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Tvm Calculator

Tvm calculator works out Present value and Future value from Solve for, Present value (amount today) and Future value (amount later). The default figures on this page give present value of 7,413.72; change any entry and the result, the working and the sources update together.

Present value
7,413.72
Present & Future Value Calculator
Future value
10,000.00
Annual rate
6.000000 %
Years
5.000000
Compounding periods
60.000000
Rate per period
0.50000000 %
Total paid in as payments
0.00
Interest earned
2,586.28
Discount factor 1/(1+i)^N
0.74137220
Effective annual rate
6.167781 %
Worked out from Researched contract R2719, Lump-Sum Compound-Interest Calculator and 2 other sources.

Your figures

Updates as you type
Formatting only. This does not change the calculation.
The lump sum available or invested today. Ignored when you are solving for it.
The amount received at the end of the term. Ignored when you are solving for it.
The nominal annual interest or discount rate, before compounding. Ignored when you are solving for it.
1 annual, 2 semi-annual, 4 quarterly, 12 monthly, 365 daily. Payments, if any, are made once per compounding period.
The length of the term. Ignored when you are solving for it.
An optional level amount paid in every compounding period. Leave at 0 for a plain single sum.

How this is worked out

5 steps
  1. Rate per period i = 6% / (100 x 12) = 0.005.
  2. Number of periods N = 12 x 5 = 60.
  3. Growth factor (1 + i)^N = 1.3488501525; discount factor 1/(1+i)^N = 0.7413721962.
  4. No level payments, so the single-sum form FV = PV (1 + i)^N applies.
  5. Present value 7413.72 grows to future value 10000; interest = FV - PV - payments = 2586.28.

Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed

Sources and references

3 sources
Researched contract R2719, Lump-Sum Compound-Interest Calculator
FV = P*(1 + r/(100*n))^(n*t); interest = FV - P, with the domain restriction 1 + r/(100*n) > 0 and no intermediate rounding.
Time-value-of-money identity PV(1+i)^N + PMT((1+i)^N - 1)/i - FV = 0
The standard annuity/compound-sum relation underlying the spreadsheet PV, FV, RATE and NPER functions. The single-sum contract above is its PMT = 0 case.
US Securities and Exchange Commission (Investor.gov), Compound Interest Calculator
Regulator-published reference implementation of the same identity.

Keep this result

Save it, change one figure, then compare the two

The calculation stays free. Save this scenario, adjust one assumption, save that too, and put them side by side to see exactly what the change costs you. A free account keeps 5 scenarios and 2 comparisons; Personal makes both unlimited and adds exports and private links. Nothing is saved unless you press Save.

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What the tvm calculator calculates

Solves the time-value-of-money equation for a single sum plus optional level payments, returning present value, future value, the implied rate or the time required under any compounding frequency.

How to use this tvm calculator

Enter Solve for, Present value (amount today), Future value (amount later) and Annual rate. Present value updates as you type. Change one figure at a time to see what drives the result.

How the result is worked out

Open “How this is worked out” beside the result for the step-by-step calculation behind Present value, Future value and Annual rate.

The method follows Researched contract R2719, Lump-Sum Compound-Interest Calculator, Time-value-of-money identity PV(1+i)^N + PMT((1+i)^N - 1)/i - FV = 0 and US Securities and Exchange Commission (Investor.gov), Compound Interest Calculator.

What you can compare

Change one input at a time to see how it affects Present value, Future value and Annual rate. The inputs you can vary are Solve for, Present value (amount today), Future value (amount later), Annual rate, Compounding periods a year and Number of years.

Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.

Embed this calculator on your website

Copy this code into any page. The calculator appears with the figures currently entered, sizes itself to fit, and a small credit line links back here. Free, no account, no ads inside it, no tracking of your readers. Set your own figures and fixed fields; Personal removes the credit line, sets your colour and shows you which sites use it.

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Frequently asked questions

What is a TVM calculator?

Solves the time-value-of-money equation for a single sum plus optional level payments, returning present value, future value, the implied rate or the time required under any compounding frequency. On this page it is computed from Solve for, Present value (amount today) and Future value (amount later) and shown as Present value, Future value and Annual rate.

How to do TVM calculations in Excel?

Solves the time-value-of-money equation for a single sum plus optional level payments, returning present value, future value, the implied rate or the time required under any compounding frequency. Open “How this is worked out” beside the result to see each step for your own figures.

What information do I need for the tvm calculator?

You need Solve for, Present value (amount today), Future value (amount later), Annual rate, Compounding periods a year, Number of years, Payment each period and Payments fall. The page opens with default figures that give present value of 7,413.72, so you can see the scale before entering your own.

What does this tvm calculator show?

It shows Present value, Future value, Annual rate, Years, Compounding periods, Rate per period, Total paid in as payments and Interest earned, with the working and any warnings for your entries.

Can I check how the tvm calculator result was calculated?

Yes. The “How this is worked out” section shows the calculation steps, and the sources section identifies the references used for the method.

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