Understanding Pricing and Interest Rates — TreasuryDirect (2024)

This page explains pricing and interest rates for the five different Treasury marketable securities.

For information on recent auctions, see Results of recent auctions

Bills

Bills are short-term securities that mature in one year or less. They are sold at face value (also called par value) or at a discount. When they mature, we pay you the face value.

The difference between the face value and the discounted price you pay is "interest."

To see what the purchase price will be for a particular discount rate, use the formula:

  • Price = Face value (1 – (discount rate x time)/360)

Example:

  • A $1,000 26-week bill sells at auction for a discount rate of 0.145%.
    • Price = 1000 (1 – (.00145 x 182)/360) = $999.27
  • The formula shows that the bill sells for $999.27, giving you a discount of $0.73.
    When you get $1,000 after 26 weeks, you have earned $0.73 in "interest."

Bonds and Notes

Bonds are long-term securities that mature in 20 or 30 years.

Notes are relatively short or medium-term securities that mature in 2, 3, 5, 7, or 10 years.

Both bonds and notes pay interest every six months. The interest rate for a particular security is set at the auction.

The price for a bond or a note may be the face value (also called par value) or may be more or less than the face value. The price depends on the yield to maturity and the interest rate.

If the yield to maturity is the price of the bond or note will be
greater than the interest rate less than par value
equal to the interest rate par value
less than the interest rate more than par value

The "yield to maturity" is the annual rate of return on the security.

Here are examples from recent auctions:

Type of security Time to maturity High yield at auction Interest rate set at auction Price
Bond 20 year 1.850% 1.750% 98.336995
Note 7 year 1.461% 1.375% 99.429922

In both examples, the yield is higher than the interest rate. Therefore, the price was lower than par value.

During the life of the bond or note, you earn interest at the set rate on the par value of the bond or note. The interest rate set at auction will never be less than 0.125%.

If you still own the bond after 20 years or the note after seven years, you get back the face value of the security. That means you will have also earned $1.66 for every $100 par value of your bond and $0.57 for every $100 par value of your note.

TIPS

Treasury Inflation-Protected Securities (TIPS) are available both as medium and long-term securities. They mature in 5, 10, or 30 years.

Like bonds and notes, the price and interest rate are determined at the auction.

The interesting aspect of TIPS, that differs from bonds and notes, is that the principal goes up and down with inflation and deflation. While the interest rate is fixed, the amount of interest you get every six months may vary due to any change in the principal.

To calculate the inflation-adjusted interest you will get, near the time your interest payment is due, follow these steps:

  1. Locate your TIPS on the TIPS Inflation Index Ratios page.
  2. Follow the link and locate the Index Ratio that corresponds to the interest payment date for your security.
  3. Multiply your original principal amount by the Index Ratio. (this is your inflation-adjusted principal).
  4. Now, multiply your inflation-adjusted principal by half the stated interest (coupon) rate on your security.

The resulting number is your semi-annual interest payment.

Example:

  • You have $1,000 invested in a 5-year TIPS with an interest rate of 0.125%.
    You will get an interest payment next week and want to know how much it will be.
  • When you look up the Index Ratio for your TIPS, you see it is 1.01165.
    Multiplying your $1,000 by 1.01165, you get your adjusted principal: $1,011.65.
  • For this six-month payment, you get half of 0.125% (your annual interest rate), which is 0.0625%.
  • Turn the percent into a decimal by moving the decimal point two places to the left: 0.000625.
  • Now, multiply the adjusted principal by the half-year interest rate: In this example, multiplying $1,011.65 times 0.000625 gives you your expected interest payment: $0.63.

Floating Rate Notes (FRNs)

FRNs are relatively short-term investments that mature in two years.

The price of an FRN is determined at auction. The price may be greater than, less than, or equal to the FRN's par amount.

The interest rate of an FRN changes, or “floats,” over the life of the FRN.

The interest rate is the sum of two parts: an index rate and a spread.

  • Index rate - The index rate of your FRN is tied to the highest accepted discount rate of the most recent 13-week Treasury bill. We auction the 13-week bill every week, so the index rate of an FRN is reset every week. You can see the daily index for current FRNs.
  • Spread - The spread is a rate we apply to the index rate. The spread stays the same for the life of an FRN. The spread is determined at auction when the FRN is first offered. The spread is the highest accepted discount margin in that auction.

The spread plus the index rate equals the interest rate.

We apply the interest rate to an FRN's par amount daily. The aggregate interest earned to date on an FRN accumulates every day.

For more detailed formulas and useful tables

See The Code of Federal Regulations, §356.20, Appendix B

Understanding Pricing and Interest Rates — TreasuryDirect (2024)

FAQs

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).

How to read Treasury auction results? ›

The auction prices show how much the buyers paid for the bonds compared to the market price before the auction ended (the “snap price”). If the buyers paid more than the snap price, they overbid. If they paid less, they underbid. Overbidding means high demand and underbidding means low demand for the bonds.

How do Treasury bonds work with interest rates? ›

During the life of the bond or note, you earn interest at the set rate on the par value of the bond or note. The interest rate set at auction will never be less than 0.125%. If you still own the bond after 20 years or the note after seven years, you get back the face value of the security.

What is the difference between interest rate and yield on treasury bills? ›

Key Takeaways. Yield is the annual net profit that an investor earns on an investment. The interest rate is the percentage charged by a lender for a loan. The yield on new investments in debt of any kind reflects interest rates at the time they are issued.

How to calculate interest rate? ›

To calculate interest rates, use the formula: Interest = Principal × Rate × Tenure. This equation helps determine the interest rate on investments or loans. What are the advantages of using a loan interest rate calculator? A loan interest rate calculator offers several benefits.

How do you read a Treasury bond price quote? ›

Unlike corporate bonds, which are quoted in eighths of a percent, government securities are split into units of 32nds. A price quote of 98-11 refers to a price of 98 11/32% of par value, or 98.34375% of par. If the Treasury bond had a par value of $1,000, then the bond would sell for $983.44.

How to know if a T bill is successful? ›

For individual investors, if your application for the T-bills was successful, the T-bills holding will be reflected in your respective accounts after the issuance date. For cash applications: You can check your CDP notification statement via CDP Internet after 6pm on issuance date.

How do treasury bonds work for dummies? ›

A Treasury bond, or "T-bond," is a debt issued by the U.S. government to raise money. When you buy a T-bond, you lend the federal government money, and it pays you a stated rate of interest until the loan comes due.

How to price a Treasury bond? ›

Calculating a Bond's Dollar Price

A bond is simply a loan, after all, and the principal balance, or par value, is the loan amount. 1 So, if a bond is quoted at $98.90 and you were to buy a $100,000 two-year Treasury bond, you would pay ~$98,900. In the example above, the two-year Treasury is trading at a discount.

What happens to Treasury bond prices when interest rates rise? ›

Bonds have an inverse relationship to interest rates. When the cost of borrowing money rises (when interest rates rise), bond prices usually fall, and vice-versa.

How much will I make on a 3 month treasury bill? ›

3 Month Treasury Bill Rate is at 5.25%, compared to 5.26% the previous market day and 5.03% last year. This is higher than the long term average of 4.19%. The 3 Month Treasury Bill Rate is the yield received for investing in a government issued treasury security that has a maturity of 3 months.

Is there a downside to I bond? ›

The cons of investing in I-bonds

There's actually a limit on how much you can invest in I-bonds per year. The annual maximum in purchases is $10,000 worth of electronic I-bonds, although in some cases, you may be able to purchase an additional $5,000 worth of paper I-bonds using your tax refund.

How much will 100k be worth in 30 years? ›

Answer and Explanation: The amount of $100,000 will grow to $432,194.24 after 30 years at a 5% annual return. The amount of $100,000 will grow to $1,006,265.69 after 30 years at an 8% annual return.

How much interest on a 3 month T-bill? ›

3 Month Treasury Rate is at 5.45%, compared to 5.46% the previous market day and 5.12% last year. This is higher than the long term average of 2.71%. The 3 Month Treasury Rate is the yield received for investing in a US government issued treasury security that has a maturity of 3 months.

What is the interest rate on treasury bills? ›

Treasury securities
This WeekMonth Ago
Two-Year Treasury Constant Maturity4.864.7
Five-Year Treasury Constant Maturity4.634.35
91-day T-bill auction avg disc rate5.2555.23
One-Year CMT (Monthly)4.994.99
4 more rows

What is the interest rate on the 12 month T-bill? ›

Basic Info

1 Year Treasury Rate is at 5.17%, compared to 5.18% the previous market day and 4.77% last year.

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