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Forward Premium Calculator

Estimate an implied forward FX rate from spot, quote-currency rate, base-currency rate, and tenor, then measure the resulting forward premium or discount.

Last updated

Translate carry into an implied forward premium or discount Enter a spot quote as quote currency per one base currency. The calculator applies a simple covered-interest-parity relationship to estimate the matching forward rate and the annualized premium or discount.

Assumptions

This is a simple-money-market covered-interest-parity estimate. It does not adjust for day-count conventions, bid-ask spreads, capital controls, cross-currency basis, or broken-date settlement details.

Result

0.99% premium

Spot of 1.1000 implies a forward rate of 1.110837 over 6 months.

Implied forward rate
1.110837
Forward points
0.010837
Forward premium / discount
0.99%
Annualized premium / discount
1.97%
Quote minus base rate
2%
Tenor
6 months
Forward premium The quoted base currency is trading at a forward premium versus spot under the entered rate differential and tenor.

Interpretation note

A forward premium or discount is not a forecast of where spot must trade later. It is the carry-consistent difference between spot and forward under the entered rate relationship and tenor.

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FX Carry

Forward premium calculator guide: spot rate, carry differential, forward points

A forward premium calculator estimates the carry-consistent difference between a spot FX rate and an implied forward rate over a chosen tenor. It is useful because forward premiums and discounts can look like directional market signals when they are often just the mechanical result of the entered interest-rate differential and quote convention.

What forward premium is measuring

Forward premium compares the implied forward rate with spot. If the forward rate is above spot, the base currency is at a forward premium in the chosen quote convention. If the forward rate is below spot, it is at a forward discount.

That distinction matters because traders, hedgers, and treasury teams often need to separate the carry-driven forward adjustment from a true view on where the spot market might trade later. The two are not the same thing.

The covered-interest-parity formula behind the result

This calculator uses a simple covered-interest-parity relationship with the spot quote entered as quote currency per one base currency. The quote-currency rate sits in the numerator and the base-currency rate sits in the denominator.

After solving the forward rate, the tool converts the difference from spot into forward points, a term premium or discount, and an annualized premium or discount so the tenor effect is easier to compare across maturities.

Forward rate = Spot rate x (1 + Quote-currency rate x term) / (1 + Base-currency rate x term)

The simple-rate covered-interest-parity relationship used by this calculator.

Forward premium or discount = (Forward rate / Spot rate - 1) x 100

The percentage difference between forward and spot before annualization.

Worked example: 1.1000 spot, 5.00% quote rate, 3.00% base rate, 6 months

Suppose the spot quote is 1.1000 quote currency per one base currency, the quote-currency money-market rate is 5.00%, the base-currency rate is 3.00%, and the tenor is six months. The implied forward rate is about 1.1108, which puts the base currency at roughly a 0.99% forward premium over the six-month period.

Annualized, that premium is roughly 1.97%. The result is close to, but not exactly equal to, the simple 2-point interest differential because the parity relationship compounds both carry factors over the term.

Why forward premium is not a forecast

A forward premium or discount does not tell you where spot must trade on the future settlement date. It tells you the carry-consistent forward price implied by the entered rate relationship and quote convention.

Real market forwards can also deviate from a textbook parity estimate because of cross-currency basis, collateral terms, bid-ask spreads, capital constraints, and settlement conventions. That is why a calculator like this is best used as a transparent benchmark rather than as a final dealing quote.

Further reading

Frequently asked questions

What does a forward premium mean?

It means the implied forward rate is above spot in the quote convention you entered. That reflects the carry relationship between the two currencies over the selected tenor, not necessarily a directional spot forecast.

Why is the annualized premium different from the simple interest-rate spread?

Because the forward relationship compounds the quote-currency and base-currency carry factors over the term. The premium is close to the rate spread for short maturities, but not always identical.

Does this calculator price a real tradeable forward quote?

No. It gives a transparent parity estimate. Real dealing quotes can differ because of basis, collateral, settlement conventions, credit charges, and bid-ask spreads.

Is a forward premium the same as expected appreciation?

No. Forward premium is a pricing relationship between spot, tenor, and carry. It should not be read as a guaranteed prediction of future spot moves.

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