Amortization Calculator
Every payment split into interest and principal, with the contractual schedule and the extra-payment schedule side by side.
Protection
Estimate coverage three ways from one set of figures — a multiple of income, DIME, and a needs analysis that discounts income replacement and the cost of replacing unpaid household work, then nets off what you already hold.
Most coverage estimates answer one of two questions and quietly present the answer as though it settled the other. A multiple of income asks what a salary is worth over some period. A needs analysis asks what your household would actually have to pay for, and what it already has to pay with. Those are different questions, and the gap between their answers is often several hundred thousand dollars.
This calculator runs all three methods off the same inputs so the difference is visible rather than hidden by whichever method a page happens to implement. The needs analysis is the most informative of the three, because it is the only one that prices your obligations and your resources rather than assuming them. That does not make it correct — it makes its assumptions explicit and yours to change.
Two things it deliberately counts that quick methods usually miss. The first is unpaid household work: child care, transport, cooking, cleaning, care for a relative. Someone would have to be paid to do it, whether or not the person doing it now earns a salary. The second is discounting — a payout that has to fund fifteen years of spending does not need to equal fifteen years of spending, because the unspent balance earns something while it waits.
It asks nothing about your health, your habits or your medical history, because none of that belongs in a needs estimate. Those questions determine what cover costs and whether an insurer will offer it, which is underwriting, not planning. Everything here is a planning estimate.
Three methods from one set of figures. Nothing here is a recommendation, a quote or an underwriting outcome.
$1,274,040 of obligations, less $420,000 of resources already in place. A planning estimate, not the amount of a policy.
This is a planning estimate and a coverage gap, not a recommended policy. It prices the obligations you listed against the resources you listed; it says nothing about your health, eligibility, the right policy type, or what cover would cost.
| Method | Estimate | Counts | Leaves out |
|---|---|---|---|
| Income multiple (10×) | $850,000 | Annual income only | Debts, mortgage, education, savings, existing cover, unpaid work |
| DIME (gross) | $1,640,000 | Debt, undiscounted income replacement, mortgage, education | Savings and existing cover, final expenses, unpaid work, discounting |
| DIME less resources | $1,220,000 | DIME, less existing cover and liquid assets | Final expenses, unpaid work, discounting |
| Detailed needs analysis | $854,040 | Discounted income and services, all obligations, all stated resources | Aid, benefits and taxes; underwriting and premiums |
The four figures are not competing answers to one question — they answer different questions. The needs analysis lands $4,040 above the income multiple and $365,960 below DIME after resources.
Scroll the table sideways on a narrow screen to see every column.
| Assumption | Lever | Income replacement PV | Total obligations | Coverage gap |
|---|---|---|---|---|
| 10 years of income replacement | Replacement horizon | $546,063 | $1,038,290 | $618,290 |
| 20 years of income replacement | Replacement horizon | $995,751 | $1,487,978 | $1,067,978 |
| 15 years at 4% | Your assumptions | $781,814 | $1,274,040 | $854,040 |
| 3% instead of 4% | Assumed return on the payout | $834,324 | $1,330,324 | $910,324 |
| 5% instead of 4% | Assumed return on the payout | $734,319 | $1,222,981 | $802,981 |
Across this range the gap runs from $618,290 to $1,067,978 — a spread of $449,688. The high figure is not a target and the low one is not a floor.
Scroll the table sideways on a narrow screen to see every column.
| Item | Side | Amount |
|---|---|---|
| Income replacement (present value, 15 years) | Obligation | $781,814 |
| Replacement of unpaid household work (present value, 8 years) | Obligation | $112,226 |
| Mortgage payoff | Obligation | $240,000 |
| Other debt | Obligation | $25,000 |
| Final expenses | Obligation | $15,000 |
| Education funding | Obligation | $100,000 |
| Other financial obligations | Obligation | $0 |
| Individual life insurance | Resource | $150,000 |
| Employer or group life insurance | Resource | $170,000 |
| Liquid savings | Resource | $40,000 |
| Taxable investments | Resource | $60,000 |
| Dedicated education funds | Resource | $0 |
| Other assets earmarked for survivors | Resource | $0 |
| Total obligations | $1,274,040 | |
| Less resources | −$420,000 | |
| Coverage gap | $854,040 |
Scroll the table sideways on a narrow screen to see every column.
| Year | Amount needed | Discount factor | Present value | Cumulative PV |
|---|---|---|---|---|
| 1 | $59,500 | 1.0000 | $59,500 | $59,500 |
| 2 | $60,690 | 0.9615 | $58,356 | $117,856 |
| 3 | $61,904 | 0.9246 | $57,234 | $175,089 |
| 4 | $63,142 | 0.8890 | $56,133 | $231,222 |
| 5 | $64,405 | 0.8548 | $55,053 | $286,276 |
| 6 | $65,693 | 0.8219 | $53,995 | $340,270 |
| 7 | $67,007 | 0.7903 | $52,956 | $393,227 |
| 8 | $68,347 | 0.7599 | $51,938 | $445,165 |
| 9 | $69,714 | 0.7307 | $50,939 | $496,104 |
| 10 | $71,108 | 0.7026 | $49,960 | $546,063 |
| 11 | $72,530 | 0.6756 | $48,999 | $595,062 |
| 12 | $73,981 | 0.6496 | $48,057 | $643,119 |
| 13 | $75,460 | 0.6246 | $47,132 | $690,251 |
| 14 | $76,970 | 0.6006 | $46,226 | $736,477 |
| 15 | $78,509 | 0.5775 | $45,337 | $781,814 |
Each year is drawn at the start of the year, so year 1 is undiscounted. The final cumulative figure is the income replacement present value in the summary above.
Scroll the table sideways on a narrow screen to see every column.
The headline is a coverage gap, not a policy. It is the estimated shortfall between the obligations you listed and the resources you listed — the amount that is currently unfunded, in today's money. It is not a recommendation about how much cover to buy, what kind to buy, or whether to buy any.
The three methods will not agree, and the pattern of disagreement is the useful part. On the default figures the needs analysis lands at $854,040 and a 10× income multiple at $850,000 — within $4,040 of each other, which is a coincidence and nothing more. Gross DIME comes out at $1,640,000 because it multiplies income by fifteen years without discounting and counts no resources at all; net of resources it is still $1,220,000. Two methods agreeing tells you very little; the reason each one lands where it does tells you a lot.
Read the funded percentage next to the gap. On the defaults, $420,000 of insurance and assets covers 33% of $1,274,040 of obligations. The percentage moves quite differently from the gap when employer cover is the largest single resource, which is worth knowing given that employer cover usually ends with the job.
The sensitivity table exists because two assumptions do most of the work. Stretching the replacement horizon from ten years to twenty moves the gap from $618,290 to $1,067,978. A single percentage point off the assumed return adds $56,284; a point on takes $51,059 away. If a decision flips inside that range, the range is the answer, not the central figure.
The survivor-income timeline is there so the present value can be checked rather than trusted. Each row shows the amount needed in that year, the discount factor applied to it, and the running total; the last cumulative figure is the income replacement present value in the summary above it.
The income multiple and DIME are arithmetic, and their formulas are below in full. Neither is a professional standard: they are rules of thumb that circulate widely because they are easy to state, and the range of multiples in common use — anything from five to fifteen times income — is wide enough that choosing one is the whole decision.
The needs analysis is a balance sheet. On one side are the obligations a survivor would face, with the recurring ones converted to a present value. On the other are the resources that already exist to meet them. The difference, floored at zero, is the coverage gap.
Both replacement streams use the same timing convention: the amount is drawn at the beginning of each year, so year 1 is undiscounted and year k is discounted by k − 1 years. The amount grows at the rate you set, because the cost of the thing being replaced rises while it is being drawn on.
Present values are computed iteratively, year by year, rather than from a closed form. Closed forms for a growing annuity exist and agree with this to the cent, but they divide by zero when growth equals the discount rate — a case a user can reach in two keystrokes — and they do not produce the year-by-year rows the page renders for checking.
Income multiple
Estimate = Annual income × multiple (+ children × per-child amount)DIME, in its conventional gross form
DIME = Debt + (Annual income × Years) + Mortgage + EducationPresent value of a replacement stream, drawn at the start of each year
PV = Σ (k = 1 to n) of A × (1 + g)^(k − 1) ÷ (1 + r)^(k − 1)Gross obligations
Gross = PV(income replacement) + PV(household work) + Mortgage + Other debt + Final expenses + Education + OtherCoverage gap
Coverage gap = max(0, Gross obligations − Resources); Funded % = min(Resources, Gross) ÷ GrossOn survivor benefits: this model does not include Social Security survivor benefits, and does not silently assume them away either. Eligibility, the benefit amount, the family maximum and the earnings test depend on a rules set and an earnings record that no general calculator can stand in for. Including a guessed figure would reduce the estimated gap by an amount nobody could check. If you have an estimate from your own Social Security statement, the honest way to use it here is to value it yourself and enter it under other assets earmarked for survivors, knowing what you have assumed.
On tax: the model works in pre-tax figures throughout and contains no tax engine. Life insurance death benefits paid to a beneficiary are generally not included in gross income for federal income tax purposes, but estate treatment, interest paid on delayed proceeds, and state rules can all differ. IRS Publication 525 is the starting point, and a professional is the right answer for anything beyond it.
On employer cover: it is counted as a resource because it exists today, but it is listed separately from individual cover for a reason. Group cover usually ends when the employment does, and is often not portable. If you would not still have it in the scenario you are planning for, the consistent thing to do is set it to zero and read the gap again.
Take the default household: $85,000 of income with 70% of it to be replaced for 15 years, the amount needed growing 2% a year, and 4% assumed on the unspent balance. Add $15,000 a year for 8 years to replace unpaid household work, a $240,000 mortgage, $25,000 of other debt, $15,000 of final expenses and $100,000 of education funding. Against that sit $150,000 of individual cover, $170,000 of employer cover, $40,000 of savings and $60,000 of taxable investments.
The income stream is $59,500 in year 1, rising to $78,509 by year 15. Undiscounted it totals $1,028,958; discounted at 4% it is worth $781,814 today — the $247,144 difference is what the unspent balance is assumed to earn while it waits. Replacing household work adds $112,226. With the four lump sums, gross obligations come to $1,274,040.
Resources of $420,000 cover 33% of that, leaving an estimated coverage gap of $854,040. A 10× income multiple would have produced $850,000. The two land within $4,040 of each other and it means nothing: change the mortgage, the horizon or the employer cover and they diverge immediately, because only one of them was looking at those figures.
Gross DIME on the same household is $1,640,000, because it multiplies $85,000 by 15 years with no discounting at all and counts no resources. Netting off the same $420,000 leaves $1,220,000 — still $365,960 above the needs analysis, the bulk of which is the discounting DIME does not do.
The table below isolates the assumption doing the most work: how long income is replaced for.
| Years replaced | Income replacement PV | Total obligations | Coverage gap |
|---|---|---|---|
| 5 years | $286,276 | $778,502 | $358,502 |
| 10 years | $546,063 | $1,038,290 | $618,290 |
| 15 years | $781,814 | $1,274,040 | $854,040 |
| 20 years | $995,751 | $1,487,978 | $1,067,978 |
| 25 years | $1,189,894 | $1,682,120 | $1,262,120 |
| 30 years | $1,366,073 | $1,858,300 | $1,438,300 |
Every other input held at its default. Each figure is generated by the calculation module on this page and pinned by an automated test. The horizon alone moves the gap by $1,079,798 across this range — which is why the length of the replacement period deserves more thought than the choice of method.
Not insurance advice. This is a planning estimate built from figures you supplied, not insurance advice, an offer of coverage, or a recommendation to buy any policy. Quantus does not sell insurance and receives nothing from any insurer. Coverage decisions depend on circumstances a calculator cannot see — discuss them with a licensed professional.
Quantus publishes no coverage statistics, no average premiums and no benchmark multiples inside this calculator. Rules of thumb are described as rules of thumb, and the figures that would date fastest — wages, benefit rules, tax treatment — are left to the sources above with their own years attached.
Every payment split into interest and principal, with the contractual schedule and the extra-payment schedule side by side.
Two curves on one timeline: costs inflating and savings compounding, with the gap between them priced.
An age-based projection with a real-terms view and a capital target built from retirement cash flows, not from a withdrawal-rate rule.
Present value is what a later amount is worth today. Future value is what today's amount becomes later. One equation solved in opposite directions: use present value to price an offer you are given, future value to project a plan you are making, and move both cash flows to the same date before comparing them.
A projection in future dollars answers a question nobody asked. Converting it to today's money is one division.
Retirement projection is future value on a long horizon, with two complications: inflation, and the fact that the target is an income rather than a sum.