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程序代写案例-MGMTMFE 405

时间：2021-05-01

Project 5

MGMTMFE 405

Instructor: L. Goukasian

You will need to write codes for all the parts of the project. Make sure the codes work properly

and understand the ideas behind each problem below. You may be asked to demonstrate how

the codes work, by running them, and interpret the results. Code clarity and accuracy will

determine the grades.

Submit your codes and a PDF file of your answers to questions (including graphs,

histograms, but no codes, in this PDF file) by 11PM PDT on Next Wednesday.

1. Consider the following information on the stock of company XYZ: The current stock price

is $40, and the volatility of the stock price is = 20% per annum. Assume the prevailing

risk-free rate is = 6% per annum. Use the following method to price the specified option:

(a) Use the LSMC method with N=100,000 paths simulations (50,000 plus 50,000

antithetic variates) and a time step of ∆=

1

√

to price an American Put option with

strike price of = $40 and maturity of 0.5-years, 1-year, and 2-years. Use the first

of the Laguerre Polynomials for = 2, 3, 4. (That is, you will compute 9 prices

here). Compare the prices for the 3 cases = 2, 3, 4 and comment on the choice of k.

(b) Use the LSMC method with N=100,000 paths simulations (50,000 plus 50,000

antithetic variates) and a time step of ∆=

1

√

to price an American Put option with

strike price of = $40 and maturity of 0.5-years, 1-year, and 2-years. Use the first

of the Hermite Polynomials for = 2, 3, 4. (That is, you will compute 9 prices

here). Compare the prices for the 3 cases, = 2, 3, 4, and comment on the choice of k.

(c) Use the LSMC method with N=100,000 paths simulations (50,000 plus 50,000

antithetic variates) and a time step of ∆=

1

√

to price an American Put option with

strike price of = $40 and maturity of 0.5-years, 1-year, and 2-years. Use the first

of the Simple Monomials for = 2, 3, 4. (That is, you will compute 9 prices here).

Compare the prices for the 3 cases, = 2, 3, 4, and comment on the choice of k.

(d) Compare all your findings above and comment.

Note: You will need to use weighted-polynomials as done by the authors of the method.

Inputs: 0, X, T, r, , N, k

Outputs: Values of Option Prices; writeup: comments.

学霸联盟

MGMTMFE 405

Instructor: L. Goukasian

You will need to write codes for all the parts of the project. Make sure the codes work properly

and understand the ideas behind each problem below. You may be asked to demonstrate how

the codes work, by running them, and interpret the results. Code clarity and accuracy will

determine the grades.

Submit your codes and a PDF file of your answers to questions (including graphs,

histograms, but no codes, in this PDF file) by 11PM PDT on Next Wednesday.

1. Consider the following information on the stock of company XYZ: The current stock price

is $40, and the volatility of the stock price is = 20% per annum. Assume the prevailing

risk-free rate is = 6% per annum. Use the following method to price the specified option:

(a) Use the LSMC method with N=100,000 paths simulations (50,000 plus 50,000

antithetic variates) and a time step of ∆=

1

√

to price an American Put option with

strike price of = $40 and maturity of 0.5-years, 1-year, and 2-years. Use the first

of the Laguerre Polynomials for = 2, 3, 4. (That is, you will compute 9 prices

here). Compare the prices for the 3 cases = 2, 3, 4 and comment on the choice of k.

(b) Use the LSMC method with N=100,000 paths simulations (50,000 plus 50,000

antithetic variates) and a time step of ∆=

1

√

to price an American Put option with

strike price of = $40 and maturity of 0.5-years, 1-year, and 2-years. Use the first

of the Hermite Polynomials for = 2, 3, 4. (That is, you will compute 9 prices

here). Compare the prices for the 3 cases, = 2, 3, 4, and comment on the choice of k.

(c) Use the LSMC method with N=100,000 paths simulations (50,000 plus 50,000

antithetic variates) and a time step of ∆=

1

√

to price an American Put option with

strike price of = $40 and maturity of 0.5-years, 1-year, and 2-years. Use the first

of the Simple Monomials for = 2, 3, 4. (That is, you will compute 9 prices here).

Compare the prices for the 3 cases, = 2, 3, 4, and comment on the choice of k.

(d) Compare all your findings above and comment.

Note: You will need to use weighted-polynomials as done by the authors of the method.

Inputs: 0, X, T, r, , N, k

Outputs: Values of Option Prices; writeup: comments.

学霸联盟