A currency option exchanges one currency for another at an agreed strike. Follow a EUR call / USD put through payoff, premium, settlement and an importer’s hedge.
Currency option
A currency option, or FX option, gives its buyer the right, without an obligation, to buy one currency and sell another at an agreed exchange rate, subject to the contract's exercise and settlement terms. It lets a firm protect a foreign-currency payment or receipt while retaining a benefit from favourable exchange-rate moves. That flexibility has a price: the option premium. The Reserve Bank of Australia's explanation describes this distinction from a forward hedge.
A call on which currency?
An FX trade always has two currency legs. A right to buy euros and sell dollars is a EUR call / USD put. These describe the same exchange right, not two separately purchased options. Reversing the named currencies also changes the strike's quotation and the relevant currency amounts.
Here, market pair notation EUR/USD means USD per EUR: the euro is the base currency, and the dollar is the quote currency. A higher quote means that euros cost more dollars. “A call on the exchange rate” is incomplete unless the pair, direction and units are specified.
The FX primer lesson develops quotation units, bid and ask conversions, and the two interest rates in an FX forward. The full lesson requires a signed-in free account; its public page provides a preview.
A euro call, settled in dollars
Consider this fictional contract, chosen for a small, transparent ledger:
Term
Stipulated contract
Currency direction
EUR call / USD put
Euro notional
EUR 100
Strike
1.10 USD per EUR; corresponding dollar amount USD 110
Exercise style
European: exercise only at expiry T
Settlement
USD cash payment at T, using the specified expiry reference rate ST
Premium
USD 3 paid at inception
Assume zero financing rates, full performance, and no spreads, fees or taxes. The notional identifies the euros covered; it is neither the premium nor an amount paid out automatically. The contract's cash settlement is
HT=NEURmax(ST−K,0),
where ST and K are USD per EUR. Multiplying their difference by a euro amount leaves a payoff in USD. For this contract, NEUR=100 and K=1.10.
Expiry reference, USD per EUR
Gross option payoff, USD
Net option profit, USD
0.90
0
−3
1.10
0
−3
1.13
3
0
1.20
10
+7
At 1.20, buying EUR 100 in the spot market costs USD 120, versus the strike exchange amount of USD 110. The USD 10 difference is the gross option payoff. Subtracting the stipulated USD 3 premium gives USD 7 net profit. At or below the strike the payoff is zero and the premium is lost. Between 1.10 and 1.13, the call has a positive payoff but still makes a net loss; its zero-financing break-even is 1.13 USD per EUR.
Euro-call expiry ledger: a EUR 100 notional and strike 1.10 USD per EUR give gross USD 10 and net USD 7 at 1.20. Net profit is minus USD 3 at or below 1.10 and zero at 1.13.
Original synthetic European cash-settled EUR call / USD put. The dashed gross payoff and solid net profit differ by the USD 3 premium. Rates and costs are zero; all vertical amounts are USD for the entire EUR 100 notional.
Under a corresponding physically settled exchange right, exercise would deliver EUR 100 against payment of USD 110. It would not also pay another USD 10. Our cash-settled contract pays the difference and supplies no euros.
The hedge and the option have different ledgers
Suppose a dollar-funded importer must pay EUR 100 at the same time T. With the fictional cash-settled call, it buys the euros in spot and uses the option payment toward that purchase. At 1.20, the combined dollar cost, including the premium, is 120 − 10 + 3 = USD 113. At 0.90, the option expires without a payment and the importer buys the euros for 90 + 3 = USD 93 including the premium.
Under these matched-reference, matched-time assumptions, the hedge caps the importer's total cost at USD 113 while preserving cheaper purchases if the euro falls. The option's USD 7 profit in the first scenario is not the importer's total cash cost. An exporter expecting euros instead needs protection against a falling USD-per-EUR rate, such as a euro put. A foreign-exchange forward commits the parties to the agreed exchange rather than giving the buyer this choice.
Matching matters. A payment on a different date, an option fixing that differs from the executable spot rate, or a smaller notional leaves residual risk. A cash payment that arrives after the invoice is due can also leave a funding need.
Pricing today and checking the actual contract
The expiry payoff is not today's option value. Before expiry, value depends on spot, strike, remaining time, volatility and both currencies' interest rates. In the European Garman–Kohlhagen model, the foreign rate represents the return available on a foreign-currency deposit, while the domestic rate discounts domestic-currency cash flows. Treating the foreign rate as a yield is a financing argument; it is not a dividend invented for currency notes. A model price is also distinct from our freely stipulated example premium.
Exercise style does not determine settlement method. OCC describes European USD cash-settled currency options, whereas CME's 2026 FX product guide describes listed FX options that deliver into an underlying futures contract. Neither specification is the fictional EUR 100 contract above. Check the actual underlying, call and put currencies, amounts, quote scale, premium currency and payment date, expiry time and time zone, fixing source, exercise rules, and settlement date before applying a payoff formula.
John C. Hull, Options, Futures, and Other Derivatives, ninth Global Edition, Pearson, 2018, §17.2, pp. 391–392, and §17.5, pp. 399–400: FX call/put payoff units, hedging, European pricing and currency symmetry. The numerical example and figure are original.
