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 Value of a call option $50 3% 0 (Do not round intermediate calculations. Round your answer to 2 decimal places.)

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 Value of a call option $50 3% 0 (Do not round intermediate calculations. Round your answer to 2 decimal places.)

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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Problem 1. Assume that the interest rate is 5%, contimuously compounded annually, and consider call and put options of both American and European style expiring in 6 months on non-dividend paying stock. For each of the following scenarios, check if you can find an arbitrage opportunity and, if you can, describe it: (i) The strike price of a European put option is $3 and the option is traded at $4. (ii) The shares are traded at $3 and the American call option is traded at $3.20.
■ Yegi’s Fine Phones has a current stock price of $30. You need to findthe value of a call option with a strike price of $32 that expires in3 months. Use the binomial model with one period until expiration(i.e., t = 0.25 and n= 1). The factor for an increase in stock price isu = 1.15; the factor for a downward movement is d = 0.85. Whatare the possible stock prices at expiration? ($34.50 or $25.50)What are the option’s possible payoffs at expiration? ($2.50 or$0) What are pu and pd? (0.5422 and 0.4429) What is the currentvalue of the option (assume each month is 1/12 of a year)? ($1.36)
Use the Black-Scholes formula for the following stock: Time to expiration 6 months Standard deviation 60% per year Exercise price $57 Stock price $57 Annual interest rate 3% Dividend 0 Recalculate the value of the call with the following changes: a. Time to expiration 3 months b. Standard deviation 25% per year c. Exercise price $64 d. Stock price $64 e. Interest rate 6% Select each scenario independently. Note: Round your answers to 2 decimal places.
D4) Finance Calculate the price of a 3-month American put option on a non-dividend-paying stock when the stock price is $50, the strike price is $50, the risk-free interest rate is 5% per annum, and the volatility is 25% per annum. Use a binomial tree with a time interval of 1 month.
Use the Black-Scholes formula to find the value of a call option on the following stock: Time to expiration Standard deviation Exercise price Stock price Annual interest rate Dividend Value of the Call Option 6 months 60% per year $57 $64 38 0
Suppose you buy a stock at $70 together with a put option with a strike of $70 and a premium of $5. Your minimum payoff at expiration is $_----
The stock price of Copious Corp. is currently $30. The stock price 1 year(s) from now will be either $34 or $27. The annual risk-free rate is 1.4%. Using the binomial model, what is the value of a call option with an exercise price of $30 and an expiration date 1 year(s) from now?
Put-Call Parity The current price of a stock is $33, and the annual risk-free rate is 6%. A call option with a strike price of $31 and with 1 year until expiration has a current value of $5.58. What is the value of a put option written on the stock with the same exercise price and expiration date as the call option? Do not round intermediate calculations. Round your answer to the nearest cent. $
The current price of a non-dividend paying stock is $30. Use a two-step tree to value a European put option on the stock with a strike price of $32 that expires in 6 months. Each step is 3 months, the risk free rate is 896, and u = 1.1 and d = 0.9. O $2.24 $2.44 $2.64 $2.84
Back Open in Safa Consider a stock with a volatility of its logarithm of =0.2. The current price of the stock is $88 and it pays no dividends. Find the option prices on this stock that has an expiration date 4 months from now and a strike price of $90. The current interest rate is 15% compounded monthly. (Write the answers with two decimal places. x.yz) European call option premium European put option premium = $4 Home Courses Tasks Calendar Messages Back Open in Safa European put option premium =| American call option premium = 24 American put option premium = %24 %24
Consider a European put option on a non-dividend paying stock with exercise price 100 USD and expiration time in one year. Interest rate is 1 percent and the price of the stock today is 75 USD. For what price of the option is the Black-Scholes implied volatility equal to 0.35 Use excel.
Use the Black-Scholes formula for the following stock: Time to expiration 6 months Standard deviation Exercise price Stock price 41% per year $42 $41 Annual interest rate 7% Dividend Calculate the value of a call option. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Value of a call option

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