Fermi estimate: size the outstanding stock of US one-dollar notes
Quick Overview
A Fermi estimation interview question asking how many dollar bills are circulating in the United States. It tests defining the denomination and what counts as in circulation, estimating a stock of notes rather than a flow of spending, structuring labeled assumptions about where cash sits, and sanity-checking the result.
Fermi estimate: size the outstanding stock of US one-dollar notes
Company: Google
Role: Product Manager
Category: Product / Decision Making
Difficulty: medium
Interview Round: Other
Estimate how many US dollar bills are circulating right now. Explain how you structure the estimate, label each assumption, show the arithmetic and finish with a single number.
```hint Stock, not flow
Money spent over a year is not the same thing as the number of notes that exist at one moment. Think about where the notes are sitting today.
```
### Clarifying Questions
- Does "dollar bills" mean only \$1 notes, or every denomination of US paper currency?
- Does cash held in bank and credit union vaults count, or only cash in the hands of people and businesses?
- Do notes held outside the United States count?
- Should notes that were lost or put away years ago, but never returned to be destroyed, be included?
### What a Strong Answer Covers
- A clear scope: which denomination, and what counts as "in circulation".
- An approach that counts a stock of notes rather than a year of spending, with buckets that cover where notes actually sit.
- Labeled, rounded assumptions and correct arithmetic across millions and billions.
- A sanity check from a second angle and the assumptions that move the answer most.
### Follow-up Questions
- How would your approach change if the interviewer meant all denominations?
- Card and phone payments keep growing. Would you expect the count to fall, and why might it not?
- If you could look up one statistic to tighten the estimate, which would you choose?
Overview: A Fermi estimation interview question asking how many dollar bills are circulating in the United States. It tests defining the denomination and what counts as in circulation, estimating a stock of notes rather than a flow of spending, structuring labeled assumptions about where cash sits, and sanity-checking the result.
Fermi estimate: size the outstanding stock of US one-dollar notes
Google
Jun 17, 2024
mediumProduct ManagerOtherProduct / Decision Making
0
0
Estimate how many US dollar bills are circulating right now. Explain how you structure the estimate, label each assumption, show the arithmetic and finish with a single number.
Clarifying Questions Guidance
Does "dollar bills" mean only $1 notes, or every denomination of US paper currency?
Does cash held in bank and credit union vaults count, or only cash in the hands of people and businesses?
Do notes held outside the United States count?
Should notes that were lost or put away years ago, but never returned to be destroyed, be included?
What a Strong Answer Covers Guidance
A clear scope: which denomination, and what counts as "in circulation".
An approach that counts a stock of notes rather than a year of spending, with buckets that cover where notes actually sit.
Labeled, rounded assumptions and correct arithmetic across millions and billions.
A sanity check from a second angle and the assumptions that move the answer most.
Follow-up Questions Guidance
How would your approach change if the interviewer meant all denominations?
Card and phone payments keep growing. Would you expect the count to fall, and why might it not?
If you could look up one statistic to tighten the estimate, which would you choose?