Concept Architecture
Concept
Theoretically, Willingness-to-Pay Estimation is the process of estimating the maximum monetary amount individuals are willing to pay for a health improvement, healthcare intervention or reduction in health risk. It is grounded in welfare economics, consumer theory and expected utility theory and exists to quantify the monetary value of health benefits where market prices are absent. In health economics, willingness-to-pay estimation provides the monetary benefit required for cost-benefit analysis and health valuation.
Mathematically, willingness-to-pay estimation uses econometric models to estimate the payment that equates utility before and after a health improvement. Estimation may be based on contingent valuation, discrete choice experiments or revealed preference data, with model parameters used to derive mean or median willingness-to-pay values for a population.
In practice, willingness-to-pay estimation is undertaken using survey or observational data collected from representative populations. Responses are analysed using appropriate econometric methods, adjusted for respondent characteristics where necessary, and incorporated into cost-benefit analyses, valuation studies and policy evaluations.
Purpose
Used to estimate the monetary value of health improvements, support cost-benefit analysis, value reductions in health risks, estimate demand for healthcare interventions and inform health technology assessment and public policy.
Mathematical Formulae
Primary Formula
For a random utility model:
WTP = ??? / ???
where:
- ?? = estimated coefficient for the health or intervention attribute
- ??? = estimated coefficient for the cost attribute
Supporting Formulae
Utility specification:
U = ?? + ??X + ???C + �
where:
- X = health or intervention attribute
- C = monetary cost
- � = random error term
Related Mathematical Methods
- Random utility modelling
- Conditional logit modelling
- Mixed logit modelling
- Contingent valuation
- Discrete choice experiments
- Maximum likelihood estimation
- Econometric regression analysis
Example
A discrete choice experiment estimates the following coefficients:
- Health improvement coefficient (??) = 0.90
- Cost coefficient (???) = ?0.003
The estimated willingness to pay is:
WTP = ?0.90 / ?0.003 = �300
The estimated mean willingness to pay for the health improvement is �300.
Excel Implementation
| Function | Example Formula | Health Economics Application |
|---|---|---|
| LINEST | =LINEST(B2:B501,C2:F501,TRUE,TRUE) | Estimate regression coefficients from valuation data |
| AVERAGE | =AVERAGE(B2:B501) | Calculate mean willingness to pay |
| MEDIAN | =MEDIAN(B2:B501) | Calculate median willingness to pay |
| Solver | Maximise the log-likelihood function | Estimate parameters for discrete choice or contingent valuation models |
VBA (Optional)
Automate estimation workflows by importing valuation survey data, fitting econometric models and generating willingness-to-pay estimates with summary reports.
Sources
- Drummond MF, Sculpher MJ, Claxton K, Stoddart GL, Torrance GW. Methods for the Economic Evaluation of Health Care Programmes. Oxford University Press.
- Briggs A, Claxton K, Sculpher M. Decision Modelling for Health Economic Evaluation. Oxford University Press.
- Louviere JJ, Hensher DA, Swait JD. Stated Choice Methods: Analysis and Applications.
- Hanemann WM. Willingness to Pay and Willingness to Accept: How Much Can They Differ? American Economic Review. 1991.
- ISPOR Good Practice Reports.
- CHEERS 2022 Statement.
Related Concepts (2)
Library
Publications
1
NICE DSU Technical Support Document 11: Alternatives to EQ-5D for Generating Health State Utility Values — Brazier, Rowen, TSD 11 ed., 2011 (NICE Decision Support Unit (University of Sheffield))
Guidance on alternatives to EQ-5D — including SF-6D, HUI, condition-specific preference-based measures, direct valuation and vignette methods — for generating health-state utility values.
Frequently Asked Questions (6)
What is willingness-to-pay estimation?
The empirical process of measuring willingness to pay, typically through stated preference methods such as contingent valuation or discrete choice experiments.
Source: Mitchell & Carson 1989
What does willingness-to-pay estimation involve?
Willingness-to-pay estimation is the empirical measurement of how much people would give up for a good or outcome, usually where no market price exists to reveal it. Because many health and environmental goods are not traded, their value is obtained by eliciting preferences directly or inferring them from related choices. The exercise defines the good precisely, presents it to respondents in a realistic way, and derives a monetary value from their responses, which can then enter a cost-benefit analysis.
Source: Mitchell & Carson 1989
What methods are used to estimate willingness to pay?
Two families of method are used. Stated preference methods ask people directly, through contingent valuation, which poses a hypothetical payment for a described good, or discrete choice experiments, which infer value from choices between options with differing attributes and prices. Revealed preference methods instead infer value from actual behaviour, such as spending on travel to reach a service or wage premiums for risk. Stated methods can value goods not yet provided, while revealed methods rest on real choices.
Source: Mitchell & Carson 1989
What is contingent valuation in willingness-to-pay estimation?
Contingent valuation elicits willingness to pay by describing a good and the terms on which it would be provided, then asking what respondents would pay for it, often through a question offering a stated amount to accept or reject. The good, the payment vehicle, and the context are specified so that responses are grounded in a concrete scenario. Aggregating responses across a sample gives an estimate of value for a good that has no market price.
Source: Mitchell & Carson 1989
What biases affect willingness-to-pay estimation?
Hypothetical bias arises because respondents are not actually paying, so stated amounts can exceed real willingness to pay. Answers may be insensitive to the scale of the good, giving similar values for larger and smaller provision. Starting amounts offered in the question can anchor responses, and the choice of payment vehicle can affect them. Strategic answering, where respondents misstate values to influence provision, is a further concern. Careful design and testing are used to limit these effects.
Source: Mitchell & Carson 1989
How is the quality of a willingness-to-pay estimate judged?
An estimate is judged by whether the good was clearly described, whether values respond sensibly to the scale of the good, and whether the method and sample support generalisation to the relevant population. Tests include checking that willingness to pay rises with the size of the benefit and that results are stable across reasonable variations in question design. Transparent reporting of the scenario, the elicitation format, and the treatment of non-responses allows the estimate to be appraised.
Source: Mitchell & Carson 1989
Trust Record
Verified by Dr Darrin Baines
British health economist
Professional identity: darrinbaines.org
Verification date: 5 Aug 2025
Content version: 1.0.0
Canonical Identity
- Term code
- HE-EE-CBA-057
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