Why Do U.S. Treasury Bond Prices Fall When Yields Rise?

When Treasury yields rise, the market price of an existing fixed-rate Treasury generally falls.** The U.S. Treasury has not raised the interest payment on that security. Instead, a new buyer pays less for the same future coupon payments and principal repayment, so the yield calculated from the lower purchase price rises. If the price rises, the yield available to a new buyer generally falls.

This relationship helps explain why CPI, PMI, Federal Reserve expectations and Treasury auctions can matter to stocks, Treasury ETFs and contracts linked to those ETFs.

First, separate three different measures of return

Suppose a conventional fixed-rate U.S. Treasury security has a $1,000 face value and a 4% coupon rate. It pays $40 in interest each year, ordinarily in two $20 installments, and returns the $1,000 face value at maturity. Once issued, its coupon rate does not change with market trading; its price can. See the U.S. Treasury's explanation of pricing, interest rates and yields.

Measure	What question does it answer?	In this example
Coupon rate	How much annual interest is paid as a percentage of face value?	4%, or $40 per year
Current yield	How large is one year's coupon relative to today's purchase price?	At a $956.24 price: $40 ÷ $956.24 ≈ 4.18%
Yield to maturity (YTM)	What annualized yield is implied by today's price, all remaining coupons and the principal repaid at maturity?	At the same price, about 5% under the assumptions below

A 4% coupon rate, a current yield of about 4.18% and a 5% YTM can describe the same security at the same time. Current yield uses only coupon income. YTM also reflects the difference between the purchase price and the amount repaid at maturity.

Why does the price fall? A five-year example

Assume the security has exactly five years remaining, pays $20 at the end of each six-month period, and is bought immediately after a coupon payment. For clarity, exclude accrued interest, trading costs and taxes. If the YTM required by new buyers rises from 4% to 5%, the coupon remains fixed. The price must fall below $1,000 to offer the higher yield.

YTM required by a new buyer	Approximate bond price	Coupon rate
4%	$1,000.00	4%, unchanged
5%	$956.24	4%, unchanged
6%	$914.70	4%, unchanged

At the middle price, the buyer pays about $956.24, receives $200 in coupons over five years, and receives $1,000 at maturity. The approximately $43.76 gap between the purchase price and face value is also part of the return. Discounting the ten $20 coupons and final $1,000 payment at 2.5% per six months gives a present value of about $956.24. Under the bond market's semiannual quotation convention, that corresponds to a 5% nominal annual YTM. It does not mean $50 of cash coupon income is guaranteed each year. The U.S. Securities and Exchange Commission explains the inverse relationship between fixed-rate bond prices and market yields.

The rule to remember: When future cash flows are essentially fixed, paying less today raises the yield calculated from the purchase price.

So when a headline says investors are “reluctant to buy Treasuries,” the more precise point is often that there are too few buyers at the previous price. A lower price and higher yield can bring buyers back.

Who sets the coupon rate, and what is an auction yield?

The U.S. Treasury sells new marketable securities at auction. For coupon-paying notes and bonds, competitive bidders specify the yield they are willing to accept. The auction establishes the accepted yield and issue price; the coupon rate for a new issue is set in prescribed increments. Coupon rate, auction yield and issue price need not be the same number. See the Treasury's auction overview and pricing guide.

For example, if a hypothetical new issue clears at a 4.93% auction yield, its coupon rate could be 4.875%. An issue price below face value accounts for the difference. These figures illustrate the mechanism; they are not the results of an actual auction. In a reopening of an existing security, the original coupon rate remains in place while the new auction price and yield can differ. See the Treasury's reopening rules.

Treasury bills are different: they generally have no periodic coupon and usually earn their return through a purchase below face value followed by repayment at face value. The semiannual-coupon example above describes conventional Treasury notes or bonds; it does not directly describe bills, Treasury Inflation-Protected Securities (TIPS) or floating-rate notes. See the Treasury's security-by-security pricing guide.

Does a “rising 10-year Treasury yield” mean its coupon went up?

Usually, no. A reported 10-year Treasury yield is a market measure for that maturity, not a revision to the coupon on an outstanding security. The exact measure depends on the source. The U.S. Treasury's 10-year constant-maturity Treasury rate (10-year CMT) is read from a yield curve derived from market quotations; it need not equal the YTM of any individual Treasury security. A news outlet might instead quote the traded yield of a benchmark 10-year note. See the Treasury's interest-rate statistics FAQ.

If a headline says the 10-year yield has reached 5%, read it as a sign that the market currently requires a higher yield for that part of the Treasury market, putting pressure on corresponding bond prices. It does not mean the coupon on every outstanding 10-year note has been changed to 5%.

Why can PMI, inflation data or Fed expectations move Treasury yields?

The Federal Reserve's policy tools most directly influence short-term interest rates. Intermediate- and long-term Treasury yields are formed in the market. A useful framework considers expectations for future short-term rates and the term premium investors require for holding longer-dated bonds. Inflation expectations, Treasury supply and demand for safety can influence these expectations and risk compensation. See the Federal Reserve's discussion of expected short rates and term premiums.

For example, if a PMI release signals stronger activity than markets expected, investors might reassess inflation and the path of future rate cuts, sell bonds and push yields higher. That is not a rule for every PMI release. The surprise relative to expectations, the price components and other information about growth and inflation all matter. Likewise, weak demand at a five-year Treasury auction does not mean yields on 20-year-plus bonds must move by the same amount.

Treasury yields also enter equity valuation. If the discount rate rises while expected corporate cash flows stay the same, the present value of those cash flows falls. But if higher yields accompany improved earnings expectations, stock prices may react differently. “Treasury yields up, stocks down” is not a reliable trading rule.

Is the yield “locked in” when you buy? What about a Treasury ETF?

If you buy a conventional fixed-rate Treasury security and hold it to maturity, the purchase price and future nominal cash flows are known, provided coupons and principal are paid as promised. The YTM at purchase is the annualized internal rate of return implied by those cash flows. It does not protect purchasing power against inflation or guarantee that interim coupons can be reinvested at the same rate. If you sell before maturity, the sale price can change as market yields change, producing a gain or loss. See the SEC's guide to selling bonds before maturity.

A bond ETF works differently. It holds or adjusts a portfolio of securities over time. Buying an ETF share is not the same as buying one Treasury bond that you can hold until it repays face value. The share's market value changes with bond prices, the fund's strategy and expenses. Longer-dated bonds generally have greater sensitivity to interest-rate changes than shorter-dated ones. See the SEC's explanation of interest-rate risk in bond funds.

Product	What do you own or trade?	Do you have the maturity repayment of one Treasury bond?
Conventional fixed-rate U.S. Treasury security	A claim to a specified security's coupons and principal at maturity	If held to maturity and paid as promised, you receive its face value under its terms
Treasury ETF, including TMF or TBT	ETF shares whose value depends on the fund's strategy and underlying assets	No face-value repayment of a Treasury bond to you as an ETF shareholder
BBX TMFUSDT and TBTUSDT perpetual contracts	Perpetual contracts linked to the respective ETFs	No ownership of Treasury bonds or ETF shares, and no Treasury maturity repayment

TMF and TBT add another layer. TMF seeks, before fees and expenses, +3 times the daily performance of an index of U.S. Treasuries with more than 20 years to maturity. TBT seeks −2 times the daily performance of an index of long-dated U.S. Treasuries, before fees and expenses. “Daily” matters: over several days or longer, cumulative returns need not equal three or minus two times the index's cumulative return. In TBT's name, “UltraShort” describes an inverse leveraged strategy; it does not mean the fund owns ultra-short-maturity Treasuries. See the TMF issuer's description and the TBT issuer's description.

The BBX listing announcement identifies TMFUSDT and TBTUSDT as perpetual contracts linked to long-term Treasury ETFs. Their trading pages are TMFUSDT perpetual and TBTUSDT perpetual. These contracts add considerations such as margin, any leverage selected on the contract, mark price, funding rates, liquidity and liquidation risk. Check the live trading pages for rules, fees and availability. The underlying ETFs themselves have daily leveraged or inverse targets even if no additional contract leverage is selected. See the BBX fee guide.

Match the maturity to the product: A report about a five-year Treasury auction cannot be translated directly into a percentage move for TMF or TBT, whose reference indexes cover 20-year-plus Treasuries. To assess a long-duration Treasury ETF, also examine yields at the 20-year and 30-year points, the fund's stated objective and its actual market price. The five-year or 10-year yield alone is not a one-for-one pricing formula.

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This article is for financial education and is not investment advice. Bond prices in the example are illustrative, not market quotes. Actual transactions may also involve accrued interest, bid-ask spreads, fees and product-specific terms.

Primary sources and further reading

• U.S. Treasury: pricing, coupon rates and yields
• U.S. Treasury: constant-maturity rates versus yields on individual securities
• U.S. Securities and Exchange Commission: why fixed-rate bond prices fall when rates rise
• TMF issuer information and TBT issuer information
• BBX: TMFUSDT and TBTUSDT listing announcement