Welcome to the World of Exotic Options!
In your FRM journey so far, you have likely mastered "Vanilla Options"—standard Calls and Puts traded on exchanges. But the financial world isn't always "plain vanilla." Corporations and investors often have very specific risks that standard options can't perfectly hedge. That is where Exotic Options come in.
Think of Exotic Options as "custom-tailored suits" compared to the "off-the-rack" sizes of Vanilla Options. They are usually traded Over-the-Counter (OTC) and have unique triggers, payoff rules, or exercise conditions. Don't worry if these sound intimidating; we will break them down one by one using simple analogies!
1. Non-Standard American Options: Bermudan Options
Standard American options can be exercised at any time before expiration. European options can only be exercised at expiration. Bermudan Options are the middle ground.
A Bermudan option can be exercised only on specified dates during its life (e.g., the first day of every month).
Analogy: If a European option is a bus that only lets you off at the final stop, and an American option is a taxi you can stop anywhere, a Bermudan option is a train that only lets you off at specific stations.
Quick Review: Value-wise, a Bermudan option is worth more than (or equal to) a European option but less than (or equal to) an American option.
2. Gap Options
A Gap Option is a bit tricky. It has two different prices involved:
1. The Strike Price (\( K_1 \)): Used to calculate the payoff amount.
2. The Trigger Price (\( K_2 \)): Used to determine if the option provides a payoff at all.
For a Gap Call:
Payoff = \( S_T - K_1 \) if \( S_T > K_2 \).
If \( S_T \) is not greater than \( K_2 \), the payoff is zero.
Watch Out! It is possible for a Gap Option to have a negative payoff if it is triggered. If \( K_2 \) is higher than \( K_1 \), and the price ends up at \( K_2 \), the holder is forced into a payoff calculation that could be negative if the contract terms require it. This makes them very different from vanilla options where the payoff is always \(\ge 0\).
3. Forward Start Options
A Forward Start Option is an option that you pay for today, but its strike price is not set until a future date. Usually, the strike price is set to be At-The-Money (ATM) at the time the option "starts."
Example: A company might grant these to employees as a bonus, ensuring the "incentive" starts fresh next year regardless of where the stock price is today.
4. Compound Options
A Compound Option is simply an option on an option. You are buying the right to buy (or sell) another option at a specific price (the strike price of the compound option).
There are four types:
• Call on a Call
• Call on a Put
• Put on a Call
• Put on a Put
Did you know? These are often used in capital intensive projects. For example, a company might buy a "Call on a Call" to lock in the right to buy an insurance contract (the underlying option) if a specific project gets government approval.
5. Chooser Options
The Chooser Option (sometimes called an "As-You-Like-It" option) allows the holder to decide, after a certain period of time, whether the option will be a Call or a Put.
The value of a Chooser Option at the time of choice is:
\( Max(Call, Put) \)
Why use this? If you know a big event is coming (like an election or an earnings report) and you expect a massive price move but aren't sure which direction it will go, a Chooser Option is perfect.
6. Barrier Options
Barrier Options are the most common exotics on the FRM exam. Their payoff depends on whether the underlying asset's price hits a certain level (the barrier) during a specific period.
There are two main categories:
1. Knock-out Options: These "die" (become worthless) if the price hits the barrier.
2. Knock-in Options: These "come alive" only if the price hits the barrier.
These are further classified by direction:
• Down-and-out: Price starts above the barrier; if it drops to the barrier, the option dies.
• Up-and-out: Price starts below the barrier; if it rises to the barrier, the option dies.
• Down-and-in: Becomes active only if the price drops to the barrier.
• Up-and-in: Becomes active only if the price rises to the barrier.
Key Concept: A "Knock-in" + "Knock-out" with the same strike and barrier = a Vanilla Option. This is a common exam trick!
7. Binary Options
Binary Options are "all-or-nothing" bets. They don't care how far in-the-money you are, just that you are in-the-money.
• Cash-or-Nothing: Pays a fixed set amount of cash if the asset price is above the strike.
• Asset-or-Nothing: Pays the value of the asset itself if the price is above the strike.
Memory Aid: Think of a digital switch. It's either 0 (Off) or 1 (On). There is no "middle" payoff.
8. Lookback Options
Lookback Options allow the holder to "look back" over time and pick the most favorable price. They are very expensive because they take the guesswork out of timing the market!
• Floating Lookback Call: The strike price is the minimum price the asset reached during the option's life. (You buy at the absolute lowest price).
• Fixed Lookback Call: The strike price is fixed, but you get to use the maximum price reached as the final asset price. (You sell at the absolute highest price).
9. Shout Options
A Shout Option allows the holder to "shout" to the writer once during the option's life. By shouting, you lock in the current gain. At expiration, you get either the locked-in gain or the final vanilla payoff, whichever is higher.
Analogy: It’s like a "save point" in a video game. If you do better later, great! If you fail later, you get to go back to your save point.
10. Asian Options
The payoff of an Asian Option is based on the average price of the asset over a period, rather than the price at a single point in time.
• Average Price Option: Payoff = \( Max(0, Average\ Price - Strike) \).
• Average Strike Option: Payoff = \( Max(0, Stock\ Price - Average\ Price) \).
Why Asian Options?
1. They are cheaper than vanilla options because the average of a price series is less volatile than the price itself.
2. They prevent "market manipulation" near the expiration date.
11. Basket and Exchange Options
• Exchange Option: The right to give up one asset to get another (e.g., exchange 10 shares of Stock A for 5 shares of Stock B).
• Basket Option: An option on the total value of a portfolio of assets.
Crucial Exam Note: For Basket Options, correlation matters. If assets are perfectly correlated, the basket is volatile. If they have low correlation, the basket's volatility is lower, making the option cheaper.
Summary & Key Takeaways
Don't panic! You don't usually need to memorize massive formulas for these on the FRM Part I. Focus on the logic of the payoffs:
• Asian: Think "Average." Cheaper due to lower volatility.
• Barrier: Think "Knock-in/Knock-out." Depends on hitting a price level.
• Binary: Think "All-or-Nothing."
• Lookback: Think "Best Price." Very expensive.
• Bermudan: Think "Scheduled stops."
• Compound: Think "Option on an Option."
Common Mistake to Avoid: Confusing "Up-and-out" with "Down-and-out." Always look at where the price starts relative to the barrier. If the barrier is above the current price, it must be an "Up" barrier!