Treasury Bill Yield Calculator
Calculate various yield measures for U.S. Treasury Bills including discount yield, money market yield, and bond equivalent yield.
Important Financial Disclaimer
This calculator provides estimates based on standard financial formulas from verified references. Results are for informational and educational purposes only and should not be considered as professional financial, investment, or tax advice.
For important financial decisions such as loans, investments, mortgages, retirement planning, or tax matters, please consult with qualified financial advisors, certified financial planners, or licensed tax professionals who can review your specific situation.
Calculations may not account for all variables specific to your circumstances, local regulations, or current market conditions. Always verify results and consult professionals before making financial commitments.
Not a substitute for professional financial advice
T-Bill Details
T-Bills are sold at a discount and pay face value at maturity. Different yield measures serve different comparison purposes.
Bond Equivalent Yield
6.108%
comparable to bond yields
Yield Measures
Return Analysis
What Is a Treasury Bill?
A Treasury Bill (T-Bill) is a short-term U.S. government debt obligation backed by the full faith and credit of the federal government. Unlike bonds and notes that pay periodic coupons, T-Bills are zero-coupon instruments — they are sold at a discount to their face (par) value and mature at full face value. The difference between what you pay and what you receive at maturity is your return.
The U.S. Treasury regularly auctions T-Bills in six standard maturities: 4-week (28 days), 8-week (56 days), 13-week (91 days), 17-week (119 days), 26-week (182 days), and 52-week (364 days). Individual and institutional investors alike use T-Bills as one of the safest, most liquid short-term investments available, making the treasury bill yield calculator an essential tool for fixed-income analysis.
Because T-Bills mature in less than one year, they carry virtually no interest-rate risk compared to longer-term bonds. They are also exempt from state and local income taxes, which is a significant advantage for investors in high-tax states. For cash management, money market funds, and conservative portfolio construction, understanding T-Bill yields is critical.
The minimum purchase amount for T-Bills is $100, sold in $100 increments. You can buy directly from the U.S. Treasury at TreasuryDirect.gov or through a brokerage. Secondary market trading also allows you to sell before maturity, though the price will reflect the prevailing interest rate environment at the time of sale.
How Treasury Bill Yields Are Calculated
T-Bill yields are not as straightforward as bond coupon rates. Because T-Bills trade at a discount and have no coupon, the financial industry uses four distinct yield measures — each suited to a different comparison purpose. The treasury bill yield calculator computes all four simultaneously so you can use the right measure for your analysis.
All four measures start from the same discount amount: Discount = Face Value − Purchase Price. From there, the measures diverge in how they annualize that discount and what base they use for the calculation.
The Bank Discount Yield (BDY) is the traditional Wall Street quoting convention. It uses face value (not price) as the base and a 360-day year, which means it systematically understates true returns. It is useful mainly for comparing one T-Bill quote to another, not for comparing T-Bills to other investments.
The Money Market Yield (MMY), also called the CD-equivalent yield, also uses a 360-day year but uses the purchase price as the base instead of face value. This makes it directly comparable to bank certificate-of-deposit rates, which follow the same convention.
The Bond Equivalent Yield (BEY) uses a 365-day year and purchase price as the base. This is the most useful measure for comparing T-Bills to notes and bonds (which also use 365-day conventions). For T-Bills with 182 days or fewer to maturity, the BEY formula is straightforward. Longer maturities require a more complex quadratic formula to account for semiannual compounding assumptions.
The Effective Annual Yield (EAY) applies compound interest to give the true annualized return if the discount were reinvested at the same rate. It is always the highest of the four measures and provides the most accurate picture of total return on an annualized basis.
Treasury Bill Yield Formulas
Where:
- Discount= Face Value minus Purchase Price (dollars)
- Face= Par / face value of the T-Bill at maturity
- Price= Purchase price paid in the market or at auction
- Days= Days remaining until maturity
- BDY= Bank Discount Yield — traditional quoting convention, 360-day basis
- MMY= Money Market Yield — CD-equivalent yield, 360-day basis
- BEY= Bond Equivalent Yield — investment rate, 365-day basis
- EAY= Effective Annual Yield — true compound annual return
Understanding the Four Yield Measures
Each of the four yield measures computed by this T-Bill yield calculator serves a specific analytical purpose. Knowing when to use each one prevents costly apples-to-oranges comparisons.
| Measure | Day Count | Base | Best Used For |
|---|---|---|---|
| BDY | 360 | Face value | Comparing T-Bill quotes to one another |
| MMY | 360 | Purchase price | Comparing T-Bills to CDs or money market funds |
| BEY | 365 | Purchase price | Comparing T-Bills to Treasury notes and bonds |
| EAY | 365 (compound) | Purchase price | True annualized return with reinvestment |
The Bank Discount Yield is the number you see quoted in the financial press and on Bloomberg terminals for T-Bill auctions. It is always the lowest of the four measures because it divides by the larger face value and uses the shorter 360-day year. Never compare a T-Bill's BDY directly to a bond's yield-to-maturity — the result will be misleading.
The Bond Equivalent Yield is the standard used for cross-asset comparison in the fixed-income world. When analysts say a 3-month T-Bill "yields 5.2%," they almost always mean the BEY. This is also the figure that most online treasury yield curve data sources report. Using the BEY allows you to directly compare a 13-week T-Bill to a 2-year Treasury note yield without adjustment.
The Effective Annual Yield assumes you can reinvest the proceeds of each T-Bill at the same rate when it matures. While no investment is guaranteed to achieve this, the EAY provides the most theoretically pure annualized return figure and is the best measure for long-run compounding analysis.
Comparing T-Bills to Other Short-Term Investments
The primary reason investors need a treasury bill yield calculator is to make fair comparisons between T-Bills and other cash-equivalent instruments. The yield conventions differ, so raw numbers cannot be compared without conversion.
T-Bills vs. Bank CDs: Certificate-of-deposit rates are quoted on a 360-day actual/360 basis, so the Money Market Yield is the appropriate T-Bill figure to use in this comparison. In practice, T-Bills often offer competitive or superior yields to CDs, particularly for shorter maturities, and they offer the additional advantage of state and local tax exemption. A CD yielding 5.00% in a state with 6% income tax is effectively less than a T-Bill with a 4.90% MMY for a resident of that state.
T-Bills vs. Treasury Notes and Bonds: Use the Bond Equivalent Yield for this comparison. T-Bill BEYs are plotted on the same yield curve as 2-year, 5-year, and 10-year Treasury yields. When short-term rates exceed long-term rates (an inverted yield curve), T-Bills can offer better returns than longer-duration bonds with the added benefit of zero price risk from rate changes.
T-Bills vs. Money Market Funds: Money market funds hold a portfolio of T-Bills and other short-term instruments and typically quote a 7-day or 30-day annualized yield. These are MMY-equivalent figures. Holding T-Bills directly typically yields slightly more than a money market fund because there are no management fees, though you sacrifice some liquidity and diversification.
T-Bills vs. Savings Accounts: High-yield savings accounts quote APY (Annual Percentage Yield), which is equivalent to the Effective Annual Yield. Use the EAY from this calculator to make a direct comparison with a savings account's APY. When the Federal Reserve raises the federal funds rate, T-Bill yields typically rise quickly to match or exceed savings account rates.
The T-Bill Auction Process and Secondary Market
Understanding how T-Bill prices are set helps you use the T-Bill yield calculator more effectively. Treasury Bills are sold through weekly auctions run by the U.S. Department of the Treasury. There are two types of bids: competitive and noncompetitive.
Noncompetitive bids are the choice for most individual investors. You agree in advance to accept whatever discount rate the auction determines, and you are guaranteed to receive the T-Bill. This is how purchases through TreasuryDirect.gov work. The discount rate — and therefore the purchase price — is not known until the auction closes.
Competitive bids are placed by primary dealers, institutional investors, and sophisticated individuals who specify the exact discount rate they are willing to accept. If your bid is at or below the stop-out rate (the highest accepted rate), you receive an allocation. If your bid is above the stop-out rate, you receive nothing.
After issuance, T-Bills trade in the secondary market with extremely high liquidity. Bid-ask spreads are typically just 1–2 basis points for on-the-run (recently issued) T-Bills. When you buy a T-Bill in the secondary market, you use the purchase price and remaining days to maturity in this calculator — not the original issue price or original term.
Auction results are published on the TreasuryDirect website and include the high discount rate, the median discount rate, and the ratio of total bids to total accepted bids (bid-to-cover ratio). A high bid-to-cover ratio signals strong demand and tends to produce slightly lower yields. Monitoring auction results helps investors identify when T-Bill yields are particularly attractive relative to the federal funds rate target.
Tax Treatment and Investment Strategy
One of the most compelling features of Treasury Bills is their favorable tax treatment. The discount income (your profit from buying below face value and receiving face value at maturity) is subject to federal income tax, but it is exempt from all state and local income taxes. For investors in high-tax jurisdictions such as New York, California, or New Jersey, this exemption can add significant after-tax value.
For example, if you live in a state with a 10% state income tax rate and are in the 22% federal bracket, a T-Bill with a 5.0% BEY has an after-tax yield equivalent of about 5.0% × (1 − 0.22) = 3.90% on a federal basis, but a taxable instrument would need to yield 5.0% / (1 − 0.32) = 7.35% before state and federal tax to match. This makes T-Bills especially powerful for investors in high-income-tax states.
From a portfolio strategy perspective, T-Bills play several roles. They serve as a cash parking vehicle during periods when an investor is waiting to deploy capital into equities or real estate. They also function as the risk-free rate benchmark in asset allocation models — the Capital Asset Pricing Model (CAPM) uses the T-Bill yield as its risk-free rate input. When T-Bill yields are unusually high relative to expected equity returns, some investors shift from stocks into T-Bills until valuations improve.
T-Bill laddering is a common strategy: purchasing multiple T-Bills with staggered maturities (e.g., one maturing each month for the next six months) to ensure regular liquidity while capturing higher yields on longer maturities. Use the treasury bill yield calculator to compare the BEY across different maturities and identify which points on the T-Bill yield curve offer the best risk-adjusted value at any given time.
Worked Examples
13-Week T-Bill — Standard Investment
Problem:
You purchase a 13-week (91-day) T-Bill with a face value of $10,000 at a price of $9,850. Calculate all four yield measures.
Solution Steps:
- 1Calculate the discount: $10,000 − $9,850 = $150 (1.50% of face value)
- 2Bank Discount Yield: (150 ÷ 10,000) × (360 ÷ 91) × 100 = 0.015 × 3.9560 × 100 = 5.934%
- 3Money Market Yield: (150 ÷ 9,850) × (360 ÷ 91) × 100 = 0.015228 × 3.9560 × 100 = 6.023%
- 4Bond Equivalent Yield (days ≤ 182): (150 ÷ 9,850) × (365 ÷ 91) × 100 = 0.015228 × 4.0110 × 100 = 6.110%
- 5Effective Annual Yield: (1 + 150 ÷ 9,850)^(365 ÷ 91) − 1 = (1.015228)^4.011 − 1 = 6.249%
Result:
BDY = 5.934%, MMY = 6.023%, BEY = 6.110%, EAY = 6.249%. The BEY of 6.110% is the figure most directly comparable to other fixed-income instruments.
26-Week T-Bill — Comparing to a CD
Problem:
A 26-week (182-day) T-Bill has a face value of $10,000 and a purchase price of $9,750. Your bank is offering a 6-month CD at 5.10% APY. Which is the better deal on an after-tax basis (assume a 5% state income tax)?
Solution Steps:
- 1Calculate discount: $10,000 − $9,750 = $250
- 2Bond Equivalent Yield: (250 ÷ 9,750) × (365 ÷ 182) × 100 = 0.025641 × 2.0055 × 100 = 5.142%
- 3Effective Annual Yield: (1 + 250 ÷ 9,750)^(365 ÷ 182) − 1 = (1.025641)^2.0055 − 1 = 5.208%
- 4CD after-tax (EAY basis): 5.10% × (1 − 0.05) = 4.845% (state tax applies to CD income)
- 5T-Bill after-state-tax EAY: 5.208% × 1.00 = 5.208% (no state tax on T-Bill discount)
Result:
The T-Bill's EAY of 5.208% beats the CD's after-state-tax return of 4.845%. Even though the quoted CD rate is higher, the T-Bill's state tax exemption makes it the superior choice for investors in taxable states.
4-Week T-Bill — Short-Term Cash Parking
Problem:
You need to park $50,000 for 28 days while awaiting a real estate closing. A 4-week T-Bill is available at a purchase price of $9,980 per $10,000 face value. What is the dollar return and annualized yield?
Solution Steps:
- 1Per-bill discount: $10,000 − $9,980 = $20 per bill
- 2Number of bills purchased: $50,000 ÷ $9,980 ≈ 5.010 bills → purchase 5 bills for $49,900
- 3Total dollar return at maturity: 5 × $20 = $100
- 4Bank Discount Yield: (20 ÷ 10,000) × (360 ÷ 28) × 100 = 0.002 × 12.857 × 100 = 2.571%
- 5Bond Equivalent Yield: (20 ÷ 9,980) × (365 ÷ 28) × 100 = 0.002004 × 13.036 × 100 = 2.612%
- 6Effective Annual Yield: (1 + 20 ÷ 9,980)^(365 ÷ 28) − 1 = (1.002004)^13.036 − 1 = 2.644%
Result:
You earn $100 over 28 days on a $49,900 investment, equivalent to a 2.612% BEY and 2.644% EAY. This is a fully liquid, risk-free return that beats leaving cash idle in most checking accounts.
8-Week T-Bill — Yield Comparison Across Measures
Problem:
An 8-week (56-day) T-Bill has a face value of $10,000 and is purchased at $9,945. Demonstrate the difference between BDY, MMY, BEY, and EAY.
Solution Steps:
- 1Discount: $10,000 − $9,945 = $55
- 2BDY: (55 ÷ 10,000) × (360 ÷ 56) × 100 = 0.0055 × 6.4286 × 100 = 3.536%
- 3MMY: (55 ÷ 9,945) × (360 ÷ 56) × 100 = 0.005531 × 6.4286 × 100 = 3.556%
- 4BEY: (55 ÷ 9,945) × (365 ÷ 56) × 100 = 0.005531 × 6.5179 × 100 = 3.606%
- 5EAY: (1 + 55 ÷ 9,945)^(365 ÷ 56) − 1 = (1.005531)^6.5179 − 1 ≈ 3.672%
Result:
BDY = 3.536%, MMY = 3.556%, BEY = 3.606%, EAY = 3.672%. The spread between BDY and EAY is 13.6 basis points — a meaningful difference that grows larger at higher yield levels and longer maturities.
Tips & Best Practices
- ✓Always use Bond Equivalent Yield (BEY) when comparing T-Bill yields to Treasury notes, bonds, or other securities quoted on a 365-day basis.
- ✓Use Money Market Yield (MMY) when comparing T-Bills to bank CDs or money market fund yields, as both use the same 360-day actual convention.
- ✓The Effective Annual Yield is the best measure for long-term compounding analysis — use it when constructing a T-Bill laddering strategy.
- ✓T-Bill discount income is exempt from state and local taxes; always calculate the after-tax BEY when comparing to taxable instruments like CDs.
- ✓For 52-week T-Bills, the BEY is meaningfully higher than the simple annualized return due to the semiannual compounding adjustment in the formula.
- ✓Monitor the bid-to-cover ratio in Treasury auctions: a ratio above 3.0x typically signals strong demand and can slightly depress yields at upcoming auctions.
- ✓Build a T-Bill ladder by staggering 4-week, 8-week, and 13-week bills to balance yield optimization with regular liquidity windows.
- ✓The spread between EAY and BDY widens as yields rise — at 5% levels, the spread can exceed 20 basis points, making yield measure selection more important.
Frequently Asked Questions
Sources & References
Last updated: 2026-06-05
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Sources
- •Reserve Bank of India (RBI) — Financial regulations, lending rates, and monetary policy guidelines. rbi.org.in
- •Consumer Financial Protection Bureau (CFPB) — Consumer finance guidelines, mortgage and loan disclosure standards. consumerfinance.gov
- •Securities and Exchange Board of India (SEBI) — Investment and securities market regulations. sebi.gov.in
- •Investopedia — Financial formulas, definitions, and educational content. investopedia.com
For a complete list of all references used across the site, visit our full sources page.
Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
Formula Source: Fundamentals of Financial Management
by Brigham & Houston