Debt Avalanche Calculator — Optimize Your Debt Payoff Order & Save Interest
Use our Debt Avalanche Calculator to prioritize high-APR balances, minimize total interest, and estimate your exact debt-free date. Add multiple debts, set minimums, and apply extra payments.
Full original guide (expanded)
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted text)
For a given debt \(i\) with monthly rate \(r_i = \frac{\text{APR}_i}{12}\) and balance \(B_{i,t}\): Monthly interest: \(I_{i,t} = B_{i,t}\, r_i\) Principal reduction: \(P_{i,t} = \max(0,\ \text{payment}_{i,t} - I_{i,t})\) Next balance: \(B_{i,t+1} = \max(0,\ B_{i,t} + I_{i,t} - \text{payment}_{i,t})\) Strategy order each month: Avalanche: sort debts by \( \text{APR}_i \) descending. Snowball: sort by \( B_{i,t} \) ascending.
Variables and units
- P = principal (loan amount) (currency)
- r = periodic interest rate (annual rate ÷ payments per year) (1)
- n = total number of payments (years × payments per year) (count)
- M = periodic payment for principal + interest (currency)
Sources (authoritative):
- Paying down debt — consumerfinance.gov · Accessed 2026-01-19
https://www.consumerfinance.gov/ - Getting Out of Debt — ftc.gov · Accessed 2026-01-19
https://www.ftc.gov/ - Home — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/ - Finance — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/finance - Loans & Debt — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/subcategories/finance-loans-debt - Credit Card Payoff — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/credit-card-payoff-calculator - Loan Amortization — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/loan-amortization - APR Calculator — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/apr
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
- Initial audit spec draft generated from HTML extraction (review required).
- Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
- Confirm sources are authoritative and relevant to the calculator methodology.