A student loan forgiveness calculator is a projection, not a determination. Given a balance, a rate, an income-based payment and a number of qualifying payments, arithmetic tells you what would still be outstanding when that count is reached. Whether any of it is actually cancelled is decided by the programme rules and by your loan servicer, and this page has no visibility into either.
Arb Digital publishes the calculation because the shape of the answer is genuinely hard to guess. It sits beside the discretionary income calculator, which works out the income figure a plan payment is based on, and the student loan payoff calculator, which assumes the loan is repaid in full. Every threshold on this page is an input rather than a built-in constant, because forgiveness rules are revised by legislation, by regulation and by litigation, and a number baked into a web page in one year is wrong in the next.
What This Student Loan Forgiveness Calculator Does
It runs a month-by-month projection. In each month it computes a payment from your income and the protected threshold you entered, charges interest on the balance, applies the payment, and moves on. Income is grown once a year by the rate you set. When the required number of qualifying payments is reached, whatever balance remains is reported as the amount that would be forgiven if the programme cancels it.
Around that headline it reports four supporting figures: the payment in the first month, the number of payments still to make, the total amount you would hand over across the projection, and the tax that would fall due on the forgiven balance at whatever rate you chose to model. That last figure is a what-if. It is included because a large cancelled balance can carry a real tax consequence in some jurisdictions and years, and pretending otherwise would be misleading.
If the payments clear the balance before the count is reached, the projection stops and reports nothing forgiven. That is a common outcome for smaller balances relative to income, and it is worth seeing plainly.
What the page does not do is assess eligibility. It does not know your loan types, your employer, your plan, which of your past payments the servicer has credited, or what the rules say this month. It takes the programme terms as inputs and does arithmetic with them.
How to Use It
- Take the balance and rate from your servicer's account page. Where several loans are held, they may have different rates, and a single blended figure is an approximation; the blended interest rate calculator produces that figure honestly.
- Enter the income figure the plan actually uses. That is usually adjusted gross income rather than gross pay, and the difference on a typical salary is large enough to change the payment noticeably.
- Look up the current poverty guideline for your household size and state and type it in. It is revised annually. An out-of-date figure quietly shifts every payment in the projection.
- Set the protected share and the payment share to match the plan terms you are reading. Plans differ on both, and the terms have changed more than once.
- Enter only payments the servicer has already credited as qualifying. Payments you made are not automatically payments that count, and the servicer's tally is the one that matters.
The Formula / How It's Calculated
Discretionary income for the purposes of an income-driven payment is
discretionary income = max(0, income − poverty guideline × protected share).
The annual payment is that figure multiplied by the payment share, and the monthly payment is one twelfth of it. The balance then evolves as
balancenext = balance + balance × rate ÷ 12 − monthly payment, month after month, with income stepped up once a year.
Worked example, matching the values this page loads with. A balance of 60,000 at 6 per cent, income of 55,000, a poverty guideline of 15,650, a protected share of 150 per cent and a payment share of 10 per cent. The protected amount is 15,650 × 1.5 = 23,475, so discretionary income is 55,000 − 23,475 = 31,525. Ten per cent of that is 3,152.50 a year, or 262.71 a month.
Monthly interest in the first month is 60,000 × 0.06 ÷ 12 = 300.00. The payment is 262.71, so the balance rises by 37.29 that month. With income growing 3 per cent a year the payment climbs and eventually overtakes the interest charge, but only slowly. Running the projection forward from 24 credited payments to a required 120 leaves 58,878.45 outstanding after the remaining 96 payments, having paid 30,127.85 along the way. At a modelled 22 per cent, tax on the forgiven balance would be 12,953.26.
Who Actually Decides Whether Anything Is Forgiven
Not this page, and not any calculator. The programme rules set the conditions, and the loan servicer applies them to your record. Payment counts are the usual point of difficulty: a payment can fail to qualify because of the loan type, the repayment plan in force that month, the employer, the payment amount or its timing, and a borrower's own tally and the servicer's tally frequently disagree.
The Consumer Financial Protection Bureau's summary of what Public Service Loan Forgiveness is states the framework: qualifying federal loans can be forgiven after 120 qualifying monthly payments while working for a qualifying public service employer, the payments need not be consecutive, and only Direct Loans qualify. Each of those clauses carries conditions that the servicer, not the borrower, verifies.
Income-driven repayment is a separate mechanism with its own terms. The CFPB's overview of income-driven repayment plans and how to qualify sets out plans that cap payments at a share of discretionary income and cancel any remaining balance after a stated number of years, with the share and the term differing from plan to plan. Those plans have been amended repeatedly and some have been the subject of litigation, which is precisely why every threshold on this page is a field you fill in rather than a constant.
The practical consequence is that a projection is only as current as the terms you typed into it. Read the official programme page for the plan you are looking at, on the day you are looking at it, and use those numbers.
Why the Balance Grows While You Pay
The worked example above is not an error. An income-based payment is calculated from income, with no reference to the size of the debt. When the balance is large relative to income, the payment can be smaller than the monthly interest charge, and the balance rises.
This is negative amortisation, and it is the single most disorienting feature of these plans. Eight years of payments totalling more than thirty thousand can leave a balance slightly below where it started. Nothing has gone wrong; the arithmetic simply has the interest charge winning for a long stretch.
Some plans have carried an interest subsidy that absorbs part or all of the unpaid interest, and where one applies the balance behaves quite differently. This page does not model any subsidy, so where one exists the projection here is pessimistic. If you want the effect, reduce the rate you enter to the net rate the subsidy leaves in place and note that you have done so.
Capitalisation is the other mechanism to be aware of. In some circumstances accumulated unpaid interest is added to principal, after which interest is charged on it too. This projection keeps unpaid interest inside the balance continuously, which approximates monthly capitalisation and is therefore slightly conservative compared with a plan that capitalises rarely.
Whether a Forgiven Balance Is Taxed
The default rule for cancelled debt is that it is income. The IRS states in Topic no. 431, Canceled debt – Is it taxable or not? that if a debt is cancelled, forgiven or discharged for less than the amount owed, the cancelled amount is taxable and must be reported in the year the cancellation occurs. It then lists exceptions, which is where student loans get complicated.
The same page describes exclusions covering certain student loan cancellations tied to working in specific professions, discharge on death or total and permanent disability, amounts under certain loan repayment assistance programmes, and a time-limited exclusion for student loan discharges after 31 December 2020 and before 1 January 2026. That last one has an end date printed on it, which is exactly the kind of detail that makes a hardcoded assumption dangerous.
State or provincial treatment can differ from national treatment, and a jurisdiction that generally follows the national rule may not follow a particular exclusion. The tax field on this page exists so you can model a rate rather than assume one; the effective tax rate calculator helps if you want a blended figure rather than a marginal one. What the correct treatment is for your discharge, in your jurisdiction, in the year it happens, is a question for a tax professional.
What This Model Leaves Out
Several real features of these programmes are outside a projection of this kind, and knowing which ones matters more than the headline number.
Recertification is annual. Income and household size are re-reported each year and the payment is recalculated, so a promotion, a change in household, or a year of lower earnings all move the path. A single steady growth rate is a simplification.
Payment caps apply on some plans, where the payment is limited to what a standard ten-year schedule would require. Where such a cap binds, the real payment is lower than a pure percentage-of-income figure.
Loan mixtures behave differently from a single balance, because each loan carries its own rate and its own eligibility. Aggregating them, as this page does, is an approximation. The remaining loan balance calculator is the better tool for tracking one loan precisely.
And credited payments are the servicer's number, not yours. Gaps, deferments, forbearances, plan switches and administrative reviews all move that count in both directions, and every projection is anchored to it.
Arb Digital publishes a large library of free financial and business tools, all of them free to use and free of sign-up.
Browse the Free Tools Talk to Arb DigitalCommon Mistakes to Avoid
- Using gross pay instead of the income figure the plan uses — that is usually adjusted gross income, and the gap between them changes the payment materially.
- Carrying over last year's poverty guideline — it is revised annually, and an old figure shifts every payment in the projection.
- Counting payments you made rather than payments the servicer credited — the two are routinely different, and only the credited tally advances you toward forgiveness.
- Assuming a forgiven balance is tax-free — cancelled debt is taxable by default and the exclusions are specific, time-limited and jurisdiction-dependent.
- Treating any projection as an entitlement — eligibility is determined by the programme and applied by the servicer, and the rules change.
Related Free Tools From Arb Digital
Work out the income figure a plan payment rests on with the discretionary income calculator, model repaying in full with the student loan payoff calculator, and compare private terms with the student loan refinance calculator. Track one loan precisely with the remaining loan balance calculator, reduce several rates to one with the blended interest rate calculator, check the burden against earnings with the debt to income ratio calculator, and estimate a blended tax rate with the effective tax rate calculator. Everything else is in the free online tools hub.
Frequently Asked Questions
It is whatever is still outstanding when the required number of qualifying payments is reached. The projection charges interest monthly, applies an income-based payment, and reports the balance at that point. Every threshold used is an input, because the rules change.
Because an income-based payment is set by income, not by the size of the debt. When the payment is smaller than the monthly interest charge, the difference is added to the balance. That is negative amortisation, and on a large balance it can continue for years.
Your loan servicer applies the programme rules to your record and maintains the official count. Loan type, repayment plan, employer, payment amount and timing can all affect whether a given month counts, and a borrower's own tally often differs from the servicer's.
Cancelled debt is taxable by default, and the IRS lists specific exclusions for student loans, including discharge on death or total and permanent disability and a time-limited exclusion for discharges after 31 December 2020 and before 1 January 2026. Local treatment may differ, so ask a tax professional about your case.
It depends on the programme. The public service programme is described as 120 qualifying monthly payments. Income-driven plans state longer terms that vary by plan and loan type. Enter the figure stated on the official page for the plan you are reading about.
Payments are recalculated when income and household size are recertified, normally once a year. A single growth rate is a simplification of that path, so rerun the projection whenever your circumstances change rather than relying on an old result.
No. Some plans have absorbed part of the unpaid interest, and where that applies the balance behaves better than this projection shows. If you want to approximate it, enter the net rate the subsidy leaves in place and note that you have done so.
No. It performs arithmetic on figures you supply and has no visibility into your loans, your employer, your plan or the current rules. Eligibility is determined by the programme and applied by your servicer, and the official programme page is the authority on the terms.
This page performs arithmetic on figures you enter and is provided for general information only. It is not financial, tax or legal advice, and it is not a determination of eligibility for any forgiveness or cancellation programme. Programme rules change through legislation, regulation and litigation; your loan servicer and the programme itself decide what qualifies and what is cancelled, and the official programme pages are the authority on current terms. Amounts forgiven may be taxable depending on your jurisdiction and the year of discharge. For advice about your own circumstances, speak to a licensed financial adviser or a qualified tax professional.
