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DALY and QALY calculator: YLL, YLD, discounting and cost per QALY (ICER)

Work out disability-adjusted life years (DALY = YLL + YLD) with optional discounting, QALYs from utilities you enter, and the incremental cost-effectiveness ratio per QALY gained and per DALY averted.

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  1. Burden
  2. Utilities
  3. QALY, DALY
  4. ICER
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For study and teaching, not medical advice. Check with a qualified professional. All example numbers on this page are made up.

Settings

Discounting counts a healthy year in the future as worth a little less than one now. Use 0 for no discounting (as the Global Burden of Disease study does since 2010); 3 % is a common choice in cost-effectiveness studies. Formula: each stretch of L years starting at year s counts as (e−rs − e−r(s+L)) / r years.

Disease burden (DALYs)

Compare an intervention (QALYs and ICER)

Describe one typical person in each arm as health stages, one per line: utility (1 = full health, 0 = dead), years, and optionally a disability weight for the DALY count (otherwise 1 − utility). After the last stage the person dies. Costs are per person.

Comparator
Intervention

The horizon is the life expectancy DALYs are measured against: years between death and the horizon count as years of life lost. The willingness to pay is a threshold you choose; it gives the net monetary benefit.

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What it does

Health economists and public-health teams count health in years. A DALY (disability-adjusted life year) is one year of healthy life lost, to early death or to illness. A QALY (quality-adjusted life year) is one year lived in full health, gained. This calculator does three things:

  1. Disease burden: DALYs = YLL + YLD for one or more conditions.
  2. QALYs: for a comparator and an intervention, from health stages and utilities you type.
  3. Cost-effectiveness: the ICER, the extra cost per QALY gained and per DALY averted, and the net monetary benefit at a threshold you choose.

The tool ships no disability weights or utilities from published tables. Every example number is made up; type the weights and utilities from your own source.

How to use it

  1. Set the discount rate. 0 % means no discounting. Discounting is continuous: a stretch of L years starting at year s counts as (e^(−rs) − e^(−r(s+L))) / r years, so 30 years from now at 3 % counts as 19.78 years.
  2. In Disease burden, type one condition per line: name, deaths, years of life lost per death, cases, disability weight (0 = full health, 1 = as bad as death) and years lived with it. A header line is skipped, and you can open a CSV or Excel file.
  3. In Compare an intervention, describe a typical person in each arm as stages: utility and years, one per line, with an optional disability weight as a third number. The person dies after the last stage. Add the cost per person.
  4. Set the horizon, the life expectancy the DALYs are measured against, and optionally a willingness to pay per QALY.
  5. Download the burden or comparison as CSV, or the report as an image, PDF or Word file.

The formulas

  • YLL = deaths × L, and YLD = cases × disability weight × duration, each with L or the duration discounted as above; DALY = YLL + YLD (Murray, 1994; Fox-Rushby and Hanson, 2001; no age weighting).
  • QALYs = Σ utility × discounted years for each stage.
  • DALYs for an arm = Σ disability weight × discounted years lived, plus the discounted years from death to the horizon. Without a weight, 1 − utility is used: a teaching shortcut, since real disability weights and utilities come from different surveys.
  • ICER = (cost₁ − cost₀) / (QALY₁ − QALY₀). Cost per DALY averted = extra cost / (DALY₀ − DALY₁). Net monetary benefit = threshold × QALYs gained − extra cost (Drummond et al., 2015). When the new option is cheaper and better it dominates, and no ICER is shown.

Worked example

With the made-up rows and 3 % discounting, Condition X (20 deaths losing 30 years each; 500 cases with weight 0.2 for 4 years) gives YLL 395.62 and YLD 376.93, so 772.55 DALYs. With Condition Y, the page shows 1,154.98 DALYs (YLL 480.28 + YLD 674.69).

In the comparison, usual care is 5 years at utility 0.6 for $2,000; the new treatment is 3 years at 0.8 then 5 years at 0.7 for $12,000. The QALYs are 2.79 and 5.27, a gain of 2.48, and the DALYs over a 10-year horizon are 5.39 and 2.81, so 2.58 averted. The ICER is $4,033 per QALY gained, and $3,871 per DALY averted. Type 30000 as the willingness to pay and the net monetary benefit is $64,392.

Tips

  • Compare 0 % and 3 % discounting: gains far in the future shrink most.
  • Thresholds for “good value” differ by country and agency; check the official source for yours.

Frequently asked questions

Why are QALYs gained and DALYs averted different? QALYs use utilities, DALYs use disability weights, and the DALY count also includes years lost up to the horizon. With no weights given and the same horizon, the two would be equal.

Is my data stored? No. Everything runs in your browser and nothing is sent anywhere.

Where the numbers come from

  • DALY = YLL + YLD: Murray (1994), Bulletin of the World Health Organization 72: 429-445; Murray and Lopez (1996), The Global Burden of Disease, Harvard University Press.
  • Continuous discounting without age weighting: Fox-Rushby and Hanson (2001), Health Policy and Planning 16: 326-331.
  • QALYs, ICER and net monetary benefit: Drummond et al. (2015), Methods for the Economic Evaluation of Health Care Programmes, 4th ed., Oxford University Press.
  • All example numbers, weights and utilities are made up for teaching.

Standard scientific values, such as constants, atomic weights and melting points, are facts found in every textbook; we name where ours were checked. If you are an author or publisher and want a value, a credit or a table changed or removed, tell us and we will act quickly.

Last updated 2026-11-09.

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