calculate-loan

01 Loan payments

Reverse Loan Payment Calculator: Estimate Monthly Payments

Calculator No. 01-5192 · Updated · Formula and assumptions shown below

Monthly payment $405.53
Total interest
$4,331.80
= Monthly payment × loan term × 12 − loan amount
Loan amount
$20,000
Input
Interest rate (APR)
8 %
Input
You enter
Loan amount ($), Interest rate (APR) (%), Loan term (years)
You get
Monthly payment ($), Total interest ($)
Rounding
2 dp

Estimate for education, not financial advice. The result follows from the numbers you enter and the formula shown. It is not a quote or an offer, and it does not include fees, taxes or insurance unless the calculator asks for them. Ask your lender for the exact figures.

A reverse loan payment calculator estimates the level monthly payment needed to repay a loan when you enter its amount, annual percentage rate (APR), and term in years. It returns the monthly payment and the total interest implied by those inputs; it does not calculate proceeds or eligibility for a reverse mortgage.

Formula

This calculator applies the standard fixed-rate, fully amortizing loan-payment formula. It finds a payment that, after the specified number of monthly payments, repays the starting principal and interest:

Monthly payment = round[P × r ÷ (1 − (1 + r)−n), 2]

  • P is the amount borrowed, in dollars.
  • APR is the annual percentage rate entered as a percentage, such as 8 for 8%.
  • r is the monthly rate expressed as a decimal: APR ÷ 1200.
  • n is the number of monthly payments: years × 12.
  • Monthly payment is rounded to the nearest cent.

Total interest is calculated as the rounded monthly payment multiplied by the number of payments, minus the amount borrowed: total interest = payment × n − P. Because the payment is rounded first, this is an estimate based on equal cent-rounded payments; a real loan’s final payment may be adjusted.

Worked Example

Using the calculator’s defaults: a $20,000 loan, 8% APR, and a five-year term.

  1. Convert the APR to a monthly decimal rate: 8 ÷ 1200 = 0.0066667.
  2. Find the number of payments: 5 × 12 = 60.
  3. Substitute into the payment formula: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] = $405.53 after rounding to cents.
  4. Calculate total interest using that rounded payment: $405.53 × 60 − $20,000 = $4,331.80.

The estimated monthly payment is $405.53, and estimated total interest is $4,331.80.

Assumptions

  • The interest rate is fixed for the entire term.
  • Payments are equal, monthly, and made at the end of each monthly period.
  • Interest compounds monthly at APR ÷ 12.
  • The calculation excludes fees, taxes, insurance, PMI, escrow, and any payment changes or final-payment adjustment.

What “Reverse Loan Payment” Can Mean

The phrase can refer to two different calculations. Some people mean working backward from a loan amount, rate, and term to find the monthly payment. That is what this calculator does. Others mean a reverse mortgage, a different type of arrangement in which a homeowner may receive money from a lender rather than make the usual scheduled principal-and-interest payments.

A regular loan-payment formula cannot estimate reverse-mortgage proceeds or the amount available to a homeowner. Those figures can depend on additional inputs and contract terms not included here. Use the calculator only for a conventional fixed-payment repayment estimate, and check the applicable loan documents or provider for product-specific figures.

When to Use the Estimate and How to Read It

Use the calculator to see how a stated principal, APR, and repayment period translate into an estimated monthly principal-and-interest payment under the assumptions above. It can also help illustrate how changing one input affects the arithmetic. For example, holding the rate and term constant while increasing the amount borrowed increases the calculated payment.

The total-interest figure is the interest implied by making the same rounded payment for every month in the selected term. It is not the total amount paid: add the principal to total interest to get the scheduled repayment total in this simplified model. Nor is it a complete borrowing-cost figure if fees or other charges apply. Enter the APR and term supplied for the particular loan rather than treating the defaults as market information. Get actual figures from the lender’s disclosure.

Common Errors and Limits

  • Entering 8 instead of 0.08: Enter the APR as a percentage number. For 8%, type 8; the calculator converts it to a monthly decimal rate.
  • Confusing years and months: The term field is in years, and the formula multiplies it by 12. A five-year term means 60 payments.
  • Mixing payment and total cost: The monthly result excludes costs outside the formula. The interest output is not the monthly payment or the full loan balance.
  • Rounding differences: Payments are rounded to cents, and the total-interest estimate uses that rounded amount. A lender’s schedule may differ slightly, particularly in the last payment.
  • Assuming the rate stays fixed: A changing rate, irregular payments, deferred payments, or extra principal payments are not represented.

The formula is intended for positive loan amounts, positive APRs, and a positive term. It does not calculate a payment for a zero-interest loan, model daily interest, determine qualification, or account for product-specific rules. For a personalized repayment schedule, use the lender’s disclosed principal, payment dates, rate method, and charges.

Frequently Asked Questions

Does this calculator calculate reverse-mortgage payments?
No. It calculates a regular fixed monthly payment made to repay a loan. Reverse-mortgage proceeds or payment options require a different calculation and product-specific information.

What information do I need?
Enter the loan amount in dollars, APR as a percentage per year, and repayment term in years. The calculator converts the term to monthly payments and APR to a monthly rate.

Why does the monthly payment differ from a lender’s quote?
The lender’s figure may include charges or use different payment dates, rate terms, rounding, or loan features. Compare the assumptions and use the lender’s disclosure for the exact contractual figures.

Does total interest include fees or insurance?
No. It is calculated from the rounded payment and principal only. Fees, taxes, insurance, PMI, and escrow are not included.

Can I use it for a variable-rate loan?
Only as a simplified estimate based on the APR entered as though it remains fixed. The calculation does not project future rate changes or resulting payment adjustments.

This result is an estimate for educational use; the lender’s disclosure gives the exact figures.

Related

Formula used
in p | Loan amount | $ | 20000 | 1 | 100000000
in apr | Interest rate (APR) | % | 8 | 0.01 | 100
in yrs | Loan term | years | 5 | 0.0833 | 50
out pmt | Monthly payment | $ | round(p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)), 2) | 2
out int | Total interest | $ | pmt * yrs * 12 - p | 2

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard loan formula for this calculation, fixed rate and monthly compounding unless stated, rounded as each result states. Not financial advice; no lender, rate or product is recommended. See formulas and assumptions, the disclaimer or report an error.

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