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Dated assumptions · transparent formulas

Future Value Calculator

Enter a starting balance, recurring deposits or withdrawals, time horizon, and rate assumptions to compare nominal and inflation-adjusted future values.

Educational calculator. Inputs stay in your browser. Historical ranges are not forecasts or investment advice.

Inputs

Use a negative value to model withdrawals.

Lower estimate: 4.28%Middle estimate: 10.80%Higher estimate: 12.04%

Estimate comparison

Nominal and real future value by selected return assumption
AssumptionRateNominal FVReal FV
Lower estimate1-year Treasury constant maturity4.28%$30,274.62$21,796.87
Middle estimateS&P 500 rolling 30-year total-return median10.80%$50,754.75$36,541.98
Higher estimateS&P 500 rolling 30-year total-return 75th percentile12.04%$56,192.81$40,457.23

Growth curve and yearly schedule

The same projection engine draws each estimate and feeds the collapsible year-by-year detail.

Projected ending balance by year$0$28.1K$56.2KYear 0Year 5Year 10
  • Lower estimate
  • Middle estimate
  • Higher estimate
Show year-by-year detail
Opening balance, contributions, interest, and closing balance by year
YearOpeningDepositsInterestEnding
1$10,000.00$1,200.00$1,196.32$12,396.32
2$12,396.32$1,200.00$1,468.32$15,064.64
3$15,064.64$1,200.00$1,771.20$18,035.84
4$18,035.84$1,200.00$2,108.46$21,344.30
5$21,344.30$1,200.00$2,484.00$25,028.30
6$25,028.30$1,200.00$2,902.17$29,130.47
7$29,130.47$1,200.00$3,367.81$33,698.28
8$33,698.28$1,200.00$3,886.30$38,784.58
9$38,784.58$1,200.00$4,463.64$44,448.22
10$44,448.22$1,200.00$5,106.52$50,754.75

Rate assumptions and sources

Lower / Middle / Higher estimates · reviewed 2026-09-12

Lower estimate

4.28%

FRED: 1-Year Treasury Constant Maturity Rate (DGS1)

Retrieved 2026-09-12 · observation 2026-09-10

Dated benchmark snapshot.

Middle estimate

10.80%

Damodaran historical returns, 1928-2025

Retrieved 2026-09-12

Median of 69 overlapping 30-year S&P 500 total-return windows through 2025.

Higher estimate

12.04%

Damodaran historical returns, 1928-2025

Retrieved 2026-09-12

75th percentile of 69 overlapping 30-year S&P 500 total-return windows through 2025.

Inflation: 3.34%
FRED: Consumer Price Index for All Urban Consumers (CPIAUCSL)
Compound annual change from August 2016 to August 2026; user input can replace it.

How this future value calculator works

Start with the balance you already have, add a recurring deposit or withdrawal, and choose how long the money stays invested. The calculator converts your annual rate to the effective periodic rate for the selected compounding frequency before it projects each balance.

The result table updates immediately and shows three editable assumptions side by side. You can compare a lower bond-like return, a middle long-term market estimate, and a higher historical range without creating an account or leaving the page.

Monthly deposits, inflation, and withdrawals are calculator controls here rather than separate low-volume destinations. The related annuity calculator adds growing-payment support without competing for the head term.

Step 1

Enter

Balance, cash flow, horizon

Step 2

Convert

Periodic rate and timing

Step 3

Project

Three estimate columns

Step 4

Interpret

Nominal and real value

Inputs and methodology

The starting amount is the balance today. A positive recurring contribution adds money each period; a negative recurring amount models withdrawals. Contribution frequency can be annual, monthly, or biweekly, and payment timing controls whether each cash flow occurs at the beginning or end of a period.

Compounding frequency determines how the annual nominal rate is converted: annual, semiannual, quarterly, monthly, or daily. The calculator keeps full precision internally and rounds only the displayed USD values.

Every default rate identifies its benchmark, source, observation date, and methodology. Treasury and CPI values come from FRED; long-term S&P inputs come from documented historical ranges. Each rate remains editable and is an assumption, not a forecast or recommendation.

Starting amount$10,000
Monthly contribution$100
Years10
Annual rate4.28%-12.04%

Reading nominal and real results

Nominal future value is the projected account balance in future dollars. Real future value divides that balance by the inflation factor for the same horizon, so it expresses the result in current purchasing power.

The Lower, Middle, and Higher columns are sensitivity estimates, not best, expected, and guaranteed outcomes. Use them to see how the time horizon, contribution size, and rate assumption interact.

When recurring withdrawals exhaust an account, the projection stops at $0 instead of compounding a negative balance. That exhaustion point is a stress-test signal, not a safe-withdrawal recommendation.

Same balance, two meanings

Nominal: future dollars

Real: current purchasing power

Inflation lowers real purchasing power even when the nominal balance rises.

Formula and Excel checks

For a lump sum, FV = PV * (1 + r/m)^(mt), where r is the nominal annual rate, m is the number of compounding periods per year, and t is years.

Recurring payments use the equivalent contribution-period rate and explicit beginning- or end-of-period timing. In Excel, verify the result with FV(rate, nper, pmt, pv, type), reversing cash-flow signs as needed.

Real future value divides nominal future value by (1 + inflation rate)^years. The formula and Excel pages show worked examples and the exact argument mapping.

Lump sum

FV = PV * (1 + r/m)^(mt)

Excel check

=FV(rate, nper, pmt, pv, type)

Purchasing power

Real FV = Nominal FV / (1 + i)^t

Curated result cases

Curated, non-personal examples generated from documented inputs. They show how the tool interprets a scenario; they are not saved visitor results or investment advice.

5 years

Emergency fund growth

A conservative high-yield savings plan for a five-year emergency fund.

Starting
$5,000
Monthly
$200
Rate
3.50% / 4.28% / 5.50%
Middle nominal FV

$19,545

Middle real FV

$16,584

25 years

Retirement contributions

A long-horizon retirement contribution plan using a 7% growth assumption.

Starting
$10,000
Monthly
$500
Rate
5.00% / 7.00% / 9.00%
Middle nominal FV

$462,290

Middle real FV

$249,355

10 years

College savings

A ten-year education savings plan with education-cost inflation included.

Starting
$5,000
Monthly
$250
Rate
4.00% / 5.00% / 6.00%
Middle nominal FV

$47,056

Middle real FV

$28,888

20 years

Withdrawal stress test

A distribution schedule that tests whether growth can sustain withdrawals.

Starting
$250,000
Monthly
-$1,000
Rate
4.50% / 6.00% / 7.50%
Middle nominal FV

$365,510

Middle real FV

$189,466