Data: so = 140; X= 154; 1+r= 1.1. The two possibilities for Sm are 170 and 122. a-1. The range of S is 48 while that of C is 16 across the two states. What is the hedge ratio of the call? (Round your answer to 2 decimal places.) Hedge ratio a-2. Calculate the value of a call option on the stock with an exercise price of 154. (Do not use continuous compounding to calculate the present value of X in this example because we are using a two-state model here; the assumed 10% interest rate is an effective rate per period.) (Do not round intermediate calculations. Round your answer to 2 decimal places.) Call value

Data: so = 140; X= 154; 1+r= 1.1. The two possibilities for Sm are 170 and 122. a-1. The range of S is 48 while that of C is 16 across the two states. What is the hedge ratio of the call? (Round your answer to 2 decimal places.) Hedge ratio a-2. Calculate the value of a call option on the stock with an exercise price of 154. (Do not use continuous compounding to calculate the present value of X in this example because we are using a two-state model here; the assumed 10% interest rate is an effective rate per period.) (Do not round intermediate calculations. Round your answer to 2 decimal places.) Call value

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

See similar textbooks

Similar questions

We will derive a two-state call option value in this problem. Data: S0 = $190; X = $200; 1 + r = 1.10. The two possibilities for ST are $220 and $120. The portfolio consists of 1 share of stock and 5 calls short. Required: a. The range of S is $100 while that of C is $20 across the two states. What is the hedge ratio of the call? (Round your answer to 2 decimal places.) b. Calculate the value of a call option on the stock with an exercise price of $200. (Do not use continuous compounding to calculate the present value of X in this example, because the interest rate is quoted as an effective per-period rate.) (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Data: S0 = 120; X = 126; 1+r = 1.05. The two possibilities for ST are 150 and 102. (Round to 2 decimal places). The range of S is 48 while that of C is 24 across the two states. What is the hedge ratio of the call? Hedge ratio ? Calculate the value of a call option on the stock with an exercise price of 126. (Do not use continuous compounding to calculate the present value of X in this example because we are using a two-state model here; the assumed 5% interest rate is an effective rate per period.) Call value ?
We will derive a two-state put option value in this problem. Data: S0 = 100; X = 110; 1 + r = 1.10. The two possibilities for ST are 130 and 80.a. Show that the range of S is 50, whereas that of P is 30 across the two states. What is the hedge ratio of the put?b. Form a portfolio of three shares of stock and five puts. What is the (nonrandom) payoff to this portfolio?c. What is the present value of the portfolio?d. Given that the stock currently is selling at 100, solve for the value of the put.
The hedge ratio of an at-the-money call option on IBM is 0.37. The hedge ratio of an at-the-money put option is −0.63. What is the hedge ratio of an at-the-money straddle position on IBM? Note: Negative answer should be indicated by a minus sign. Round your answer to 2 decimal places.
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 3.7739. 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?
Data: S0 = 107; X = 110; 1+r = 1.12. The two possibilities for ST are 155 and 95. (Round to 2 decimal places). a. The range of S is 60 while that of P is 15 across the two states. What is the hedge ratio of the put? Hedge ratio ? b. Form a portfolio of one share of stock and four puts. What is the (nonrandom) payoff to this portfolio? Nonrandom payoff c. What is the present value of the portfolio? Present value d. Given that the stock is currently selling at 107, calculate the put value. Put value
Data: S0 = 120; X = 126; 1 + r = 1.05. The two possibilities for ST are 150 and 102. Required: a-1. The range of S is 48 while that of C is 24 across the two states. What is the hedge ratio of the call? Note: Round your answer to 2 decimal places. a-2. Calculate the value of a call option on the stock with an exercise price of 126. (Do not use continuous compounding to calculate the present value of X in this example because we are using a two-state model here; the assumed 5% interest rate is an effective rate per period.) Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
Suppose you want to price an American style put option for a stock being traded on theKuispad Stock Exchange having the following parameters: s = 18, t = 0.25, K = 20, σ = 0.2, r = 0.07. Using n = 5, calculate the value of V0(0). Provide all necessary details
A three-step binomial tree with terminal stock prices being 1.103, 0.875, 0.695, and 0.552. At time 0, if you have the insider information that at the maturity the stock price will be 0.875. Then, will the option premium at time 0 still be same as if you don't have this information, please choose from the answers below? a) Option premium is irrelevant to the private information (about the underlying) that option holder possesses. b) As in that case, the risk neutral probability of the impossible sample paths become zero.
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? explain
Consider an european call option on a stock that is not paying dividends with the following characteristics. (i) The stock price at t = 0 is S = $30. (ii) The stricke price is $31. (iii) The volatility of the stock is 20%. (iv) The free risk interest rate is 7%. Construct a 2 period recombining Binomial tree diagram and specty tne varue or the can optron at eacn node of the tree diagram.
Reconsider the determination of the hedge ratio in the two-state model where we showed that one-third share of stock would hedge one option. The possible end-of-year stock prices, uS0 = $135 (up state) and dS0 = $115 (down state). Required: What would be the call option hedge ratio for each of the following exercise prices: $135, $127, $120, $115, given the possible end-of-year stock prices, uS0 = $135 (up state) and dS0 = $115 (down state)? What do you conclude about the hedge ratio as the option becomes progressively more in the money?

SEE MORE QUESTIONS

Recommended textbooks for you

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS