» Time Value of Money Calculator


Calculate present value, future value, payments, interest rate, or number of periods with this flexible time value of money calculator.

Use this time value of money calculator to solve common finance problems involving present value, future value, payments, interest rate, and number of periods. It supports single lump-sum calculations, ordinary annuities, annuities due, and growing annuities, making it useful for savings, loans, investments, retirement planning, and cash-flow analysis.

This page is the flexible advanced TVM calculator in the current calculator cluster. If you only need a narrow use case such as one lump-sum present value or future value, the simpler focused calculators may be faster. If you need multiple modes, annuities, payment solving, rate solving, or term solving, this page is the better fit.

Time-value formulas

$$PV=C \times \left[\frac{1-(1+\frac{r}{n})^{-t}}{\frac{r}{n}}\right]\times(1+\frac{r}{n})$$

Initial Data


Calculator mode


Cash-flow type


Annual growth rate (g)
%


Payment frequency (n)

%
Compounding frequency (m)

Result

Present value (PV) 4465.1100
Payment (C) 1000.0000
Annual interest rate (r) 6.0000%
Number of payments (t) 5.0000
Payment frequency (n) Annually
Compounding frequency (m) Annually
Years equivalent 5.0000
Total payment periods 5.0000

FAQ

What is the time value of money?
The time value of money means that money available today is worth more than the same amount received later because it can earn a return over time. That is why finance calculations discount future cash flows back to PV or compound them forward to FV.

What can this time value of money calculator solve for?
This calculator can solve for PV, FV, Payment, Interest rate, or Number of payments. It also supports ordinary annuity, annuity due, single payment, and growing annuity cases.

How do I use this calculator?
Choose the calculator mode PV or FV, then select the cash-flow type, and finally choose which variable to solve. Enter the remaining inputs and the calculator updates the missing value automatically. For annuities, you can also set separate payment frequency and compounding frequency.

What is the difference between present value and future value?
Present value tells you what future cash flows are worth today at a chosen interest rate. Future value tells you how much a current amount or a stream of payments will grow to over time.

What is the difference between ordinary annuity and annuity due?
An ordinary annuity assumes each payment happens at the end of the period. An annuity due assumes each payment happens at the start of the period. Because payments in an annuity due start earlier, the present value and future value are typically higher than for an otherwise identical ordinary annuity.

What is a growing annuity?
A growing annuity is a series of payments that increase over time by a growth rate g. This is useful for modeling deposits, withdrawals, rent, or income streams that rise periodically rather than staying flat.

Why separate payment frequency and compounding frequency?
In real financial products, payments do not always occur at the same interval as interest compounding. For example, you might make monthly payments while interest compounds quarterly. Keeping these inputs separate makes the calculator more flexible and closer to practical finance use.

When should I use this calculator instead of NPV or IRR?
Use this tool when you want to solve pure time-value relationships such as PV, FV, payment, rate, or term. Use NPV or IRR when you need to evaluate a full investment decision with discounting, return thresholds, or uneven project cash flows.

Can this be used as an annuity calculator?
Yes. In practice, this page works as a present value annuity calculator, future value annuity calculator, and annuity payment calculator in one tool, while also supporting rate and term solving.

What is a reasonable interest rate input?
That depends on the use case. For savings, use the expected return or account yield. For borrowing, use the financing rate. For valuation or investment comparison, you may want a discount rate linked to WACC, CAPM, or another required return assumption.


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