Calculating the price of Asian American put

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Description

The function calculates the price of Asian American put with Least Squares Monte Carlo method (pay-off based on arithmetic mean). The regression model included in the algorithm is quadratic polynomial (Longstaff & Schwartz, 2000).

Usage

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AsianAmerPutLSM(Spot = 1, sigma = 0.2, n = 1000, m = 365, Strike = 1.1, r = 0.06, 
dr = 0, mT = 1)

## S3 method for class 'AsianAmerPut'
print(x, ...)
## S3 method for class 'AsianAmerPut'
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 AsianAmerPutLSM.

object

An object returned by the function AsianAmerPutLSM.

...

Not used.

Value

The function returns an object of the class AsianAmerPut that is a list comprising the price calculated, option type, 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.

Author(s)

Mikhail A. Beketov

References

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.

See Also

Functions: price, AmerPutLSM, AmerPutLSM_CV, AmerPutLSM_AV, and QuantoAmerPutLSM.

Examples

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AsianAmerPutLSM(n=500, m=100)
put<-AsianAmerPutLSM(Spot=14.2, Strike=16.5, n=500, m=50)
put
summary(put)
price(put)
put$price