AmerPutLSM_AV:
Pricing plain vanilla American put with Antithetic Variates
Description
The function calculates the price of a plain vanilla American put with Least Squares Monte Carlo method with Antithetic Variates (Glasserman, 2004). The regression model included in the algorithm is quadratic polynomial (Longstaff & Schwartz, 2000).
Usage
AmerPutLSM_AV(Spot = 1, sigma = 0.2, n = 1000, m = 365, Strike = 1.1, r = 0.06,
dr = 0, mT = 1)
"print"(x, ...)
"summary"(object, ...)
Arguments
Spot
Spot price of the underlying asset (e.g. stock).
sigma
Volatility of the underlying asset.
n
Number of paths simulated.
m
Number of time steps in the simulation.
Strike
Strike price of the option.
r
Interest rate of the numeraire currency (e.g. EUR).
dr
Dividend rate of the underlying asset.
mT
Maturity time (years).
x
An object returned by the functions AmerPutLSM_AV.
object
An object returned by the function AmerPutLSM_AV.
...
Not used.
Value
The function returns an object of the class AmerPutAV that is a list comprising the price calculated and the entry parameters. Class-specific print function gives the option type information and the price. The price as a single number can be derived using the price function. An overview of the entire object can be seen using the summary function.
References
Glasserman, P. 2004. Monte Carlo Methods in Financial Engineering. Springer.
Longstaff, F.A., and E.S. Schwartz. 2000. Valuing american option by simulation: A simple least-squared approach. The Review of Financial Studies. 14:113-147.