How Economists Quantify a Life’s Value: WTP, Wage‑Risk, and VPF Explained

In "How Correct Is Your Answer? Think Like a Mathematician" the author introduces the concept of valuing a human life in monetary terms, a practice used by governments to decide on safety‑related spending. The statistical value of a life (VSL) or the value of preventing a death (VPF) is calculated using three main approaches.

1. Willingness to Pay (WTP)

WTP measures how much individuals are prepared to pay to reduce a specific mortality risk. For example, if each person would pay 10 yuan to lower the risk of death by 0.01 %, the statistical value of a life can be derived by dividing the total amount paid by the risk reduction proportion.

Formula: Statistical Value of Life = Amount Willing to Pay ÷ Risk Reduction Ratio

This method reflects collective willingness and translates it into an economic value for policy decisions.

2. Wage‑Risk Approach (WRA)

High‑risk occupations such as miners or firefighters receive higher wages as compensation for danger. By examining the extra wage paid for a given increase in mortality risk, the statistical value of life can be estimated.

Formula: Statistical Value of Life = Wage Risk Compensation ÷ Incremental Risk

This approach assumes that workers demand higher pay for higher death risk, allowing policymakers to infer the monetary value of a life from observed wage differentials.

3. Value of Preventing a Death (VPF)

VPF is used to evaluate the cost‑effectiveness of public‑safety or environmental policies. It represents the amount of money that should be spent to avert a single death.

Formula: VPF = Total Investment ÷ Number of Lives Saved

For instance, a $100 million investment that prevents 100 deaths yields a VPF of $1 million per life saved, guiding decisions on whether a safety measure is financially justified.

International estimates of VSL vary widely: the United States (2023) reports $13.2 million, the United Kingdom (2013) $2.4 million, Australia (2023) $3.4 million, Canada (2023) $1.2 million, the EU (2016) $1.8–7 million, Mexico (2021) $2 million, India (2018) $64 k, New Zealand (2019) $4.8 million, Switzerland (2016) $4.7 million, Japan (2023) $1.67 million, and Singapore (2008) $1.37 million. These figures are employed in transport safety, public‑health, and environmental policy analyses.

While these quantitative tools provide a rational basis for evaluating life‑related policies, they cannot capture the full ethical, cultural, and personal dimensions of human existence.