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A lookback option's payoff is determined by the most favorable underlying price during the option's life. A floating-strike lookback call lets you buy at the lowest price observed; a fixed-strike lookback call pays the difference between the strike and the maximum observed price.
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Key takeawayLookback options are the most expensive vanilla exotics because they eliminate timing risk entirely. Understanding lookback pricing helps premium sellers appreciate why path-dependent features always cost more than their European counterparts.
💡 Why It Matters
Lookback options are the most expensive standard exotic because they eliminate timing risk entirely. Understanding their pricing helps premium sellers appreciate the value of the timing risk they absorb when selling options.
⚙ How It Works
A fixed-strike lookback call pays max(S_max - K, 0) where S_max is the highest price during the option's life. A floating-strike lookback call pays S_T - S_min (terminal price minus lowest price). Both forms guarantee the buyer captures the best possible outcome from the price path.
📋 Example
A 30-day lookback call on a stock at $100 might cost $12.00 versus $6.00 for a standard ATM call. The extra $6.00 represents the value of not having to time the market. If the stock peaks at $115 on day 10 but finishes at $102, the lookback pays $15 while the standard call pays $2.
⚠ Common Mistakes
Traders think lookback options are impractical academic constructs. While not widely listed, lookback-like features appear in structured products, guaranteed minimum withdrawal benefits (GMWBs) in annuities, and employee stock option programs. Understanding them helps price these embedded features.
❓ FAQ
What is Lookback Option?
A lookback option's payoff is determined by the most favorable underlying price during the option's life. A floating-strike lookback call lets you buy at the lowest price observed; a fixed-strike lookback call pays the difference between the strike and the maximum observed price.
Why does Lookback Option matter for premium sellers?
Lookback options are the most expensive vanilla exotics because they eliminate timing risk entirely. Understanding lookback pricing helps premium sellers appreciate why path-dependent features always cost more than their European counterparts.
How does Lookback Option work?
A fixed-strike lookback call pays max(S_max - K, 0) where S_max is the highest price during the option's life. A floating-strike lookback call pays S_T - S_min (terminal price minus lowest price). Both forms guarantee the buyer captures the best possible outcome from the price path.
What are common mistakes with Lookback Option?
Traders think lookback options are impractical academic constructs. While not widely listed, lookback-like features appear in structured products, guaranteed minimum withdrawal benefits (GMWBs) in annuities, and employee stock option programs. Understanding them helps price these embedded features.
Related Terms
Asian Option
An exotic option whose payoff depends on the average price of the underlying over a specified period, not just the price at expiration.
Barrier Option
An exotic option that activates (knock-in) or deactivates (knock-out) when the underlying price hits a preset barrier level.
Basket Option
A basket option has a payoff determined by the weighted average price of multiple underlying assets rather than a single asset.
Bermuda Option
A Bermuda option can be exercised only on specific dates between the purchase date and expiration, not continuously like an American option or only at expira...
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