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Time-value-of-money calculator: make the cash-flow signs visible

Solve a regular-payment example while keeping period count, interest convention, timing and cash-flow direction explicit.

A TVM calculation connects five quantities: number of periods, interest, present value, regular payment and future value. Before solving for one, make sure the other four describe the same cash-flow timeline.

The web exercise is for learning a regular-payment model. It does not quote a lender's offer or include fees, taxes, insurance, irregular payment dates or a changing interest rate.

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Choose a point of view

From a borrower's perspective, receiving the loan is a positive present value and paying the instalments is a negative payment. Use one viewpoint consistently. Giving every cash flow the same sign can make a standard borrowing problem inconsistent.

Write the timeline before entering numbers: when the money arrives, how often payments happen, how many payments there are, and whether a balance remains at the end.

Work through a twelve-payment loan

For an illustrative 1,200 loan at 6% nominal annual interest compounded monthly, use 12 end-of-month payments, PV = +1,200 and FV = 0. With a monthly rate of 0.5%, the calculated PMT is approximately −103.28.

The minus sign represents money leaving the borrower's viewpoint. Keep the unrounded payment during mathematical checks. A real payment schedule may round each payment and adjust the final one, so it need not match a repeated rounded amount exactly.

Check before changing the model

Confirm that N counts payments rather than years. Check END versus BEGIN and whether the annual rate is nominal or effective. If a comparison uses different assumptions, fix those assumptions before comparing payments.

Yieldra keeps all five TVM registers visible and separates payment frequency from compounding frequency. Its free TVM result card helps inspect balance and interest after the input problem is clear.

  • Label the interest convention.
  • State whether payments are in advance or arrears.
  • Include a nonzero FV when a final balance remains.

Questions, answered

Does a negative payment mean the calculation failed?

No. It normally indicates an outflow from the viewpoint you selected. Check the sign of the present value and future value too.

Is the displayed payment a current loan quote?

No. It is a mathematical result from your inputs and exclusions, not a lender offer or financial recommendation.

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Keep going in Yieldra

Free TVM keys and a result card showing balance, interest and total interest · Visible N, I/Y, PV, PMT and FV registers, with separate P/Y and C/Y settings · Offline calculations; Pro adds worksheets, extra payments, saved problems and PDF/CSV export

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