interest rate calculator

Interest Rate Calculator – Compute Rate & Final Amount

Interest Rate Calculator

Compute annual interest rate from principal and final amount, or compute final amount from principal and rate. Supports simple & compound interest.

No calculation yet — enter values and click Calculate.

Formulas:
  • Simple: A = P × (1 + r × t)
  • Compound: A = P × (1 + r/n)^(n × t) → r = n × ((A / P)^(1/(n t)) − 1)
  • All rates shown as annual % (r × 100).

Result Details

Detailed step-by-step calculations and breakdown will appear here after running a calculation.

Time units: Enter time in years (use decimals: 6 months = 0.5, 30 days ≈ 30/365 ≈ 0.08219).
Compounding: Annual (n=1), Quarterly (n=4), Monthly (n=12), Weekly (n=52), Daily (n=365).

How the Interest Rate Calculator Works

The calculator determines the interest rate based on the principal amount, total interest earned or paid, and the time period. It uses standard financial formulas to compute the exact annual interest rate.

Required Inputs

1. Principal Amount

The original amount borrowed or invested.

2. Total Interest

The total amount of interest gained (investment) or paid (loan) over the selected time period.

3. Time Period

The duration in years, months, or days.

4. Compounding Frequency

You can select annual, monthly, quarterly, weekly, or daily compounding

Calculation Method

Simple Interest Formula

Used when compounding is not applied:
Interest Rate = (Interest ÷ (Principal × Time)) × 100

Compound Interest Formula

When compounding frequency is selected:
Rate = ( (A ÷ P)^(1 / (n × t)) − 1 ) × n × 100

  • n = compounding periods
  • t = time in years

Outputs Provided

1. Annual Interest Rate (%)

Shows the accurate yearly rate based on selected inputs.

2. Total Value at End

Displays the final amount including interest for compound calculations.

3. Comparison Chart

Shows simple vs compound interest difference over the selected period.

Use Cases

  • Comparing investment growth
  • Understanding loan rates
  • Evaluating credit card or mortgage interest
  • Checking returns for savings or fixed deposits
  • Business and financial planning

Why Use This Calculator?

  • Accurate simple and compound interest calculations
  • Works for loans, savings, and investments
  • Supports multiple compounding frequencies
  • Gives clear breakdown of interest growth

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