DCP

Finance & Money

Debt Consolidation Payoff Calculator

Combine three debts, derive the balance-weighted APR, add the consolidation fee, and compare modeled payoff paths.

Total existing debt-
Balance-weighted existing APR-
Consolidation origination fee-
Starting consolidated balance including fee-
Estimated current payoff months-
Estimated consolidated payoff months-
Estimated current-plan interest-
Estimated consolidation interest-
Current minus consolidation interest-

Decision view

Current and consolidated debt payoff curves

Current and consolidated debt payoff curvesBoth balances share the same monthly axis; payoff endpoints and modeled interest remain explicit.
Exact scenario comparisonPlanned consolidation payment changes while all other entered assumptions remain constant.
Planned consolidation paymentTotal existing debtBalance-weighted existing APRConsolidation origination feeStarting consolidated balance including feeEstimated current payoff monthsEstimated consolidated payoff monthsEstimated current-plan interestEstimated consolidation interestCurrent minus consolidation interest

Period-by-period detail

Complete consolidated-debt payoff schedule

Every month recalculates opening balance, interest, principal, ending balance, and cumulative interest from the fee-inclusive starting balance.

How to use Debt Consolidation Payoff Calculator

  1. Enter balances, APRs, payments, the proposed consolidation APR, and its fee.
  2. Compare the two balance curves.
  3. Check lender disclosures before acting.

Calculator guide

Understanding Debt Consolidation Payoff Calculator

A consolidation comparison must include the origination fee and compare payoff duration and interest at explicitly entered payments.

Sum the debts All three balances share the same comparison date.
Calculate the weighted APR Larger balances contribute more to the proxy rate.
Add the origination fee The fee is financed in the default model.
Solve both payoff durations Both paths use the entered $780 payment, but different rates and starting balances.

Calculation method

How the calculation works

Combine three entered balances, calculate their balance-weighted APR, add the exact consolidation fee, and compare payoff duration and modeled interest at entered payments. Sum balances, weight each APR by its balance, add the fee to the new principal, and solve the fixed-payment payoff equation for both plans.

Detailed calculation process

Compare current and consolidated payoff paths

The default combines $9,000 at 22%, $15,000 at 14%, and $6,000 at 9%, then compares $780 monthly against a 10.5% consolidation with a 3% fee.

General formula: B = sum B_iAPR_w = sum(B_i APR_i)/BF = B(f/100)B_c = B+Fn = -ln[1-B(r/12)/P]/ln(1+r/12)I = Pn-BDelta_I = I_current-I_consolidated The weighted rate is a planning proxy for separate debts. The payoff equation solves the fractional month at which a constant payment amortizes each modeled balance.

What each symbol means

B_i, APR_i Debt balance ($) and annual rate (%) for debt i.
B, APR_w Total balance ($) and balance-weighted APR (%).
f, F, B_c Origination fee (%), fee ($), and fee-inclusive consolidated balance ($).
P Entered monthly payment ($/month).
r Annual percentage rate as a decimal.
n Modeled payoff duration (months).
I, Delta_I Modeled interest and current-minus-consolidated difference ($).

Worked substitution with the default inputs

1. Sum the debts B = 9,000+15,000+6,000B = $30,000 All three balances share the same comparison date.
2. Calculate the weighted APR APR_w = [9,000(22)+15,000(14)+6,000(9)]/30,000APR_w = 15.4% Larger balances contribute more to the proxy rate.
3. Add the origination fee F = 30,000(3/100) = $900B_c = 30,000+900 = $30,900 The fee is financed in the default model.
4. Solve both payoff durations n_current = 53.358 monthsn_consolidated = 48.855 months Both paths use the entered $780 payment, but different rates and starting balances.
5. Reconcile modeled interest I_current = 780(53.358)-30,000 = $11,619.473I_consolidated = 780(48.855)-30,900 = $7,206.622Delta_I = $4,412.850 The fee-inclusive consolidation still shows lower modeled interest under the defaults.

The default consolidation shortens the modeled payoff by about 4.504 months and lowers modeled interest by about $4,412.85.

Purpose-built visual

Dual debt-payoff balance curves

Current and consolidated balances share a monthly axis, with their payoff endpoints and cumulative interest kept separate.

Live The chart is regenerated from current inputs.
Units Every axis, marker, and endpoint retains its stated unit.
Check The chart reconciles to the displayed calculation.

Worked situations

Practical examples

  • The default combines $9,000 at 22%, $15,000 at 14%, and $6,000 at 9%, then compares $780 monthly against a 10.5% consolidation with a 3% fee.
  • The default consolidation shortens the modeled payoff by about 4.504 months and lowers modeled interest by about $4,412.85.

Better inputs

Useful tips

  • Change one input at a time and confirm both the result and visual move.
  • Keep the units stated beside every field.
  • Retain intermediate precision and round only the reported result.

Before relying on the result

Limitations and common mistakes

  • The weighted-rate current plan cannot reproduce separate minimum-payment rules.
  • Promotional rates, late fees, compounding conventions, and payment allocation are excluded.
  • Loan approval and savings are not guaranteed.

Reference

Key terms

Weighted APR
Balance-weighted planning rate for multiple debts.
Origination fee
Upfront fee added to the consolidated balance here.
Payoff duration
Modeled months under a constant payment.

Important note

Calculated from the entered values and stated financial terms. It is not a product quote, lending decision, tax filing, or investment recommendation.

Frequently asked questions

Why include the fee in principal?

The default assumes it is financed.

Is weighted APR exact?

No; it is a proxy for separate debts.

Why can a lower APR still be unattractive?

Fees or a lower payment can extend payoff.

Are fractional months literal billing periods?

No. They are continuous payoff estimates.