Mathematical growth projection

Compound Interest Calculator

Project principal growth under a stated compound-interest model, with annual through daily compounding and optional end-of-period contributions.

Enter projection details

Enter values and select Calculate.

Compound-interest model

Without contributions: A = P(1 + r/n)nt. Daily means 365 equal compounding periods per year.

Example: $10,000 at 5% compounded annually for 10 years grows to about $16,288.95 under this mathematical model.

Contribution timing

Monthly contributions are added at the end of each of 12 equal monthly steps using the compounding choice’s equivalent monthly growth factor. Yearly contributions are added after that year’s interest. They are never treated as an opening lump sum.

Assumptions and limits

  • Whole-year projections from 1 through 100 years.
  • Annual rates from −99% through 1,000%; calculated values must remain finite.
  • Negative rates are permitted as a mathematical decline model.
  • No taxes, inflation, fees, withdrawals, or variable returns are modeled.

This is a mathematical projection, not financial advice or a promise of investment performance.

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