Finance Calculator
Time Value of Money (TVM) solver
Enter any 4 values and press the Solve button next to the empty field to calculate the missing value.
TVM Solved Result
| Solved Value | — |
|---|---|
| Explanation | — |
How to Use This Finance Calculator
Every loan payment, lease quote, and retirement contribution problem boils down to five letters: N, I/Y, PV, PMT, FV. The hard part is remembering which four you know and which one you're solving for—especially when someone mixes up sign conventions. This TVM solver is the pocket financial calculator I wish every analyst kept bookmarked.
- Enter four of the five TVM variables. Fill in N (periods), I/Y (% per year), PV, PMT, and FV—leave the unknown blank.
- Watch cash-flow signs. Deposits and payments you make are negative; money you receive (loan proceeds, withdrawals) is positive.
- Click Solve next to the missing variable. Use Solve N, Solve I/Y, Solve PV, Solve PMT, or Solve FV depending on what you need.
- Set compounding and payment timing. Match the product—monthly compounding with end-of-period payments is standard for most installment loans.
- Read the solved result and explanation. The output panel shows the computed value and a plain-language summary of the scenario.
Need a dedicated present-value or future-value workflow? Try the Present Value Calculator or Future Value Calculator.
Finance Calculator Formulas and Practical Applications
Time value of money says a dollar today beats a dollar tomorrow because today's dollar can earn interest. TVM equations link present balance, periodic cash flows, rate, and time into one solvable system—the same math behind mortgages, bonds, annuities, and DCF models.
The five TVM variables
- N — total compounding periods (e.g., 360 months on a 30-year mortgage)
- I/Y — nominal annual interest rate in percent
- PV — present value (loan amount received or starting investment)
- PMT — equal payment each period
- FV — future balance after N periods (often 0 for fully amortizing loans)
Core balance equation
FV = PV(1 + i)N + PMT × [((1 + i)N − 1) / i]
Where i is the per-period rate (annual I/Y ÷ 100 ÷ compounding periods per year). On a $250,000 loan at 6% with 360 monthly payments of about −$1,499, FV reaches 0 when the loan is fully paid—classic amortization.
Frequently Asked Questions
How do I solve for an unknown TVM variable?
Enter any four of N, I/Y, PV, PMT, and FV, leave the fifth blank, then click the Solve button next to the variable you want.
What sign convention does this TVM calculator use?
Cash flowing out (deposits, loan payments you make) is negative. Cash flowing in (loan proceeds, withdrawals you receive) is positive. Mixing signs incorrectly will flip your result.
How does compounding frequency affect N and I/Y?
N counts compounding periods, not necessarily calendar years. With monthly compounding, a 5-year loan uses N = 60. The annual I/Y rate is converted to a per-period rate internally.
What is the difference between end and beginning payment timing?
End of period is ordinary annuity timing (typical for loans). Beginning of period is annuity due timing (common for leases or rent paid upfront).
When should I use the Finance Calculator vs a specialized tool?
Use this TVM solver when you need to solve for any one of the five core variables. Use specialized calculators for amortization schedules, inflation, or fee-heavy products.