A forward discount means that a currency costs less for forward delivery than for spot delivery, when both exchange rates use the same quote direction. For a business fixing a future currency conversion, it describes how the agreed forward rate compares with today’s spot rate. It does not measure the hedge’s eventual profit or loss.
Always name the currency that is at a discount. With prices in USD per EUR, a lower forward price means the euro is at a forward discount against the dollar. In market-pair notation that quote is EUR/USD: EUR is the base currency and USD the quote currency. Market-pair notation and dimensional units appear in opposite orders.
A one-year quote, read carefully
Consider these fictional quotes observed at the same time, with bid–ask spreads and fees excluded:
| Exchange | Rate, in USD per EUR |
|---|---|
| Spot | 1.20 |
| One-year forward | 1.18 |
Let denote the spot exchange rate and the forward rate for the stated maturity. The signed term premium or discount is
A negative result is a discount of the base currency; a positive result is a forward premium. Here,
Equivalently, the euro trades at a 1.6667% forward discount, quoting the discount’s positive magnitude. The outright rate difference is USD per EUR; it is not itself a percentage. If a system expresses this difference in forward points, its point scale must also be known.
A business expecting to receive EUR 100,000 in one year could agree today to sell that amount through an FX forward contract, fixing USD 118,000 at settlement. The same euro amount converted at today’s spot quote corresponds to USD 120,000. Their USD 2,000 difference compares exchanges on different dates; it is not a realised trading loss. Comparing the hedge with leaving the receipt unhedged requires the spot rate that actually prevails when the euros arrive.
Invert the quote, change the denominator
Taking reciprocals describes the same fictional exchange relationship in EUR per USD, the market pair USD/EUR:
The forward quote now exceeds spot. The dollar is at a premium against the euro:
The opposite currency has the opposite premium/discount sign, but not the same percentage magnitude. Each percentage divides by a different spot quotation. For positive spot and forward rates, the exact conversion is
Original synthetic quote comparison. Both panels describe quotes agreed at the same time for the same one-year term. Percentages are rounded to four decimal places; fractions are exact. Arrows compare delivery terms, rather than tracing a future spot-price path.
For executable dealer prices, inversion also exchanges bid and ask. Do not invert a bid and continue treating it as a bid. The FX primer works through quotation direction, bid–ask conversions and the spot–forward interest-rate relationship. Its public page is a preview; the full lesson is available with a free signed-in account.
What produces the discount?
Under frictionless covered interest rate parity, the two currencies’ funding growth factors over matching dates determine the forward/spot ratio:
where each is the maturity amount of one unit deposited in that currency. Thus the euro trades at a USD-per-EUR discount when its funding growth factor exceeds the dollar’s. This comparison assumes matching borrowing and lending opportunities, no transaction costs and no relevant credit or transfer restrictions. Actual tradable quotes also reflect spreads and funding conditions.
The quoted discount is neither an upfront option premium nor a guaranteed return from buying the currency forward. The contract fixes an exchange rate; the future spot rate remains uncertain. A funding-based pricing relationship does not establish what traders expect spot to be.
The example reports a one-year term comparison. For another tenor, distinguish the term discount from an annualised quotation. If a stated simple annualisation convention assigns the period a year fraction , its signed annualised figure is . State the dates, day-count basis and annualisation method; changing them changes the reported annualised number without changing the agreed currency exchange.
Sources
- Bank of England: further details about forward premium/discount rates. Explains forward margins in currency units or percentages per annum and why the named currency and quotation convention matter.
- CME Group: The Importance of FX Futures Pricing and Basis. Explains base/terms currency notation and the connection between interest-rate differentials and prices above or below spot, using FX futures.
- John C. Hull, Options, Futures, and Other Derivatives, ninth Global Edition, Pearson, 2018, §5.10, pp. 139–141. Currency quote units and the covered funding replication underlying FX forward pricing.