Use the Black-Scholes formula to value the following options: a. A call option written on a stock selling for $78 per share with a $78 exercise price. The stock's standard deviation is 8% per month The option matures in three months. The risk-free interest rate is 1.75% per month. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Call value 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.) Put value

Use the Black-Scholes formula to value the following options: a. A call option written on a stock selling for $78 per share with a $78 exercise price. The stock's standard deviation is 8% per month The option matures in three months. The risk-free interest rate is 1.75% per month. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Call value 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.) Put value

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter20: Financing With Derivatives

Section20.A: The Black-scholes Option Pricing Model

Problem 1P

See similar textbooks

Similar questions

Suppose that a call option with a strike price of $48 expires in one year and has a current market price of $5.17. The market price of the underlying stock is $46.25, and the risk-free rate is 1%. Use put-call parity to calculate the price of a put option on the same underlying stock with a strike of $48 and an expiration of one year. The price of a put option on the same underlying stock with a strike of $48 and an expiration of one year is $. (Round to the nearest cent.)
You are given the following information concerning options on a particular stock: Stock price= Exercise price= Risk-free rate= Maturity= Standard deviation= $83 Intrinsic value=$ $80 6% per year, compounded continuously 6 months 47% per year (a)What is the intrinsic value of the call option? (Please keep two digits after the decimal point.) (b)What is the time premium of the call option? (Please keep two digits after the decimal point.) Time premium of the call option=$
The Black-Scholes model is used to value call options on the stock of National Co. The following information was identified:· The share price is P43.· The option matures in 6 months· The risk-free rate is 2%.· Price of the option is at P43.What is the exponent of “e” for in computing the value of the call option using the Black-Scholes model?
Find the implied volatility (to 2 decimals, for example, �=8.23% ) of a Put option with a time to expiration of 11 months and a price of $6.13 The stock is currently trading at $47. The riskless rate is 2% per annum, and the strike/exercise price of the option is $50. Hint: compute the Put price using the same formula as in exercise 4 , as a function of the volatility �. Then use Solver to change the volatility cell in order to obtain a price of $6.13 \table[[�1=,-0.0614997,,So =,47],[�2=,,4,�=,50],[,,,�=,2%
A call option currently sells for $9.25. It has a strike price of $45 and six months to maturity. A put with the same strike and expiration date sells for $7.50. If the risk-free interest rate is 6.3 percent, what is the current stock price? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Current stock price
A call option is currently selling for $5.30. It has a strike price of $60 and six months to maturity. A put option with the same strike price sells for $7.80. The risk-free rate is 4.3 percent, and the stock will pay a dividend of $2.80 in three months. What is the current stock price? (Do not round intermediate calculations. Round your answer to 2 decimal places. Omit the "$" sign in your response.) 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…
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.
What is the value of a put option if the underlying stock price is $44, the strike price is $37, the underlying stock volatility is 49 percent, and the risk-free rate is 5.6 percent? Assume the option has 137 days to expiration. (Use 365 days in a year. Do not round intermediate calculations. Round your answer to 2 decimal places.) Value of a put option
Calculate the value of a call option for the following stock. Use the Black-Scholes formula. Time to expiration Standard deviation Exercise price Stock price Annual interest rate Dividend 6 months 50% per year $50 $50 3% 0 (Do not round intermediate calculations. Round your answer to 2 decimal places.) Value of a call option
A stock is currently trading for $25 per share and an investor is interested in the following two options with a one year expiration term. Options Call Put Strike Price $28 $24 Quoted Price $2 $4 a) Calculate the intrinsic values of the call and put. b) Draw the profit diagram for a short position in the put option described above. Label the diagram well. Show all the critical points on the diagram. For example, the intercepts on axes, maximum profit or maximum loss. What price movements are required for the investor to have a positive profit? c) Draw the profit diagram for a long position in the call option. And label the diagram well. d) Suppose one month later, the stock price moves up to $30 per share, how will the prices of the call and put change? Why? Briefly explain. e) Suppose an investor purchased 10 contracts of the 28 calls and sold 10 contracts of the 24 puts. If the stock price turns out to be $30 per share in one month, what is the total profit for this investor?
A stock is currently selling for $45. Over the next two periods, the stock will move up by a factor of 1.23 or down by a factor of .61 each period. A call option with a strike price of $54 is available. If the risk-free rate of interest is 3.2 percent per period, what is the value of the call option? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Value of the call option