Key facts
- Compound interest formula: FV = P(1 + r/n)^(nt) + PMT × ((1 + r/n)^(nt) − 1) / (r/n).
- Historical S&P 500 average return is 10.0% nominal / 6.5% real (after inflation) since 1926.
- A 60/40 stock/bond portfolio has averaged 8.7% nominal / 5.5% real since 1926.
- Starting 10 years earlier roughly doubles the ending balance because of how compounding stacks.
- The "Rule of 72" — divide 72 by your interest rate to estimate doubling time. At 7% your money doubles every ~10.3 years.
- 2026 average inflation expectation: 2.2%. Use real (inflation-adjusted) returns for retirement planning, not nominal.
- Tax-deferred accounts (401(k), IRA) compound at the gross return; taxable accounts compound at the after-tax return — typically 1–2% lower for high earners.
Common follow-up questions
What is a realistic average annual return for retirement savings?
For long-term retirement planning (20+ year horizon), 6–7% real return on a balanced 60/40 portfolio is the standard assumption. Equity-heavy portfolios (80/20) can target 7–8% real. Conservative (40/60 or 30/70) is more like 4–5% real. Use real returns when projecting your retirement income needs, since retirement spending also rises with inflation.
How does inflation affect compound interest?
A 7% nominal return at 3% inflation produces only ~3.9% real growth in purchasing power. Over 30 years, that's the difference between a $612,000 nominal ending balance and a $367,000 real-dollar ending balance — same wealth in 2056 dollars but very different in today's buying power. Always plan in real (inflation-adjusted) terms.
When does compound interest really start to work?
Years 1–10: contributions dominate. Years 10–20: contributions and growth roughly equal. Years 20+: growth dominates and compounding "snowballs." This is why starting young matters disproportionately — a 25-year-old who saves for 10 years and then stops can end up with more at 65 than a 35-year-old who saves for 30 years.
What is the safe withdrawal rate?
The "4% rule" (Bengen 1994, updated Bengen 2021) suggests withdrawing 4–4.5% of your starting portfolio in year one and adjusting that dollar amount for inflation each year, with a 90%+ probability of lasting 30 years. Conservative variations use 3.5%. The lower the rate, the longer your money lasts.
Are bonds part of compound interest planning?
Yes — bond interest also compounds, though at lower rates (typically 3–5% historically). Most retirement portfolios shift toward bonds approaching retirement to dampen volatility. The trade-off is lower expected return: a 100% bond portfolio has averaged ~5% nominal historically, vs ~10% for stocks.
When this doesn't apply
Past returns don't guarantee future results. Sequence-of-returns risk — getting bad years early in retirement — can derail otherwise sound math. Use Monte Carlo simulations rather than single-point projections for actual retirement planning.
Disclaimer: This calculator is for educational and informational purposes only and does not constitute financial, tax, or investment advice. Results are estimates based on the assumptions and inputs provided and are not guaranteed. Actual outcomes may vary. Consult with a qualified financial advisor or tax professional before making any financial decisions.