Financial Calculator
Any country Currency-neutral arithmetic. Enter figures in your own currency; no country tax rules are applied.
Online financial calculator like a BA II Plus: solve for N, I/Y, PV, PMT or FV with P/Y, C/Y and BGN/END, with the matching Excel formula.
Educational estimate only. Not a lending decision. Your numbers stay in this browser.
Results
How to read this: the verdict describes how much room your numbers leave, not a decision or an offer. Change any input to see how much the result moves.
Investing and retirement guides
These guides explain compounding, contribution projections, retirement targets, inflation, and real returns.
- Compound interest explained
- Investment return with contributions
- Retirement savings target
- Inflation and real returns
For all guide topics, open Guides. For source and estimate boundaries, read Calculation Methodology and Sources and Assumptions.
Assumptions and formula
The calculator solves the time value of money equation PV(1 + i)ⁿ + PMT(1 + i·k)((1 + i)ⁿ − 1)/i + FV = 0 for the value you choose, where n is the number of periods, k is 1 for payments at the beginning of each period and 0 at the end, and i is the rate per payment period: (1 + I/Y ÷ C/Y)^(C/Y ÷ P/Y) − 1. PV, PMT, FV and N have exact solutions; the interest rate is found numerically.
This is the convention of the TI BA II Plus and of Excel’s FV, PV, PMT, NPER and RATE functions, so the answer matches both; the result shows the spreadsheet formula. Before solving, the calculator checks the signs: if every amount points the same way, no rate or number of periods can balance them, and it says which sign to change instead of returning an error code.
Worked example
A $300,000 mortgage at 6% for 30 years: N = 360, I/Y = 6, PV = 300,000, FV = 0, P/Y = C/Y = 12, solve for PMT = −1,798.65, the same as =PMT(0.005, 360, 300000, 0, 0). $100 a month for 10 years at 7% grows to about $17,308 paid at the end of each month and $17,409 paid at the beginning.
Frequently asked questions
How do I find a loan payment on a financial calculator?
Enter N = 360, I/Y = 6, PV = 300,000 and FV = 0 with 12 payments a year, and solve for PMT: −1,798.65 a month, the same as =PMT(0.005, 360, 300000, 0, 0).
How do I calculate a loan payment with a financial calculator?
Set N to the number of payments, I/Y to the annual rate, PV to the loan amount as a positive number and FV to 0, then solve for PMT. A $300,000 mortgage at 6% for 30 years (N = 360, P/Y = 12) gives PMT = −1,798.65: negative because it is money you pay out. In Excel the same is =PMT(0.005, 360, 300000, 0, 0).
Why do I get an error when solving for the interest rate?
Usually because the cash flows all have the same sign. To find a rate there must be money going out and money coming in: a loan you receive (positive PV) and payments you make (negative PMT), or a deposit you make (negative PV) and a balance you take out (positive FV). On a BA II Plus this shows as Error 5; this calculator says which signs to change.
What are P/Y and C/Y?
P/Y is payments per year and C/Y is compounding periods per year. Most US loans use 12 and 12. Canadian fixed-rate mortgages compound twice a year, so they use P/Y = 12 and C/Y = 2, which makes the monthly rate (1 + I/Y ÷ 2)^(2/12) − 1 rather than I/Y ÷ 12.
What is the difference between BGN and END?
END means payments at the end of each period, as for loans and most savings plans. BGN means payments at the start, as for rent or a lease, so each payment earns one more period of interest. $100 a month for 10 years at 7% grows to about $17,308 paid at the end and about $17,409 paid at the beginning.
Is this an online BA II Plus calculator?
It follows the same time value of money conventions as the Texas Instruments BA II Plus financial calculator — N, I/Y, PV, PMT, FV, P/Y, C/Y and BGN/END — so it works as a TVM calculator, a present value calculator or a future value calculator for the same problems. It is not affiliated with Texas Instruments. It is a time value of money calculator and finance calculator that works like a BA II Plus calculator online.
Is this a TVM solver?
Yes. Enter any four of present value, future value, payment, rate and periods and it solves for the fifth, like the TVM solver on a financial calculator.