You use the Black Scholes model to price a Call option on a stock with discrete dividends. The dividends will be given in months 1, 5, and 9, each 3 USD. The current value of the stock is 105 USD, the strike price is 90 USD, the continuously compounded annual risk-free rate is 0.05, the volatility is 0.08, the time to maturity is 12 months. Calculate the price of the option.

You use the Black Scholes model to price a Call option on a stock with discrete dividends. The dividends will be given in months 1, 5, and 9, each 3 USD. The current value of the stock is 105 USD, the strike price is 90 USD, the continuously compounded annual risk-free rate is 0.05, the volatility is 0.08, the time to maturity is 12 months. Calculate the price of the option.

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

Compute the Black-Scholes price of a put option on a stock which does not pay dividends and has the volatility 0.2, if its exercise price is 200 USD and expiration in one year. Interest rate is zero and the price of the stock is 180 USD. use excel.
Compute the Black-Scholes price of a call option on a stock which does not pay dividends and has the volatility 0.2, if its exercise price is 200 USD and expiration in one year. Interest rate is zero and the price of the stock is 180 USD. Use excel.
If a particular stock does not pay dividends and is currently priced at $24 per share, what should be the price of a call option with a maturity of one year and a strike price of $24.5 if put options with the same features currently cost $2? Assume a risk-free rate of 2%. (use 5 decimal places)
Assume a stock price is P120, and in next year, it will either rise by 10 percent or fall by 20 percent. The risk-free interest rate is 6%. A call option on this stock has an exercise price of P130. What is the chance that the stock price will rise? a. 93% b. 87% c. 50% d. 94%
Suppose that call options on ExxonMobil stock with time to expiration 3 months and strike price $90 are selling at an implied volatility of 30%. ExxonMobil stock currently is $90 per share, and the risk-free rate is 4%.a. If you believe the true volatility of the stock is 32%, would you want to buy or sell call options?b. Now you need to hedge your option position against changes in the stock price. How many shares of stock will you hold for each option contract purchased or sold?
Please help solve in Excel. Suppose there is a stock that has a current price of $89.50. The risk free rate is 1%. There is an option with a price of $8.67 and a strike price of $85. This option will expire in 4 months. What is the implied volatility of this stock?
Suppose that a stock price is currently 49 dollars, and it is known that one month from now, the price will be either 8 percent higher or 8 percent lower. Find the value of an American call option on the stock that expires one month from now, and has a strike price of 51 dollars. Assume that no arbitrage opportunities exist, and a risk-free interest rate of 7 percent.
Suppose a stock is currently (time t = 0) worth 100. Further, suppose the one year annually compounded interest rate is 2%, and the two year annually compounded rate is 3%. Find the following:a) The forward price for a forward contract on the stock with maturity year T1 = 1. b) The forward price for a forward contract on the stock with maturity year T2 = 2.c) The forward price for a forward contract with maturity T1 = 1 on a ZCB with maturity T2 = 2.d) The forward price for a forward contract with maturity T1 = 1 on a forward contract on the stock with maturity T2 = 2 and delivery price K = 101.
Suppose that the current price of Roblox Corporation common stock is (RBLX) is $100. If the price of RBLX will be either $150 or $50 one year from now, what is the price of a call option with a strike price of $120 expiring one year from now? Assume that the current risk free rate is 1%. What is the risk neutral probability of the stock being $150 one year from now?
Compute the Black-Scholes price of a call option on a stock which does not pay dividends and has the volatility 0.2, if its exercise price is 200 USD and expiration in one year. Interest rate is zero and the price of the stock is 180 USD. Use excel and share the formula template.
Suppose that a stock price is currently 51 dollars, and it is known that one month from now, the price will be either 6 percent higher or 6 percent lower. Find the value of an American call option on the stock that expires one month from now, and has a strike price of 49 dollars. Assume that no arbitrage opportunities exist, and a risk free interest rate of 10 percent
Compute the Black-Scholes price of a put option on a stock which does not pay dividends and has the volatility 0.2, if its exercise price is 200 USD and expiration in one year. Interest rate is zero and the price of the stock is 180 USD. Use excel and share the formula template.