MathFinance - FX Option Calculator

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MathFinance - FX Option Calculator

No Touch Option

Description | Switch View | Reset Values

A OneTouchOption pays a fixed amount of money, called the rebate, if a previously determined exchange rate ever trades at a previously determined touch-level until a specified expiry time T. Similarly, a NoTouchOption pays a certain rebate if the exchange rate never trades at a touch-level until T. The rebate can be specified in foreign or domestic currency. A OneTouch-option is also sometimes called one-touch-digital or hit option. Furthermore, this option can be interpreted as an American Cash-or-nothing-digital option, if the rebate is in domestic currency, or as an American Asset-or-nothing-digital option, if the rebate is in foreign currency.

Market Data


Spot Price
Dom. rate		For. rate
Volatility		Delta Wished
Risk Reversal		Butterfly

Contract Data


Touch Level		Barrier Position
Time trade-to-maturity		Payment Time
Notional		FOR/DOM

Valuation


Output

Market Data

Underlying's Market

		Description	Accepted Values
Spot Price		This is the value of the underlying exchange rate today.	Greater than 0.

Interest Rate Market

		Description	Accepted Values
Dom. rate		Domestic interest rate. If you are not sure about which interest rate is domestic and which foreign, the example at the end of the document will clarify this.	Greater than -0.1. Smaller than 1.
For. rate		Foreign interest rate. In general you should use the money market interest rates with the according time to maturity for rf and rd.	Greater than -0.1. Smaller than 1.

Options Market

	Description	Accepted Values
Volatility	This is the market implied volatility of an at-the-money-Call. This figure can be looked up in appropriate tables which are for example provided by banks. ATM is ATM-forward in our calculations.	Greater than 0. Smaller than 10.
Delta Wished	This specifies the spot delta (premium unadjusted) of the butterfly and risk reversal - options that are used for vega-hedging. Market standard is the value 0.25.	Greater than 0.05. Smaller than 0.45.
Risk Reversal	This is the market quote of a "risk reversal " in terms of volatility with a delta which is specified in the variable delta_wished. Also see Vol.	Greater than -1. Smaller than 1.
Butterfly	This is the market quote of a "butterfly " in terms of volatility with a delta which is specified in the variable delta_wished. Also see Vol.	Greater than -1. Smaller than 1.

Contract Data

Side

		Description	Accepted Values
Barrier Position		This parameter indicates whether the barrier is an upper or lower barrier.	Choices shown.

Prices

		Description	Accepted Values
Touch Level		This is the touch level.	Greater than 0.

Dates

		Description	Accepted Values
Time trade-to-maturity		This is the time to maturity of the option, measured in years. Our tool accepts times to maturity between one day and 5 years. We recommend using the provided data with appropriate caution if the time is longer than one year, as constant interest rates and volatilities are assumed in the model which is implemented in our program.	Greater than 1/365. Smaller than 5.
Payment Time		Payment occurs at expiry.	Choices shown.

Quantity

		Description	Accepted Values
Notional		This is the amount of money that is paid if the exchange rate touches / does not touch the specified exchange rate level.	Greater than or equal to 0.
FOR/DOM		Determines whether the nominal is in foreign or domestic currency.	Choices shown.

Valuation

Main

	Description	Accepted Values
Output	Result selection.	Choices shown.