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 treasury bond price? ›

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 do you understand Treasury bonds? ›

We sell Treasury Bonds for a term of either 20 or 30 years. Bonds pay a fixed rate of interest every six months until they mature. You can hold a bond until it matures or sell it before it matures.

What is the relationship between interest rates and bond prices? ›

Bond prices and interest rates have an inverse relationship. When interest rates rise, newly issued bonds offer higher yields, making existing lower-yielding bonds less attractive, which decreases their prices.

How do you calculate interest 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 bond prices? ›

Understanding bond market prices

For example, if a bond is quoted at 99 in the market, the price is $990 for every $1,000 of face value and the bond is said to be trading at a discount. If the bond is trading at 101, it costs $1,010 for every $1,000 of face value and the bond is said to be trading at a premium.

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 do Treasury bond prices work? ›

When a Treasury bond is issued, the coupon rate stays fixed for the life of the bond, but the bond's price can change as it's traded in the market. If the bond price goes up, then its yield goes lower, even though the coupon rate remains the same.

How to calculate Treasury bond yield? ›

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 do Treasury bond quotes work? ›

Face Value Quotes

7 For example, a quote of 95 means the bond is trading at 95% of its initial face value. Face value quotes allow you to easily calculate the bond's dollar price by multiplying the quote by the face value. This is the most common method for quoting U.S. Treasury bonds.

Is it better to buy bonds when interest rates are high or low? ›

purchase bonds in a low-interest rate environment.

The longer the bond's maturity, the greater the risk that the bond's value could be impacted by changing interest rates prior to maturity, which may have a negative effect on the price of the bond.

Do you buy bonds when interest rates are low? ›

Along with generating a larger income stream, such bonds may be subject to less interest rate risk, as there may be a reduced chance of rates moving significantly higher from current levels. However, even when interest rates are low, bonds can still be appropriate for inclusion in a well-diversified portfolio.

Do higher interest rates mean higher bond prices? ›

Bond prices have an inverse relationship with interest rates. This means that when interest rates go up, bond prices go down and when interest rates go down, bond prices go up.

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.

What is the difference between a Treasury bill and a Treasury bond? ›

Key takeaways. Treasury bills have short-term maturities and pay interest at maturity. Treasury notes have mid-range maturities and pay interest every 6 months. Treasury bonds have long maturities and pay interest every 6 months.

How much can you make on a 3 month Treasury bill? ›

3 Month Treasury Bill Rate is at 5.26%, compared to 5.26% the previous market day and 5.00% 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.

How to calculate the present value of a bond? ›

The present value of a bond is calculated by discounting the bond's future cash payments by the current market interest rate. In other words, the present value of a bond is the total of: The present value of the semiannual interest payments, PLUS. The present value of the principal payment on the date the bond matures.

What is the formula for Treasury bond yield? ›

Yield is a figure that shows the return you get on a bond. The simplest version of yield is calculated by the following formula: yield = coupon amount/price. When the price changes, so does the yield.

What is the tbillprice formula in Excel? ›

The TBILLPRICE function in Excel is used to calculate the price of a Treasury bill or T-bill. Its syntax is as follows: TBILLPRICE(settlement, maturity, discount) - settlement: The date on which the T-bill is purchased. - maturity: The date on which the T-bill matures. - discount: The discount rate of the T-bill.

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