Future ValueCALCULATOR
Calculation methodology
Understand unpaid loan growth

Loan Future Value Calculator

Estimate an unpaid loan balance or add regular end-of-month repayments. The model caps the final payment at the amount owed and reports payoff without allowing a negative debt balance.

Your assumptions

Editable example
Formatting only. Values are not converted.
How the calculation works
Example result

Remaining loan balance

$16,470.09

Based on your inputs · a scenario, not a promise

Starting amount$10,000.00
Total deposits$0.00
Gross growth$6,470.09
Balance over time0.0 years5.0 years10.0 years16,470
Calculated balanceStarting balance
View methodology

Show calculation & assumptions

Closing balance = opening + deposits + gross growth − fees − withdrawals, applied in the stated timing order.

  • Hypothetical constant-rate calculation; no guaranteed return.
  • Currency changes formatting only. No conversion is performed.
  • No depletion or payoff within the chosen horizon.
  • Nominal rate 5% compounded 12 times/year. Payment frequency: 12/year. End timing. Payments occur only for complete payment periods; a final partial period earns fractional-exponent growth without an extra payment.
  • Deposit/spending increases take effect after each completed year. Balance fees, where entered, are deducted after growth using (1 − annual fee)^(period length). Taxes excluded.
View the calculation breakdown

Full-precision calculations; displayed values are rounded. Year values may include fractions.

Calculation breakdown
YearOpeningDepositsGrowthFeesWithdrawalsClosing
0.083310,000041.66670010,041.6667
0.166710,041.6667041.84030010,083.5069
0.2510,083.5069042.01460010,125.5216
0.333310,125.5216042.18970010,167.7112
0.416710,167.7112042.36550010,210.0767
0.510,210.0767042.5420010,252.6187
0.583310,252.6187042.71920010,295.3379
0.666710,295.3379042.89720010,338.2352
0.7510,338.2352043.0760010,381.3111
0.833310,381.3111043.25550010,424.5666
0.916710,424.5666043.43570010,468.0023
110,468.0023043.61670010,511.619
1.083310,511.619043.79840010,555.4174
1.166710,555.4174043.98090010,599.3983
1.2510,599.3983044.16420010,643.5625
1.333310,643.5625044.34820010,687.9106
1.416710,687.9106044.5330010,732.4436
1.510,732.4436044.71850010,777.1621
1.583310,777.1621044.90480010,822.067
1.666710,822.067045.09190010,867.1589
1.7510,867.1589045.27980010,912.4387
1.833310,912.4387045.46850010,957.9072
1.916710,957.9072045.65790011,003.5652
211,003.5652045.84820011,049.4134
2.083311,049.4134046.03920011,095.4526
2.166711,095.4526046.23110011,141.6836
2.2511,141.6836046.42370011,188.1073
2.333311,188.1073046.61710011,234.7244
2.416711,234.7244046.81140011,281.5358
2.511,281.5358047.00640011,328.5422
2.583311,328.5422047.20230011,375.7444
2.666711,375.7444047.39890011,423.1434
2.7511,423.1434047.59640011,470.7398
2.833311,470.7398047.79470011,518.5346
2.916711,518.5346047.99390011,566.5284
311,566.5284048.19390011,614.7223
3.083311,614.7223048.39470011,663.117
3.166711,663.117048.59630011,711.7133
3.2511,711.7133048.79880011,760.5121
3.333311,760.5121049.00210011,809.5142
3.416711,809.5142049.20630011,858.7206
3.511,858.7206049.41130011,908.1319
3.583311,908.1319049.61720011,957.7491
3.666711,957.7491049.8240012,007.5731
3.7512,007.5731050.03160012,057.6046
3.833312,057.6046050.240012,107.8446
3.916712,107.8446050.44940012,158.294
412,158.294050.65960012,208.9536
4.083312,208.9536050.87060012,259.8242
4.166712,259.8242051.08260012,310.9068
4.2512,310.9068051.29540012,362.2022
4.333312,362.2022051.50920012,413.7114
4.416712,413.7114051.72380012,465.4352
4.512,465.4352051.93930012,517.3745
4.583312,517.3745052.15570012,569.5302
4.666712,569.5302052.3730012,621.9033
4.7512,621.9033052.59130012,674.4946
4.833312,674.4946052.81040012,727.305
4.916712,727.305053.03040012,780.3354
512,780.3354053.25140012,833.5868
5.083312,833.5868053.47330012,887.0601
5.166712,887.0601053.69610012,940.7561
5.2512,940.7561053.91980012,994.676
5.333312,994.676054.14450013,048.8204
5.416713,048.8204054.37010013,103.1905
5.513,103.1905054.59660013,157.7872
5.583313,157.7872054.82410013,212.6113
5.666713,212.6113055.05250013,267.6638
5.7513,267.6638055.28190013,322.9458
5.833313,322.9458055.51230013,378.458
5.916713,378.458055.74360013,434.2016
613,434.2016055.97580013,490.1774
6.083313,490.1774056.20910013,546.3865
6.166713,546.3865056.44330013,602.8298
6.2513,602.8298056.67850013,659.5082
6.333313,659.5082056.91460013,716.4229
6.416713,716.4229057.15180013,773.5746
6.513,773.5746057.38990013,830.9645
6.583313,830.9645057.6290013,888.5935
6.666713,888.5935057.86910013,946.4627
6.7513,946.4627058.11030014,004.5729
6.833314,004.5729058.35240014,062.9253
6.916714,062.9253058.59550014,121.5209
714,121.5209058.83970014,180.3605
7.083314,180.3605059.08480014,239.4454
7.166714,239.4454059.3310014,298.7764
7.2514,298.7764059.57820014,358.3546
7.333314,358.3546059.82650014,418.1811
7.416714,418.1811060.07580014,478.2568
7.514,478.2568060.32610014,538.5829
7.583314,538.5829060.57740014,599.1603
7.666714,599.1603060.82980014,659.9902
7.7514,659.9902061.08330014,721.0735
7.833314,721.0735061.33780014,782.4113
7.916714,782.4113061.59340014,844.0047
814,844.0047061.850014,905.8547
8.083314,905.8547062.10770014,967.9624
8.166714,967.9624062.36650015,030.3289
8.2515,030.3289062.62640015,092.9553
8.333315,092.9553062.88730015,155.8426
8.416715,155.8426063.14930015,218.9919
8.515,218.9919063.41250015,282.4044
8.583315,282.4044063.67670015,346.0811
8.666715,346.0811063.9420015,410.0231
8.7515,410.0231064.20840015,474.2315
8.833315,474.2315064.4760015,538.7075
8.916715,538.7075064.74460015,603.4521
915,603.4521065.01440015,668.4665
9.083315,668.4665065.28530015,733.7518
9.166715,733.7518065.55730015,799.3091
9.2515,799.3091065.83050015,865.1395
9.333315,865.1395066.10470015,931.2443
9.416715,931.2443066.38020015,997.6245
9.515,997.6245066.65680016,064.2812
9.583316,064.2812066.93450016,131.2157
9.666716,131.2157067.21340016,198.4291
9.7516,198.4291067.49350016,265.9226
9.833316,265.9226067.77470016,333.6973
9.916716,333.6973068.05710016,401.7543
1016,401.7543068.34060016,470.095
Calculated in your browser No signup required Transparent formulas

Unpaid interest increases the balance

With no repayment, the balance accumulates according to the lump-sum future value formula. A $1,000 debt at 5% annual compounding becomes $1,050 after one year in this simplified model. The added amount is an increased obligation, not investment interest earned for the borrower.

Repayments reduce what can grow next

Optional repayments occur at month end after interest is added. They reduce the outstanding balance for later periods. The final payment is capped at the amount owed, and the model reports payoff rather than generating a negative debt. Unused repayments after payoff are not treated as an investment balance.

Compare with actual loan terms

The tool does not infer a lender’s daily accrual convention, amortization contract, minimum payment, origination charge, late fee or prepayment penalty. Fixed assumptions may not match a variable-rate loan. A balance that grows despite repayments means the entered payment pattern is not covering enough modeled interest and principal.

Questions about this calculation

How can I check the inputs behind the result?

Open “Show calculation & assumptions” for the formula and timing conventions, then inspect the breakdown. Export CSV to keep the last calculated inputs and numerical results together.

Does this include taxes or changing market returns?

No tax calculation or variable market-return path is included. The task-specific assumptions above describe the scope. Calculated values are conditional on the inputs, not personalized recommendations.

Learn more

Choose your next readContinue from the question you haveThe route changes the guide link, not your calculator inputs.

Start with the step-by-step future value formula guide.

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How to calculate future value · Spreadsheet calculations · All learning guides

Calculation methodology and numerical conventions

Use these figures to explore assumptions. Actual interest, returns, fees, taxes and purchasing power can differ.