Currency Option Hedge Calculator

How the purchased currency-option hedge is compared

A base-currency payable is protected with a purchased call because the call gives the right to buy base currency at the strike if base currency becomes more expensive. A base-currency receivable is protected with a purchased put because the put gives the right to sell base currency at the strike if base currency becomes cheaper.

The hedged percentage receives the better of the entered expiry spot and strike for the relevant exposure direction. A payable uses the lower purchase rate; a receivable uses the higher sale rate. The open percentage remains translated at the entered expiry spot and receives no option protection.

Option premium is entered per hedged base-currency unit and multiplied only by the hedged amount. Other cost is one total quote-currency amount. The payable result adds both amounts to cost, while the receivable result subtracts them from proceeds so that a positive net hedge effect has the same favorable interpretation in both modes.

Unlike a forward hedge, the purchased option does not force the user to apply the strike when the entered expiry spot is more favorable. That asymmetric participation is purchased through the premium. The comparison therefore must not be described as a free rate lock or directly equated with the Batch 51 forward result.

The break-even expiry spot is the point where the option scenario and fully unhedged scenario are equal after entered premium and cost for the hedged share. No break-even is calculated at a zero hedge percentage because there is no protected amount across which to allocate cost.

One entered expiry spot is not a probability distribution. A hedge can improve an adverse scenario and reduce a favorable scenario by the premium. Choosing a strike, tenor or hedge percentage requires information about objectives, cash flows, option quotes, liquidity, risk tolerance and governance that this page does not possess.

Worked example from the audited fixture

The audited payable fixture enters a EUR 100,000 payable, a 60% purchased EUR call hedge at USD 1.10000 per EUR, hypothetical expiry spot 1.15000 and entered premium USD 0.03000 per hedged EUR.

1. EUR 60,000 is protected at 1.10000 for USD 66,000.00, EUR 40,000 remains open at 1.15000 for USD 46,000.00 and call intrinsic value on the hedged amount is USD 3,000.00.
2. Gross combined payable cost is USD 112,000.00. After USD 1,800.00 premium, net cost is USD 113,800.00 versus USD 115,000.00 fully unhedged, so this entered scenario improves by USD 1,200.00 and breaks even at 1.13000000.

Reproduce it: select “Load audited example” above. The immutable fixture is recomputed from the disclosed equation rather than copied from a provider result.

How to interpret the result

• First confirm whether the exposure is truly a base-currency payable or receivable. Selecting the wrong direction changes the purchased option from call to put and reverses the interpretation.
• A positive net hedge effect means the option improved only the entered expiry scenario after entered premium and cost. It does not show expected savings, hedge effectiveness or suitability.
• Test several documented expiry spots rather than presenting one chosen rate as expected. The premium can reduce a favorable scenario even when the option protects an adverse scenario.
• Verify that strike, premium, notional, expiry, cut, fixing, exercise style and settlement match the actual exposure. A model or indicative quote is not an executable hedge contract.
• Compare with the Currency Forward Hedge Calculator when deciding which arithmetic you need. A forward fixes the hedged portion at one rate; a purchased option retains favorable spot participation after premium.
• Treat break-even as a scenario boundary, not a recommendation to buy, exercise or hold an option. Taxes, funding, spread, early termination and operational handling can move the real threshold.

Assumptions and limits

• No exposure record, invoice, bank account, broker account, option chain, premium quote, volatility surface, position, order, exercise, assignment or settlement system is connected.
• The scenario is evaluated at expiry only. Before-expiry time value, volatility and rate changes, early exercise, closeout, roll and path dependence are excluded.
• The calculator assumes a purchased plain-vanilla call for a payable and purchased plain-vanilla put for a receivable. Written, collar, participating-forward and multi-leg structures are excluded.
• Cash versus physical settlement, fixing, expiry cut, premium currency, contract multiplier, deliverable, legal documentation, counterparty credit and collateral are not assessed.
• The premium and other cost are user-entered. Bid-ask spread, commission, tax, funding, conversion, exercise, assignment and settlement charges can differ or be missing.
• No strike, tenor, hedge percentage, option, provider, broker, exercise, settlement, accounting treatment, strategy, signal or trade is recommended.

Sources and methodology

• Bank for International Settlements — OTC FX Turnover 2025 — Primary reference for the current use of FX options to hedge currency risk and speculate.
• CME Group — Listed FX Options — FX-specific reference for call and put currency rights, premium, notional and expiry conventions.
• Options Industry Council — Options Basics — Reference for option-holder rights, writer obligations, premium and asymmetric protection.

Version 1.0.0 performs deterministic local arithmetic and uploads no entered value. Sources define option pricing, premium, contract and market boundaries; they do not verify an input, volatility, rate, premium, contract, provider quote, exercise, settlement or result.