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One Touch No Touch Option: Digital Barrier Pricing
A one-touch option pays a fixed amount if the underlying trades at or through a barrier before expiry. A no-touch option pays the same fixed amount if the underlying never touches that barrier. Both are digital exotics, most common in FX and most abused by offshore retail platforms.
Key Takeaways
- One touch no touch option: one-touch pays fixed coupon K if the underlying ever reaches barrier B; no-touch pays K only if B is never reached during the option life.
- A macro trader paid $220k for a EURUSD 1.10 one-touch paying $1M; when the barrier is hit 15 days later, net P&L is $780k.
- A common mistake: pricing touch options at ATM vol, the fair premium depends heavily on the wings of the skew, moving it by 10 percent or more on FX pairs.
- The CFTC and SEC have issued multiple investor alerts specifically citing offshore "binary options" platforms for refusing withdrawals and manipulating price feeds.
Key Takeaways
- One touch no touch option: one-touch pays fixed coupon K if the underlying ever reaches barrier B; no-touch pays K only if B is never reached during the option life.
- A macro trader paid $220k for a EURUSD 1.10 one-touch paying $1M; when the barrier is hit 15 days later, net P&L is $780k.
- A common mistake: pricing touch options at ATM vol, the fair premium depends heavily on the wings of the skew, moving it by 10 percent or more on FX pairs.
- The CFTC and SEC have issued multiple investor alerts specifically citing offshore "binary options" platforms for refusing withdrawals and manipulating price feeds.
What It Is
Both products belong to the digital barrier family. The payoff is binary: you get the agreed coupon or you get zero. There is no continuous payoff tied to how far past the barrier price goes, which is what separates them from vanilla barrier options like knock-in calls.
The one-touch pays out the moment the barrier is hit, regardless of where the underlying settles at expiry. The no-touch only pays at maturity, and only if the barrier was never breached at any point during the life of the contract.
In the interbank FX market these are OTC products used by real-money and hedge fund clients to express sharp views on whether a support or resistance level will hold. In the retail world they are often repackaged under names like "touch" or "boundary" options and sold through unregulated offshore platforms that the CFTC and SEC have repeatedly flagged for fraud.
The Intuition
Imagine you believe EURUSD, trading at 1.0850, will not touch 1.1000 in the next month. You can express that with a no-touch paying $100,000 if the barrier is never hit. If you are right, you collect the full coupon. If spot touches 1.1000 even once intraday, you get zero.
A one-touch is the mirror. You believe EURUSD will touch 1.1000, even briefly, in the next month. You pay a premium that reflects the market-implied probability of the touch. If the touch happens, you collect; if not, premium is lost.
Both contracts are extremely skew sensitive. The probability of hitting a barrier over a given horizon depends heavily on the shape of the volatility surface, not just the at-the-money level. A small change in the FX risk reversal can move a one-touch premium by several percent. This is why dealers quote these products from a full calibrated smile rather than a flat vol assumption.
How It Works
The payoff functions are simple. Let S_t be the underlying path, B the barrier, T the expiry, and K the fixed coupon. The one-touch call barrier above spot pays:
Payoff = K if max(S_t) for t in [0, T] >= B
0 otherwise
The no-touch pays the opposite:
Payoff = K if max(S_t) for t in [0, T] < B
0 otherwise
Under Black-Scholes with drift mu, volatility sigma, and no rebate, the one-touch price for a barrier above spot is given by a closed-form expression involving the cumulative normal distribution and the natural logarithm of B/S. In practice, dealers use a local or stochastic volatility model because the pricing is dominated by the wings of the skew, which a flat Black-Scholes misprices badly.
Hedging is difficult. As spot approaches the barrier, the delta and gamma of the one-touch can spike violently, then collapse to zero the moment the barrier is hit. Dealers warehouse the risk or hedge with strips of vanilla barriers and digitals, accepting a meaningful residual in the process.
Worked Example
A macro trader wants to bet EURUSD, at 1.0850, will touch 1.1000 within 30 days. A dealer quotes a one-touch paying $1,000,000 if touched, for a premium of $220,000. Implied no-touch probability from the price is roughly 22 percent.
Scenario A: fifteen days later, EURUSD prints 1.1001 intraday on a payrolls surprise. The option pays out $1,000,000. The trader's net P&L is $780,000.
Scenario B: EURUSD drifts sideways between 1.0780 and 1.0950 for the full month and never touches 1.1000. Premium of $220,000 is lost in full.
If the same trader bought a 1.10-strike vanilla call instead, they would capture any move beyond 1.10 at expiry but earn nothing from an intraday touch that reverses. The one-touch and vanilla are different trades, even with the same strike.
Common Mistakes
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Treating touch options as probability bets. The premium reflects risk-neutral probability, not real-world probability, and includes a dealer markup. Cycling through offshore "binary options" platforms with the mindset of a Kelly bettor is how retail accounts get wiped out.
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Ignoring skew. The most common pricing error is using an ATM implied vol to estimate a touch probability. Barriers far from spot are priced off the wings of the smile. For FX, the risk reversal can shift the fair premium by 10 percent or more without any move in ATM vol.
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Trading on unregistered platforms. CFTC and SEC investor alerts specifically call out offshore binary options platforms for refusing to credit accounts, denying withdrawals, manipulating price feeds, and committing identity theft. If the counterparty is not registered as a Retail Foreign Exchange Dealer or similar regulated entity, the product itself is a fraud risk.
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Underestimating gap risk around barriers. One-touch probabilities are path-dependent. News events that open the market through the barrier without trading at it can still trigger a touch, depending on the contract's definition of "touch." Read the exact contractual language.
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Assuming hedges scale. Retail traders sometimes try to replicate a no-touch with short straddles or iron condors. The payoffs are related but not equivalent. Replication fails during vol spikes when skew moves faster than ATM vol.
Frequently Asked Questions
Q: What is a one-touch or no-touch option in simple terms? A one-touch pays a fixed cash amount if the underlying price touches a predefined barrier level at any point before expiration. A no-touch pays the same amount only if the barrier is never reached. Both pay nothing if the opposite condition occurs.
Q: How do one-touch and no-touch options affect investment decisions? They let traders take a view on whether a support or resistance level will hold. But because the payoff is binary and path-dependent, pricing depends heavily on the skew, making these options much more complex than their apparent simplicity suggests.
Q: What is a real-world example of a one-touch option? EURUSD at 1.0850. A one-touch paying $1 million if 1.10 is hit costs $220,000 (a 22% implied probability). EURUSD prints 1.1001 on a payrolls surprise, the touch triggers and the trader nets $780,000.
Q: How can investors avoid the most common one-touch mistake? Never price touch options using only ATM implied volatility. The fair premium is dominated by the wings of the vol smile. Small changes in the 25-delta risk reversal shift the touch probability by several percent, so always use a full calibrated surface.
Q: How is a one-touch different from a vanilla call option with the same strike? A vanilla call on the same strike pays based on where the underlying settles at expiration, regardless of intraday movements. A one-touch pays based on whether the barrier is touched at any moment during the life, regardless of where it settles. They express very different views on path versus terminal price.
Sources
- CFTC/SEC. Investor Alert: Binary Options and Fraud. https://www.cftc.gov/LearnAndProtect/AdvisoriesAndArticles/fraudadv_binaryoptions.html
- CFTC. Binary Options Fraud. https://www.cftc.gov/BinaryOptionsFraud/index.htm
- CFTC. Beware of Off-Exchange Binary Options Trades. https://www.cftc.gov/LearnAndProtect/AdvisoriesAndArticles/beware_of_off_exchange_binary_options.htm
- Jacobson, H. Almost Everything You Wanted To Know About FX Volatility Smile, Part I. https://volquant.medium.com/almost-everything-you-wanted-to-know-about-fx-volatility-smile-part-i-intro-to-the-fx-market-4a3ba8052e08
Disclaimer
This article is educational content only and is not financial advice. Nothing here is a recommendation to buy, sell, or hold any security. Consult a licensed advisor before making investment decisions.