US Treasury Bill Yield Formula:
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The US Treasury Bill yield calculation determines the annualized return on investment for Treasury bills based on the discount from face value and the time to maturity. It uses a 360-day year convention common in financial calculations.
The calculator uses the US Treasury Bill yield formula:
Where:
Explanation: The equation calculates the discount yield as a percentage, annualized using a 360-day year.
Details: Accurate yield calculation is crucial for comparing returns on different T-bills and other short-term investments, and for making informed investment decisions.
Tips: Enter the face value and purchase price in USD, and days to maturity. All values must be positive (face value > purchase price, days ≥ 1).
Q1: Why use 360 days instead of 365?
A: The 360-day year is a banking convention that simplifies interest calculations. Most money market instruments use this convention.
Q2: What's the difference between discount yield and bond equivalent yield?
A: Discount yield uses 360 days and the purchase price as base, while bond equivalent yield uses 365 days and face value as base, making it more comparable to other fixed-income securities.
Q3: What are typical T-bill maturities?
A: Common maturities are 4-week, 8-week, 13-week (3-month), 26-week (6-month), and 52-week (1-year) bills.
Q4: Are T-bill yields taxable?
A: T-bill interest is exempt from state and local taxes but subject to federal income tax.
Q5: How does this differ from the investment rate?
A: The investment rate (or coupon equivalent yield) uses 365 days and is generally slightly higher than the discount yield.