**How to value a life.**

Why 6.1 million? I can hear many of you yelling at the screen “But a

human life is priceless!”.

Well, first let me shatter that illusion, a life does not have infinite

value. If a single life were infinitely valuable, then we should devote

all of our resources to saving a single life. Did you buy a cup of coffee

today? If so, that 50 cents could have been put towards buying a new bath

mat, or any other safety device that could protect your or someone else’s

life. Even by driving to work in the morning you are risking your life

and other’s. If the value of life were indeed infinite we would never be

prepared to increase risk in any way, and we would never devote any resources

to any non lifesaving activity.

Since we do engage in risky behavior and spend money on coffee, movies,

computers, and other luxuries, we must be placing an implicit, and finite,

value on life.

Since I have now (hopefully) convinced you that the value of life is

finite, we should be able to, in principle at least, be able to measure

its value. Here’s an example to show you how it might be done.

Suppose that you are considering buying a new car. This car has an option

for a super sophisticated new air bag system which will save your life

in 1/4 of the cases of an otherwise fatal crash. Say that the odds of getting

into such a crash are 1/100. So, the odds of having your life saved if

you buy the device is 1/400.

The device costs a hefty 10,000, so you decide to take the risk and

decide not to buy the air bag. By making this decision, you are saying

that the the *expected benefit of the device is not worth the cost.*

*expected value of life; no purchase > expected value of life; with
purchase*

The expected value of a life under uncertainty is given by the mathematical

expectation operator: the value of an uncertain outcome is p * X + (1-p)

* Y where p is the probability of receiving a payoff of X and (1-p) is

the probability of receiving payoff Y. (I will also assume what is called

“risk neutrality,” but the calculation can be done without this assumption).

Since, with probability of 1/400, you’re dead and get nothing, this gives

us:

*(399/400) * value of life + 1/400 (0) > (value of life – $10,000)*

Using some simple algebra…

*(1/400) value of life < $10,000*

*value of life < $4 million!*

Of course, more careful estimates look closer at the probabilities and

describe better the behavior of people, but this is the general idea –

by looking at the risk taking behavior, we can form some idea about how

people place a value on their own life.

The $6.1 million number comes from an average of several previous studies

on the topic. For more details see W.

K. Viscusi, “The Value of Risks to Life and Health” in the Journal

of Economic Literature 31(4) 1993 for a complete review. Also see Risk,

Regulation and Responsibility on the web.

**Disagree? Too high? Too Low? Think a life is worth more than 6.1
million?**

**Post**

your thoughts in the Forum.

your thoughts in the Forum.

Filed under: Economics