### Are the CMT rates the same as the yields on actual Treasury securities?

CMT yields are read directly from the Treasurys daily yield curve, which is derived by using actual secondary market yields on Treasury securities. However, CMT rates are read from fixed, constant maturity points on the curve and may not match the exact yield on any one specific security. For more information on the daily Treasury yield curve, see the link to our Treasury Yield Curve Methodology page.

### Are the CMT yields annual yields?

CMT yields are read directly from the Treasurys daily yield curve and represent bond equivalent yields for securities that pay semiannual interest, which are expressed on a simple annualized basis. This is consistent with market practices for quoting bond yields in the market and makes the CMT yields directly comparable to quotations on other bond market yields. As such, these yields are not effective annualized yields or Annualized Percentage Yields (APY), which include the effect of compounding. To convert a CMT yield to an APY you need to apply the standard financial formula:

APY = (1 + I/2)^{2}-1

Where i is the CMT rate expressed in decimals. For example, if the 5-year CMT rate was 8.00%, then the annualized effective yield, or APY, would be:

APY = (1 + .0800/2)^{2}-1

APY = 1.081600 -1

APY = 0.081600

And, expressed as a percent:

APY = 8.16%

### Are the CMT rates used to set Adjustable Rate Mortgage (ARM) rates?

Treasury does not make the determination as to which, if any, CMT rate index is used to set an ARM rate. ARM rates are set by the financial institution that made or holds the mortgage. If you have an ARM, you should ask your lender if a Treasury CMT index rate is used to adjust your ARM. ARM holders can find an abundant source of information on how these rates are adjusted by searching the internet for ARM Indexes and CMT rates.

### What is the difference between the Daily Treasury Long-Term Rates and the Daily Treasury Yield Curve Rates?

The Daily Treasury Long-Term Rates are simply the arithmetic average of the daily closing bid yields on all outstanding fixed coupon bonds (i.e., inflation indexed bonds are excluded) that are neither due nor callable for at least 10 years as of the date calculated. As of February 15, 2008, there were 34 bonds included in the calculation of this average rate. The Daily Treasury Yield Curve Rates are specific rates read from the daily Treasury yield curve at the specific constant maturity indicated. Thus a yield curve rate is the single yield at a specific point on the yield curve. For example, the 20-year daily yield curve rate (i.e., the 20-year CMT) represents the yield for a new theoretical 20-year bond as of that date.

### These tables only show daily yields, how do I get the weekly, monthly, and/or annual averages?

Treasury does not publish the weekly, monthly or annual averages of these yields. However, the Board of Governors of the Federal Reserve System also publishes these rates on our behalf in their Statistical Release H.15. The web site for the H.15 includes links that have the weekly, monthly and annual averages for the CMT indexes. Please go to the Federal Reserve website for the current daily and weekly averages and links to the monthly and annual averages.

### Why do longer CMT maturities sometimes have yields lower than the shorter maturities (i.e., inverted yield curve rates)?

The yield curve and CMT yields reflect actual bond market activity and current economic conditions. Market conditions can be highly volatile and include investors beliefs as to the direction of future interest rates as well as monetary policy that may be actively pursued by the Federal Reserve. As such, short term rates can sometimes exceed longer term rates. In the past, an inverted yield curve was thought to be an indicator of an imminent recession; however, recent economic history has tended to discount that theory.

### Are the yield curve and the CMT rates an indicator of future rates?

The yield curve and the CMT rates merely indicate what rates were in the past and what they are now. Treasury recognizes that many researches use the CMT rates to develop complex yield analyses and attempt to project these rates into the future. However, future economic and monetary policies that impact the yield curve cannot be accurately forecast, and thus attempts to forecast future CMT rates must be considered risky, at best. Treasury does not project future interest rates and neither endorses nor discourages work by other researchers in their attempts to project rates.

### Does the yield curve use a day count based on actual days in a year or a 30/360 year basis?

Yields on all Treasury securities are based on actual day counts on a 365- or 366-day year basis, not a 30/360 basis, and the yield curve is based on securities that pay semiannual interest. All yield curve rates are considered bond-equivalent yields.

### Does the yield curve assume semiannual interest payments or is it a zero-coupon curve?

The yield curve is based on securities that pay interest on a semiannual basis, the yields are considered bond-equivalent yields and the yield curve is considered a Par Yield Curve. Treasury does not create or publish daily zero-coupon curve rates.

### Does the yield curve only assume semiannual interest payment from 2-years out (i.e., since that is the shortest maturity coupon Treasury issue)?

No. All yields on the yield curve are on a bond-equivalent basis. Therefore the yields at any point on the yield curve are consistent with a semiannual coupon security with that amount of time remaining to maturity.

For more information regarding these statistics contact the Office of Debt Management by email at debt.management@treasury.gov.

For other Public Debt information contact (202) 504-3350.