13 Research methods, statistics, critical review and evidence-based practice13.6 Economic analysis

13.6.7.4 Discounting

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Written by Resident Doctor Committee · Published

What discounting does

  • Discounting converts future costs and health gains to smaller present values, and the further away they fall, the smaller they become.

  • Present value = future value / (1 + r)^t, where r is the annual rate and t the number of years ahead.

  • Discounting is not an adjustment for inflation: costs are first set in a common price year, then discounted at a real rate.

How much the far future shrinks

Years ahead

Value of £1,000 at 3.5%

Value of £1,000 at 1.5%

10

£709

£862

20

£503

£742

40

£253

£551

  • At 3.5%, value roughly halves every 20 years; at 1.5%, it halves about every 47 years.

  • Discounting alters the result most for a programme with costs paid now and benefits many years later, such as prevention, early intervention and childhood services.

Follow each curve to the right: the present value of $1,000 falls more steeply the higher the discount rate, so a higher rate shrinks far future values much more than a lower one. Congressional Budget Office (Congress of the United States), Public domain, via Wikimedia Commons

UK rates

Framework

Costs

Health effects

NICE reference case

3.5%

3.5%

NICE exception

1.5%

1.5%

Green Book, years 1 to 30

3.5%

1.5%

  • NICE may consider the 1.5% exception only when untreated people would die or live very severely impaired lives, treatment is likely to restore near-full health, and benefits last a very long time.

Should health share the rate for costs?

  • The Keeler-Cretin postponement argument shows that if health is discounted more slowly than costs, delaying an unchanged programme improves its incremental cost-effectiveness ratio.

  • The case against a single rate is that health is not a tradable asset, so the income-growth reason for discounting money does not transfer to health.