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- 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?Binomial Model The current price of a stock is 20. In 1 year, the price will be either 26 or 16. The annual risk-free rate is 5%. Find the price of a call option on the stock that has a strike price of 21 and that expires in 1 year. (Hint: Use daily compounding.)Suppose you buy a 100-strike call at a premium of $19.46, sell a 120-strikecall at a premium of $11.26, sell a 100-strike put at a premium of $5.45,and buy a 120-strike put at a premium of $15.68. Assume effective annualrisk-free interest rate of 8.5% and the expiration date of the options is oneyear.(a) Verify that there is no price risk in this transaction.(b) What is the initial cost of the position?(c) What is the value of the position at expiration?
- Suppose you buy GM put for P3, which matures in two months with a strike price of P60. GM is currently trading at P62.75. If the stock price of GM falls to P57 on the expiration date of the option, the rate of return of your put is at what amount?). Suppose the call option of Tesla company has an exercise price of $200 and expires in 90 days. Assume the current price of Tesla stock is $240, with a standard deviation of 40% per year. The risk-free interest rate is 6.18% per year. First, using the Black-Scholes formula, compute the price of the call. And then use put-call parity to compute the price of the put with the same strike and expiration date. Based on put-call parity, what should be the put option price? a. $ 2.65 b. $ 1.78 c. $ 3.69 d. $ 4.22 e. None of the aboveSuppose the call option of Tesla company has an exercise price of $200 and expires in 90 days. Assume the current price of Tesla stock is $240, with a standard deviation of 40% per year. The risk-free interest rate is 6.18% per year. First, using the Black-Scholes formula, compute the price of the call. And then use put-call parity to compute the price of the put with the same strike and expiration date. Based on put-call parity, what should be the put option price? $ 2.65 $ 1.78 $ 3.69 $ 4.22 None of the above
- a) An investor has a long call option on the market index at a strike price of $930. At expiration the index price is $920. Explain the profit and loss.b) The spot price of the market index is $900. After 3 months the market index is priced at $920. The annual rate of interest on treasuries is 4.8% (0.4% per month). The premium on the long put, with an exercise price of $930, is $8.00. Draw the payoff graph for the long put position at expiration. Include strike price, breakeven price, and max loss.Option has a strike price of $75 and expires 65 days from today. The return on a 65-day T-bill is 3.5% per year compounded continuously. G current stock price is $58 per share and the standard deviation of returns on NY is 46%. What is the value of this put optionA one year call option contract of Office Pro sells for $2,200. In one year, the stock price will be either $20 or $30. The exercise price on the call option is $15. What is the current value of the option if the risk-free rate is 8 percent? A.$ 3.48 B.$ 2.78 C.$ 8.11 D.It is impossible to determine with the given information.
- A call option has a strike price of 55, expires in 6 months, and has a price of $5.04. If the annual risk free rate is 5%, and the current stock price is $50, what should the corresponding put with the same exercise price and expiration date be worth?Suppose you bought a December British pound call option with an exercise price of $1.3000/£. The option price was $0.02/£. How much is your payoff if the spot price is $1.3500/£ at expiration? $0 $0.03 $0.04 $0.05 $0.06A power call option pays off (max(ST-X, 0))2 at time T, where ST is the stock price at time T and X is the exercise price. A stock price is currently $54. It is known that at the end of one year it will be either $60 or $50. The risk-free rate of interest with continuous compounding is 8% per annum. Calculate the value of a one year power call option with an exercise price of $55. a. What is the delta of the power call option? (sample answer: 1.55 or 0.55)b. What is the risk neutral probability of up movement? (sample answer: 55.50%)c. What is the value of the power option? (sample answer: $15.50)