How to Calculate the Percentage Return of a T-Bill | The Motley Fool (2024)

Since treasuries have become significantly more attractive over the past 18 months, it's important to know how to calculate the percentage return of a Treasury bill. You should also know how to compare them effectively against other types of securities.

Here, we'll go step-by-step through the Treasury bill calculations.

How to Calculate the Percentage Return of a T-Bill | The Motley Fool (1)

Image source: The Motley Fool

What is a Treasury bill?

What is a Treasury bill?

A Treasury bill is a short-term government bond with a maturity of less than one year. Treasury bills, or T-bills, pay no interest but are sold at a discount to face value. For example, a bill with a redemption value of $1,000 might sell for $985 at auction.

You won't receive ongoing interest payments, but at maturity, you will receive an amount reflecting a certain investment return. Unlike stocks, T-bill investments are backed by the full faith and credit of the United States government.

Step 1: Calculating T-Bill yield

Step 1: Calculate the Treasury bill's yield

First, gather some key information about the bill you're trying to analyze. This includes:

  • The bill's purchase price
  • The bill's purchase date
  • The bill's maturity date

For ease of calculation, the bill's par value is expressed as 100 in the annualized yield calculation, and the bill's purchase price is expressed as a number less than 100 to reflect the implied discount.

To calculate yield, subtract the bill's purchase price from its face value and then divide the result by the bill's purchase price. Finally, multiply your answer by 100 to convert it to a percentage. The image below provides a visual of this formula.

How to Calculate the Percentage Return of a T-Bill | The Motley Fool (2)

Image source: The Motley Fool

Step 2: Annualize the T-Bill's yield

Step 2: Annualize the Treasury bill's yield

After you've found the Treasury bill's yield, multiply it by 365 and divide the result by the bill's days to maturity. The result will provide an annualized yield that will allow you to compare bills and other securities more easily.

Step 3: An Example

Step 3: Run an example

Say you were evaluating a Treasury bill with a 26-week maturity and a price of $97.

First, to calculate the bond's yield, you'd subtract 97 from 100 and divide by 97. From there, you'd multiply by 100 to arrive at a yield of 3.09%.

To annualize the bill's yield, multiply 3.09% by 365, and then divide the result by 182 (the bill's number of days to maturity) to arrive at an annualized yield of 6.2%.

This may seem like an unrealistic yield, but since interest rates have risen in 2023, Treasury bill rates have begun to approach 6% for the first time in many years.

Related investing topics

The bottom line on T-bill returns

T-bills have only recently come back into focus after over a decade of minuscule returns. Today, they can make up a meaningful part of your portfolio, particularly if you're approaching or in retirement.

In 2023, it's key to understand how to calculate and annualize T-bill returns so you're able to make informed decisions for your portfolio. Take an active part in analyzing potential investments to create a financial plan that works for you.

The Motley Fool has a disclosure policy.

How to Calculate the Percentage Return of a T-Bill | The Motley Fool (2024)

FAQs

How to Calculate the Percentage Return of a T-Bill | The Motley Fool? ›

For instance, for a 26-week Treasury bill priced at 99, you'd start by taking 100-99 = 1 and then dividing 1 by 99 to get 0.010101. Then, multiply that number by 365 and divide by 26 x 7 or 182 days. The net result is 0.02025, or 2.025%.

How to calculate T-bill returns? ›

Calculating T-Bill Yields

T-bills are sold at a discount from their face value. Imagine the face value as the amount you'll get when the T-bill matures, and the purchase price as what you're paying for it now. The difference between these two amounts is your earnings or the interest.

How does Motley Fool calculate returns? ›

The total return is calculated using a time-weighted rate-of-return formula. The returns of the individual stocks are calculated using a simple average, excluding dividends. Dividends are included for both the total portfolio return and the benchmark, the S&P 500 Total Return Index.

How to calculate interest rate on a treasury bill? ›

Face Value Redemption and Interest Rate

For example, suppose an investor purchases a 52-week T-bill with a face value of $1,000. The investor paid $975 upfront. The discount spread is $25. After the investor receives the $1,000 at the end of the 52 weeks, the interest rate earned is 2.56% (25 / 975 = 0.0256).

What is the rate of return on the T-bill? ›

3 Month Treasury Bill Rate is at 4.94%, compared to 4.96% the previous market day and 5.31% last year. This is higher than the long term average of 4.19%.

How do you calculate percentage return on a Treasury bill? ›

To calculate yield, subtract the bill's purchase price from its face value and then divide the result by the bill's purchase price. Finally, multiply your answer by 100 to convert it to a percentage.

How do I calculate my return? ›

Key Takeaways. Return on investment (ROI) is an approximate measure of an investment's profitability. ROI is calculated by subtracting the initial cost of the investment from its final value, then dividing this new number by the cost of the investment, and finally, multiplying it by 100.

Are treasury bills better than CDs? ›

Choosing between a CD and Treasuries depends on how long of a term you want. For terms of one to six months, as well as 10 years, rates are close enough that Treasuries are the better pick. For terms of one to five years, CDs are currently paying more, and it's a large enough difference to give them the edge.

How is interest earned on T-bills? ›

T-bills don't pay interest in the same way as other Treasurys. Instead, you buy the bills at a discounted price and hold them until the end of the term. Once the term ends, or reaches maturity, you receive the face value.

Are treasury bill rates annualized? ›

Yes t-bill rates are annualized. T-bills are zero coupon bonds and all of the interest is therefore paid at maturity. They are discount instruments and you will receive face value at maturity which includes the interest.

How do you calculate the price of a T-bill? ›

As a simple example, say you want to buy a $1,000 Treasury bill with 180 days to maturity, yielding 1.5%. To calculate the price, take 180 days and multiply by 1.5 to get 270. Then, divide by 360 to get 0.75, and subtract 100 minus 0.75. The answer is 99.25.

Are Treasury bills taxed as capital gains? ›

Yes, Treasury bills are taxed at the federal level using your marginal rate. However, income earned from Treasury bills is not subject to state tax or local income taxes. Are Treasury bills taxed as capital gains? Normally no.

What is the yield of the T-bill monthly? ›

1 Month Treasury Rate is at 5.28%, compared to 5.30% the previous market day and 5.52% last year. This is higher than the long term average of 1.51%. The 1 Month Treasury Rate is the yield received for investing in a US government issued treasury bill that has a maturity of 1 month.

How do you earn a return on a T-bill? ›

Here's how it works:
  1. Purchase Price: You buy a 1-year T-bill with a face value of $1,000. ...
  2. Maturity Value: At the end of one year, the T-bill matures, and you receive the full face value of $1,000.
  3. Return: Your return on the investment is the difference between the face value and the purchase price.

How do you calculate market value of T-bills? ›

As a simple example, say you want to buy a $1,000 Treasury bill with 180 days to maturity, yielding 1.5%. To calculate the price, take 180 days and multiply by 1.5 to get 270. Then, divide by 360 to get 0.75, and subtract 100 minus 0.75. The answer is 99.25.

How much does a $1000 T-bill cost? ›

Treasury bills, or bills, are typically issued at a discount from the par amount (also called face value). For example, if you buy a $1,000 bill at a price per $100 of $99.986111, then you would pay $999.86 ($1,000 x . 99986111 = $999.86111). * When the bill matures, you would be paid its face value, $1,000.

How do you calculate yield on T-bill in Excel? ›

The TBILLYIELD Function[1] is categorized under Excel FINANCIAL functions. It will calculate the yield on a Treasury bill. In financial analysis, TBILLYIELD can be useful in calculating the yield on a Treasury bill when we are given the start date, end date, and price.

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