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%
$19,545
$16,584
Dated assumptions · transparent formulas
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.
| Assumption | Rate | Nominal FV | Real FV |
|---|---|---|---|
| Lower estimate1-year Treasury constant maturity | 4.28% | $30,274.62 | $21,796.87 |
| Middle estimateS&P 500 rolling 30-year total-return median | 10.80% | $50,754.75 | $36,541.98 |
| Higher estimateS&P 500 rolling 30-year total-return 75th percentile | 12.04% | $56,192.81 | $40,457.23 |
The same projection engine draws each estimate and feeds the collapsible year-by-year detail.
| Year | Opening | Deposits | Interest | Ending |
|---|---|---|---|---|
| 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 |
Lower / Middle / Higher estimates · reviewed 2026-09-12
4.28%
Retrieved 2026-09-12 · observation 2026-09-10
Dated benchmark snapshot.
10.80%
Retrieved 2026-09-12
Median of 69 overlapping 30-year S&P 500 total-return windows through 2025.
12.04%
Retrieved 2026-09-12
75th percentile of 69 overlapping 30-year S&P 500 total-return windows through 2025.
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.
Enter
Balance, cash flow, horizon
Convert
Periodic rate and timing
Project
Three estimate columns
Interpret
Nominal and real value
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.
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.
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, non-personal examples generated from documented inputs. They show how the tool interprets a scenario; they are not saved visitor results or investment advice.
A conservative high-yield savings plan for a five-year emergency fund.
$19,545
$16,584
A long-horizon retirement contribution plan using a 7% growth assumption.
$462,290
$249,355
A ten-year education savings plan with education-cost inflation included.
$47,056
$28,888
A distribution schedule that tests whether growth can sustain withdrawals.
$365,510
$189,466