RQuantLib (version 0.4.3)

BarrierOption: Barrier Option evaluation using Closed-Form solution

Description

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.

Usage

"BarrierOption"(barrType, type, underlying, strike, dividendYield, riskFreeRate, maturity, volatility, barrier, rebate=0.0)

Arguments

barrType
A string with one of the values downin, downout, upin or upout
type
A string with one of the values call or put
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

Value

An object of class BarrierOption (which inherits from class Option) is returned. It contains a list with the following components:.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.

Details

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.

References

http://quantlib.org for details on QuantLib.

See Also

AmericanOption,EuropeanOption

Examples

Run this code
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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