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Swimming Costs $120

To understand why swimming costs $120, we must first go on an actuarial journey...


Units of Death

How do we measure deadly risk? A grave question. Well if one mortality is one death, then one micromort is a 1 in a million chance that a particular choice or activity will result in death.

To provide a sense of scale, here are some single micromort-level activities:

Of course there are more dangerous activities. Rather than provide numbers we will use the ☠ symbol to represent one micromort of risk.

One licensed scuba dive

☠ ☠ ☠ ☠ ☠

Running a marathon

☠ ☠ ☠ ☠ ☠ ☠ ☠

One skydive

☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠

Giving birth

☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠

Being born

☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠

Using heroin

☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠ ☠


The price of life

What is the price of life? An even more sobering question than the previous one! By what method could one possibly value someone's life? And why would we even want to put a number on something so precious?

Methods of estimation

We could just use lifetime earnings, but that is horrible as the value of life is tied to economic status.

We could ask people what they think their life is worth, but stated preferences rarely match reality. How many people really enjoy long walks on the beach?

We could try and use revealed preferences. For example by looking at the correlation between job salary and risk of death or injury or the amount consumers are willing to pay for safety improvements. However people often lack information about risks and/or are terrible at comprehending statistics.

We can look at how much a group is willing to pay to extend someone's life through medical intervention, for example how much someone is willing to spend on dialysis.

Why put a price on it?

Determining the value of a life is critically important whenever making decisions that trade off risk and cost. For example say it costs $8 million to install special filters capture the fumes of a chemical process. These fumes increase the risk of cancer for the 100 workers by 1%. Should the filters be installed?

Let us agree with the US Environmental Protection Agency and estimate the value of a statistical life to be about $10 million and run the numbers:

$10,000,000 * 100 workers * 1% chance of cancer = $10,000,000

From these numbers we can determine that although it will cost $8 million to install the filter, the increased cancer risk costs a total of $10 million. Therefor the filters should be installed!

Putting it together

If we continue using the $10 million estimate for the value of a human life then one micromort is worth $10.

Going swimming carries a risk of 12 micromorts due to the possibility of drowning.

Therefor...

Swimming costs $120