📈 Interest Rate Converter
Convert APR to APY and calculate effective rates
APR (Nominal)
5.00%
APY/EAR (Effective)
5.116%
🔄 Equivalent Nominal Rates (Same EAR)
Monthly (n=12)
5.000%
Quarterly (n=4)
5.021%
Semi-Annual (n=2)
5.052%
Annual (n=1)
5.116%
Compound Interest FV
$12,833.59
Interest: $2,833.59
Simple Interest FV
$12,500.00
Interest: $2,500.00
Continuous Compounding FV
$12,840.25
Rate: 4.990%
Real Rate (3% inflation)
2.05%
Continuous Rate
4.990%
📐 Formulas
Effective Annual Rate (EAR)
EAR = (1 + r/n)^n - 1
Continuous Compounding Rate
r_c = ln(1 + EAR)
Future Value (Compound)
FV = P × (1 + r/n)^(n×t)