An exotic option is an over the counter (OTC) option which is more complex than commonly traded plain vanilla options in terms of the option behavior with respect to the underlying, computation and timing of the pay-out, and the terms of the customized contract. Exotic options are generally used in the foreign exchange market, fixed income market and high stakes over the counter equity and index trading markets. Since they are difficult to understand and are highly customized, they are not allowed to be traded on exchanges. Many businesses use these options to hedge their cash flow uncertainties and enter into over the counter contracts with large financial institutions which can structure and price such products.

**Examples of Exotic Options:**

### Compound Options

Compound options, also known as split-fee options, are basically options on options. These give the holder a right to buy or sell another call or put option. The underlying call or put option is usually a plain vanilla option, which itself has a stock, index or other linear instruments as its underlying. Compound options come in four variations

- A Call on Call option gives the holder a right to buy a call option.
- A Call on Put option gives the holder a right to buy a put option.
- A Put on Call option gives the holder a right to sell a call option.
- A Put on Put option gives the holder a right to sell a put option.

### Bermuda Options

Bermuda options behave somewhat like both the American and European options in terms of their exercise. A Bermuda option can have more than one lives. It can be exercised before expiry during the designated exercising windows. If it is not exercised during these windows, it can be exercised at expiry or expire worthlessly.

### Barrier Options

The payoff of barrier options kicks in or vanishes when the underlying asset hits a pre-determined strike or barrier. Due to this property, the payoff of barrier options shows discrete jumps and falls instead of a smooth continuous line. Barrier options come in four variations

- A call option with a knock-in barrier (up and in option) pays out the difference between market price and strike price only when the underlying reaches a certain price which is more than the strike price
- A call option with a knock-out barrier (up and out) ceases to exist when a certain price is reached above the strike price, and it doesn’t come back to life even if the price falls below the barrier
- A put option with a knock-in barrier (down and in option) pays off when the price falls below the strike price for a certain amount
- A put option with a knock-out barrier (down and out option) ceases to exist when a certain price is reached below the strike price, and it doesn’t come back to life even if the price rises above the barrier

### Binary or Digital Options

As the name suggests, these options have only two pay-offs, either zero or some pre-determined fixed pay-off when a condition is satisfied. For example, a binary call option with a strike price of $10 pays $100 for any price above the strike price at expiry, while a put option with a strike price of $10 pays $100 for any price below the strike at expiry.

### Lock-out Options

A lock-out option pays off if the value of the underlying asset doesn’t move beyond a certain value. Another variation can be a double lock-out option which pays only if the value of the underlying asset remains within a range of values.

### Double Trigger Options

As the name suggests, a double trigger option needs two conditions for the pay-off to get triggered. The conditions can also depend on two unrelated events or instruments, which can alter the riskiness of the option.

### Lookback Options

The payoff of a lookback option is a function of the current market price and the range of the price during a pre-specified look back period of time. A look back option can either have a floating strike or a fixed strike. A floating strike lookback option has its strike price determined at the time of expiry while a fixed strike lookback option has its strike price fixed at the start.

### Ladder Options

A ladder option allows the holder to preserve the pay-off during the movement of the underlying’s price. It will keep on increasing and preserve the payoff if the underlying is moving above the strike, and will eventually pay-out a minimum preserved amount even if the underlying’s price falls below at the time of the expiry. A ladder put option will similarly preserve the pay-off during the descent of the underlying’s price.

### Asian Options

An Asian option, also known as an average rate or average price option, has a payoff which is a function of the average market price of the underlying asset during the life of the option.

*Payoff of Asian Call Option = Max (Average of Underlying’s Market Price-K,0)*

*Payoff of Asian Put Option = Max (K-Average of Underlying’s Market Price,0)*

where K is the strike price of the option.

### Basket Options

A basket option is written for foreign exchange market and gives the holder a right to receive two or more currencies in lieu of the pay-off. The exchange rate can be pre-specified or the spot rate at the time of the settlement

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### Rainbow Options

A rainbow option has a payoff which is dependent on the movement of two or more underlying assets. Even the payoff can be in a different form than the underlying, for example getting shares of a company A for an in the money rainbow call option on a stock of company B.

### Weather Options

A weather option pays off when a pre-determined weather condition is met. Weather options can be used by weather-dependent businesses to hedge their cash flows during the times of bad weather.

**C**hooser Options

A chooser option gives the holder a right to decide whether the option will be a call or put at a later date. So, if the stock moves up, the holder can decide it to be call and if the stock moves down, the holder can decide it to be a put. It is essentially like having a long straddle which pays off during large movements (in any direction) of the underlying.

There can be many other customized varieties of exotic options which can be designed depending on the business needs.^{1–4}