Calculate the fair value of a put option using BSOPM based on the following information. Cumulative normal distribution table is provided at the back. Stock price Exercise price Annual interest rate RM40 P = Ke-N-d,) – S-N-d,) RM35 12% In(S/K) + [r + {o*/2)]T 180 days Maturity Standard deviation OVT 30% Dividend d = d, - aVT

Calculate the fair value of a put option using BSOPM based on the following information. Cumulative normal distribution table is provided at the back. Stock price Exercise price Annual interest rate RM40 P = Ke-N-d,) – S-N-d,) RM35 12% In(S/K) + [r + {o*/2)]T 180 days Maturity Standard deviation OVT 30% Dividend d = d, - aVT

Financial Management: Theory & Practice

16th Edition

ISBN:9781337909730

Author:Brigham

Publisher:Brigham

Chapter8: Financial Options And Applications In Corporate Finance

Section: Chapter Questions

Problem 5MC: In 1973, Fischer Black and Myron Scholes developed the Black-Scholes option pricing model (OPM). (1)...

See similar textbooks

Similar questions

In 1973, Fischer Black and Myron Scholes developed the Black-Scholes option pricing model (OPM). (1) What assumptions underlie the OPM? (2) Write out the three equations that constitute the model. (3) According to the OPM, what is the value of a call option with the following characteristics? Stock price = 27.00 Strike price = 25.00 Time to expiration = 6 months = 0.5 years Risk-free rate = 6.0% Stock return standard deviation = 0.49
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 $32 and with 1 year until expiration has a current value of $6.56. What is the value of a put option written on the stock with the same exercise price and expiration date as the call option?
A non-dividend-paying stock has a current price of 800 ngwee. In any unit of time (t, t + 1) the price of the stock either increases by 25% or decreases by 20%. K1 held in cash between times t and t + 1 receives interest to become K1.04 at time t + 1. The stock price after t time units is denoted by St.Required:I. Calculate the risk-neutral probability measure for the model.II. Calculate the price (at t = 0) of a derivative contract written on the stock with expiry date t = 2 which pays 1,000 ngwee if and only if S2 is not 800 ngwee (and otherwise pays 0).
You have been given the following information on Claiborne Industries: Current stock price = $32 Option’s exercise price = $32 d1 = 0.1735 d2 = 0.02735 N(d)1 = 0.56960 N(d)2 = 0.51091 Time until expiration of option = 3 months, or 0.25 of a year Risk-free rate = 6% Variance of stock price = 0.09 Using the Black-Scholes Option Pricing Model, what would be the option’s value? Round intermediate calculations to 6 decimal places. Round your answer to two decimal places. $
Find the current price of a one-year, R110-strike American put option on a non- dividend-paying stock whose current price is S(0) = 100. Assume that the continuously compounded interest rate equals r = 0.06. Use a two-period Binomial tree with u = 1.23, and d = 0.86 to calculate the price VP(0) of the put option.
Assume that you have been given the following information on Purcell Corporation's call options: Inputs Intermediate Calculations Current stock price = $12 d1 = 0.32863 Time to maturity of option = 9 months d2 = 0.05477 Variance of stock return = 0.10 N(d1) = 0.62878 Strike price of option = $12 N(d2) = 0.52184 Risk-free rate = 7% According to the Black-Scholes option pricing model, what is the option's value? Do not round intermediate calculations. Round your answer to the nearest cent. Use only the values provided in the problem statement for your calculations. $
The Black-Scholes model is used by Blue Co. to value call options of the stock of Gold Inc. The following information was determined:· The share price is P40.· The option matures in 1 year· Risk-free rate is 2.50%.· d1 = 0.70· d2 = 0.30The variance of the rate of return of the share is(in decimal)
Assume that you have been given the following information on Purcell Industries' call options: Current stock price = $14 Strike price of option = $13 Time to maturity of option = 9 months Risk-free rate = 6% Variance of stock return = 0.16 d1 = 0.51704 N(d1) = 0.69744 d2 = 0.17063 N(d2) = 0.56774 According to the Black-Scholes option pricing model, what is the option's value?
Suppose the current stock price of JuJube Inc is ¥100, the risk-free interest rate is 5%, the standard deviation is 25%, the time to maturity is 4 months, the strike price is ¥85, and the price of a call option is ¥25.20. Using the put-call parity relationship, the put option price is closest to A. ¥25.20 B. ¥16.40 C. ¥5.20 D. ¥8.80 E. None of the above
II. Suppose you have the following information concerning a particular options.Stock price, S = RM 21Exercise price, K = RM 20Interest rate, r = 0.08Maturity, T = 180 days = 0.5Standard deviation, = 0.5 a. What is correct of the call options using Black-Scholes model? b. Compute the put options price using Black-Scholes model? c. Outline the appropriate arbitrage strategy and graphically prove that the arbitrage is riskless.Note: Use the call and put options prices you have computed in the previous question (a) and (b) above.b. Name the options/stock strategy used to proof the put-call parity. c. What would be the extent of your profit in (a) depend on?
Assume that you have given the following information on CAB stock: Current price: ₱50 Variance: 0.20 Strike Price: ₱48 Risk-free rate: 3% per annum Maturity: 6 months e = 2.7183 What is the value of d1 that should be used in calculating the value of a call option? What is the value of d2 that should be used in calculating the value of a call option? Assume that N() is 0.6310 and N() is 0.5074. Compute the value of the call option.
The Black-Scholes model is used by Bulldogs Inc. to value call options on the stock of National Inc. The following information was determined by the analyst: · The share price is P30. · The price of the option is at P32. · The risk-free rate is 3%. · The option matures in 6 months In the formula of the current value of the call option under the Black-Scholes model, what is the exponent of “e” be? a. 0.25 b. -0.055 c. -0.015 d. 0.15