Finance

Finance Calculator

Time value of money solver. Enter any four of PV, FV, PMT, rate, or periods — solve for the fifth. Works for loans, investments, and savings.

Quick Answer

If you invest $10,000 today and add $200/month at 8% annual return for 10 years, you'll have roughly $58,900. This calculator solves for any variable in the time value of money equation.

TVM Solver

$

Negative = money invested/loaned out

$

Negative = money paid out monthly

%
Future Value
$58,785.61
Disclaimer: This calculator provides estimates for informational purposes only and should not be considered financial advice. Consult a qualified financial advisor for personalized guidance.

About This Tool

The Finance Calculator is a general-purpose time value of money (TVM) solver. It works like the TVM function on financial calculators such as the HP 12C or TI BA II Plus. Enter any four of the five TVM variables — Present Value, Future Value, Payment, Rate, and Number of Periods — and solve for the unknown fifth variable.

Understanding the Five TVM Variables

Present Value (PV) is what money is worth right now — a lump sum you have today or a loan balance. Future Value (FV) is what money will be worth at the end of the time period. Payment (PMT) is a recurring cash flow that happens each period. Rate is the annual interest or growth rate. Number of periods (N) is the total number of monthly compounding periods. Together, these five variables describe virtually any financial scenario involving regular cash flows and compound interest.

Sign Conventions Matter

TVM calculators use cash flow sign conventions. Money you pay out (investments, loan payments) is negative. Money you receive (loan proceeds, investment returns) is positive. Getting the signs wrong is the most common mistake. For a loan: PV is positive (you receive money), PMT is negative (you pay it back). For investing: PV and PMT are negative (money out), FV is positive (money back at the end).

Common Use Cases

This calculator handles dozens of financial questions. How much will I have if I invest $500/month for 20 years? (Solve for FV.) What monthly payment do I need to pay off a $30,000 loan in 5 years at 8%? (Solve for PMT.) What rate of return did my investment earn if I put in $50,000 and it's now worth $120,000 after 10 years? (Solve for Rate.) How long until I reach my savings goal? (Solve for N.)

Limitations

This calculator assumes monthly compounding and end-of-period payments (ordinary annuity). It does not handle irregular cash flows, varying interest rates, or beginning-of-period payments (annuity due) without manual adjustment. For complex scenarios with multiple cash flows at different times, a more advanced NPV or IRR calculator is needed. Still, for the vast majority of personal finance questions, this TVM solver gives accurate, reliable answers.

Frequently Asked Questions

What is the time value of money (TVM)?
TVM is the financial principle that money available now is worth more than the same amount in the future because of its potential to earn returns. A dollar today can be invested to become more than a dollar tomorrow. This concept underlies all of finance — from loan pricing to investment valuation to retirement planning.
What do PV, FV, PMT, Rate, and N mean?
PV (Present Value) is the current value of money or a loan balance today. FV (Future Value) is what money will be worth at a future date. PMT (Payment) is the periodic payment amount. Rate is the annual interest rate. N (NPER) is the number of monthly periods. In loan contexts, PV is the loan amount, PMT is the monthly payment, and FV is zero (fully paid off).
How do I use this to calculate a loan payment?
Set 'Solve For' to Payment. Enter the loan amount as Present Value (positive number), 0 for Future Value, your annual interest rate, and the number of months. The result will be a negative number representing your monthly payment (money flowing out). For example: PV = 200000, FV = 0, Rate = 7, N = 360 gives PMT = -$1,330.60.
Why are some results negative?
TVM uses sign conventions: positive numbers represent money coming in (inflows), negative numbers represent money going out (outflows). A loan amount (PV) is positive because you receive money. Payments (PMT) are negative because you pay money out. This convention ensures the math works correctly for any scenario.
Can I use this for investment calculations?
Absolutely. To find out how much you'll have after investing, enter your initial investment as PV (negative, since it's money out), regular contributions as PMT (negative), the expected return rate, and the time horizon in months as N. Solve for FV to see your projected balance. The result will be positive, representing the money you'll receive.

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