RQuantLib (version 0.4.24)

BinaryOption: Binary Option evaluation using Closed-Form solution

Description

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

Usage

# S3 method for default
BinaryOption(binType, type, excType, underlying,
        strike, dividendYield,
	riskFreeRate, maturity, volatility, cashPayoff)

Value

An object of class BinaryOption (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

Arguments

binType

A string with one of the values cash, asset or gap to select CashOrNothing, AssetOrNothing or Gap payoff profiles

type

A string with one of the values call or put

excType

A string with one of the values european or american to denote the exercise type

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

cashPayoff

Payout amount

Author

Dirk Eddelbuettel for the R interface; the QuantLib Group for QuantLib

Details

A closed-form solution is used to value the Binary Option.

Please see any decent Finance textbook for background reading, and the QuantLib documentation for details on the QuantLib implementation.

References

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

See Also

AmericanOption,EuropeanOption

Examples

BinaryOption(binType="asset", type="call", excType="european",
             underlying=100, strike=100, dividendYield=0.02,
             riskFreeRate=0.03, maturity=0.5, volatility=0.4, cashPayoff=10)