Free Finance Calculator
Calculate Future Value (FV), Periodic Payment (PMT), Interest Rate (I/Y), Number of Periods (N), or Present Value (PV). A complete time value of money calculator for financial planning.
Results
Schedule
10 periods| Period | PV | PMT | Interest | FV |
|---|---|---|---|---|
| 1 | $20,000.00 | $-2,000.00 | $1,200.00 | $19,200.00 |
| 2 | $19,200.00 | $-2,000.00 | $1,152.00 | $18,352.00 |
| 3 | $18,352.00 | $-2,000.00 | $1,101.12 | $17,453.12 |
| 4 | $17,453.12 | $-2,000.00 | $1,047.19 | $16,500.31 |
| 5 | $16,500.31 | $-2,000.00 | $990.02 | $15,490.33 |
| 6 | $15,490.33 | $-2,000.00 | $929.42 | $14,419.75 |
| 7 | $14,419.75 | $-2,000.00 | $865.18 | $13,284.93 |
| 8 | $13,284.93 | $-2,000.00 | $797.10 | $12,082.03 |
| 9 | $12,082.03 | $-2,000.00 | $724.92 | $10,806.95 |
| 10 | $10,806.95 | $-2,000.00 | $648.42 | $9,455.36 |
What is a Finance Calculator?
A finance calculator is a comprehensive tool for solving time value of money (TVM) problems. It works the same way as professional financial calculators like the BA II Plus or HP 12CP, allowing you to solve for any one of five key financial variables: Future Value (FV), Periodic Payment (PMT), Interest Rate (I/Y), Number of Periods (N), and Present Value (PV).
The time value of money is a fundamental concept in finance that recognizes a dollar today is worth more than a dollar in the future. This principle underpins virtually all financial calculations, from mortgage payments to retirement planning to investment analysis.
How to Use This Finance Calculator
- Select what to solve for: Click one of the five tabs (FV, PMT, I/Y, N, or PV) at the top of the calculator. The selected variable will be calculated based on the other four inputs.
- Enter the known values: Fill in the four remaining input fields. Use negative values for cash outflows (money you pay) and positive values for cash inflows (money you receive).
- Adjust settings (optional): Click "+ Settings" to customize the payment frequency, compounding frequency, and whether payments are made at the beginning or end of each period.
- Review results: The calculator instantly displays the solved value along with total payments and total interest. A detailed period-by-period schedule is shown below.
Understanding the Five Variables
Present Value (PV)
Present Value represents the current worth of a future sum of money or stream of cash flows given a specified rate of return. For example, if you deposit $10,000 in a savings account today, that $10,000 is the present value. In loan calculations, PV represents the loan amount.
Future Value (FV)
Future Value is the value of a current asset at a future date based on an assumed rate of growth. If you invest $10,000 today at 5% annual interest for 10 years, the future value tells you how much that investment will be worth at the end of the 10-year period.
Periodic Payment (PMT)
PMT represents a regular payment made at each period. This could be a monthly mortgage payment, an annual contribution to a retirement account, or any recurring cash flow. Payments going out are typically entered as negative numbers.
Interest Rate (I/Y)
I/Y is the annual interest rate (or rate of return) expressed as a percentage. This rate is used to discount future cash flows back to their present value or to compound present values forward to their future value.
Number of Periods (N)
N represents the total number of payment periods in an annuity. For a 30-year mortgage with monthly payments, N would be 360 (30 years × 12 months). For an investment with annual compounding over 10 years, N would be 10.
Sign Convention: Positive and Negative Values
The finance calculator uses a cash flow sign convention that is standard across professional financial calculators:
- Positive values (+): Represent cash inflows — money you receive.
- Negative values (-): Represent cash outflows — money you pay out.
For example, if you take out a $200,000 mortgage, PV = $200,000 (you receive the money), and PMT will be negative (you pay monthly installments). The FV at the end of the loan term should be $0 if the loan is fully paid off.
Common Use Cases
Loan Calculations
Determine monthly payments for a mortgage, auto loan, or personal loan. Enter the loan amount as PV, the interest rate as I/Y, the loan term as N, set FV to 0, and solve for PMT.
Savings and Investment Growth
Project how much your savings will grow over time. Enter your initial deposit as PV, regular contributions as PMT, the expected return rate as I/Y, the time horizon as N, and solve for FV.
Retirement Planning
Calculate how much you need to save each month to reach your retirement goal. Set your target retirement fund as FV, your current savings as PV, the expected return as I/Y, years until retirement as N, and solve for PMT.
Determining Required Return Rate
Find out what rate of return you need to achieve a financial goal. Enter your current savings as PV, planned contributions as PMT, target amount as FV, time horizon as N, and solve for I/Y.
Frequently Asked Questions
What is the time value of money?
The time value of money (TVM) is the concept that money available today is worth more than the same amount in the future due to its potential earning capacity. This core principle of finance holds that, provided money can earn interest, any amount of money is worth more the sooner it is received.
Why are some results negative?
The calculator uses standard financial sign conventions. Positive values represent money you receive (inflows), and negative values represent money you pay out (outflows). For example, if you solve for PMT on a loan, the result will be negative because payments are cash outflows.
What is the difference between compounding frequency and payment frequency?
Compounding frequency (C/Y) determines how often interest is calculated and added to the balance. Payment frequency (P/Y) determines how often payments are made. These can differ — for example, a mortgage might compound semi-annually but require monthly payments.
Does it matter if payments are at the beginning or end of each period?
Yes, it makes a significant difference. Payments at the beginning of each period (annuity due) earn one extra period of interest compared to payments at the end (ordinary annuity). This results in a higher future value for the same payment amount.
Is this finance calculator free?
Yes, this finance calculator is completely free to use. All calculations are performed in your browser — no data is stored or shared. Use it as many times as you need for financial planning, homework, or professional analysis.
From Financial Calculations to Automated Trading
Understanding the time value of money is the foundation of smart investing. Take the next step — use Pineify to build automated TradingView strategies that put your financial insights into action, no coding required.