The following two-step binomial cree depicts the quarterly price bath of an underlying share for an American call option. Each step represents a quarter of a year. The strike price of this option is $40 and the risk free rate is 5% pa. a) Calculate the payoff of the option at point (b). Give your answer in dollars and cents to the nearest cent. Payoff at point (b) = $ b) Calculate the value of the Binomial Share Prices a) b) c) d) e) f) $41.00 $43.87 $38.13 $46.94 $40.80 $35.46

The following two-step binomial cree depicts the quarterly price bath of an underlying share for an American call option. Each step represents a quarter of a year. The strike price of this option is $40 and the risk free rate is 5% pa. a) Calculate the payoff of the option at point (b). Give your answer in dollars and cents to the nearest cent. Payoff at point (b) = $ b) Calculate the value of the Binomial Share Prices a) b) c) d) e) f) $41.00 $43.87 $38.13 $46.94 $40.80 $35.46

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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Basic information of an American put option: Remaining maturity: two month; risk-free rate: 5% (continuously compounded); the underlying current Price: 50; Annual Volatility: 20%; Final Price: 50. Try to construct a two-phase binary tree to price it
One share of Napier Inc. is currently trading at $84 per share. In one year, the price is expected either (1) rise to $105 or (2) fall to $60. You are interested in purchasing a call option on Napier, Inc. The option has a strike price of $92 and expires in 1 year. The current risk-free rate for the year is 4%. Based on binomial options pricing (as shown in class), what is a fair price for this option? Answer to the nearest cent, with no punctuation. That is, $5.289 should be entered at 5.29.
Consider a call option on one share of BP with a strike price of $70 and exercise time 1 quarter (3 months). Suppose the current stock price for BP is S(0) = $65 per share. Suppose further that A(0) = $100, A(1) = $102 and two possible prices for S(1) are S $74 with probability 0.5, S(1) = $66 with probability 0.5. Evaluate the expected returns E(Ks) and E(Kc) for the stock and the option.
The current price of a stock is $22, and at the end of one year its price will be either $29 or $15. The annual risk-free rate is 3%, based on daily compounding. A 1-year call option on the stock, with an exercise price of $22, is available. Based on the binominal model, what is the option's value?
What is the price of an American CALL option that is expected to pay a dividend of $2 in three months with the following parameters? s0 = $40d = $2 in 3 monthsk = $43 r = 10%sigma = 20%T = 0.5 years (required precision 0.01 +/- 0.01)
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? $ 2.65 $ 1.78 $ 3.69 $ 4.22 None of the above
1) In a one-period binomial model, assume that the current stock price is $100, and that it will rise to $130 or fall to $70 after one month. The gross one month risk - free rate is 1.02 %. Using risk neutral pricing, what is the price of a 100- strike one-month call option? Round your calculaton for q and 1 - q to four (4) decimal places. a. $14.90 b. $14.71 c. $15.05 d. $15.69 2) In a one-period binomial model, assume that the current stock price is $100, and that it will rise to $120 or fall to $80 after one month. The gross one month risk - free rate is 1.03%. Using risk neutral pricing, what is the price of a 100-strike one-month put option? Round your calculaton for q and 1 - q to three (3) decimal places a. $8.00 b. $8.25 c. $8.50 d. $8.75
Assume that K=61, St =65, t = 0.25 (i.e. time to expiry is 3 months), and the risk-free rate is 0.04. The current price of the put option is p = 4. If the price of the call option is 7.17, describe the arbitrage that would be possible, and calculate the profit that would result.
The market price of JS stock is currently $30. It is known that at the end of three months it will be either $33 or $27. The risk-free interest rate is 8% per annum with continuous compounding. (a) Use a one-step binomial tree to calculate the value of a three-month European put option on the JS stock with a strike price of $31? Use no-arbitrage arguments (you need to show how to set up the riskless portfolio). (b) Use the same one-step binomial tree and your results from (a) to determine the price of a three-month American put option on the JS stock with a strike price of $31

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