What it means
A standard option gives its holder the right, but not the obligation, to buy or sell an asset at an agreed price. Its value depends mainly on where the asset ends up on the expiry date.
A barrier option adds a condition about the path the price takes on the way, and a double barrier option sets two such conditions at once. In a double knock-out option, the contract is cancelled if the price touches either the upper or the lower barrier at any time before expiry.
In a double knock-in option, the contract only comes into existence if one of the barriers is touched. The holder therefore needs the price to stay within, or to leave, a certain range, depending on the type.
The attraction is cost. A knock-out option can be cancelled before it pays out, so sellers charge a lower premium than for an ordinary option.
A buyer who expects a market to stay in a range, and who does not want to pay for protection against large moves, may find this appealing. The risk is that the option can vanish just when it seems to be working.
If the price spikes to a barrier, even briefly, the option may die, and a later recovery will not bring it back. Pricing is also complex, since valuation models must consider the entire path of the price, not just its final value.
Companies use these options in currency and commodity hedging when they have a view about the likely range of prices. A treasurer who expects the exchange rate to stay between two levels may buy a cheaper double knock-out option to protect against moderate moves, accepting that extreme moves are not covered.
Such choices should be made with care and approved under the company's risk policy. Because the products are complicated, they are mostly traded over the counter between banks and corporate clients, with terms agreed individually.
Documentation must define the barriers, how they are monitored and what counts as a touch. Anyone buying one should ask for clear scenarios showing payoffs under different price paths.
In practice
Real-world examples.
Example
A coffee importer expects the price of beans to rise moderately but stay below a level where the market would be in crisis. It buys a double knock-out call, paying a smaller premium than for a standard call.
Example
A multinational treasury team believes an exchange rate will stay within a range for the next three months. It uses a double knock-out structure to hedge a payment at a lower cost than a plain option.
Example
A bank sells a double knock-in option to a client who wants a payout only if the market becomes unusually volatile. The client pays a modest premium and understands that most of the time the option will pay nothing.
Formula
Calculation
Payoff of a double knock-out call at expiry = maximum of (final price - strike, 0) x number of units, provided that neither barrier was touched during the option's life. If either barrier was touched, the payoff is $0.
Worked example: A company buys a double knock-out call option on 1,000 units of a commodity. The strike price is $100, the lower barrier is $80 and the upper barrier is $120.
Scenario 1: The price stays between $80 and $120 throughout and ends at $112.
Payoff = ($112 - $100) x 1,000 = $12,000.
Scenario 2: The price rises to $121 at some point, then falls back and ends at $112.
The upper barrier was touched, so the option is cancelled and the payoff is $0.
Scenario 3: The price stays inside the barriers but ends at $95.
Payoff = maximum of ($95 - $100, 0) x 1,000 = $0, because the option is below its strike.Case study
Seen in the real world.
Oakmont Energy is a fictional fuel distributor that wanted to hedge against rising oil prices. Its treasurer found that ordinary call options were costly and proposed a double knock-out call with a barrier well above the expected price range.
In this illustrative case, prices rose steadily and the option gained value. However, during a sudden market shock, the price spiked through the upper barrier for a few hours and the option was cancelled.
The company lost its protection just before prices rose further, and the treasurer had to buy cover at higher cost. After this, the board required a written scenario analysis for any option with barriers. The illustrative lesson is that a cheaper hedge can fail when it is needed most.
Watch out
Common mistakes.
- Assuming a knock-out option will recover if the price returns to range. Once a barrier is touched, the option is gone for good.
- Focusing only on the lower premium. The saving reflects a real loss of protection under certain price paths.
- Forgetting how barriers are monitored. The contract must say whether it counts continuous trading or only closing prices.
Questions
People also ask.
What is the difference between knock-in and knock-out?
A knock-in option starts only if a barrier is touched, while a knock-out option ends if a barrier is touched.
Why are double barrier options cheaper?
Because the extra conditions reduce the chance of a payout, the seller can charge less.
Who uses them?
Banks, corporate treasurers and investors who hold clear views about the range of future prices.
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