Monthly rate
Daily rate
Formulae
APR → EAR: EAR = (1 + APR/m)m − 1, where m is compounding periods per year.
EAR → APR: APR = m × ((1 + EAR)1/m − 1).
Monthly rate = (1 + EAR)1/12 − 1. Daily rate ≈ (1 + EAR)1/365 − 1.
Convert a nominal APR with a given compounding frequency to an Effective Annual Rate (EAR), or convert an EAR back to a nominal APR.
APR → EAR: EAR = (1 + APR/m)m − 1, where m is compounding periods per year.
EAR → APR: APR = m × ((1 + EAR)1/m − 1).
Monthly rate = (1 + EAR)1/12 − 1. Daily rate ≈ (1 + EAR)1/365 − 1.