This is what the calculation gives for the numbers you entered. It is an estimate, not advice, and it knows nothing about your situation beyond those numbers. Rules for United States change on a published schedule; the effective date is shown on every rule-based tool.
How this is calculated
Treasury bills and commercial paper are quoted on a bank discount basis: the return is divided by face value rather than by the price paid, and the year is taken as 360 days. Both choices make the quoted number lower than the return you actually earn. Bond equivalent yield divides by the price and uses 365 days, which is comparable to a bond. Effective annual yield compounds the period return. Comparing a discount quote against a deposit rate without converting is comparing different measures.
Worked examples
Each of these is asserted on every build. If a change to the engine ever moved one of these answers, the build would fail before the page could print it.
a 13 week Treasury bill
- Amount invested
- $100,000.00
- Quoted yield
- 4.8%
- Days to maturity
- 91
- Yield convention
- Bond equivalent
Effective annual yield4.89%
100,000 x 4.8% x 91/365 = 1,196.71, worked by hand on the actual/365 bond-equivalent convention
Open this examplea full year makes the conventions converge
- Amount invested
- $100,000.00
- Quoted yield
- 4.8%
- Days to maturity
- 365
- Yield convention
- Bond equivalent
Effective annual yield4.8%
boundary: at exactly 365 days there is no period to annualise, so every convention agrees
Open this exampleMethod and limits
What it assumes
- A single period held to maturity.
What it deliberately does not model
- Credit risk on commercial paper is real and is not in the yield.
Formula version 1.0.0 · definition 1.0.0 · United States · Report a problem with this calculator
Frequently asked questions
- Why does the same instrument have three yields?
- Different conventions. Discount divides by face value over a 360 day year, bond equivalent divides by price over 365, and effective annual compounds. All three describe the same cash flows.