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Loan Mechanics

Day Count Convention

The method used to calculate the fraction of a year for interest accrual — most commonly Act/360 (USD, EUR) or Act/365 Fixed (GBP).


Day Count Convention

A day count convention defines how to calculate the fraction of a year for interest accrual. It specifies both how to count the days in a period (the numerator) and the assumed length of a year (the denominator).

Common Conventions in RFR Loans

ConventionNumeratorDenominatorUsed For
Actual/360 (Act/360)Actual calendar days360SOFR (USD), €STR (EUR), EURIBOR (EUR)
Actual/365 Fixed (Act/365)Actual calendar days365SONIA (GBP), AONIA (AUD)
Actual/Actual (ISDA)Actual calendar daysActual days in yearGovernment bonds
30/360Assumes 30 days/month360US corporate bonds, mortgages

Act/360 vs Act/365: The Practical Difference

Act/360 produces a slightly higher interest payment than Act/365 for the same nominal rate, because dividing by 360 instead of 365 makes each day slightly "heavier."

For a 90-day period at 4.00%:

  • Act/360: 4.00% × 90/360 = 1.000% of principal
  • Act/365: 4.00% × 90/365 = 0.986% of principal

This difference is why LIBOR and SOFR are quoted on an Act/360 basis — lenders receive slightly more interest per day compared to an Act/365 quote of the same rate.

How Day Count Affects SOFR Calculations

In the compounding formula, the basis appears in two places:

  1. Daily factor: (1 + rᵢ × dᵢ / basis)
  2. Annualisation: × basis / D

The basis value must be consistent throughout — SOFR and €STR always use 360, SONIA always uses 365. Mixing conventions produces incorrect effective rates.

Why It Matters

When comparing rates across currencies, always check the day count. A 4.00% SOFR loan (Act/360) and a 4.00% SONIA loan (Act/365) have different true costs for the same period.

Our RFR Loan Calculator applies the correct day count convention automatically for each rate (SOFR/€STR → Act/360, SONIA → Act/365).

Related Terms

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