# FX Options

> FX options give the right to exchange currencies at a set rate. Learn volatility and delta quotes, risk reversals, Garman Kohlhagen pricing and hedging uses.

Source: https://learn.tradelabsai.com/forex/fx-options/  
Track: Forex · Level: Advanced · Updated: 2026-10-03  
Publisher: TradeLabs AI (https://tradelabsai.com). Education, not financial advice.  
Cite as: TradeLabs Learn, "FX Options", https://learn.tradelabsai.com/forex/fx-options/

An FX option gives its buyer the right, but not the obligation, to exchange one currency for another at an agreed rate (the strike) on or before a set date. Currency options work like stock options in principle, but the FX options market has its own conventions: prices are usually quoted in implied volatility, strikes are often specified by delta, and the smile is described by at the money volatility, risk reversals and butterflies. Most FX options trade over the counter between banks and clients, with listed options on exchanges such as CME.

## Calls and puts in two currencies

Every FX option is a call on one currency and a put on the other. A EUR call / USD put gives the right to buy euros and sell dollars at the strike. In EUR/USD terms, this is a call on the pair. See [Calls and Puts](https://learn.tradelabsai.com/options/calls-and-puts/).

## Pricing: Garman Kohlhagen

FX options are priced with the Garman Kohlhagen model (1983), an adaptation of Black Scholes in which the foreign interest rate plays the role of a dividend yield:

```
call = S × e^(-r_f T) × N(d1) - K × e^(-r_d T) × N(d2)
d1 = [ln(S/K) + (r_d - r_f + σ²/2) × T] / (σ × √T)
d2 = d1 - σ × √T
```

- **S:** spot rate (domestic per foreign)
- **r_d, r_f:** domestic and foreign interest rates

See [Black-Scholes Model](https://learn.tradelabsai.com/options/black-scholes-model/).

## Market conventions

| Convention | Meaning |
|---|---|
| Quoted in volatility | Dealers quote implied volatility, then convert to premium |
| Delta strikes | Options described as 25 delta or 10 delta rather than by strike |
| ATM | Usually delta neutral straddle strike |
| Risk reversal (RR) | 25 delta call vol minus 25 delta put vol: measures skew |
| Butterfly (BF) | Average of 25 delta call and put vol minus ATM vol: measures smile curvature |
| Premium currency | Can be paid in either currency, which affects delta |

**Example: Reading an FX volatility quote**
For one month EUR/USD, a dealer shows: ATM 7.5%, 25 delta RR minus 0.6%, 25 delta BF 0.2%.

From these: 25 delta call vol ≈ 7.5 + 0.2 + (minus 0.6 / 2) = 7.4%; 25 delta put vol ≈ 7.5 + 0.2 minus (minus 0.6 / 2) = 8.0%.

The negative risk reversal means euro puts are more expensive than euro calls: the market pays more for protection against a weaker euro. See [Volatility Smile and Skew](https://learn.tradelabsai.com/volatility/volatility-smile-and-skew/).

## Who uses FX options

- **Exporters and importers:** buy options to protect against adverse moves while keeping upside, often using collars or zero cost structures.
- **Investors:** hedge foreign holdings.
- **Speculators:** take views on direction or volatility around central bank meetings and elections.
- **Carry traders:** buy puts on high yielding currencies to protect against crashes. See [Carry Trades in Forex](https://learn.tradelabsai.com/forex/carry-trades-in-forex/).

**Example: An exporter's protection**
A European exporter will receive $10 million in three months. Spot EUR/USD is 1.0850. To protect against a weaker dollar (a higher EUR/USD), the exporter buys a 3 month EUR call / USD put struck at 1.1000 for a premium of about 0.9% of the euro amount. If EUR/USD rises to 1.1500, the exporter converts at 1.1000, receiving about €9.09 million instead of €8.70 million. If EUR/USD falls to 1.0500, the exporter lets the option expire and converts at the better market rate. See [Hedging](https://learn.tradelabsai.com/markets/hedging/).

## Exotic FX options

FX is the largest market for exotic options:

- **Barrier options:** knock in and knock out, very common in corporate hedging. See [Barrier Options](https://learn.tradelabsai.com/options/barrier-options/).
- **Digital (binary) options** and one touch options. See [Binary Options](https://learn.tradelabsai.com/options/binary-options/).
- **Target redemption forwards (TARFs):** structured products that can carry large hidden risks for buyers.

## Listed FX options

CME lists options on its currency futures, and some exchanges list options on spot rates. Listed options offer transparency and central clearing, but most volume remains over the counter. See [Currency Futures](https://learn.tradelabsai.com/forex/currency-futures/).

## Risks

- **Premium loss** for buyers.
- **Large losses** for sellers in sharp moves, such as the 2015 Swiss franc shock.
- **Complex structures** can hide leveraged exposure.
- **Liquidity** in exotic pairs and long tenors.

## Frequently asked questions

### What is an FX option?

A contract giving the right to exchange one currency for another at a set rate on or before a set date.

### How are FX options priced?

With the Garman Kohlhagen model, a version of Black Scholes that uses both domestic and foreign interest rates, and are usually quoted in implied volatility.

### What is a risk reversal in FX options?

The difference between implied volatility of a 25 delta call and a 25 delta put, showing which direction the market is paying more to protect against.

Next, learn exchange traded currency contracts in [Currency Futures](https://learn.tradelabsai.com/forex/currency-futures/).

## Continue learning

- Next lesson: [Currency Futures](https://learn.tradelabsai.com/forex/currency-futures/)
- Previous lesson: [FX Swaps and Currency Swaps](https://learn.tradelabsai.com/forex/fx-swaps-and-currency-swaps/)
- Related: [FX Swaps and Currency Swaps](https://learn.tradelabsai.com/forex/fx-swaps-and-currency-swaps/): An FX swap exchanges currencies now and reverses later; a cross currency swap exchanges interest payments for years. Learn both, their pricing and their uses.
- Related: [How Options Work](https://learn.tradelabsai.com/options/how-options-work/): Options give the right, but not the obligation, to buy or sell an asset at a set price by a set date. Learn how options work, why traders use them and the key terms.
- Related: [Volatility Smile and Skew](https://learn.tradelabsai.com/volatility/volatility-smile-and-skew/): Implied volatility differs by strike, forming a smile or skew. Learn the shapes in equities, FX and commodities, why they exist and how to measure skew.
- Related: [Black-Scholes Model](https://learn.tradelabsai.com/options/black-scholes-model/): The Black Scholes model prices European options from five inputs. Learn the formula, its assumptions, a step by step example and where the model breaks down.
- Related: [Carry Trades in Forex](https://learn.tradelabsai.com/forex/carry-trades-in-forex/): A forex carry trade buys a high yielding currency funded by a low yielding one. Learn how it earns, famous unwinds, funding currencies and how to manage crash risk.
- Related: [Barrier Options](https://learn.tradelabsai.com/options/barrier-options/): Barrier options switch on or off if the underlying touches a set level. Learn knock in and knock out types, in out parity, pricing, uses and hedging challenges.