pay a dividend of $1.5 in two months. What is the price of a put option with the same exercise price? (Round your answer to 2 decimal places. Omit the "$" sign in your response.) Price of a put option
A call option is currently selling for $4.60. It has a strike price of $60 and three months to maturity. A put option with the same strike price sells for $7.20. The risk-free rate is 6 percent and the stock will pay a dividend of $2.10 in three months. What is the current stock price?
You have the following information about LearnMore Inc.’s stock and a two-month call option with a strike price of $140.00. LearnMore Inc.’s current stock price is $100.00. You are using the multiperiod binomial option pricing model to find the value of the two-month option with two periods. ∏u∏u and ∏d∏d values given here apply to any period. Data Collected for LearnMore Inc. u 1.5032 d 0.5922 ∏u∏u 0.2357 ∏d∏d 0.3555 You work with a junior analyst to calculate the value of the option, and she submits her inferences to you. Which of the following points are true in the case of LearnMore Inc.’s stock options? Check all that apply. The option payoff if the stock goes up in two months will be $10.32. The value of the two-month call option with a strike price of $140.00 at the end of two months will be $2.43. The value of the call option will always remain $2.43, irrespective of the time until expiration. LearnMore Inc.’s stock price…
A call option is the right to buy stock at $50 a share. Currently the option has six months to expiration, the volatility of the stock (standard deviation) is 0.30, and the rate of interest is 10 percent. A) What is the value of the option according to the Black-Scholes model if the price of the stock is $45, $50, or $55? B) What is the value of the option when the price of the stock is $50 and the option expires in six months, three months, or one month? C) What is the value of the option when the price of the stock is $50 and the interest rate is 5 percent, 10 percent, or 15 percent?
A stock is currently selling for $39. In one period, the stock will move up by a factor of 1.29 or down by a factor of .53. A call option with a strike price of $50 is available. If the risk-free rate of interest is 2.5 percent for this period, what is the value of the call option?
2. Use the Black-Scholes formula to find the value of a call option on the following stock: Time to expiration = 6 months; Standard deviation = 50% per year Exercise price = $50 Stock price = $ 50 Interest rate = 3% Find the value of a put option on the stock in the above problem with the same exercise price and expiration as the call option.
A call option is currently selling for $3. It has a strike price of $65 and six months to maturity. What is the price of a put option with a $65 strike price and six months to maturity? The current stock price is $66, and the risk-free interest rate is 5 percent.

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