How This Calculator Works

  • Compound interest is calculated by applying the periodic rate to the current balance, including previously earned interest.
  • Contributions are added at the chosen frequency and timing (beginning or end of period), then compounded going forward.
  • Withdrawals reduce the balance before interest is applied for that period.
  • Annual fees are deducted as a percentage of the year-end balance, reducing effective growth.
  • Inflation adjustment discounts the final nominal value to show equivalent purchasing power in today's dollars.
  • EAR (Effective Annual Rate) = (1 + r/n)ⁿ − 1, where r is the nominal rate and n is compounding periods per year.

This tool provides estimates for planning purposes. Actual investment returns, fees, and inflation may differ. It does not model taxes, transaction costs, or investment risk.

Formulas

  • Future Value (lump sum): FV = P × (1 + r/n)^(nt)
  • Future Value (with contributions): FV = P(1+r/n)^(nt) + PMT × [((1+r/n)^(nt) − 1) / (r/n)] × (1 + r/n × timing)
  • Effective Annual Rate: EAR = (1 + r/n)ⁿ − 1
  • Inflation-Adjusted Value: Real FV = FV / (1 + inflation)^t
  • Total Growth %: (FV − Total Contributions) / Total Contributions × 100

Frequently Asked Questions

Q: What is compound interest?

Compound interest is interest calculated on the initial principal plus all accumulated interest from previous periods. Unlike simple interest, you earn "interest on interest," causing growth to accelerate over time.

Q: How does contribution timing affect results?

Contributions made at the beginning of each period start earning interest immediately, while end-of-period contributions earn one less compounding cycle. Over long timeframes, this difference can be meaningful.

Q: What is the effective annual rate (EAR)?

The effective annual rate is the actual return after accounting for compounding frequency. For example, 5% compounded monthly has an EAR of approximately 5.12%.

Q: How does inflation affect my investment?

Inflation reduces purchasing power over time. The calculator shows both the nominal future value and an inflation-adjusted value representing what that money would be worth in today's dollars.

Q: What is the difference between nominal and inflation-adjusted value?

Nominal value is the raw dollar amount in the future. Inflation-adjusted value discounts that amount by the assumed inflation rate to show equivalent purchasing power in today's money.

Q: How do fees impact long-term growth?

Even a small annual fee compounds into a significant drag over decades. A 0.5% annual fee on an 8% return effectively reduces your growth rate to 7.5%.

Q: Can I calculate how much I need to save to reach a goal?

Yes. Use the reverse calculator to enter your target amount, timeframe, and expected return — the calculator will solve for the required regular contribution.

Q: What compounding frequencies are supported?

Daily, weekly, biweekly, monthly, quarterly, semiannually, and annually. More frequent compounding yields slightly higher returns due to the EAR effect.

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