What Is a U.S. Treasury Bill?
A U.S. Treasury bill (T-Bill) is a short-term government debt security issued by the U.S. Department of the Treasury. Unlike Treasury notes and bonds, T-Bills do not pay periodic interest (coupon) payments. Instead, they are sold at a discount to their face value, and the investor receives the full face value at maturity. The difference between the purchase price and the face value represents the investor's return.
T-Bills are considered one of the safest investments available because they are backed by the full faith and credit of the United States government. They are widely used by individual investors, institutions, and central banks as a risk-free benchmark and a tool for managing short-term cash positions.
T-Bill Maturities
The U.S. Treasury issues bills with the following standard maturities:
- 4-week (28 days): The shortest standard maturity, auctioned weekly. Ideal for very short-term cash management.
- 8-week (56 days): Auctioned weekly, offering slightly higher yields than 4-week bills.
- 13-week (91 days): Also known as the 3-month T-Bill, auctioned weekly. One of the most actively traded maturities.
- 17-week (119 days): Auctioned every four weeks, providing an intermediate short-term option.
- 26-week (182 days): The 6-month T-Bill, auctioned weekly. A popular benchmark for money market rates.
- 52-week (364 days): The longest standard T-Bill maturity, auctioned every four weeks.
How T-Bill Pricing Works
T-Bills are sold at a discount to their face value. The purchase price is determined by the discount rate established at auction. The formula for calculating the purchase price is:
Price = Face Value × (1 - Discount Rate × Days to Maturity / 360)
For example, a 26-week T-Bill with a face value of $10,000 and a discount rate of 5.00% would have a purchase price of $9,747.22. At maturity, the investor receives the full $10,000, earning $252.78 in interest.
Understanding T-Bill Yield Measures
There are several ways to express the yield on a Treasury bill, each serving a different purpose. Understanding these yield measures is essential for comparing T-Bills with other fixed-income investments.
Bank Discount Yield (BDY)
The Bank Discount Yield is the rate quoted at T-Bill auctions. It uses the face value as the investment base and a 360-day year:
BDY = ((Face Value - Price) / Face Value) × (360 / Days to Maturity)
BDY understates the true return because it uses face value (not the actual amount invested) as the denominator and assumes a 360-day year.
Money Market Yield (MMY)
The Money Market Yield corrects one limitation of BDY by using the purchase price as the base, but still uses a 360-day year:
MMY = ((Face Value - Price) / Price) × (360 / Days to Maturity)
MMY is useful for comparing T-Bills with other money market instruments like commercial paper and certificates of deposit that also use a 360-day convention.
Bond Equivalent Yield (BEY)
The Bond Equivalent Yield uses the purchase price as the base and a 365-day year, making it directly comparable to semiannual coupon bonds:
BEY = ((Face Value - Price) / Price) × (365 / Days to Maturity)
For T-Bills with maturities greater than 182 days, a more complex coupon-equivalent formula is used to account for the semiannual compounding convention of coupon bonds.
Effective Annual Yield (EAY)
The Effective Annual Yield accounts for compounding and represents the true annualized return assuming the investment is reinvested at the same rate:
EAY = (1 + (Face Value - Price) / Price)365/Days - 1
EAY provides the most accurate measure of annualized return and is the best metric for comparing T-Bills with other investments across different compounding frequencies.
How to Use This Treasury Bill Calculator
- Yield Calculator: Enter the face value, purchase price, and days to maturity (or settlement and maturity dates). Click Calculate to see all four yield measures — Bank Discount Yield, Money Market Yield, Bond Equivalent Yield, and Effective Annual Yield.
- Price Calculator: Enter the face value, discount rate, and days to maturity. Click Calculate to determine the purchase price and see the dollar discount and total return.
- Quick Maturity Buttons: Use the preset buttons (4W, 8W, 13W, 17W, 26W, 52W) to quickly set standard T-Bill maturities.
Why Use Our Treasury Bill Calculator?
Four Yield Metrics
Calculate BDY, MMY, BEY, and EAY simultaneously to compare T-Bills with any fixed-income investment.
Price & Yield Modes
Calculate yields from a known price, or determine the purchase price from a known discount rate.
Standard Maturity Presets
Quick-select buttons for all six standard T-Bill maturities — 4W, 8W, 13W, 17W, 26W, and 52W.
Completely Free
No registration, no limits. Use our Treasury bill calculator as many times as you need.