All Fermi answers
Fermi #23 · Question 2

If converted to gold at 2026 prices, how much would the U.S. national debt weigh?

Explore the official answer and the simple reasoning behind this Fermi estimate.

2QUESTION 2 OF 3

Answer & explanation

The official answer, with Fermi’s reasoning step by step.

Answer & explanation

Official answer

280,000

metric tons

How to estimate it

Fermi’s official “Napkin math”

The US national debt is around 40 trillion dollars. What does gold go for? Maybe 4,400 a troy ounce, and a troy ounce is about 31 grams, with a million grams to the metric ton.

US national debt
$40 trillion
÷ gold ($4,400/troy oz)
≈ 9 billion oz
× 31 g, ÷ 1M
≈ 280,000 tons

Rounded assumptions may give a slightly different estimate. The official answer above is the game’s reference value.

Source calculation & reference
U.S. national debt (Aug 2026)
≈ $39.9 T
Gold price
÷ $4,430/troy oz
Troy ounces
≈ 9.0 B
× 31.1 g, ÷ 1 M (g → t)
≈ 280,000 t

Reference cited by Fermi: U.S. Treasury 'Debt to the Penny' (Aug 2026, $39.9 T) · gold spot price, Aug 2026 (~$4,430/troy oz)

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