BarrierOption | R Documentation |

This function evaluations an Barrier option on a common stock using a closed-form solution. The option value as well as the common first derivatives ("Greeks") are returned.

```
## Default S3 method:
BarrierOption(barrType, type, underlying, strike,
dividendYield, riskFreeRate, maturity,
volatility, barrier, rebate=0.0)
```

`barrType` |
A string with one of the values |

`type` |
A string with one of the values |

`underlying` |
Current price of the underlying stock |

`strike` |
Strike price of the option |

`dividendYield` |
Continuous dividend yield (as a fraction) of the stock |

`riskFreeRate` |
Risk-free rate |

`maturity` |
Time to maturity (in fractional years) |

`volatility` |
Volatility of the underlying stock |

`barrier` |
Option barrier value |

`rebate` |
Optional option rebate, defaults to 0.0 |

A closed-form solution is used to value the Barrier Option. In the case of Barrier options, the calculations are from Haug's "Option pricing formulas" book (McGraw-Hill).

Please see any decent Finance textbook for background reading, and
the `QuantLib`

documentation for details on the `QuantLib`

implementation.

An object of class `BarrierOption`

(which inherits from class
`Option`

) is returned. It contains a list with the
following components:

`value` |
Value of option |

`delta` |
Sensitivity of the option value for a change in the underlying |

`gamma` |
Sensitivity of the option delta for a change in the underlying |

`vega` |
Sensitivity of the option value for a change in the underlying's volatility |

`theta` |
Sensitivity of the option value for a change in t, the remaining time to maturity |

`rho` |
Sensitivity of the option value for a change in the risk-free interest rate |

`dividendRho` |
Sensitivity of the option value for a change in the dividend yield |

.

Note that under the new pricing framework used in QuantLib, binary pricers do not provide analytics for 'Greeks'. This is expected to be addressed in future releases of QuantLib.

The interface might change in future release as `QuantLib`

stabilises its own API.

Dirk Eddelbuettel edd@debian.org for the **R** interface;
the QuantLib Group for `QuantLib`

https://www.quantlib.org/ for details on `QuantLib`

.

`AmericanOption`

,`EuropeanOption`

```
BarrierOption(barrType="downin", type="call", underlying=100,
strike=100, dividendYield=0.02, riskFreeRate=0.03,
maturity=0.5, volatility=0.4, barrier=90)
```

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