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Barrier options

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created by: Thijs van den Berg (http://www.sitmo.com)
Barrier options equation

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Barrier options are vanilla call and vanilla put options that are either activated or canceled based on the underlying asset hitting a certain barrier.

types of barrier options

There are three features that specify the type of barrier option:
  • Down / Up. There are two sort of barrier options based on the barrier being either above (up) or below (down) the current price of the underlying.
  • In / Out. The option can either be activated (in) or canceled (out) as a consequence of hitting the barrier.
  • Call / Put. The two type of vanilla options
These three features result in a total of 8 different types of barrier options. E.g. a down-an-in-call is a call which is activated when the underlying moves down and hit the barrier.

List of symbols

Value of the underlying asset at expiration
T Expiration time
K Strike (excersise) price
B Barrier

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