4. Assume the following for a stock and a call and a put option written on the stock.
EXERCISE PRICE = $20
CURRENT STOCK PRICE = $22
VARIANCE = .25
TIME TO EXPIRATION = 4 MONTHS
RISK FREE RATE = 3%
B) Use the Black Scholes procedure to determine the value of the call option and the value of a put.
Value of call option = $3.65
Value of put option = $1.46
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4. Assume the following for a stock and a call and a put option written on...
. Assume the following for a stock and a call and a put option written on the stock. EXERCISE PRICE = $20 CURRENT STOCK PRICE = $22 VARIANCE = .25 Standard Deviation = .50 TIME TO EXPIRATION = 4 MONTHS T = .33 RISK FREE RATE = 3% Use the Black Scholes procedure to determine the value of the call option and the value of a put.
Consider the following call option: The current price of the stock on which the call option is written is $32.00; The exercise or strike price of the call option is $30.00; The maturity of the call option is .25 years; The (annualized) variance in the returns of the stock is .16; and The risk-free rate of interest is 4 percent. Use the Black-Scholes option pricing model to estimate the value of the call option.
Problem 2 (15 points) 10 noitz 2.102/ What is the value of a call option, put option and deltas given the Black-Scholes model and the following information? Stock price = $76 Exercise price = $70 Time to expiration = 9 months o Risk-free rate = 5% Standard deviation = 49%
Use Black Scholes to Value the put and call given the following criteria. The stock price six months from the expiration of an option is $43.00, the exercise price of the option is $39, the risk free interest rate is 10 percent per annum, and the volatility is 20% per annum. A) c = 6.33, p = 0.43 B) c = 3.16, p = 1.06 C) c = 4.00, p = 1.90
1. What is the value of the following call option according to the Black Scholes Option Pricing Model? What is the value of the put options? Stock Price = $42.50 Strike Price = $45.00 Time to Expiration = 3 Months = 0.25 years. Risk-Free Rate = 3.0%. Stock Return Standard Deviation = 0.45.
2. A stock has two possible ending prices six months from now: $120 or $90. A call option written on this stock has an exercise price of $110. The option expires in six months. The risk-free rate is 6% per year. The current price of the stock is $100. a. Show how you can create a hedge portfolio using a combination of the stock and call option on this stock. b. What is the equilibrium price of the call option...
9. Put-call parity and the value of a put option Aa Aa E Consider two portfolios A and B. At the expiration date, t, both portfolios have identical payoffs. Portfolio A consists of a put option and one share of stock. Portfolio B has a call option (with the same strike price and expiration date as the put option) and cash in the amount equal to the present value (PV) of the strike price discounted at the continuously compounded risk-free...
Problem 22-8 Put-Call Parity A put option and a call option with an exercise price of $75 and three months to expiration sell for $1.35 and $5.70, respectively. If the risk-free rate is 4.4 percent per year, compounded continuously, what is the current stock price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Current stock price
Given the following parameters use put-call parity to determine the price of a put option with the same exercise price. Current stock price: $48.00 Call option exercise price: $50.00 Sales price of call options: $3.80 Months until expiration of call options: 3 Risk free rate: 2.6 percent Compounding: Continuous A) Price of put option = $5.48 B) Price of put option = $4.52 C) Price of put option = $6.13
Use the Black-Scholes model to find the price for a call option with the following inputs: (1) current stock price is $31, (2) strike price is $34, (3) time to expiration is 8 months, (4) annualized risk-free rate is 5%, and (5) variance of stock return is 0.36. Do not round intermediate calculations. Round your answer to the nearest cent.