What is a Napoleon option?

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AcadiFi · Accepted Answer

A Napoleon option is a variant of cliquet where the periodic payoff depends on the worst monthly return within a year, subject to a coupon floor. Structurally, for each year, the investor receives a fixed coupon plus the minimum monthly return over the 12 months of that year, with the total floored at zero.

Formally, the annual payoff equals max zero, C plus min of monthly returns, where C is the coupon rate (say 8 percent). If any single month has a very negative return, it can wipe out the coupon for that entire year.

Example: sales trader Omari Beaumont-Clarke at Vermilion Structured Products sells a Napoleon note on the Kranos 200 index with a 9 percent annual coupon. In year one, the worst month is a negative 11 percent return during a brief crash. The annual payoff is max zero, 9 plus minus 11 equals zero. Year two has a worst month of minus 3 percent, yielding max zero, 9 minus 3 equals 6 percent.

Napoleons have extreme negative convexity in vol-of-vol: a single bad month destroys the year. They were notoriously mispriced in the mid-2000s when short-dated volatility surged during the 2008 crisis, and several bank structured product desks booked hundreds of millions in losses.

For CFA purposes, understand that Napoleons sit on the far path-dependent end of the exotic spectrum and require sophisticated volatility modeling (Heston, SABR) to price accurately.

What is a Napoleon option?

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