How much health is worth having?

In the Grossman model, health is capital. One more unit pays a return in healthy time; holding it costs the interest Ed could earn elsewhere (r) plus the rate his health wears down (δ). Ed invests until the two are equal.

Marginal efficiency of investment in health and the cost of capital Rate of return is on the vertical axis and health stock on the horizontal axis. The downward-sloping MEI curve shows the return on one more unit of health; the flat line is the cost of capital, r plus delta. Ed’s best health stock, H*, is where they cross.
  • Cost of capital, r + δ

Find the best health stock

The MEI curve shows what one more unit of health returns at each health stock; the amber line is what holding it costs. Drag the dot, tap the graph, or use the slider.

Try this: drop r to 1%, as when interest rates are near zero. Where does H* go? Then raise it to 10%, as if Ed paid for his gym membership with a credit card.