The Price of a Life
Every government that decides whether to build a safer road, tighten an air pollution rule or require a new kind of brake has to compare a cost in money with a benefit measured in deaths avoided. To compare them it needs a number.
In the United States that number is called the value of a statistical life. The Department of Transportation's guidance set it at $13.2 million for analyses in 2023 dollars and $13.7 million for 2024. The Environmental Protection Agency uses its own figure, updated for inflation and income. Other countries use other numbers and other names. Britain's Department for Transport speaks of the value of preventing a fatality.
The phrase invites a misunderstanding worth taking apart slowly. Nobody is pricing one person's life. No agency believes a person could be bought for $13.7 million, or that a life is worth that much and not a dollar more. The number refers to no identifiable person at all.
What the number actually measures
Start from small risks. Suppose a regulation would reduce the annual risk of dying in a particular kind of accident by one in 100,000, for each of a million people. Nobody knows who would have died. Across the million, the regulation is expected to prevent 10 deaths a year. Those are the statistical lives.
Now ask what people are willing to pay for small reductions in their own risk of death. Economists estimate this from how much extra pay workers accept for riskier jobs, how much people pay for safer products, and from surveys. If people, on average, would pay about $137 a year to reduce their own annual risk by one in 100,000, then a million people together would pay $137 million for a change that saves ten statistical lives. Divide one by the other and you get $13.7 million per statistical life.
That is the whole construction. The value of a statistical life is a way of adding up many people's valuations of tiny changes in risk. It is a price for risk, expressed per expected death, used so that a benefit measured in safety can be set beside a cost measured in money.
| Population affected | 1,000,000 people |
| Reduction in annual risk of death, each | 1 in 100,000 |
| Expected deaths avoided a year | 1,000,000 × 1/100,000 = 10 |
| Willingness to pay for that reduction, each | $137 a year |
| Total willingness to pay | 1,000,000 × $137 = $137,000,000 |
| Per statistical life | $137,000,000 / 10 = $13,700,000 |
| Rule | Cost | Expected benefit | Implied cost per life | Test |
|---|---|---|---|---|
| Safety rule A | $60 million a year | 8 statistical lives a year | $7.5m per life avoided | passes at $13.7m |
| Safety rule B | $400 million a year | 12 statistical lives a year | $33.3m per life avoided | fails at $13.7m |
Why it exists
Refusing to use a number does not avoid the comparison. Every decision to spend or not spend on safety makes one implicitly. A rule that costs $500 million and is expected to prevent one death a year for twenty years has an implied value per statistical life whether anyone writes it down or not. Writing it down makes the comparison consistent across agencies and visible to the public, which can then argue with it.
It is also contested, and the contests are serious. Should the number differ by income, age or country? Agencies in the United States generally use one value for everyone, precisely to avoid valuing a poorer or older person's risk reduction less. International comparisons that adjust for income produce lower numbers for poorer countries, which is defensible as a measure of willingness to pay and uncomfortable as a statement about people.
A rule that failed the test
In 2002 a two-year-old named Cameron Gulbransen was killed when his father reversed the family car in their driveway and could not see him. Congress passed a law named after him in 2008 that told the Department of Transportation to improve rear visibility. The rule, published in 2014, required rear-view cameras in new light vehicles from May 2018. The agency's own analysis put the rule's own effect at 13 to 15 deaths prevented a year, at a net cost of $15.9 million to $26.3 million for each equivalent life saved: well above the value of a statistical life it used at the time. Once every vehicle on the road carried a camera, it expected 58 to 69 lives saved a year. The rule went ahead because Congress had required it. The gap was written down, published, and chosen in the open.
Values also differ between agencies and between countries. Britain's transport appraisal uses a figure far lower in pounds than the American one in dollars. The spread is no scandal. This issue found the same thing in nine price services answering one question: different definitions, different inputs, different purposes.
The boundary of the issue
This is as far as the idea of a price can be pushed. A value of a statistical life is constructed, like an index. It is contested, like a benchmark. It depends on who is asked and how, like an appraisal. And it is used to decide real things, like a mark. Everything this issue has said about prices applies to it.
What does not apply is exchange. Nobody can sell a statistical life or buy one. The number exists because decisions must be made and money must be compared with something that is not money. It is a price in every sense except the one most people mean.
The number was never about one person. It is about everyone, a little.