Forward Exchange Rate Calculations, Points, Premiums, and Discounts

Updated for the 2026-2027 CFA® Level I curriculum.

This note covers how to calculate an outright forward exchange rate from forward points, how to express that forward rate as a premium or discount, and how to name which currency trades at a premium and which trades at a discount. It builds directly on spot-forward parity but does not repeat the arbitrage proof. Level I questions test whether you can read a quote correctly, scale the points, and interpret the result for both currencies in the pair.

Key Takeaways

• The outright forward rate equals the spot rate adjusted by forward points, not a separately quoted number.

• Forward points are quoted in the smallest unit of the exchange rate, so you must match the point value to the currency pair's decimal convention.

• A positive point value raises the outright forward rate; a negative point value lowers it.

• The forward premium or discount on the base currency equals for the stated contract period.

• Annualizing multiplies the period result by , where is the tenor expressed in years.

• If one currency trades at a forward premium, the other currency in the pair trades at a forward discount. They cannot both show a premium.

• Under covered interest rate parity, the currency with the higher interest rate trades at a forward discount.

What You Need to Know for CFA Level I

• Read the quote convention first: identify the base currency and the price currency before doing any math.

• Confirm the decimal scale for forward points before applying them. Do not assume every pair uses four decimal places.

• Convert points to rate units by multiplying by the stated point value, then add the signed result to spot.

• Calculate the period premium or discount as , then annualize only if the question asks for an annualized figure.

• State the premium or discount result in terms of a named currency, not just a number.

• Check your result against the interest rate relationship as a sanity check, without repeating the full parity derivation.

Outright Forward Rates and Forward Points

A spot rate is the exchange rate for settlement today. A forward rate is the rate agreed today for settlement at a future date. Forward points are the adjustment added to or subtracted from the spot rate to get that forward rate.

Forward points are quoted in the smallest price increment of the currency pair, often called pips. The point value tells you what one point is worth in rate terms. For a pair quoted to four decimal places, the point value is typically 0.0001. For a pair quoted to two decimal places, it may be 0.01. This detail matters because using the wrong point value produces an outright rate that is off by a factor of ten or more.

The tenor is the time to settlement, commonly one month, three months, or six months. Longer tenors usually carry larger point adjustments, but the sign and size depend on the interest rate differential between the two currencies, not on tenor length alone.

Where:

• = outright forward rate

• = spot rate

• = forward points as quoted, with sign

• = rate value of one point for that currency pair

Negative points reduce the forward rate below spot. Positive points raise it above spot. This section supports the core skill tested at Level I: converting a quoted spot rate and forward points into a usable outright forward rate.

Calculating a Forward Rate from Points

Follow a consistent sequence every time you calculate an outright forward rate.

1. Identify the quote and its decimal places.

2. Confirm the point value implied by that decimal scale.

3. Multiply the forward points by the point value, keeping the sign.

4. Add that signed adjustment to the spot rate.

5. State the forward rate in the same units as the spot quote.

6. Check that the result is reasonable. A small point adjustment should not produce a large jump in the outright rate.

The table below shows how outright forward rates change across tenors for a single currency pair, using a spot rate of 0.9000 (price currency per unit of base currency) and a point value of 0.0001.

Notice the points grow more negative as tenor lengthens. That pattern reflects a wider interest rate gap accumulating over more time, not a separate calculation rule.

Forward Premium and Forward Discount

Once you have the outright forward rate, compare it to spot to describe the premium or discount.

Where:

• = outright forward rate

• = spot rate

If this result is positive, the base currency trades at a forward premium. If negative, it trades at a forward discount. To annualize a simple pro rata result, multiply by 1/t, where t is the tenor in years. Label whether your answer is a period figure or an annualized figure, since Level I questions test both.

The price currency always shows the opposite result. If the base currency trades at a forward discount, the price currency trades at a forward premium against it. Only one of the two currencies in a pair can be at a premium at a time.

Connecting Forward Quotes to Interest Rates

Under covered interest rate parity, the currency with the higher interest rate trades at a forward discount, and the currency with the lower interest rate trades at a forward premium. This relationship gives you a quick consistency check on your calculated result. If your outright forward rate implies the higher-yielding currency is at a premium, recheck your sign and point value before finalizing an answer. The full arbitrage mechanics and parity derivation belong on the Spot-Forward Parity and Covered Interest Arbitrage note.

Calculation Checklist

Use this eight-step checklist before finalizing any forward rate calculation.

1. Confirm which currency is the base currency and which is the price currency.

2. Confirm the sign of the forward points as quoted.

3. Confirm the decimal scale and point value for the pair.

4. Confirm the tenor stated in the question.

5. Confirm the denominator used in the percentage calculation is the spot rate.

6. Confirm whether the question asks for a period result or an annualized result.

7. Name the currency that trades at a premium and the currency that trades at a discount.

8. State your final answer in the units the question requests.

Worked Example

Scenario. Spot $\frac{USD}{CHF}$ is quoted at 0.9000, meaning 0.9000 Swiss francs per one US dollar. USD is the base currency and CHF is the price currency. The 3-month forward points are quoted at -36, with a point value of 0.0001. The tenor is three months, or 0.25 years.

Step 1: Calculate the outright forward rate

F = 0.9000 + (-36 \times  0.0001)

F = 0.9000 - 0.0036

F = 0.8964

Step 2: Calculate the period premium or discount on USD

Step 3: Annualize the result

USD trades at an annualized forward discount of 1.60% against CHF. Because USD is at a discount, CHF trades at a forward premium against USD over the same period. This result is consistent with covered interest rate parity if USD carries the higher three-month interest rate.

Common Exam Traps

Treating points as percentage points

Forward points are rate units, not percentages. A quote of -36 points is not -36%. Convert points to rate units first using the point value, then calculate the percentage separately.

Using the wrong decimal scale

Not every currency pair uses 0.0001 as the point value. Confirm the scale from the quote before multiplying, or your outright rate will be off by a factor of ten or one hundred.

Mishandling the sign

Adding negative points instead of subtracting them, or subtracting positive points instead of adding them, flips the direction of the forward rate. Keep the sign attached to the points throughout the calculation.

Annualizing without being asked

If the question asks for the contract-period premium or discount, stop there. Multiplying by 1/t when annualization was not requested produces a mismatched answer choice.

Naming the wrong currency at a premium

After calculating for the base currency, remember the price currency shows the opposite result. Confusing the two is a common source of missed points.

Practice Question

Spot is quoted at 1.2500, with GBP as the base currency. The 6-month forward points are +45, with a point value of 0.0001. Calculate the annualized forward premium or discount on GBP and identify which currency trades at a premium.

A. GBP trades at an annualized forward premium of 0.72% B. GBP trades at an annualized forward discount of 0.72% C. GBP trades at an annualized forward premium of 7.20%

FAQs About Forward Exchange Rates