Label the following for this diagram a. Name of options payoff b. identify whether positive or negative premium identify breakeven point d. What is the profit or loss when stock price is $60 at maturity . Suppose you have this options position, should you exercise your right (if any) assuming that the stock price is S60 at maturity Option Payoffs and Profits Long put $40 $20
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- 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 = 0.49An analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 10%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 4.8%. If ai = 0, bi = 1.2, ci = 20.4, and di = 1.3, what is the stock’s predicted return?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 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?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. $You are facing three stock investment alternatives, Stock A, Stock B and Stock C. Given the following information, please indicate which stock is (are) overvalued, which stock is (are) undervalued, and which stock is (are) correctly priced based on the required returns calculation using the Capital Asset Pricing Model (CAPM or Security Market Line=SML). The risk free rate is 3% and the risk premium for the market index return is 5%. Please Show Work Expected Stocks Returns BETA A 14% 1.2 B 8% 0.67 C 20% 2.5
- 1. 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 The Call option value is 3.77. and put option value is 1.99 Suppose a European put options has a price higher than that dictated by the putcall parity. a. Outline the appropriate arbitrage strategy and graphically prove that the arbitrage is riskless. Note: Use the call and put options prices above)b. Name the options/stock strategy used to proof the put-call parity. explainc. What would be the extent of your profit in (a) depend on? explain1. 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 The Call option value is 3.7739. and put option value is 1.8101 Suppose a European put options has a price higher than that dictated by the putcall parity. a. Outline the appropriate arbitrage strategy and graphically prove that the arbitrage is riskless. Note: Use the call and put options prices 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?You think MBB stock has potential for an upward move in price. You have noposition whatsoever in the stock now. You would like to take opportunity of anyup movement in price but want to strictly limit your downside risk. MBB stock pricenow is RM 12.00. a. Given the information below, outline TWO possible appropriate strategies. Foreach strategy,• State the position• Graph the strategy• Outline the risk profile, and• State the maximum profit, maximum loss, and break-even point(s). 30-day calls 30-day put 11 call @ 1.55 11 put @ 0.25 12 call @ 0.70 12 put @ 0.45 12 call @ 0.22 13 put @ 1.40
- Using the following information, calculate the overall payoff on the option given the stock price at maturity. Exercise price: 50.00 Premium: 7.00 Call / put: Call Long / short: Short Stock price at maturity 40.00 Select one: A) (7.00) B) 7.00 C) 3.00 D) (3.00)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. $Suppose that both a call option and a put option have been written on a stock with an exerciseprice of $40. The current stock price is $42, and the call and put premiums are $3 and $0.75,respectively. Draw fully labelled profit diagrams of a long call and a short put.