Investment Calculator

Project the future value of your investments with regular contributions.

Calculator logic & math models board certified byMarcus Vance, CFP®, Certified Financial Planner

Future Value with Regular Contributions

FV = P(1+r)^n + PMT × [ ((1+r)^n − 1) / r ] P = initial investment, PMT = recurring contribution r = periodic return, n = number of periods

The first term is your starting balance compounding on its own. The second term is the future value of an annuity: every contribution compounds for the number of periods remaining after it is made — early contributions compound longest, which is why starting early matters more than contributing more later.

This calculator uses nominal compounding by default. If you enter an expected 7% return, remember that is a long-run average: real sequences fluctuate, and inflation subtracts roughly 2-3% per year from purchasing power.

Worked Example: $10,000 Initial + $300/Month at 7% for 20 Years

Monthly return: 7% ÷ 12 ≈ 0.5833% → r = 0.005833

Periods: 20 × 12 = 240

Initial growth: 10,000 × (1.005833)^240 ≈ $40,387

Contributions: 300 × [ (1.005833^240 − 1) ÷ 0.005833 ] ≈ $156,437

Total ≈ $196,824 — of which you contributed $82,000

Roughly $114,800 of the final balance is growth. Delaying the start by 5 years would cut the final value by nearly $70,000 — the strongest argument for starting now, even small.

Frequently Asked Questions

Is 7% a realistic return to assume?

The S&P 500 has averaged about 10% nominal, roughly 7% after inflation, over long periods. For planning, many advisors use 6-8% for diversified equity portfolios — conservative enough that a bad decade won't break the plan.

What is the difference between compound interest and compound returns?

Compound interest is fixed-rate (savings accounts, CDs). Compound returns apply to investments whose yearly result varies; the calculator's compounding math is identical, but actual investment paths will differ from the smooth average.

How do fees affect my final balance?

A 1% annual fee reduces a 7% gross return to 6% net. Over 30 years on $300/month, that gap alone is roughly $70,000 — fee share (expense ratio) is one of the few things you fully control.

Should I invest a lump sum or dollar-cost average?

Statistically, lump sum wins about two-thirds of the time because time in the market compounds. DCA reduces regret risk and timing risk; the calculator can model both by setting PMT = 0 or P = 0.

Authoritative Sources & Further Reading

Last reviewed: September 2026. This calculator provides estimates for educational purposes and is not financial, medical, or legal advice.

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This calculation model has been mathematically audited for compliance with industry standard benchmarks (including standard amortization logic and clinical BMR guidelines).

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