» Time Value of Money Calculator: Present Value, Future Value, and Annuity


Time Value of Money Calculator: calculate present value, future value, payment, interest rate, and number of payments for annuities and single cash flows.

Use this time value of money calculator to calculate present value, future value, payment amount, interest rate, or the number of payments for a lump sum or annuity. It is designed for users searching for a present value calculator, future value calculator, annuity calculator, or a practical TVM calculator that handles more than one formula in one place.

The tool supports ordinary annuity, annuity due, single payment, and growing cash flow cases. You can work with PV, FV, C, r, t, payment frequency, and compounding frequency without switching between separate calculators. This makes it useful for savings planning, retirement modeling, loan-style payment logic, valuation homework, and quick finance checks.

In practice, this calculator helps answer questions like: what is the future value of regular deposits, what payment corresponds to a target present value, what rate of return is implied by a cash-flow setup, or how many payments are required to reach a chosen value. If you need investment appraisal rather than pure TVM math, see also NPV, IRR, and loan calculations.

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

Time Value of Money Calculator 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.

Example

Suppose you deposit 1000 each year for 5 years at 6%. In FV mode, the calculator returns the accumulated value of those payments. In PV mode, it shows what that same payment stream is worth today.

You can also reverse the problem. For example, if you know PV and want to solve for Payment, or know FV and want to solve for the implied rate or number of payments, the same calculator handles that directly.


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