Debt Consolidation Calculator
A consolidation loan nearly always lowers your monthly payment. Whether it lowers what you actually pay is a different question — this works out both.
The consolidation loan you have been offered. The origination fee is normally deducted from the advance or added to the balance, so it is financed and accrues interest like the rest.
| Route | Monthly | Clear in | Interest & fees |
|---|---|---|---|
| Carry on as you are | $400.00 | 5 yr 6 mo | $10,241 |
| Consolidate | $484.01 | 3 years | $2,424 |
Assumes fixed rates, no new borrowing on the cleared accounts, and every payment made on time. Deciding the order to clear debts you are keeping instead? Use the debt payoff calculator.
About the Debt Consolidation Calculator
Every debt consolidation advert leads with the same promise: one payment, and a smaller one. That part is nearly always true. A consolidation loan stretches your debt over a longer term, and a longer term means a smaller monthly payment almost regardless of the interest rate. The question that decides whether consolidating is a good idea is a different one: what does it cost in total? A lower rate over a longer term can easily cost more than a higher rate over a shorter one, because you are paying interest for more months. Most calculators in this category compute the monthly saving, display it, and stop. This one computes both the monthly change and the total change, and when the payment falls while the total rises it says so plainly rather than presenting the smaller payment as a win. Enter the debts you actually have, with what you actually pay each month, then the loan you have been offered. The origination fee has its own field because it is financed along with everything else, and you pay interest on it.
Mathematical Formula & Logic
Step-by-Step Example
$15,000 on a credit card at 20% APR, paying $600 a month, refinanced to a personal loan at 12%. An eight point drop in the rate, which sounds decisive. Step 1 - what the card costs as it stands Monthly rate: 20 / 1200 = 0.016667 n = -ln(1 - (15,000 x 0.016667) / 600) / ln(1.016667) n = -ln(1 - 0.41667) / ln(1.016667) = 0.87547 / 0.016529 = 33 months Total interest: 600 x 33 - 15,000 = $4,565 Step 2 - the same debt at 12% over three years P = (15,000 x 0.01) / (1 - 1.01^-36) = 150 / 0.301075 = $498.21 Total interest: 498.21 x 36 - 15,000 = $2,936 You pay about $102 less each month and $1,629 less in total. This is a genuine improvement on both measures. Step 3 - the same rate cut over seven years P = (15,000 x 0.01) / (1 - 1.01^-84) = 150 / 0.566606 = $264.79 Total interest: 264.79 x 84 - 15,000 = $7,242 Now you pay $335 less a month, which looks far better, and $2,677 more in total. Same debt, same 12% rate, same lender. The only thing that changed is the term, and it turned a $1,629 saving into a $2,677 loss. Step 4 - where the line actually falls Working through the terms in between, the 20% to 12% refinance stops saving money at about 55 months. At 54 months it still saves $79. At 56 months it costs $98. Anything longer costs more than staying on the card, despite the eight point rate cut. That crossover moves with your numbers, which is the whole reason to calculate it rather than rely on a rule of thumb. Enter your own figures above and the calculator will tell you which side of the line your offer sits on.
Reference Data & Values
| rule name | formula | applicability |
|---|---|---|
| Months to clear an existing debt | n = -ln(1 - (B x r) / P) / ln(1 + r) | Applies to any fixed monthly payment. Undefined when P is at or below B x r, which means the payment does not cover the interest and the debt never clears. |
| Consolidation loan payment | P = (A x r) / (1 - (1 + r)^-n), where A = balances + fee | The standard level payment on a fixed-rate installment loan. The fee sits inside A because it is borrowed, so it accrues interest for the whole term. |
| Cost of consolidating | new interest + origination fee | What the new loan costs above the debt you started with. This is the figure to compare against your current total interest, not the monthly payment. |
| Monthly change | current total payment - new payment | Almost always positive, because the term is almost always longer. On its own it says nothing about whether consolidating is a good idea. |
| Total change | current total interest - cost of consolidating | The measure that decides it. Negative means the loan costs you more overall even when the monthly payment falls. |