How it’s calculated
Your current balance grows with compound interest, and the monthly contributions form an annuity. By default each contribution is made at the end of the month (an ordinary annuity, as in most payroll plans and the OpenStax formula); choose start-of-month to add one month's growth to every deposit (an annuity due). Dividing by cumulative inflation shows what the total would buy in today's prices.
Example (OpenStax Contemporary Mathematics 6.6): depositing $250 a month at 3.75% compounded monthly for 8 years (96 deposits) grows to $27,938.20. With 3% inflation that is about 27,938.20 ÷ 1.03⁸ = $22,054 in today's money.
Returns vary year to year and can be negative. Fees and taxes reduce growth. Treat this as an illustration, not a plan; consider a qualified financial professional.
Frequently asked questions
What return should I assume?
Lower than you hope. A diversified portfolio’s long-run return depends on the mix of stocks and bonds and on fees; testing several rates (e.g. 4%, 6%, 8%) shows the range of outcomes.
Why show the inflation-adjusted value?
A million dollars in 30 years will buy much less than a million today. Today’s-money figures are easier to compare with your current spending.
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Sources
- Contemporary Mathematics, 6.6 Methods of Savings (future value of an annuity) — OpenStax
- Compound Interest Calculator — U.S. Securities and Exchange Commission (Investor.gov)
- Planning for retirement — Consumer Financial Protection Bureau
Formulas are taken from the free public references above. Results are provided “as is” for informational and educational purposes only. See our disclaimer.
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