Barrier Options, also known as Knock-In Options or Knock-Out Options, are exotic options which comes into existence or goes out of existence when certain prices has been reached.
Barrier Options are exactly the same as plain vanilla options except for the fact that it becomes active only after the underlying asset
crosses a certain price, known as the barrier. If the underlying asset
fails to cross the barrier, the Barrier Options you
bought becomes worthless pieces of paper upon expiration even if the underlying asset is trading above it's strike price!
Knock-In Barrier Options Example:
John buys Knock-In Call Options with a strike price of $80 with knock-in barrier at $90 when the underlying asset is trading at $70. The underlying asset gains steadily but slowly and closes at $85 upon expiration of the Barrier Options. Even though the underlying asset is trading higher than the Barrier Option's strike price of $80, the Barrier Options expires worthless as it did not cross the knock-in barrier. |
Barrier Options were first traded in the late 60s over the OTC market around the time normal options were traded, that is why it is also rather developed in terms of features and pricing. |
The above illustrates how Knock-In Barrier Options work. Knock-Out Barrier Options work the other way round where the barrier terminates the
option instead of activating the option. Knock-Out Barrier Options start their life activated, just like any other plain vanilla options, however,
if the Knock-Out Barrier Price is reached, the option get terminated and expires worthless.
Knock-Out Barrier Options Example:
John buys Knock-Out Call Options with a strike price of $80 with knock-out barrier at $90 when the underlying asset is trading at $70. The underlying asset gains steadily but slowly and closes at $95 upon expiration of the Barrier Options. Even though the underlying asset is trading higher than the Barrier Option's strike price of $80, the Barrier Options becomes immediately worthless as the knock-out barrier price of $90 is reached. |
Advantage | Disadvantage | |
Knock-In Barrier Options |
1. Cheaper, resulting in higher profits
|
1. Higher risk of loss if underlying asset moves moderately
2. Commonly traded for forex, not stocks. |
Knock-Out Barrier Options |
1. Cheaper, resulting in higher profits
|
1. Higher risk of loss if underlying asset rallies
2. Commonly traded for forex, not stocks. |
There are 4 types of Barrier Option features:
:: Up-and-In : Underlying asset needs to move up and beyond barrier price for the barrier option to become active.
Double Barrier Options or better known as Double Knock-Out Options, have 2 knock-out prices instead of just one,
making it an even cheaper alternative than the
Single Barrier Options described so far due to the increased probability of terminating the option even when the underlying asset goes the other way.
Double Knock-Out Options Example:
John buys Double Barrier Call Options with a strike price of $80 and Knock-Out prices of $90 and $70 when the underlying asset is trading at $80. When the underlying asset drops below $70 or rallies above $90, the double knock-out options get terminated and becomes immediately worthless. |
As if Single and Double Barrier Options are not complex enough, there are many other variations to the Barrier Options. Here are some popular ones:
1. Reverse Barrier Options: Barrier set in the money instead of out of the money.
2. Edokko Options: Complex version of the Barrier Option aimed at preventing a knock out.
3. Parisian Barrier Options: Another complex version of the Barrier Option aimed at preventing a knock out by adding a time requirement to the barrier condition.
4. Partial Time Barrier Options: Barrier Options where barriers are monitored only during specific times.
Barrier Options are traded only in OTC markets, which is not easily accessible to the general public through the various stock & options exchanges.
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As Barrier options have a fairly long history, there are already a number of established method for pricing Barrier Options. Some popular methods are: Analytical Closed Form, Continuity Correction, Binomial Model, Trinomial Model, Finite Differences and Monte Carlo Simulation. The most popular of these is the Analytical Closed Form developed by Merton, Reiner & Rubinstein in 1973, which is derived from the Black-Scholes model.
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