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Cliquets And Ratchet Options

A cliquet (or ratchet) option chains together a series of forward start options, resetting its strike at the end of each period and locking in that period's gain before moving on to the next — like a ratchet wrench that clicks forward but never slips back.

Prerequisites: Forward Start Options, The Option Greeks

A ratchet wrench turns a bolt in one direction and clicks in place rather than sliding back when you reverse the handle — every partial turn is locked in permanently. A cliquet option applies that same click-and-lock mechanism to a stock's returns. Instead of one option that pays off on the total move from start to expiry, a cliquet is a series of consecutive forward start options, each locking in its own period's gain (floored at zero) before the next period starts fresh, at-the-money, regardless of what happened before.

The payoff

A cliquet with nn periods, each with a local floor of zero and a local cap cc, has total payoff:

Payoff=Ni=1nmin ⁣(max(Ri, 0), c),\text{Payoff} = N \sum_{i=1}^{n} \min\!\Big(\max\big(R_i,\ 0\big),\ c\Big),

where RiR_i is the percentage return of the underlying over period ii only, computed relative to that period's starting price. In words: NN is the notional; each period's return RiR_i is floored at zero (a losing period contributes nothing, but subtracts nothing either) and capped at cc (a huge winning period only counts up to the cap); the payoff sums those floored-and-capped local returns across all nn periods. A losing period never erases a previous period's locked-in gain — that's the ratchet action — but it also can't be offset against a later winning period, since each is capped and floored independently.

Worked example 1 — three periods, no cap

A 3-year cliquet resets annually, notional $10,000, floor 0%, no cap. Annual returns: Year 1 = +12%, Year 2 = −20%, Year 3 = +8%. Floored contributions: max(0.12,0)=0.12\max(0.12,0)=0.12, max(0.20,0)=0\max(-0.20,0)=0, max(0.08,0)=0.08\max(0.08,0)=0.08. Sum =0.12+0+0.08=0.20= 0.12+0+0.08=0.20. Payoff =10,000×0.20== 10{,}000 \times 0.20 = $2,000. Compare to a plain call on the three-year cumulative return: the underlying fell 20% in year 2 and only partially recovered, so its three-year cumulative return is 1.12×0.80×1.0813.2%1.12 \times 0.80 \times 1.08 - 1 \approx -3.2\%, meaning an ordinary three-year call would pay nothing. The cliquet paid $2,000 by locking in the two winning years separately and simply ignoring the losing one.

Worked example 2 — the cost of a cap

Same structure, but now capped at c=8%c = 8\% per year, same three annual returns (+12%, −20%, +8%). Contributions: min(max(0.12,0),0.08)=0.08\min(\max(0.12,0),0.08) = 0.08, min(max(0.20,0),0.08)=0\min(\max(-0.20,0),0.08)=0, min(max(0.08,0),0.08)=0.08\min(\max(0.08,0),0.08)=0.08. Sum =0.08+0+0.08=0.16=0.08+0+0.08=0.16. Payoff =10,000×0.16==10{,}000\times0.16= $1,600 — $400 less than the uncapped version, entirely because the cap clipped Year 1's 12% return down to 8%. That clipped $400 is the premium the issuer saves by capping each period, which is exactly why capping local returns makes the cliquet cheaper to sell (and cheaper to buy).

Strategy payoff
price at expiry →
net cost 0profit at 100 0.02 legs

Each period of a capped-and-floored cliquet behaves like the collar payoff shown above, applied fresh every period — drag the cap and floor and see how narrowing the collar (tighter cap, higher floor) trades away tail upside for a cheaper, steadier structure, period after period.

Y1: +12% Y2: floored to 0 Y3: +8% sum locked in: 20%
Each bar is locked in the moment its period ends. Year 2's loss is floored to zero and cannot claw back Year 1's already-banked 12%.

What this means in practice

Cliquets are popular in retail-facing structured products (often called "ratchet notes" or "auto-ratchets") precisely because "your gains lock in, your losses are floored" sells well — the marketing writes itself. Under the hood, each period is a forward start option, so pricing depends heavily on forward implied volatility and, critically, on the implied correlation between how volatility behaves across periods (the "volatility of volatility"), not just today's spot vol. This makes cliquets one of the more model-sensitive exotics — a small change in assumed forward vol dynamics can move the price a lot.

"Locked-in gains" describes what happens to past periods, not a guarantee about the total payoff. A cliquet can still pay very little if too many periods land near zero or fall exactly at the floor — the ratchet protects each period's own gain from being reversed, it does not guarantee the sum across periods will be large. Read the floor/cap terms per period, not the marketing summary.

A cliquet is a chain of forward start options, each resetting at-the-money and locking in its own period's floored-and-capped return — so it is priced off the forward volatility term structure, and its payoff can never be reduced by a later bad period, only added to by a good one.

Related concepts

Practice in interviews

Further reading

  • Wilmott, Paul Wilmott on Quantitative Finance (Ch. 24)
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