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Price European or American barrier options using Monte Carlo simulations

```
[Price,Paths,Times,Z]
= barrierbyls(RateSpec,StockSpec,OptSpec,Strike,Settle,ExerciseDates,BarrierSpec,Barrier)
```

```
[Price,Paths,Times,Z]
= barrierbyls(___,Name,Value)
```

`[`

calculates barrier option prices on a single underlying asset using the Longstaff-Schwartz
model. `Price`

,`Paths`

,`Times`

,`Z`

]
= barrierbyls(`RateSpec`

,`StockSpec`

,`OptSpec`

,`Strike`

,`Settle`

,`ExerciseDates`

,`BarrierSpec`

,`Barrier`

)`barrierbyls`

computes prices of European and American barrier
options.

For American options, the Longstaff-Schwartz least squares method is used to calculate the early exercise premium.

[1] Hull, J. *Options, Futures and Other Derivatives.* Fourth
Edition. Prentice Hall, 2000, pp. 646–649.

[2] Aitsahlia, F., L. Imhof, and T.L. Lai. “Pricing and hedging
of American knock-in options.” *The Journal of Derivatives.* Vol.
11.3 , 2004, pp. 44–50.

[3] Rubinstein M. and E. Reiner. “Breaking down the barriers.” *Risk.* Vol.
4(8), 1991, pp. 28–35.

`barrierbybls`

| `barrierbyfd`

| `barriersensbybls`

| `barriersensbyfd`

| `barriersensbyls`