Reference no: EM131208922
Each of the following questions should be answered by building a 15-period binomial model whose parameters have been calibrated to a Black-Scholes geometric Brownian motion model with:
T = 0.25
years,
S0=100, r=2%, s=30% and a dividend yield of c=1%.
Your binomial model, as a result of the calibration, should use a value of u = 1.03949, d = 1/u, q = 49.247%.
and R = exp(r*T/15) so that 1/R = exp(-r*T/15).
1. Compute the price of an American call option with strike K = 110 and maturity T = :25 years.
2. Compute the price of an American put option with strike K = 110 and maturity T = :25 years.
3. Is it ever optimal to early exercise the put option of Question 2?
4. If your answer to Question 3 is "Yes", when is the earliest period at which it might be optimal to early exercise? (If your answer to Question 3 is "No", then you should submit an answer of 15 since exercising after 15 periods is not an early exercise.)
5. Do the call and put option prices of Questions 1 and 2 satisfy put-call parity?
6. Compute the fair value of an American call option with strike K = 110 and maturity n = 10 periods where the option is written on a futures contract that expires after 15 periods. The futures contract is on the same underlying security of the previous questions.
7. What is the earliest time period in which you might want to exercise the American futures option of Question 6?
Do you think us is better off continuing with current tax
: Based on the article, do you think the United States is better off continuing with the current tax system or switching to a flat tax? Feel free to find other articles that support your position.
|
Define ethical communication
: Define ethical communication. In the digital age, explain how the widespread use of social media has increased the attention given to the issue of transparency.
|
Identify the projects deliverables
: The centre wishes to develop a new staff recruitment and selection process, to be implemented with in 3 months. Identify the projects deliverables that you need to achieve to successfully carry out project.
|
Establish sample period as t seconds for control algorithms
: Show how this can be done with a square wave (clock) that has a period equal to the desired time interval between interrupts.
|
Compute the price of an american call
: Compute the price of an American call option with strike K = 110 and maturity T = :25 years. - Compute the price of an American put option with strike K = 110 and maturity T = :25 years.
|
What is the importance of principle of accounting
: What do you think is the connection between a diary you may have had when you were young and the recording process that you have recently learned about? What is the importance of this in the operations?
|
Limiting the company profitability
: If the laws of the society are limiting the company's profitability, would the company be within its rights to disobey the law? They don't have the right to disobey but they have the right to protest the law, right?
|
Has the united states peaked as a world power
: Reflect in 75 to 100 words on the process of critical thinking you used in forming your response. Include the following in your reflection: How does the process of critical thinking you used relate to or differ from the process you used to find con..
|
What is a change in accounting principle
: What is a change in accounting principle? How do you determine if a change in principle should be reported retroactively, currently, or prospectively? How do these changes affect the financial statements?
|