Time Value of Money (TVM) Calculator
Solve for Future Value (FV), Present Value (PV), Payments (PMT), and Periods (N) with compounding schedules.
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What Would You Like to Solve For?
TVM Parameters
Solved FV (Future Value)
$39,917.43
Based on 7.5% annual interest
Total Payments Made
$21,000
Sum of regular $350 deposits
Total Interest Accrued
$8,917.43
Cumulative compound interest
End Balance (FV)
$39,917.43
Principal + Contributions + Interest
Compounding Growth Schedule
Inspect how principal deposits and compound interest compound over each period.
| Period | Starting Balance | Deposit (PMT) | Interest Earned | Ending Balance |
|---|---|---|---|---|
| #1 | $10,000 | $350 | +$62.5 | $10,412.5 |
| #2 | $10,412.5 | $350 | +$65.08 | $10,827.58 |
| #3 | $10,827.58 | $350 | +$67.67 | $11,245.25 |
| #4 | $11,245.25 | $350 | +$70.28 | $11,665.53 |
| #5 | $11,665.53 | $350 | +$72.91 | $12,088.44 |
| #6 | $12,088.44 | $350 | +$75.55 | $12,513.99 |
| #7 | $12,513.99 | $350 | +$78.21 | $12,942.2 |
| #8 | $12,942.2 | $350 | +$80.89 | $13,373.09 |
| #9 | $13,373.09 | $350 | +$83.58 | $13,806.67 |
| #10 | $13,806.67 | $350 | +$86.29 | $14,242.96 |
| #11 | $14,242.96 | $350 | +$89.02 | $14,681.98 |
| #12 | $14,681.98 | $350 | +$91.76 | $15,123.74 |
| #13 | $15,123.74 | $350 | +$94.52 | $15,568.26 |
| #14 | $15,568.26 | $350 | +$97.3 | $16,015.56 |
| #15 | $16,015.56 | $350 | +$100.1 | $16,465.66 |
| #16 | $16,465.66 | $350 | +$102.91 | $16,918.57 |
| #17 | $16,918.57 | $350 | +$105.74 | $17,374.31 |
| #18 | $17,374.31 | $350 | +$108.59 | $17,832.9 |
| #19 | $17,832.9 | $350 | +$111.46 | $18,294.36 |
| #20 | $18,294.36 | $350 | +$114.34 | $18,758.7 |
| #21 | $18,758.7 | $350 | +$117.24 | $19,225.94 |
| #22 | $19,225.94 | $350 | +$120.16 | $19,696.1 |
| #23 | $19,696.1 | $350 | +$123.1 | $20,169.2 |
| #24 | $20,169.2 | $350 | +$126.06 | $20,645.26 |
| #25 | $20,645.26 | $350 | +$129.03 | $21,124.29 |
| #26 | $21,124.29 | $350 | +$132.03 | $21,606.32 |
| #27 | $21,606.32 | $350 | +$135.04 | $22,091.36 |
| #28 | $22,091.36 | $350 | +$138.07 | $22,579.43 |
| #29 | $22,579.43 | $350 | +$141.12 | $23,070.55 |
| #30 | $23,070.55 | $350 | +$144.19 | $23,564.74 |
| #31 | $23,564.74 | $350 | +$147.28 | $24,062.02 |
| #32 | $24,062.02 | $350 | +$150.39 | $24,562.41 |
| #33 | $24,562.41 | $350 | +$153.52 | $25,065.93 |
| #34 | $25,065.93 | $350 | +$156.66 | $25,572.59 |
| #35 | $25,572.59 | $350 | +$159.83 | $26,082.42 |
| #36 | $26,082.42 | $350 | +$163.02 | $26,595.44 |
| #37 | $26,595.44 | $350 | +$166.22 | $27,111.66 |
| #38 | $27,111.66 | $350 | +$169.45 | $27,631.11 |
| #39 | $27,631.11 | $350 | +$172.69 | $28,153.8 |
| #40 | $28,153.8 | $350 | +$175.96 | $28,679.76 |
| #41 | $28,679.76 | $350 | +$179.25 | $29,209.01 |
| #42 | $29,209.01 | $350 | +$182.56 | $29,741.57 |
| #43 | $29,741.57 | $350 | +$185.88 | $30,277.45 |
| #44 | $30,277.45 | $350 | +$189.23 | $30,816.68 |
| #45 | $30,816.68 | $350 | +$192.6 | $31,359.28 |
| #46 | $31,359.28 | $350 | +$196 | $31,905.28 |
| #47 | $31,905.28 | $350 | +$199.41 | $32,454.69 |
| #48 | $32,454.69 | $350 | +$202.84 | $33,007.53 |
| #49 | $33,007.53 | $350 | +$206.3 | $33,563.83 |
| #50 | $33,563.83 | $350 | +$209.77 | $34,123.6 |
| #51 | $34,123.6 | $350 | +$213.27 | $34,686.87 |
| #52 | $34,686.87 | $350 | +$216.79 | $35,253.66 |
| #53 | $35,253.66 | $350 | +$220.34 | $35,824 |
| #54 | $35,824 | $350 | +$223.9 | $36,397.9 |
| #55 | $36,397.9 | $350 | +$227.49 | $36,975.39 |
| #56 | $36,975.39 | $350 | +$231.1 | $37,556.49 |
| #57 | $37,556.49 | $350 | +$234.73 | $38,141.22 |
| #58 | $38,141.22 | $350 | +$238.38 | $38,729.6 |
| #59 | $38,729.6 | $350 | +$242.06 | $39,321.66 |
| #60 | $39,321.66 | $350 | +$245.76 | $39,917.42 |
The Time Value of Money (TVM) is the foundational concept in modern finance, stating that a sum of money today is worth more than the same amount in the future due to its potential earning capacity. Whether you are modeling retirement growth, calculating required periodic savings deposits, discounting future cash flows back to today's dollars, or determining how long it will take to reach a financial milestone, this comprehensive TVM calculator solves for any variable: Future Value (FV), Present Value (PV), Periodic Payment (PMT), or Number of Periods (N). It supports multiple compounding frequencies (annually, semi-annually, quarterly, monthly, daily) and handles both ordinary annuities (payments made at the end of each period) and annuities due (payments made at the beginning of each period) with interactive amortization schedules and CSV downloads.
How to use Time Value of Money (TVM) Calculator
- Select the variable you want to solve for: Future Value (FV), Present Value (PV), Payment (PMT), or Number of Periods (N).
- Enter the known financial variables including starting balance, regular deposits, interest rate, and compounding frequency.
- Toggle between End-of-period (Ordinary Annuity) and Beginning-of-period (Annuity Due) payment timing.
- Examine the computed solution, total principal paid, and total compound interest accrued.
- Review the interactive multi-period balance schedule or download the full amortization table as a CSV.
What you get
- Exact solved financial variable (FV, PV, PMT, or N) with high-precision compound math.
- Total principal contributions made across all compounding intervals.
- Cumulative compound interest generated over the complete investment horizon.
- Period-by-period balance schedule showing opening balance, payments, interest earned, and closing balance.
When to use Time Value of Money (TVM) Calculator
- Retirement & Wealth Modeling — Determine future nest egg size given a starting lump sum and regular monthly savings contributions.
- Capital Budgeting & NPV — Discount future contractual cash flows back to present value using a customized cost of capital.
- Loan & Annuity Sinking Funds — Compute the exact periodic payment required to accumulate a predetermined future liability.
- Investment Horizon Planning — Calculate the exact number of months or years needed to achieve financial goals at target return rates.
Frequently asked questions about Time Value of Money (TVM) Calculator
What is the difference between an Ordinary Annuity and an Annuity Due?
In an ordinary annuity, cash payments occur at the end of each payment period (standard for mortgage payments and bond coupons). In an annuity due, payments are made at the beginning of each period (standard for lease rents and life insurance premiums). Annuity due payments earn one extra period of compounding interest.
Why does compounding frequency matter in TVM calculations?
More frequent compounding (e.g., monthly or daily versus annual) causes earned interest to be added to principal sooner, which generates even more interest on interest over time. This elevates the Effective Annual Rate (EAR) above the nominal stated APR.
Can this calculator handle zero payments or lump sums only?
Yes. If you set Periodic Payment (PMT) to 0, the tool operates as a pure compound interest lump-sum calculator, computing direct FV or PV growth over time.
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