Equity Derivatives

Knock-Out Certificate

Also known as: Turbo, Mini future, Knock-out warrant, Turbo-Zertifikat

Leverage with a trapdoor: a cheap slice of the underlying that dies instantly the moment a barrier is touched.

Asset class
Equity derivatives (leverage products)
Instrument type
Certificate = financed position + knock-out barrier
Traded
Exchange-listed (Stuttgart, Frankfurt), issuer market-making
Typical users
Short-term retail traders, tactical hedgers
A turbo long tracks the underlying one-for-one on a fraction of the capital — until the knock-out barrier, where it expires worthless at once.
Knock-outTurbo long (leveraged)Underlying (unleveraged)Underlying priceCertificate value
1 · SnapshotThe one idea to remember
Key intuition: a turbo is a stock bought mostly with borrowed money, where the margin call is automated, instant and final. The leverage number tells you the excitement; the barrier distance tells you the life expectancy.
2 · BeginnerWhat is it, really?

A knock-out certificate — "turbo" in the trade — is the simplest way to trade with leverage. The stock costs €100; the turbo costs €10 and moves one euro for every euro the stock moves. The stock rises 5% to €105 → your €10 becomes €15: +50%. Leverage of 10, with no margin account and no option formulas.

How can €10 buy €100 of exposure? The issuer lends you the other €90 — the financing level. Your certificate is worth roughly stock price minus financing level, which is why it moves euro-for-euro.

The trapdoor: at or near that financing level sits the knock-out barrier. Touch it — even for a second, even overnight — and the certificate terminates immediately and is worth (almost) nothing. No waiting until maturity, no recovery if the stock bounces back an hour later. The barrier is what protects the issuer's loan; your stake is the buffer that burns first.

3 · IntermediateHow it works in practice

The mechanics

A turbo long with financing level (strike) \(F\) on underlying \(S\), with ratio 1:

$$ \text{Value} \approx S_t - F, \qquad \text{Leverage} = \frac{S_t}{S_t - F}, \qquad \text{knocked out if } S_t \le B \;(B \ge F) $$

The financing level grows daily by the issuer's funding rate \(r + s\) (base rate plus spread) — holding a turbo long costs interest, silently, via a rising strike. Turbo shorts mirror everything: value \(F - S_t\), knocked out when the underlying rises to the barrier, and they earn financing when rates are positive.

The two flavours

  • Classic turbo: barrier equals the financing level, \(B = F\). Knock-out means total loss; the issuer bears "gap risk" if the market jumps past \(F\) before it can hedge.
  • Mini future: barrier sits a few percent above the financing level, \(B > F\). Knock-out triggers an orderly unwind and pays out the small residual \(\approx S_{KO} - F\); the buffer between \(B\) and \(F\) is the issuer's gap-risk cushion. Open-ended (no expiry), which made minis the dominant flavour.

Why traders choose turbos over options

  • No vega, no theta drama: value is intrinsic; implied volatility barely matters. What you see is what you get — unlike a warrant, which can fall even as the stock rises.
  • Transparent pricing: \(S - F\) is checkable to the cent, so issuer spreads are visible and thin.
  • Overnight gap risk is yours: barriers monitored against futures trade nearly 24h; a US close → European open gap routinely harvests barriers set "safely" 5% away.
Worked example: stock €100, turbo long with financing level €90, barrier €92 (mini style), price €10, leverage 10×. Stock rallies to €110 → certificate ≈ €20: +100% vs the stock's +10%. Stock dips to €92 intraday → knocked out, residual ≈ €2: −80%, even if the stock closes back at €100 the same day. The path matters, not just the destination.
4 · AdvancedPricing & valuation

Pricing: why a barrier option collapses to intrinsic value

Formally a turbo long is a down-and-out call with strike \(F\) and barrier \(B\). For the classic case \(B = F\), the barrier-option formula degenerates: knock-out occurs exactly where the option loses its intrinsic value, so the optionality premium vanishes and

$$ V_t \;=\; \big(S_t - F_t\big)\, e^{-q\tau} \;+\; \underbrace{\text{gap premium}}_{\text{small}}, \qquad F_t = F_0\, e^{(r+s)t} $$

Near-zero vega and gamma follow — the certificate is locally a forward, not an option. The issuer's residual exposure is the overnight jump through the barrier: if the market gaps below \(F\), the hedge unwinds at a loss the certificate holder no longer covers. Issuers price this as a "gap premium" of a few basis points, widen the mini-future buffer \(B - F\) on volatile underlyings, and pass the rest into the financing spread \(s\).

The barrier-hunting question

Every turbo trader eventually suspects their barrier was "hunted". The mundane truth: knock-outs cluster at round numbers and prior lows because traders themselves set barriers there, and the issuer's own delta-hedge unwind (selling the underlying when a long turbo knocks out) adds mechanical pressure just below popular barriers. German regulator studies found no systematic manipulation — but the reflexive clustering is real, and it means barrier placement at "obvious" levels carries extra path risk.

The economics of the product class

  • Holding-period arithmetic: financing costs of 2–4% p.a. on the full exposure, plus knock-out probability compounding daily, make turbos day-trading instruments; BaFin's product-intervention studies put average retail holding periods in days and aggregate retail P&L deeply negative — losses concentrated in knock-outs, not in adverse drift.
  • Versus CFDs: same economics (financed position, forced liquidation), but exchange-listed, no negative balance possible (loss capped at stake), and the "margin call" is the barrier itself.
  • Issuer credit: an unsecured note of the issuer, as with all certificates — though at day-trading horizons, market risk dwarfs it.

The formulas above are standard textbook formulations, simplified for teaching. They explain the mechanism — they are not a valuation tool, and they will not reproduce a dealer’s price.

5 · Desk notesHow practitioners think about it
Practitioner note: choose the barrier for the path you can survive, not the leverage you desire — with \(B = F\), leverage is just \(S/(S-F)\), so "leverage 20" means a 5% move kills you. Any turbo whose barrier lies inside the underlying's daily ATR is not a position, it's a coin flip with negative carry.