Started earlier
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Portfolio at retirement
- Total contributed
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- Investment growth
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- Time contributing
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- Time compounding after contributions stopped
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Investing time-value calculator
See what an investing head start is worth, and what a later investor would need to do to catch up.
Compare someone who starts investing earlier with someone who starts later. Each investor has a start age and a contribution-end age; both balances then compound until the same retirement age.
In compound growth, time sits in the exponent. Giving money more years to compound can have an outsized effect on the final result.
No opinions. No hidden assumptions. Just arithmetic.
Then stops contributing and lets the balance compound until retirement.
Then stops contributing and lets the balance compound until retirement.
Uncheck to enter a different monthly amount for the later investor.
Entered as an effective annual return and applied to both investors in the main comparison. Zero and negative values are allowed.
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Portfolio at retirement
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Portfolio at retirement
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Ending portfolio if contributions continue to retirement
The user-entered annual return is an effective annual return. It is converted to an equivalent monthly rate:
r_m = (1 + r_a)^(1/12) − 1
Contributions occur at the end of each month. The future value of a constant monthly contribution P over n months is:
FV = P × ((1 + r_m)^n − 1) / r_m If r_m = 0: FV = P × n
Each investor contributes a chosen monthly amount for a defined period, then the existing balance compounds with no further contributions until retirement. The two investors can use different monthly contributions.
Earlier contributions have more years to compound. Growth can itself generate additional growth, so time sits in the exponent of the compounding formula.
Yes. They may need to contribute more, earn a higher return, invest longer, or use some combination of these.
No. The result depends on returns, contribution amounts, contribution periods, and time horizons. This calculator reports the actual outcome under the assumptions you enter.
It is the shared effective annual return at which the two strategies produce the same retirement value, given the contribution calendars and monthly amounts entered. The search is bounded at approximately −50% to +300%.
No. Results are nominal dollars and contributions remain constant.
Whatever effective annual return you enter. The default 8% is an illustration, not a forecast.
Disclaimer: All content on The Long Math — including articles, essays, calculators, tools, or any other material — is provided solely for educational and informational purposes and does not constitute financial, tax, legal, or investment advice. Any results or projections are based on simplified models, assumptions, and user-supplied inputs and may not reflect real-world outcomes. You are responsible for evaluating the accuracy and applicability of the information provided and for conducting your own due diligence. Before making financial decisions, consult a qualified professional.