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Binary (digital) asset-or-nothing option

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created by: Thijs van den Berg (http://www.sitmo.com)
Binary (digital) asset-or-nothing option equation

The binary asset-or-nothing option has the asset as payout , depending on whether the asset end above or below the strike (K) at the expiration date.

some properties

  • Binary asset-or-nothing call = vanilla call + binary cash-or-nothing call (all with the same strike).
  • Binary asset-or-nothing put = - vanilla put + binary cash-or-nothing put (all with the same strike).
  • S = Binary asset-or-nothing call + Binary asset-or-nothing put.

List of symbols

Value of the binary asset-or-nothing call option at expiration
Value of the binary asset-or-nothing put option at expiration
Price of the underlying asset at expiration
K Strike (exercise) price

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