Treasury Yield

Treasury Yield

Treasury yield is the return on investment, expressed as a percentage, on the U.S. government's debt obligations. Each of the Treasury securities (T-bonds, T-bills, and T-notes) has a different yield; longer-term Treasury securities usually have a higher yield than shorter-term Treasury securities. The types of debt instruments that the government issues include Treasury bills (T-bills), Treasury notes (T-notes) and Treasury bonds (T-bonds), which come in different maturities up to 30 years. The formula for calculating the Treasury yield on notes and bonds held to maturity is: **Treasury Yield = \[C + ((FV - PP) / T)\] ÷ \[(FV + PP)/2\]** where C= coupon rate FV = face value PP = purchase price T = time to maturity If a Treasury is purchased at par, then its yield equals its coupon rate; if at a discount, yield will be higher than coupon rate and yield will be lower than coupon rate if purchased at a premium.

The Treasury yield is the interest rate that the U.S. government pays to borrow money for different lengths of time.

What Is the Treasury Yield?

Treasury yield is the return on investment, expressed as a percentage, on the U.S. government's debt obligations. Looked at another way, the Treasury yield is the effective interest rate that the U.S. government pays to borrow money for different lengths of time.

Treasury yields don't just influence how much the government pays to borrow and how much investors earn by buying government bonds. They also influence the interest rates that individuals and businesses pay to borrow money to buy real estate, vehicles, and equipment. Treasury yields also tell us how investors feel about the economy. The higher the yields on long-term U.S. Treasuries, the more confidence investors have in the economic outlook. But high long-term yields can also be a signal of rising inflation in the future.

The Treasury yield is the interest rate that the U.S. government pays to borrow money for different lengths of time.
Each of the Treasury securities (T-bonds, T-bills, and T-notes) has a different yield; longer-term Treasury securities usually have a higher yield than shorter-term Treasury securities.
Treasury yields reflect how investors feel about the economy; the higher the yields on long-term instruments, the more optimistic their outlook.

Understanding the Treasury Yield

When the U.S. government needs to raise capital to source projects, such as building new infrastructure, it issues debt instruments through the U.S. Treasury. The types of debt instruments that the government issues include Treasury bills (T-bills), Treasury notes (T-notes) and Treasury bonds (T-bonds), which come in different maturities up to 30 years. The T-bills are short-term bonds that mature within a year, the T-notes have maturity dates of 10 years or less, and the T-bonds are long-term bonds that offer maturities of 20 and 30 years.

Factors That Drive the Treasury Yield

Treasuries are considered to be a low-risk investment because they are backed by the full faith and credit of the U.S. government. Investors that purchase these Treasuries loan the government money. The government, in turn, makes interest payments to these bondholders as compensation for the loan provided. The interest payments, known as coupons, represent the cost of borrowing to the government. The rate of return or yield required by investors for loaning their money to the government is determined by supply and demand.

Treasuries are issued with a face value and a fixed interest rate and are sold at the initial auction or in the secondary market to the highest bidder.

When there is a lot of demand for the securities, the price is bid up past its face value and trades at a premium. This lowers the yield that the investor will get since the government only repays the instrument's face value on the maturity date. For example, an investor that purchases a bond for $10,090 will be repaid only the face value of $10,000 when it matures. When the Treasury yield falls, lending rates for consumers and businesses also fall.

If the demand for Treasuries is low, the Treasury yield increases to compensate for the lower demand. When demand is low, investors are only willing to pay an amount below par value. This increases the yield for the investor since he can purchase the bond at a discount and be repaid the full face value on the maturity date. When Treasury yield increases, interest rates in the economy also increase since the government must pay higher interest rates to attract more buyers in future auctions.

Treasury yields can go up if the Federal Reserve increases its target for the federal funds rate (in other words, if it tightens monetary policy), or even if investors merely expect the fed funds rate to go up.

Each of the Treasury securities has a different yield. Under normal circumstances, longer-term Treasury securities have a higher yield than shorter-term Treasury securities. Since the maturities on Treasury bills are very short, they typically offer the lowest yield compared to the T-notes and T-bonds. As of Feb. 7, 2020, the Treasury yield on a 3-month T-bill is 1.56%; the 10-year note is 1.59%, and the 30-year bond is 2.05%. The U.S. Treasury publishes the yields for all of these securities daily on its website.

When short-term debt interest rates become higher than long-term debt rates, the situation is characterized as an inverted yield curve.

Yield on Treasury Bills

While Treasury notes and bonds offer coupon payments to bondholders, the T-bill is similar to a zero-coupon bond that has no interest payments but is issued at a discount to par. An investor purchases the bill at a weekly auction at less than face value and redeems it at maturity for face value. In this case, the difference between the auction price and face value is the interest which can be used to calculate the Treasury yield. The Treasury Department uses two methods to calculate the yield on T-bills with maturities of less than a year: the discount method and the investment method.

Under the discount yield method, the return as a percent of the face value, not the purchase value, is calculated. For example, an investor that purchases a 90-day T-bill for $9,800 per $10,000 face value will have a yield of:

Discount Yield = [($10,000 - $9,800) / $10,000] x (360/91) = 7.91%

Under the investment yield method, the Treasury yield is calculated as a percent of the purchase price, not the face value. Following our example above, the yield under this method is:

Investment Yield = [($10,000 - $9,800) / $9,800] x (365/91) = 8.19%

Note that the number of days per year used under both methods is different. The discount method uses 360, which is the number of days used by banks to determine short-term interest rates. The investment yield uses the number of days of a calendar year, which is 365 or 366. Given that the purchase price of a Treasury bill is always less than the face value, the discount method tends to understate the yield.

Yield on Treasury Notes and Bonds

The rate of return for investors holding Treasury notes and Treasury bonds includes the coupon payments that they receive semi-annually and the face value of the bond that they are repaid at maturity. T-notes and bonds can be purchased at par, at a discount, or at a premium, depending on the demand and supply of these securities at auction or in the secondary markets. If a Treasury is purchased at par, then its yield equals its coupon rate; if at a discount, yield will be higher than coupon rate and yield will be lower than coupon rate if purchased at a premium.

The formula for calculating the Treasury yield on notes and bonds held to maturity is:

Treasury Yield = [C + ((FV - PP) / T)] ÷ [(FV + PP)/2]

where C= coupon rate

FV = face value

PP = purchase price

T = time to maturity  

The yield on a 10-year note with 3% coupon purchased at a premium for $10,300 and held to maturity is:

Treasury Yield = [$300 + (($10,000 - $10,300) / 10)] ÷ [($10,000 + $10,300)/2]

= $270 / $10,150 = 2.66%

Because of their low risk, Treasuries have a low return compared to many other investments. Very low Treasury yields, like the ones observed in 2020 thus far, can drive investors into riskier investments, such as stocks, which have higher returns.

Related terms:

10-Year Treasury Note

A 10-year Treasury note is a debt obligation issued by the United States government that matures in 10 years.  read more

30-Year Treasury

The 30-Year Treasury, formerly the bellwether U.S. bond, is a U.S. Treasury debt obligation that has a maturity of 30 years. read more

At a Premium

At a premium is a phrase attached to a variety of situations where a current value or transactional value of an asset is above its fundamental value. read more

At Par

At par means that a bond, preferred stock, or other debt instrument is trading at its face value. It will normally trade above par or under par. read more

One-Year Constant Maturity Treasury (CMT)

The one-year constant maturity Treasury is the interpolated one-year yield of the most recently auctioned 4-, 13-, and 26-week U.S. Treasury bills. read more

Coupon

A coupon is the annual interest rate paid on a bond, expressed as a percentage of the face value, also referred to as the "coupon rate." read more

Coupon Equivalent Rate (CER)

The coupon equivalent rate (CER) is an alternative calculation of coupon rate used to compare zero-coupon and coupon fixed-income securities. read more

Face Value

Face value is the nominal value or dollar value of a security stated by the issuer, also known as "par value" or simply "par." read more

Federal Funds Rate

The federal funds rate is the target interest rate set by the Fed at which commercial banks borrow and lend their excess reserves to each other overnight. read more

Federal Reserve System (FRS)

The Federal Reserve System is the central bank of the United States and provides the nation with a safe, flexible, and stable financial system. read more