Free Financial Calculator Online

TVM Calculator (Time Value of Money Solver)

Free TVM solver. Enter any four of PV, FV, payment, interest rate, and periods to solve for the fifth, with end or beginning-of-period payments.

Negative for money you pay out, such as a deposit.

Negative for payments or deposits you make.

%
Future value (FV)
$2,886.68

Positive results are money you receive; negative results are money you pay.

How it's calculated

All five variables are tied together by one equation, where i is the rate per period:

PV × (1 + i)N + PMT × (1 + i × type) × [((1 + i)N − 1) ÷ i] + FV = 0

type is 0 for end-of-period payments and 1 for beginning-of-period payments. The periodic rate is the annual rate divided by periods per year. For example, depositing $1,000 today plus $100 at the end of each year for 10 years at 5% gives an FV of $2,886.68.

Before using our Time Value Money calculator, it might help to know what it is and why it’s important. If you’re already familiar with the concept of TVM, the calculator is at the top of the page. Also, before using our calculator, please note that the calculator treats all payments as happening at the end of the period (like an ordinary annuity), which may not be suitable for all scenarios. Always double-check your results and consult with a financial advisor if needed.

The Time Value of Money (TVM) is a foundational financial principle which postulates that the value of money changes over time. In other words, a dollar today is worth more than a dollar in the future. This concept arises because money has the potential to earn interest or investment income, meaning that money available now could be invested and grow over time. Therefore, receiving money today is preferable to receiving the same amount in the future. I’ll glance over some history of the tool but feel free to jump to the calculator.

TVM is used widely in financial analysis and decision-making. It’s key in the evaluation of investment opportunities, capital budgeting decisions, retirement planning, and many more areas of finance. By considering the time value of money, individuals and businesses can better assess the true value and cost of financial decisions. For example, it can help investors understand the future value of their investments given a particular rate of return, or help businesses determine the present value of cash flows from a project to decide whether it’s worth pursuing.

How To Use Our TVM Calculator

Input Your Data

Fill in the following fields as appropriate for your situation: Present Value (PV) - the current worth of the sum; Future Value (FV) - the projected value of the sum at a future date; Interest Rate - the annual interest rate in percentage (don’t include the ‘%’ sign); Number of Periods (n) - the number of time periods the money is invested for; and Payment (PMT) - the regular payment per period (useful for calculations involving annuities).

Press “Calculate”

After filling in the fields with your data, click the “Calculate” button to perform the calculation. Remember that the calculator treats all payments as happening at the end of the period (like an ordinary annuity), which may not be suitable for all scenarios.

Review Your Results

Upon clicking “Calculate”, an alert box will appear on your screen displaying the Time Value of Money (TVM) based on your inputs. This result represents the value of your cash flow series based on the provided interest rate and time frame. You may wish to adjust your input values and recalculate to observe different scenarios.

Frequently Asked Questions

›What is the time value of money?

It is the idea that a dollar today is worth more than a dollar in the future because today’s dollar can be invested to earn interest. TVM math converts money between different points in time.

›Why are some values negative?

Like a financial calculator or Excel, the solver uses signs to show direction: money you pay out (a deposit or loan payment) is negative and money you receive (a loan or a withdrawal) is positive. A savings problem usually has a negative PV and PMT and a positive FV.

›What is the difference between end and beginning of period?

End of period is an ordinary annuity, like most loan payments. Beginning of period is an annuity due, like rent, where each payment earns one extra period of interest.

›How is the interest rate solved?

There is no closed-form formula for the rate, so the calculator finds it numerically with Newton’s method, falling back to bisection. Results match Excel’s RATE function.

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