Finance calculators

Treasury Bill Calculator

Updated Aug 15, 2026 By Jehan Wadia
Rate Formulas
Dates & Term
The date your funds are settled and the investment begins. This may differ from the purchase date.
The date the bill reaches full face value.
Calendar days between the value date and maturity date.
Quick-select standard tenor
Investment Amount
$
The amount returned to you at maturity. The purchase price will be less than this amount. Minimum $1,000.
Equivalent to 10 T-Bill units
Calculation Mode
Mode: enter a discount rate and the calculator returns the price to pay.
Interest Rate / Discount Rate / Average Yield
Rate Source
Choosing "Other" switches to the custom rate field.
Display Options
Result Decimal Precision
Calculating…

Maturity Value (amount you receive)
$10,000.00
on Nov 14, 2026 · 91 days
Purchase Price Today
$9,873.61
Interest earned: $126.39
Results Summary
Face Value The par value of the bill — the gross amount paid to you on the maturity date. $10,000.00
Days to Maturity Calendar days between the value date and the maturity date. Discount pricing uses a 360-day year; yields use 365. 91
Maturity Date The date the bill matures and the face value is repaid in full. Nov 14, 2026
Price Paid (Purchase Price) What you pay today. T-Bills are sold at a discount to face value — the discount is your interest. $9,873.61
Total Interest Earned (Profit) Face value minus the price paid — the whole return on a T-Bill, paid as a discount rather than coupons. $126.39
Return on Investment The holding-period return: profit divided by the price paid, not annualized. 1.28%
Discount Rate (% p.a.) The bank discount yield: the discount measured against face value and annualized on a 360-day year. This is the quoted rate. 5.00%
Investment Yield / BEY (% p.a.) Bond equivalent yield: profit measured against what you actually paid, annualized on a 365-day year. Always higher than the discount rate. 5.13%
Effective Annual Yield (% p.a.) The compounded annual return assuming the proceeds are reinvested at the same rate for a full year. 5.23%
Discount from Face Value The purchase price expressed as a percentage of face value. 98.74% of face
Earnings Breakdown
Show / hide the decomposition of your total at maturity
Amount Invested$9,873.61
Interest / Discount Earned$126.39
Total at Maturity$10,000.00
Invested 98.74% Interest 1.26%
Step-by-Step Solution
Same Face Value Across Standard Tenors

Informational comparison — your face value at the same discount rate over each standard tenor.

Comparison of price paid, interest earned, discount rate and investment yield across standard Treasury bill tenors
Tenor Days Price Paid Interest Earned Discount Rate Investment Yield

Introduction

A Treasury bill (T-Bill) is a short-term loan you make to the government. You buy it for less than it is worth, and at the end of the term you get the full amount back. That gap is your profit. T-Bills do not pay interest along the way, so the discount is the interest.

This Treasury Bill Calculator does the math for you. Enter your value date, maturity date, face value, and the discount rate. The calculator shows the price you pay today, the interest you earn, and the total you get at maturity.

You can also work backward. If you already know the price you paid, switch modes and the tool finds the discount rate for you.

The results include four key numbers:

  • Purchase price — what you pay today.
  • Interest earned — face value minus the price.
  • Discount rate — the quoted rate, based on face value and a 360-day year.
  • Investment yield (BEY) — your true return, based on what you really paid and a 365-day year.

You also get an effective annual yield, a step-by-step solution, charts, and a table that compares the standard 4-week, 13-week, 26-week, and 52-week terms. Use it to compare T-Bill options and see exactly how much you will make before you invest. For longer-dated government debt, switch to the Treasury Bond Calculator or the Savings Bond Calculator.

How to use our Treasury Bill Calculator

Enter your dates, your face value, and either a discount rate or the price you paid. The calculator shows your purchase price, interest earned, days to maturity, discount rate, investment yield (BEY), effective annual yield, and a step-by-step solution.

Value Date: Pick the day your money settles and the T-Bill starts. This can be later than the day you buy it.

Maturity Date: Pick the day the bill pays out. It must come after the value date.

Days to Maturity: This box fills in on its own. It counts the calendar days between your two dates. You can double-check any span with the Date Duration Calculator or the Days Calculator.

Quick-select standard tenor: Tap 4, 13, 26, or 52 weeks to set the maturity date fast from your value date.

Face Value: Type the amount you get back at maturity. The smallest amount is $1,000, and the tool shows how many $1,000 T-Bill units that equals.

Calculation Mode: Choose "Calculate Purchase Price" if you know the rate. Choose "Calculate Discount Rate" if you know the price you paid.

Price Paid: Only shows in the second mode. Type what you pay today. It must be less than the face value.

Rate Source: Choose a preset published rate or pick "Use custom rate" to type your own.

Published Discount Rate: Pick a rate from the list, like 5.00%. Choose "Other" to switch to the custom box.

Custom Rate: Type the yearly discount rate as a percent, such as 5.25. If you only know a dollar return and want to solve for the rate instead, the interest rate calculator can help.

Result Decimal Precision: Choose 2, 3, 4, or 5 decimals for how exact your results look.

Calculate and Reset: Click Calculate to see your results, charts, and math steps. Click Reset to start over with the default values.

What Is a Treasury Bill?

A Treasury bill, or T-Bill, is a short-term loan you make to the government. You buy the bill for less than it is worth, and the government pays you the full value when the bill matures. That gap is your profit. T-Bills do not pay interest every month or year like a bond does. All of your return comes from the discount you get at the start. Coupon-paying bonds work differently — see the Bond Calculator and Bond Yield Calculator for that side of the market.

How T-Bill Pricing Works

Every T-Bill has a face value, which is the amount you get back at maturity. You pay a lower price today, called the purchase price. The size of that discount depends on two things: the discount rate and the number of days until maturity. A higher rate or a longer term means a bigger discount and a lower price.

Here is the basic math:

  • Purchase Price = Face Value × (1 − (Rate × Days ÷ 360))
  • Interest Earned = Face Value − Purchase Price

Example: a $10,000 bill at a 5% discount rate for 91 days costs about $9,873.61. You earn $126.39 when it matures. This is a discounting exercise at heart, so the Present Value Calculator and Future Value Calculator handle the same idea for other cash flows.

Common T-Bill Terms

Treasury bills are sold in standard lengths, called tenors. The most common ones are:

  • 4 weeks (28 days)
  • 13 weeks (91 days)
  • 26 weeks (182 days)
  • 52 weeks (364 days)

Bills are usually sold in units of $1,000, so a $10,000 face value equals 10 units.

Discount Rate vs. Investment Yield

These two numbers sound alike but are not the same, and mixing them up is a common mistake.

The discount rate is the quoted rate. It measures your profit against the face value and uses a 360-day year. The investment yield, also called the bond equivalent yield or BEY, measures your profit against the money you actually paid and uses a 365-day year. Because you pay less than face value, the investment yield is always higher than the discount rate. The investment yield is the better number to use when you compare a T-Bill to a savings account or a CD — run the alternatives through the CD Calculator, the HYSA Calculator, or the Money Market Calculator.

The effective annual yield goes one step further. It shows what you would earn in a year if you kept buying new bills at the same rate and let your profit compound. The APY Calculator and the Compound Interest Calculator apply the same compounding logic to deposits and longer holdings, and the Effective Interest Rate Calculator converts between quoted and effective rates.

Value Date and Maturity Date

The value date is the day your money settles and the investment starts. This can be a day or two after you buy. The maturity date is the day you get the full face value back. The days between these two dates drive the whole calculation, so getting them right matters. If you are counting forward from a settlement date, the Days From Date Calculator and the Business Days Calculator are handy companions.

Why People Buy T-Bills

T-Bills are backed by the government, so they carry very low credit risk. They are short, so your money is not tied up long. You know exactly how much you will get and when. In many places, the interest is free from state and local income tax, though federal tax still applies. Check the rules where you live, and estimate the federal bite with the Income Tax Calculator or the Marginal Tax Rate Calculator.

The trade-off is that returns are modest. T-Bills are a place to park cash safely, not a way to grow wealth fast. Many people use them for an emergency fund or short-term savings goals, while longer-horizon money goes into the Investment Calculator or an Index Fund Calculator plan. If you sell before maturity, the price you get depends on market rates at that time, and you could get back less than you expected. To measure a completed T-Bill against other holdings, the ROI Calculator and CAGR Calculator put everything on the same footing.

Key point: Always compare a T-Bill using its investment yield, not its discount rate. The discount rate makes the return look smaller than it really is.

Formulas used

Days to Maturity
d = \text{Maturity Date} - \text{Value Date}
Purchase Price from Discount Rate
P = F\left(1 - \frac{r \times d}{360}\right)
Discount Rate from Price Paid
r = \frac{F - P}{F} \times \frac{360}{d} \times 100
Interest Earned (Discount)
I = F - P
Return on Investment (Holding Period)
\text{ROI} = \frac{I}{P} \times 100
Investment Yield / Bond Equivalent Yield
Y = \frac{I}{P} \times \frac{365}{d} \times 100
Effective Annual Yield
EAY = \left[\left(1 + \frac{I}{P}\right)^{365/d} - 1\right] \times 100
Price as Percentage of Face Value
\text{Price \%} = \frac{P}{F} \times 100

Frequently asked questions

Why does the calculator use 360 days for the price but 365 days for the yield?

That is the market standard. The discount rate that sets the price of a T-Bill is quoted on a 360-day year. The investment yield is built to compare against bonds and bank accounts, which use a 365-day year.

Our Treasury Bill Calculator follows both rules, so your price and your yield both match official numbers.

Why does the Days to Maturity box show a dash?

It means one of your dates is missing or wrong. The maturity date must come after the value date.

Fix the dates, or tap a quick-select button (4, 13, 26, or 52 weeks) to set the maturity date for you.

Can I enter a term that is not 4, 13, 26, or 52 weeks?

Yes. Just type any maturity date you want. The calculator counts the real calendar days between your two dates and prices the bill on that number.

The quick-select buttons are only shortcuts for the four standard tenors.

Why did the calculator reject my price paid?

The price you pay for a T-Bill must be less than the face value. That gap is your interest.

If you typed a price equal to or above face value, change it to a smaller number and calculate again.

What does 10 T-Bill units mean?

T-Bills are sold in $1,000 pieces. A $10,000 face value equals 10 units. A $25,000 face value equals 25 units.

The calculator shows the unit count under the face value box so you can check your order size fast.

Does this calculator include taxes or broker fees?

No. The results show your gross return before tax and before any fees your broker charges.

T-Bill interest is taxed by the federal government but is usually free from state and local income tax. Check your own tax rules.

Will my results match the Treasury auction exactly?

Very close, but not always to the penny. Auctions round the price to six decimal places per $100 of face value, and the final rate is set on auction day.

Use this tool to plan and compare. Use your official confirmation for the exact amount.

What is the difference between ROI and investment yield in my results?

ROI is your plain profit over the term. It is not stretched to a full year.

Investment yield takes that same profit and turns it into a yearly rate. For a 91-day bill, the yield is about four times the ROI.

Why is my effective annual yield higher than my investment yield?

The effective annual yield assumes you keep rolling your money into new bills all year, so your profit earns profit. That is compounding.

The investment yield does not compound. It is a simple yearly rate.

Why does a longer T-Bill cost less today?

Because your money is tied up longer, so the discount is bigger. At the same rate, a 364-day bill costs less than a 28-day bill with the same face value.

You pay less up front and earn more interest, but you wait longer to get paid.

What does the tenor comparison table show?

It takes your face value and your rate, then prices the same bill over all four standard terms: 4, 13, 26, and 52 weeks.

Your chosen term is highlighted. Use the table to see how much more you earn by locking money up longer.

What is the chart in the Earnings Breakdown showing?

It shows your value growing in a straight line from the price you paid up to the face value on maturity day.

T-Bills do not pay cash along the way, so the line is just the value building up until payout.

Can I use this to compare a T-Bill with a CD or savings account?

Yes, but compare the right numbers. Use the investment yield or the effective annual yield, not the discount rate.

The discount rate makes your return look smaller than it really is, so it is not a fair match against a bank APY.

What if I sell the T-Bill before it matures?

This calculator assumes you hold to maturity. If you sell early, your price depends on market rates that day.

If rates went up, you may get less than you hoped. If rates dropped, you may get more.

Does the value date have to be today?

No. You can set any date. Use a past date to check a bill you already own, or a future date to plan an upcoming settlement.

The value date is when your money settles, which is often a day or two after you buy.

How do I find the discount rate to enter?

Check the latest auction results or the rate your bank or broker quotes. Pick the closest preset from the list, or choose "Use custom rate" and type the exact number.

Enter it as a percent per year, like 5.25 for 5.25%.

Why should I change the decimal precision?

Two decimals work fine for dollars. Pick 4 or 5 decimals when you want to see small rate differences or check the math against a broker statement.

Changing precision updates your results right away. It does not change the math, only how much detail you see.

Can I use this calculator for T-Bills outside the United States?

Yes, if your country uses the same discount pricing on a 360-day year. Many do.

Some markets quote a true yield or use a 365-day basis instead. Check your local rules before you rely on the price.

Is the $1,000 minimum a rule or just a setting?

It matches how T-Bills are actually sold, in $1,000 pieces. So the calculator asks for at least $1,000 of face value.

For the cleanest results, enter face values in whole $1,000 steps, like $5,000 or $25,000.