Path-Dependent and Lookback Options

Path-dependent options use prices or events observed before expiration, so the route taken by the underlying can affect value or payoff. In this branch, an Asian option uses an average of specified prices, while a lookback option uses a qualifying maximum or minimum.

Two underlyings can have identical starting and ending prices but produce different path-dependent payoffs. The observation schedule and price-source rules are therefore part of the economic exposure, not administrative detail.

Compare the Core Guides

Same Endpoint, Different Result

Assume an asset starts at $100, rises to $120, falls to $90, and expires at $105.

• A simple European call uses the $105 terminal price.
• An Asian call uses the contractual average of its specified observations.
• A fixed-strike lookback call can use the qualifying $120 maximum.
• A barrier option may activate or terminate if $120, $90, or another level is a contractual trigger.

This example does not calculate a universal payoff because strikes, observation times, monitoring, and settlement terms differ across contracts. It shows why terminal price alone is insufficient.

Observation Checklist

• Define the observation window and whether endpoints are included.
• Identify continuous, intraday, official-close, daily, weekly, or monthly monitoring.
• Confirm the market, benchmark administrator, publication time, currency, and time zone.
• Reconcile every observation already fixed.
• Apply holiday, disruption, correction, and corporate-action rules.
• Check averaging weights, maximum or minimum conventions, caps, floors, and participation rates.
• Match the contract’s observations with the exposure being hedged to identify basis risk.

Common Mistakes

• Treating path dependence as synonymous with a barrier.
• Comparing a final chart price with a payoff based on an average or extreme.
• Assuming arithmetic and geometric averages are equivalent.
• Using an intraday high or low when only official closing observations qualify.
• Ignoring the part of the path already fixed when valuing a live contract.

Use the current confirmation or exchange specification, official fixing history, valuation documentation, and settlement records for an actual position. This branch is educational and does not provide personalized investment, derivatives, legal, accounting, or tax advice.

In this section

Choose a subsection first. Deeper term pages live inside each subsection, which keeps large topic hubs readable.