FX Derivatives

This marketWhat it is, what trades, and the ideas it runs on.

The market at a glance

FX derivatives add optionality to the world's deepest market, and they do it almost entirely OTC — between dealers, macro funds and corporates rather than on an exchange. This is historically the most sophisticated exotics market in finance — barriers, digitals and touch products trade here in institutional size with quoted two-way prices, which is rare air for exotic derivatives.

Two client bases drive it: corporates hedging uncertain cash flows (the contract you might win, the acquisition that might close) where a forward's obligation doesn't fit, and macro traders for whom the FX volatility surface is both instrument and information — event risk, devaluation fear and positioning, all quoted live.

A quoting system unlike any other

FX options talk in a three-number code per tenor: ATM vol (how turbulent), risk reversal (which direction is feared — the smile's tilt), and butterfly (how fat the tails — the smile's curvature). Three quotes rebuild the whole smile. Learn to read a vol run and you can read the market's mind on any currency: a EUR/USD risk reversal flipping toward euro puts before an election is the market's forecast, no analyst needed.

Interactive: FX option pricer (Garman–Kohlhagen)Medium

Price a currency call/put. The foreign interest rate plays the dividend role — set both rates and see how the rate gap tilts call vs. put values.

Spot Strike Expiry (years) Volatility % Domestic rate % Foreign rate %

Call (base-ccy call)

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Put (base-ccy put)

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Call delta

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Vega (per vol pt)

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Garman–Kohlhagen = Black–Scholes with the foreign rate as carry. Premium here is in quote-currency units per unit of base — conventions are half the job in FX options.

How the products fit together

Vanilla options are the foundation and the reference market. Barrier options sell back unneeded scenarios for cheaper premiums — with cliff risks at the trigger. Digitals and one-touches strip options to pure event probability, and double as the calibration anchors for every FX exotic model on the street.

Concepts to master

• Duality — every call on one currency is a put on the other; every price must survive being flipped.
• Smile dynamics beat smile levels — barriers and touches depend on how the smile moves with spot, the thing vanillas alone can't tell you. This is where FX quant desks earn their keep.
• Zero-cost is never zero-risk — collars, participating forwards and TARFs finance protection by selling optionality; the invoice arrives in the tail scenario.
• Event pricing — overnight vol around central-bank meetings and elections is a live probability market; compare it to your own scenario odds before trading anything.

Interactive: straddle breakeven & implied moveMedium

Buy the call and the put at the same strike and you own movement itself. The combined premium tells you exactly how much movement you paid for.

Strike Call premium Put premium

Straddle cost

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Upper breakeven

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Lower breakeven

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Implied move

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The "implied move" — straddle cost over strike — is how desks read what an event (election, central bank, earnings) is priced to deliver. Works identically for equity options.

The same questions, asked of all elevenThese sections answer the same thing on every asset class, so the answers can be read next to each other.

The units this market speaks in

• FX options are quoted in volatility, not in price. A dealer shows "8.2 vol" and both sides convert to premium themselves — the price is an output of the quote, not the quote.
• Strikes are named by delta, not by rate. The 25-delta call and the 25-delta put move as spot moves, which is why the quoting convention survives across regimes while a fixed strike would not.
• The surface is quoted as three numbers: at-the-money volatility, the risk reversal (the skew between the 25-delta call and put) and the butterfly (the smile's curvature). Everything else is interpolated from them.
• Premium can be in percent of either currency's notional, or in pips, and the four conventions do not agree. Saying which one you mean is not pedantry; it is the trade.
• Barriers are levels in the spot rate, monitored continuously or at a fixing, and the difference between those two is worth real money. FX barrier option.
• Delta comes in more than one flavour — spot, forward, premium-adjusted — because the premium itself is in a currency that moves. This is unique to FX and it catches everybody once.

Who is choosing, and who is forced

• Forced: dealers hedging the structured shelf. Accumulators, barrier products and dual-currency deposits sold to clients leave the dealer with the mirror position, which has to be hedged continuously rather than at a chosen moment. FX accumulator.
• Forced near a barrier: everybody at once. As spot approaches a level where a large amount of optionality lives or dies, the hedging required grows sharply — and it points the same way for every holder of the same structure.
• Forced at a fixing: anybody with a contract that settles on it. The concentration of interest at a published time is a feature of the contracts, not of anybody's opinion.
• Choosing: volatility funds, which exist largely to sell what the hedgers must buy and buy what they must sell.
• Choosing, but on a schedule: corporate hedging programmes using options rather than forwards, executed by policy at intervals.

What a bad day looks like here

• The shape of it: spot arrives at a level where a large amount of optionality lives or dies, and every holder of the same structure needs to hedge the same way at the same moment.
• The first tell: the risk reversal moving sharply while at-the-money volatility does not. The market is repricing which tail it is afraid of, not how much it moves.
• The second tell: liquidity thinning around a fixing. Contracts that settle on a published rate concentrate interest into a window everybody can see.
• The client side: an accumulator that has been paying a small discount every week doubles up in exactly the week the market moves. The structure was doing that all along. FX accumulator.
• The question that would have caught it: at which spot level does my hedging requirement grow rather than shrink?

How a trade actually happens here

A forward is a spot trade with the settlement pushed into the future, and almost everything operationally distinctive about this market follows from the length of that gap.

• Agreeing it — a rate for a stated future date. That rate is not a forecast. It is today's spot adjusted for the interest rate difference between the two currencies, because otherwise the two ways of holding a currency would not cost the same. FX forward.
• The confirmation is the product. There is no exchange listing to point at, so what exists is a document under a master agreement naming the pair, the amounts, the rate and the date. Two desks disagreeing months later are disagreeing about that document.
• The gap has to be collateralised. A forward that has moved deeply in your favour is an unsecured claim on somebody, so both sides post variation margin against the daily change under a collateral annex. The trade settles once; the exposure settles every day. Margin and collateral.
• Non-deliverable contracts skip delivery entirely. On a stated fixing date a published reference rate is read, the difference against the agreed rate is worked out, and a single payment is made in a convertible currency. Nothing in the restricted currency ever moves. NDF.
• Options run on two clocks. The premium is paid shortly after the trade; the exercise decision belongs to a cut-off time on the expiry date, and what follows an exercise is an ordinary spot trade settling two days after that. FX option.
• When it fails: a fixing is not published, a currency stops being freely convertible, or a barrier is disputed because two screens showed different prices in the same second. The fallback language, written years earlier by people who are not on the trade, decides.

Where the spread is, and who earns it

Currency options are quoted in a way no other market uses: not a price, not even a volatility on its own, but a volatility attached to a delta. Everything about the cost follows from that.

• The spread is in volatility points. The dealer prices a two-way in vol, delta-hedges in spot, and earns the difference. The premium in currency terms is an output of the model, not the thing being negotiated. Volatility.
• The smile is a price, not a distortion. A risk reversal costs something because the market pays differently for the two tails of the same pair. Anybody quoting one number for volatility across all strikes is quoting a number that is not available.
• Barriers carry a margin for the discontinuity. Near its trigger, a barrier option's hedge changes violently for a small move in spot. The dealer is charging for a hedge that is hardest exactly where it is most needed. FX barrier options.
• Which currency the premium is in changes the number. The same option quoted in the two currencies of the pair produces two figures that are both correct and are not interchangeable. Confirmations state it; summaries often do not.
• "Zero premium" means the margin is in the rate. A structure that costs nothing at the start is one where the two legs were priced against each other, and the margin sits in the level of the forward that was locked. FX accumulators are the clearest case.

How a position here ends

Every ending here happens at a stated moment in a stated city, and being right an hour late is being wrong.

• Expiry at the cut. A named time in a named centre — usually New York or Tokyo. In the money five minutes after the cut is out of the money, and the fact that the market kept trading afterwards is irrelevant.
• Exercise into a spot trade. The option ends and a currency transaction begins, with its own value date two days later.
• A barrier knocks the contract out, or in. Observed continuously through the life or only at fixings, depending on what the document says. The same barrier level under the two conventions is two different products.
• A digital pays, or does not. All or nothing against a level, which is why the last hour before expiry sees so much interest around round numbers. FX digital options.
• The structure ends itself early. An accumulator stops when it has accumulated enough, which is the case where it was working. In the case where it was not, it runs on and often doubles.
• It is unwound before expiry. Sold back at the remaining value, crossing the vol spread a second time on a position with less time left to be worth anything.

Which risk decides across this class

Every product page here carries the same five bars. Read down the class instead of across one instrument, the question changes: is this a shelf of things that fail the same way, or a shelf of things that only share a department?

Which of the five decides what, across these 6

Counted from the same table each product page prints, so the two cannot disagree. Not a rating and not a ranking: it says which failure mode drives the outcome, not how dangerous anything is.

• Market6 of 6The price of the thing moves.Decides: FX Accumulator, FX Barrier Option, FX Digital Option, FX Option, Quanto Option, Target Redemption Forward.
• Credit0 of 6Somebody who owes you does not pay.Decides: none of them. Matters on 5 more.
• Liquidity0 of 6You cannot get out at anything near the marked price.Decides: none of them. Matters on 1 more.
• Funding2 of 6Cash is needed before the position pays off — margin, calls, rolls.Decides: FX Accumulator, Target Redemption Forward. Matters on 1 more.
• Operational2 of 6The failure is in documents, systems, keys or people, not in prices.Decides: FX Barrier Option, FX Option. Matters on 3 more.

Market decides 6 of the 6 — which is what makes this a class rather than a list: the instruments differ in shape and fail the same way. Credit and Liquidity decide nothing here — which is not the same as being absent.

The same five read across all 129 instruments →

Go deeper, and practiseLonger pieces, what an interview asks here, and a page to print.

Go deeper

Interactive: Garman–Kohlhagen FX option pricerMedium

Black–Scholes with two interest rates: the foreign rate plays the role a dividend yield plays for stocks. The standard model every FX option quote passes through.

Spot (e.g. EUR/USD) Strike Expiry T (years) Volatility % Domestic rate % (quote ccy) Foreign rate % (base ccy)

Call premium (quote ccy)

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Put premium

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Forward rate

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Call delta

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Premium per unit of base currency, in quote-currency terms. Note the forward: with the domestic rate above the foreign, it sits above spot — covered interest parity inside the option model. Real quotes add the smile (see the fold above).

How this market works

Analysis

Market mapWho is on the other side of your trade

Prices are made by participants with different jobs, different constraints and different reasons to trade. Knowing whose need you are meeting explains more about a market than any indicator.

• Corporate hedgers buying protection against a specific exposure are the market's founding purpose and remain its most price-insensitive participants.
• Exporters selling volatility through accumulators and collars are the natural supply — and the group that periodically discovers what it actually sold.
• Bank desks warehouse the residual and manage it through the smile, which is why FX skew is a positioning signal rather than a pure expectation.
• Macro funds use options to express event views around central bank meetings and elections, concentrating open interest at specific dates.
• Reserve managers occasionally use options rather than spot to influence a rate without spending reserves — the least visible participant and the most consequential.

Costly mistakesThe five mistakes that cost the most here

Not a list of ways to be clever — a list of the errors that recur, why each one is structural rather than careless, and which tool on this site settles it.

• Selling optionality for a better rate. Every 'improved' hedge rate is funded by an option you wrote. Price it before accepting it.
• Hedging with a barrier to save premium. The saving is exactly the probability that the hedge disappears when you need it. The touch calculator puts a number on it.
• Rolling a hedge without re-sizing it. The exposure changed; the hedge did not. Mismatch accumulates quietly across rolls.
• Ignoring the quanto adjustment. A payoff protected from currency risk carries a correlation assumption inside its price — see quanto options.
• Treating the smile as noise. Risk reversals are the cleanest read on positioning available in any market. Ignoring them discards free information.

What an interview asks here

FX option questions test whether you can carry two currencies and two conventions at once without dropping one of them.

Try each one out loud before you open it. What is underneath is the shape of a complete answer, not a script — somebody who can produce those parts in their own words can also answer the four variations that follow, and somebody who has memorised a paragraph can answer one.

Q1How does an FX option differ from an equity option?

What it is checking. Symmetry is the answer, and it is the thing most candidates have never noticed.

A complete answer contains:

• Every FX option is simultaneously a call on one currency and a put on the other, so the two are the same contract seen from two sides.
• Both currencies have an interest rate, so the pricing model carries two rates rather than a rate and a dividend yield.
• Quoting is in volatility rather than in price, and the strike is frequently expressed as a delta rather than as a level.
• The market convention is a risk reversal and a butterfly rather than a strike ladder, which is a different way of describing the same smile.
• And settlement can be deliverable or cash, which is a documentation choice rather than an economic one.

Read it properly: FX option · FX derivatives

Q2What is a 25-delta risk reversal telling you?

What it is checking. A market-convention question with real information content.

A complete answer contains:

• It is the implied volatility of the 25-delta call minus that of the 25-delta put.
• So it prices the skew: which tail the market is paying more to own.
• A large positive number means calls are dearer, which usually means demand for protection against the base currency strengthening.
• It moves sharply around events, and it frequently moves before spot does.
• So it is read as a positioning and risk-appetite gauge as much as a price.

Read it properly: FX derivatives · Volatility

Q3A corporate has a foreign currency receivable in six months. What are its options?

What it is checking. A client question, and the answer has to present a trade-off rather than a product.

A complete answer contains:

• Do nothing and accept the exposure, which is a position whether or not anybody calls it one.
• A forward: locks the rate, costs nothing up front, and removes the upside as well as the downside.
• An option: keeps the upside, costs a premium, and that premium is a real cash outflow today.
• A collar: buy protection and sell away some upside to pay for it, which is the common compromise.
• The right frame is the treasury policy rather than a view — hedge the cash flow, not the opinion.

Read it properly: FX forward · FX option

Q4Why do barrier options exist in FX in particular?

What it is checking. A product-rationale question. The answer is cost, and then the risk that cost creates.

A complete answer contains:

• A knock-out is cheaper than the equivalent vanilla, because it disappears if the barrier is touched.
• For a hedger with a view about a range, that is a genuine saving on protection they think they will not need at that level.
• The risk is discontinuous: the position's value changes abruptly at the barrier, so the delta explodes near it.
• Which makes them hard to hedge and creates real gamma risk for the seller around a known price level.
• And that concentration of hedging around a level is itself a market effect near well-known barriers.

Read it properly: FX barrier option · The barrier calculator

Q5What is a non-deliverable forward and why does it exist?

What it is checking. An emerging-markets question that tests whether the candidate knows why a market is offshore.

A complete answer contains:

• A forward that settles in a convertible currency by paying the difference, rather than by exchanging the two currencies.
• It exists where the local currency is restricted, so a non-resident cannot obtain or deliver it.
• The fixing is against a published local reference rate, which makes that fixing a contested and closely watched number.
• It carries the currency's economics with none of its deliverability, and the two can diverge under capital controls.
• So an onshore and an offshore rate for the same currency can trade apart, and the gap is a measure of the restriction.

Read it properly: Non-deliverable forward · FX derivatives

Q6A central bank defends a currency peg. What should an option trader watch?

What it is checking. The 2015 case makes this concrete, and the answer is about distribution shape.

A complete answer contains:

• A peg truncates the distribution on one side, so options look cheap and realised volatility is near zero.
• That is exactly the shape that pays almost nothing for a long time and then everything at once.
• Watch the reserves being spent to defend it, and the interest rate being used to make holding the currency attractive.
• Watch how much of the market is positioned as though the peg is permanent, because the exit is a liquidity event as much as a price one.
• When a floor was abandoned in 2015 the move was far larger than any model calibrated on the pegged period allowed for.

Read it properly: The Swiss floor, 2015 · Volatility

Q7How do you hedge a portfolio of FX options?

What it is checking. A desk-practice question, and the answer is in Greeks rather than in positions.

A complete answer contains:

• Delta first, in the underlying currency pair, and it has to be adjusted as spot moves.
• Then vega, by maturity bucket, because a parallel volatility move is not what actually happens.
• Then the skew and curvature exposures, hedged with risk reversals and butterflies rather than with vanillas.
• Gamma and theta are the running cost and the running income of holding the book.
• And the residual is basis and correlation risk across pairs, which is what a triangle of three currencies quietly creates.

Read it properly: FX derivatives · Risk measures

Do these against a clock → — one at a time, ninety seconds each, answer before you look.

Whose questions these are. Every question on this page was written for this publication. None is taken from anybody else’s question bank, and none is a claim about what any named firm asks — that is neither verifiable from here nor ours to assert. They are our own reading of which mechanism a question of this kind is testing. Information and education only.

Test yourself: five questions

Five quick questions on this asset class — checked entirely on your device, nothing stored or sent. Wrong answers come with explanations; the deep dives above hold every answer. For education only.

⬇ The whole class on one printable page

Who pays whom, drawn

The payoff charts on this site say what an instrument is worth at the end. These say who the parties are and what each one hands over — every payment between the investor and the bank on the other side, in the order it happens. Each diagram sits on its product's own page.

• FX Option — Premium now, a decision at a stated hour
• FX Barrier Option — A price that was touched once, at any moment
• FX Accumulator — A stream of small gains against one large obligation
• Quanto Option — Foreign returns, paid in your own money

Who does this: FX Derivatives is quoted from five sell-side seats — Sales, Trading, Structuring, Research, Prime Services — and held from the buy-side by Asset Management, Private Markets, Hedge Funds & Alternatives, Wealth Management, Insurance & Pensions. See the industry map.