Compound Interest Calculator

Calculate compound interest and final balance from principal, annual rate, years, and compounding frequency. See how much interest is earned.

Formula

Total amount = principal × (1 + annual rate ÷ (100 × periods per year)) raised to (periods per year × years).

Interest earned is the total amount minus the original principal. Daily compounding uses 365 periods per year.

Calculation with your values

{
  "calculator": "compound-interest-calculator",
  "input_types": [
    "float",
    "float",
    "dropdown",
    "float"
  ],
  "input_labels": [
    "P",
    "R",
    "n",
    "t"
  ],
  "input_values": [
    "10000.00",
    "4.0",
    "1",
    "10"
  ],
  "input_units": [
    "currency",
    "percentage",
    "compounding a year",
    "years"
  ],
  "extra": {
    "n": {
      "items": [
        [
          "Annually",
          1
        ],
        [
          "Semi-Annually",
          2
        ],
        [
          "Quarterly",
          4
        ],
        [
          "Every two months",
          6
        ],
        [
          "Monthly",
          12
        ],
        [
          "Twice a month",
          24
        ],
        [
          "Every two weeks",
          26
        ],
        [
          "Weekly",
          52
        ],
        [
          "Daily(365)",
          365
        ]
      ]
    }
  },
  "input_descriptions": [
    "Principal Amount",
    "Annual Interest Rate",
    "Compound",
    "Time (in years)"
  ],
  "intermediates": [
    [
      "r",
      " R /100"
    ]
  ],
  "title": "Compound Interest",
  "category": "Financial",
  "formula_mathjax": "\\({\\ P (1 + \\dfrac{ r }{ n })^{ n  t }\\ }\\)",
  "formula_mathjax_sub": "\\({\\  P (1 + \\dfrac{ r }{ n })^{ n * t }\\ }\\)",
  "formula": " P * ( 1 + r / n ) ** ( n * t ) ",
  "op_label": "Total Amount",
  "explanation": "Calculate compound interest and final balance from principal, annual rate, years, and compounding frequency. See how much interest is earned.",
  "template": "calculator"
}