יThe following prices are available for call and put options on a stock priced at $50. The risk-free rate is 6 percent and thevolatility is 0.35. The March options have 90 days remaining and the June options have 180 days remaining. The Black-Scholes model was used to obtain the prices.CallsPutsStrikeMarchJuneMarchJune456.848.411.182.0950553.821.895.583.084.133.546.086.93Answer questions below a calendar spread based on the assumption that stock prices are expected to remain fairly constant. Use the June/March 50 call spread. Assume one contract of each.5What will the spread cost?

To calculate the cost of a calendar spread using the June/March 50 call options, we need to subtract…

Answered: י The following prices are available…

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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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?
a) ATH Berhad stock price 7.00 put on ATH Berhad stock 7.00 call on ATH Berhad stock You observe the following price quotes RM 7.30 RM 0.10 RM 0.50 Assuming the options have 15 days left to maturity, determine the intrinsie and time values of each option. Why is the call priced higher than put?
The following information is given about an Option on a stock: S(0)=$31, X=$34, rf=9%, variance (sigma squared)=20%, T=182.5 days, Dividend $1.75 in 45 days (1) Calculate the price of a European put option using the Black-Scholes pricing model (show all workings including d1, d2, N(d1), N(d2)) (2) Calculate the price of the corresponding European call option (hint: put call parity) (3) Suppose you feel that the put option is overpriced. What strategy should you use to exploit the apparent mispricing? (4) The market has entered a state of significant volatility, and you believe the implied volatility is incorrect. You believe it should be 10% higher. What trade would you undertake to exploit this arbitrage
The following prices are available for call and put options on a stock priced at $50. The risk-free rate is 6 percent and the volatility is 0.35. The March options have 90 days remaining and the June options have 180 days remaining. The Black-Scholes model was used to obtain the prices. Calls Puts Strike March June March June 45 6.84 8.41 1.18 2.09 50 3.82 5.58 3.08 4.13 55 1.89 3.54 6.08 6.93 Assume that each transaction consists of one contract (for 100 shares) unless otherwise indicated. What is the cost of the box spread if we are constructing a long box spread using the June 50 and 55 options? A. $76 B. $484 C. $2,018 D. $500
Consider a stock with a current price of P = $27.Suppose that over the next 6 months the stockprice will either go up by a factor of 1.41 or downby a factor of 0.71. Consider a call option on thestock with a strike price of $25 that expires in6 months. The risk-free rate is 6%.(1) Using the binomial model, what are the endingvalues of the stock price? What are the payoffsof 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?
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. $
Use the data in the figure 20.1 and calculate thepayoff and the profits for investments in each ofthe following January expiration options, assumingthat the stock price on the expiration date is $125.a. Call option, X=$120b. Put option, X=$120c. Call option, X=$125d. Put option, X=$125e. Call option, X=$130f. Put option, X=$130
A stock has a price of $37 and an annual return volatility of 59 percent. The risk-free rate is 3.13 percent. Perform calculations in Excel. a. Calculate the European call and European put option prices with a strike price of $38.00 and a 90-day expiration. (Use 365 days in a year. Do not round Intermediate calculations. Round your answers to 2 decimal places.) Call premium Put premium b. Calculate the deltas of the European call and European put. (Use 365 days In a year. A negative value should be Indicated by a minus sign. Do not round Intermediate calculations. Round your answers to 4 decimal places.) Call delta Put delta
Using the CAPM, estimate the appropriate required rate of return for the three stocks listed here, given that the risk-free rate is 6 percent and the expected return for the market is 14 percent. STOCK ВЕТА A 0.62 B 1.09 1.48 a. Using the CAPM, the required rate of return for stock A is %. (Round to two decimal places.) b. Using the CAPM, the required rate of return for stock B is %. (Round to two decimal places.) c. Using the CAPM, the required rate of return for stock C is %. (Round to two decimal places
3. A stock sells for $110. A call option on the stock has an exercise price of $105 and expires in 43 days. If the interest rate is 0.11 and the standard deviation of the stock’s return is 0.25. a) Calculate the call using the Black-Scholes model b) What would be the price of a put with an exercise price of $140 and the same time until expiration? c) How does an increase in the volatility and interest rate changes affect the underlying stock’s return on an option’s value? Explain.
Excel Online Structured Activity: Black-Scholes Model Assume the following inputs for a call option: (1) current stock price is $29, (2) strike price is $36, (3) time to expiration is 5 months, (4) annualized risk-free rate is 4%, and (5) variance of stock return is 0.31. Use the Black-Scholes model to find the price for the call option. Do not round intermediate calculations. Round your answer to the nearest cent.

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