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Zero-coupon bond

A zero-coupon bond, also known as a zero or accrual bond, is a type of debt security that does not make periodic interest payments to the bondholder.^[1] Instead, it is issued and sold at a substantial discount to its face value, with the investor receiving the full par value at maturity; the difference between the purchase price and the maturity value constitutes the total return, effectively representing the compounded interest earned over the bond's life.^[2]^[3] Zero-coupon bonds function by leveraging the time value of money, where the discounted purchase price reflects the present value of the future maturity payment, discounted at the bond's yield to maturity.^[1] The price of a zero-coupon bond can be calculated using the formula:
Price = Face Value / (1 + Yield)^Number of Periods,
where the yield is the annual interest rate and the number of periods is typically the years to maturity (adjusted for compounding frequency, often annual for simplicity).^[1] For instance, a $1,000 face value bond maturing in 10 years at a 5% yield would be priced at approximately $613.91, with the investor realizing the full $1,000 at maturity.^[1] These bonds are particularly sensitive to changes in interest rates due to their long durations and lack of interim cash flows, causing their market prices to fluctuate more than those of coupon-paying bonds.^[2] Common examples include U.S. Treasury STRIPS (Separate Trading of Registered Interest and Principal of Securities), which are created by stripping the coupon and principal components from existing Treasury notes, bonds, or TIPS, resulting in pure zero-coupon instruments with no periodic payments.^[4] Corporate and municipal issuers also offer zero-coupon bonds, often with maturities ranging from 10 to 30 years, making them suitable for long-term goals such as funding education or retirement.^[1]^[2] Unlike traditional coupon bonds, zeros provide a predictable lump-sum payout at maturity without the need to reinvest interim interest, eliminating reinvestment risk.^[1] Key advantages of zero-coupon bonds include their simplicity for buy-and-hold strategies and higher effective yields for long-term investors, as the entire return accrues through compounding.^[1] However, they carry notable risks, such as taxation on imputed or "phantom" interest each year—even though no cash is received until maturity—which can create a tax liability without corresponding income for the investor.^[2]^[3] Additionally, if interest rates rise, the bond's market value can decline sharply before maturity, amplifying price volatility.^[2] Municipal zero-coupon bonds may offer tax exemptions to mitigate these issues, enhancing their appeal for taxable accounts.^[2]

Overview and Characteristics

Definition

A zero-coupon bond is a debt security that does not make periodic interest payments, or coupons, to investors during its term. Instead, it is sold at a deep discount to its face value and redeemed at par value—its full nominal amount—at maturity, providing the investor's return through the appreciation from the initial discounted price to the redemption value.^[2] The total return for the holder of a zero-coupon bond is derived solely from the difference between the purchase price and the face value paid at maturity, which embodies the compounded interest earned over the life of the instrument without any interim cash flows.^[5] This structure contrasts with traditional coupon-paying bonds, where interest is distributed regularly. Zero-coupon bonds were first popularized in the 1980s through the U.S. Treasury's Separate Trading of Registered Interest and Principal of Securities (STRIPS) program, launched in 1985, which enabled the creation of zero-coupon instruments by stripping the principal and interest components of eligible Treasury notes and bonds for separate trading.^[6] Although longer-term zero-coupon bonds emerged prominently then, shorter-term variants like U.S. Treasury bills—maturities of one year or less—had been issued as zero-coupon securities since the early 20th century.^[7] Prominent examples include U.S. Treasury bills, which are auctioned at a discount and mature at face value to deliver the implicit interest, and Series EE savings bonds, non-marketable securities issued by the U.S. Treasury that accrue interest internally until redemption at face value plus earnings.^[7]^[8]

Key Features

Zero-coupon bonds are distinguished by their lack of periodic interest payments, with the entire return on investment realized through a single "bullet" payment of the face value at maturity. This structure contrasts with traditional coupon-paying bonds, where investors receive interim cash flows, and instead concentrates all value accrual until the end of the term.^[2]^[5] A key behavioral attribute is that the Macaulay duration of a zero-coupon bond equals its time to maturity, making it particularly sensitive to changes in interest rates compared to coupon bonds of similar maturity. This full alignment of duration with maturity arises because there are no intermediate payments to offset price volatility. Additionally, zero-coupon bonds exhibit higher convexity than equivalent coupon bonds, providing greater price appreciation potential when interest rates decline, though this also amplifies downside risk in rising rate environments.^[9]^[10]^[11] These bonds are issued at a deep discount to their face value, often 20-50% below par for long-term instruments with maturities of 10 years or more, reflecting the compounded return earned over the holding period without interim yields. The discount level varies with prevailing interest rates and term length; for instance, a 10-year zero-coupon bond yielding around 4% might trade at approximately 68% of face value, implying a 32% discount.^[1]^[12] Zero-coupon bonds feature fixed maturity dates, spanning short-term horizons of a few months to long-term periods exceeding 30 years in certain markets, such as Canada where government-issued zeros derived from stripped bonds can extend to 29 years or more. This range allows flexibility for investors matching specific time-based liabilities.^[13]^[14] In terms of marketability, government-issued zero-coupon bonds, such as U.S. Treasury STRIPS, generally offer high liquidity due to their backing by sovereign credit and active secondary trading. Corporate zero-coupon bonds, however, tend to have lower liquidity, influenced by issuer-specific credit risk and less standardized issuance, which can widen bid-ask spreads and reduce trading volume.^[5]^[15]

Pricing and Valuation

Pricing Mechanism

The pricing of a zero-coupon bond is determined by calculating the present value of its single future payment at maturity, which is the face value discounted back to the present using the prevailing market yield. This process stems from the time value of money principle, where the discount accounts for the opportunity cost of tying up capital over the bond's life, as investors could otherwise earn returns by investing elsewhere at the yield rate.^[16] The core formula for the price P of a zero-coupon bond with face value F, yield y, and n periods to maturity is:

P = \frac{F}{(1 + y)^n}

This equation assumes discrete compounding over the periods, typically years for annual compounding.^[17] Several key factors influence the bond's price. The yield, representing the market interest rate, has an inverse relationship with price: higher yields result in lower prices due to greater discounting. Time to maturity n amplifies this effect, as longer horizons increase the compounding of the discount factor. Credit risk also plays a role, though it is minimal for government-issued zero-coupon bonds, which are backed by sovereign credit and considered virtually risk-free.^[18] To illustrate, consider a zero-coupon bond with a face value of $1,000 maturing in 10 years at a yield of 5%. The price is calculated as:

P = \frac{1000}{(1 + 0.05)^{10}} \approx 613.91

This shows how the bond trades at a deep discount to capture the implied interest over the term.^[19] The impact of compounding frequency is significant in pricing models. Annual compounding uses the formula above, but semi-annual compounding—common for many bonds—adjusts to P = F / (1 + y/2)^{2n}, where the yield is divided by two and periods doubled, resulting in a slightly lower effective price for the same nominal yield due to more frequent reinvestment opportunities. This adjustment ensures consistency with market conventions for interest calculations.^[17]

Yield Calculations

The yield to maturity (YTM) for a zero-coupon bond represents the annualized rate of return anticipated on the bond if held until maturity, assuming reinvestment at the same rate. Because zero-coupon bonds have no periodic interest payments, their YTM calculation is simpler than for coupon-paying bonds, which involve multiple cash flows requiring iterative numerical solutions. The YTM y is derived directly from the relationship between the bond's purchase price and its face value at maturity, using the formula:

P = \frac{F}{(1 + y)^n}

Solving for y:

y = \left( \frac{F}{P} \right)^{1/n} - 1

where P is the current price, F is the face value, and n is the time to maturity in years. This yields the effective annual rate.^[20] In fixed-income markets, the YTM of a zero-coupon bond corresponds precisely to the spot rate for that specific maturity, forming the building blocks of the yield curve. Spot rates reflect the pure time value of money for a given horizon without the averaging effect of coupons, allowing zero-coupon yields to directly inform the term structure of interest rates.^[21]^[22] The concept of current yield, which measures annual coupon income relative to price, holds no relevance for zero-coupon bonds, as their coupon rate is zero, resulting in a current yield of zero. Investors therefore emphasize the total return provided by the YTM, which captures the full appreciation from discount to face value. For illustration, a zero-coupon bond purchased at $800 with a $1,000 face value maturing in 5 years has a YTM of approximately 4.56%, computed as:

y = \left( \frac{1000}{800} \right)^{1/5} - 1 \approx 0.0456.

This example demonstrates the straightforward application of the formula to assess expected returns.^[20]^[23] In markets like the U.S. Treasury, where semi-annual compounding is conventional for comparability with coupon bonds, the YTM is often expressed as a bond equivalent yield (BEY). The BEY adjusts the effective yield to a semi-annual basis using:

y_{BEY} = 2 \left[ \left( \frac{F}{P} \right)^{1/(2n)} - 1 \right].

This convention ensures consistency in yield quoting across securities, though the effective annual yield remains the underlying total return measure.^[24]

Types and Creation Methods

Strip Bonds

Strip bonds, also known as stripped bonds, are zero-coupon bonds created by separating the principal and periodic interest payments (coupons) from a conventional coupon-bearing bond, transforming each component into an independent zero-coupon security.^[25] This stripping process originated in Canada around 1982, where dealers began manually detaching coupons from government bonds to trade them separately as zeros, predating formalized programs elsewhere.^[13] In the United States, the formalization of this method occurred with the launch of the Separate Trading of Registered Interest and Principal of Securities (STRIPS) program by the U.S. Department of the Treasury in 1985.^[6] The STRIPS initiative enabled the separate trading of interest and principal components from eligible Treasury notes and bonds maturing in 10 years or more, initially limited to those held in the Federal Reserve's book-entry system.^[6] The program has since expanded; for example, in 2000, Treasury notes with maturities between one and ten years became eligible for stripping.^[6] Under this program, any holder of a qualifying Treasury security can elect to strip it at any time from issuance until maturity, with the Treasury assigning unique CUSIP identifiers to each resulting zero-coupon component based on its payment date.^[26] The mechanics of stripping involve depositing the original coupon bond with a financial intermediary or depository institution, which then records the separation of the principal repayment and each future coupon payment as distinct STRIPS.^[25] These individual STRIPS are sold in the secondary market at a deep discount to their face value, with no interim payments, and mature at par to deliver the original coupon or principal amount.^[25] Reconstitution is also permitted, allowing market participants to recombine matching STRIPS—such as all coupons and principal from the same original bond—to recreate the underlying coupon-bearing security, provided the components align perfectly in terms and CUSIP eligibility.^[25] One key advantage of strip bonds is their ability to generate zero-coupon securities with highly customized maturities, enabling investors to target specific future cash flows without the need for reinvestment of coupons.^[27] The U.S. Treasury STRIPS market, in particular, benefits from exceptional liquidity due to the program's scale and the backing of U.S. government credit, facilitating efficient trading volumes exceeding those of many other fixed-income instruments.^[28] Today, similar stripping mechanisms are employed globally, including in Europe—such as France's program for OAT bonds—and various Asian markets, broadening access to tailored zero-coupon instruments.^[29] Institutions often utilize strip bonds to precisely match long-term liabilities, such as pension obligations, by aligning maturities with anticipated payouts.^[27]

Other Zero-Coupon Securities

Other zero-coupon securities are debt instruments issued directly by governments or corporations at a discount to their face value, without the need for stripping existing coupon-bearing bonds, allowing investors to receive the full principal at maturity as the sole payment.^[1] These securities differ from synthetic zeros created through stripping processes and are often designed for short- to medium-term maturities to manage liquidity and interest rate exposure.^[5] U.S. Treasury bills (T-bills) represent a primary example of directly issued zero-coupon securities from the government, functioning as short-term obligations with maturities ranging from 4 to 52 weeks.^[30] T-bills are auctioned weekly or monthly at a discount to their par value, with investors receiving the face amount at maturity, which implicitly incorporates the yield through the price discount.^[31] This auction mechanism ensures competitive pricing based on market demand, making T-bills a low-risk option for cash management and short-term investments.^[32] U.S. savings bonds, such as Series EE and Series I, are another form of government-issued zero-coupon securities, purchased at face value but accruing interest over time until redemption or maturity, without periodic payments.^[33] Series EE bonds issued on or after May 1, 2005, offer a fixed rate guaranteed to double in value after 20 years if held that long, while Series I bonds include an inflation-adjusted component combined with a fixed rate, both compounding semiannually.^[34] These bonds are non-marketable and aimed at individual savers, with interest effectively realized as the difference between purchase price and redemption value.^[35] Corporate zero-coupon bonds, though less common than government issues, have been directly issued by companies to raise capital without interim interest obligations, often through innovative structures like Liquid Yield Option Notes (LYONs). For instance, The Walt Disney Company issued zero-coupon LYONs in the early 1990s, which were convertible, callable, and puttable, maturing in 2005 but traded at a deep discount.^[36] Such issuances are rarer for corporations due to the heightened interest rate risk from their long durations and the tax burden of annual imputed interest reporting, even without cash flows.^[37]^[38] Internationally, the United Kingdom issues certain gilts as zero-coupon securities, sold at a discount to provide returns through capital appreciation at maturity, alongside more common coupon-bearing varieties.^[39] In emerging markets, governments occasionally issue deep-discount bonds that operate similarly to zeros, trading at significant discounts to face value to attract investors amid higher yields and credit risks.^[40] These direct issuances typically feature shorter maturities for non-government entities to mitigate duration-related volatility.^[5]

Investment Applications

Individual Uses

Individual investors often utilize zero-coupon bonds in goal-based investing to fund specific future expenses, such as college tuition or retirement needs, due to the predictability of their maturity value, which provides a lump sum without intermediate interest payments.^[41] This feature allows retail investors to match the bond's maturity date precisely with anticipated financial obligations, simplifying long-term planning.^[42] For instance, purchasing a 20-year zero-coupon bond can align with a child's college timeline, locking in a fixed rate of return that helps mitigate the effects of inflation over the investment horizon.^[42] These bonds also contribute to portfolio diversification for individuals, exhibiting low or negative correlation with equities, which enhances overall stability during market volatility.^[43] They can be incorporated into laddering strategies with staggered maturities to generate predictable cash flows for ongoing needs, such as supplemental retirement income, by providing sequential lump-sum payments at predetermined intervals.^[44] Accessibility is a key advantage, as zero-coupon securities like Treasury bills or Series EE savings bonds are available through brokers or directly from the U.S. Treasury, with minimum investments as low as $25 for EE bonds.^[45] Despite these benefits, zero-coupon bonds pose drawbacks for individual investors, including illiquidity when sold before maturity, as their prices are highly sensitive to interest rate changes, potentially leading to capital losses.^[37] Additionally, in rising interest rate environments, the fixed yield represents an opportunity cost compared to reinvesting in higher-yielding alternatives.^[37] When held in tax-advantaged accounts like IRAs, they offer tax deferral on accrued interest until withdrawal.^[46]

Institutional Uses

Institutions, such as pension funds and insurance companies, frequently employ zero-coupon bonds in immunization strategies to hedge interest rate risk by aligning the duration of their asset portfolios with the duration of their liabilities.^[47] This approach ensures that the net present value of assets remains stable against small changes in interest rates, protecting against potential shortfalls in funding future obligations like retirement payouts or policy claims.^[47] The high duration of zero-coupon bonds, which equals their time to maturity, makes them particularly suitable for this purpose in liability-driven investment (LDI) frameworks.^[48] Another key application is cash flow matching, where institutions construct portfolios of zero-coupon bonds with staggered maturities to precisely replicate the timing and amount of anticipated future cash outflows.^[48] This dedication strategy eliminates reinvestment risk and provides certainty in meeting liabilities without the need for frequent rebalancing, often using Treasury STRIPS to achieve exact matches for multi-period obligations.^[47] Financial institutions also utilize zero-coupon bonds in yield curve trading to exploit discrepancies in spot rates across maturities, enabling arbitrage opportunities or speculative positions based on expected curve shifts.^[49] For instance, traders may construct butterfly spreads using zeros of different maturities to bet on changes in yield curve curvature, profiting from mean-reversion patterns observed in historical data.^[49] A prominent example is the use of long-term STRIPS by pension funds to fund defined-benefit obligations, where the bond's maturity aligns directly with distant payout horizons, leveraging the fact that a zero-coupon bond's duration equals its maturity for optimal hedging.^[50] This practice has gained traction among corporate plans seeking to derisk portfolios amid volatile rates.^[50] Zero-coupon bonds hold a significant place in institutional fixed-income portfolios, with U.S. Treasury STRIPS outstanding totaling approximately $582 billion as of October 2025, underscoring their scale in professional asset management.^[51]

Taxation and Regulations

Tax Treatment in the United States

In the United States, zero-coupon bonds are subject to original issue discount (OID) rules under the Internal Revenue Code, where the discount—the difference between the bond's stated redemption price at maturity and its issue price—is treated as interest income that accrues over the bond's life.^[52] This accrued OID must be included in the holder's gross income annually, even though no cash payments are received until maturity, resulting in what is commonly referred to as "phantom income."^[53] The accrual is calculated using the constant yield method, which compounds the OID based on the bond's yield to maturity and divides it into accrual periods (typically semiannual for bonds issued after 1984).^[52] Brokers and payers report the annual OID to the IRS and the bondholder on Form 1099-OID if the amount is $10 or more, with Box 1 showing the taxable OID for the year.^[53] Holders must report this amount on their tax return (Form 1040, Schedule B, line 1) as taxable interest, adjusting for any acquisition premium paid above the issue price, which reduces the includible OID.^[52] If no Form 1099-OID is received, holders can use IRS Publication 1212 tables or the constant yield formula to compute the OID.^[53] Certain exceptions apply to the OID taxation. For tax-exempt municipal zero-coupon bonds, the accrued OID is treated as tax-exempt interest and is not included in gross income, though it increases the bond's basis for future gain calculations.^[52] Additionally, when held in tax-deferred accounts such as individual retirement accounts (IRAs) or 401(k) plans, the OID accrual is not taxed until distributions are made from the account.^[53] A de minimis rule also exempts bonds with OID less than 0.25% of the stated redemption price multiplied by the number of complete years to maturity from annual inclusion, treating it instead as capital gain at maturity or sale.^[52] The OID rules for zero-coupon bonds were significantly formalized by the Tax Equity and Fiscal Responsibility Act (TEFRA) of 1982, which required annual inclusion of OID for debt instruments issued after July 1, 1982, and treated stripped bonds as OID instruments.^[54] These provisions were further refined in the Deficit Reduction Act of 1984, applying the constant yield method to bonds issued after December 31, 1984, to ensure more accurate matching of income accrual with economic benefit.^[52] For example, consider a 10-year zero-coupon bond with a $10,000 face value purchased at issuance for $6,000, implying a yield to maturity of approximately 5.13% (compounded semiannually). Under the constant yield method, the annual OID accrual is roughly $314 in the first year (calculated as the increase in adjusted issue price over the accrual period, starting from $6,000 and compounding semiannually), which must be reported as taxable interest income that year, with subsequent years' accruals increasing as the basis grows.^[52]

Tax Treatment in Other Jurisdictions

In Canada, zero-coupon bonds, often in the form of strip bonds, are subject to accrual taxation where the imputed interest—representing the discount from face value—is included in income annually as it accrues, rather than at maturity or sale.^[55] This approach, introduced in the 1981 federal budget to accommodate the creation of strip bonds from coupon-paying securities, treats the annual accretion as interest income for tax purposes, with the adjusted cost base updated accordingly to avoid double taxation on disposition.^[56] For certain government strip bonds, capital gains treatment may apply on sale before maturity if the proceeds exceed the accrued interest portion, but the primary taxation remains on the accruing discount.^[57] In the United Kingdom, the tax treatment of zero-coupon bonds distinguishes between ordinary discounted securities and deeply discounted securities (DDS), with the latter encompassing most zero-coupon instruments. Profits from DDS, defined as securities where the redemption amount exceeds the issue price by more than 0.5% of the redemption amount for each complete year to maturity (or more than 15% for maturities of one year or less), are taxed as income at realization—upon sale, redemption, or maturity—rather than on an accrual basis.^[58] This realization-based approach applies to corporate and non-government zeros, excluding traditional gilts whose profits are exempt from both income tax and capital gains tax for most holders.^[58] Gilt strips, however, follow the DDS regime and are taxed as income on the discount at maturity, though certain institutional holders may benefit from exemptions.^[59] India classifies zero-coupon bonds as deep discount bonds, subjecting the annual accretion in value to taxation as interest income based on market valuations at the end of each financial year, per guidelines from the Reserve Bank of India.^[60] This accrual method, formalized in the 2002 Finance Act and clarified by Circular No. 2/2002, requires investors to report the difference between successive year-end valuations as income, with the cost base adjusted for prior inclusions to prevent double taxation on transfer or redemption.^[60] Non-corporate investors holding bonds with a face value up to ₹1 lakh may elect the pre-2002 realization-based treatment, taxing the entire discount as capital gains or income only at maturity or sale.^[60] Across the European Union, taxation of zero-coupon bonds generally follows an accrual-based approach for the discount, treated as interest income under national rules, with cross-border information exchange harmonized under the Common Reporting Standard (CRS) since 2016, which includes accrued amounts on zeros as reportable interest realized at sale, redemption, or maturity.^[61] In Germany, for example, the discount on zero-coupon bonds, including those embedded in Pfandbriefe (covered bonds), is taxed as interest on an accrual basis at a flat 25% withholding tax rate plus solidarity surcharge, with annual inclusions for resident taxpayers.^[62] Variations exist, such as deferred taxation for qualified institutional investors in some member states, but the framework promotes effective accrual to curb cross-border deferral. A global trend since the 1980s has seen jurisdictions shift toward accrual taxation of zero-coupon bond discounts to mitigate tax deferral advantages, mirroring the U.S. original issue discount rules but adapted locally—often taxing the accruing interest annually while allowing realization-based capital gains treatment on principal for non-interest portions.^[63] This evolution, driven by concerns over income timing distortions, is evident in OECD countries where over 70% now apply accrual methods to interest-like elements of zeros, prioritizing anti-abuse measures over pure realization principles.^[63]

Risks and Comparisons

Primary Risks

Zero-coupon bonds, due to their structure of providing a single payment at maturity with no interim coupons, exhibit heightened exposure to several key risks compared to traditional coupon-paying bonds. These risks stem primarily from the bond's long duration and lack of periodic cash flows, amplifying sensitivity to market changes. Interest rate risk is particularly pronounced in zero-coupon bonds because their duration equals the time to maturity, making their prices highly volatile in response to changes in prevailing interest rates.^[64] When interest rates rise, the present value of the fixed maturity payment decreases significantly, leading to substantial price declines if the bond is sold before maturity. For example, a 30-year zero-coupon bond could experience a price drop of approximately 25% following a 1% increase in interest rates, illustrating the amplified volatility for longer maturities.^[37] This risk is especially relevant for investors who may need to liquidate holdings prior to maturity, as the absence of coupon payments means no offsetting income during periods of rising rates.^[5] In terms of reinvestment risk, zero-coupon bonds offer an advantage over coupon bonds, as there are no periodic interest payments that require reinvestment at potentially lower future rates.^[65] This eliminates the uncertainty of reinvesting cash flows, locking in the yield to maturity from purchase. However, this feature introduces an opportunity cost: if interest rates rise after purchase, investors cannot benefit from higher yields without selling the bond, which would incur a capital loss due to the interest rate risk described above.^[37] Thus, while zeros avoid traditional reinvestment risk, they expose holders to forgone opportunities in a rising rate environment. Credit risk is another critical concern, particularly for zero-coupon bonds issued by corporations or other non-government entities, where the issuer's potential default directly threatens the single maturity payment. Unlike Treasury zeros, which are backed by the U.S. government and considered virtually default-free, corporate zeros carry a higher probability of default, potentially resulting in a total loss of principal if the issuer fails to pay at maturity.^[5] Historical data on corporate bond defaults underscores this risk, with recovery rates often low for unsecured issues, amplifying the impact on zero-coupon structures that lack interim payments to mitigate losses.^[66] Inflation risk affects zero-coupon bonds by eroding the real value of the fixed maturity payment over time, especially during periods of elevated inflation that outpace the bond's implied yield. Since the payout is predetermined and non-adjustable, unexpected inflation reduces the purchasing power of the principal received at maturity, potentially turning a nominal gain into a real loss.^[37] This risk is heightened for long-term zeros, where inflation compounding over decades can significantly diminish returns; for instance, sustained inflation above the bond's yield could halve the real value of a 20-year maturity payment.^[5] Finally, liquidity risk arises from the challenges in trading zero-coupon bonds in the secondary market, particularly for non-Treasury issues, where bid-ask spreads tend to be wider due to lower trading volumes and fewer market makers. While U.S. Treasury zeros like STRIPS benefit from a deep and active market, corporate or municipal zeros may face reduced liquidity, leading to higher transaction costs or unfavorable pricing when selling before maturity.^[37] This risk is more acute during market stress, when selling pressure can exacerbate price discounts beyond those driven by interest rate changes.^[67]

Comparison to Coupon Bonds

Zero-coupon bonds differ fundamentally from traditional coupon-paying bonds in their cash flow structure. Unlike coupon bonds, which provide periodic interest payments (coupons) throughout their term alongside the principal repayment at maturity, zero-coupon bonds offer no interim payments and instead deliver a single lump-sum payment equal to the face value at maturity.^[68] This absence of coupons means investors in zero-coupon bonds must rely entirely on the difference between the discounted purchase price and the maturity value for their return, whereas coupon bondholders receive steady income streams that can be reinvested or used for current needs.^[5] In terms of duration and interest rate sensitivity, zero-coupon bonds exhibit higher duration, which equals their time to maturity, making them more volatile to changes in interest rates compared to coupon bonds of the same maturity. For instance, a 10-year zero-coupon bond has a duration of 10 years, while a 10-year coupon bond with a 3% yield might have a duration of approximately 8.71 years due to the earlier cash flows from coupons.^[69] This extended duration amplifies price swings: when interest rates fall, zero-coupon bond prices rise more sharply than those of coupon bonds, but they also decline more significantly if rates increase.^[68] Coupon bonds, by contrast, benefit from the damping effect of periodic payments, which shorten the weighted average time until cash flows are received and thus reduce overall price volatility.^[10] Pricing zero-coupon bonds is generally simpler than pricing coupon bonds because it involves discounting a single future payment without the need to account for multiple cash flows or assumptions about coupon reinvestment rates. Zero-coupon bonds are sold at a deep discount to face value based solely on the yield to maturity, whereas coupon bonds require calculating the present value of both the periodic coupons and the principal, incorporating variables like the coupon rate and potential reinvestment risks.^[70] This straightforward valuation for zeros avoids the complexities of yield-to-maturity calculations that blend interim income and final repayment in coupon bonds.^[71] Regarding investor suitability, zero-coupon bonds are particularly appropriate for those with long-term goals who do not require interim income, such as funding future expenses like education or retirement, as they lock in a predictable lump-sum payout.^[5] In contrast, coupon bonds appeal to income-oriented investors seeking regular cash flows for living expenses or reinvestment.^[68] For example, a 10-year zero-coupon bond purchased at a discount might provide a total return equivalent to a 5% annual yield through appreciation to face value, but without the steady semi-annual payments of a comparable 5% coupon bond, which would distribute income periodically while exposing the investor to reinvestment risk if rates change.^[69]

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WWWFinance - Bond Valuation: Campbell R. Harvey
Apr 1, 1997 · Zero coupon bonds can be used to find the price of a coupon bearing bond. Suppose, for example, that we wanted to find the price of a $1,000,000 ...
[18]
Bond Funds and Income Funds - Investor.gov
... zero-coupon bonds—or a mixture of types. The securities that bond funds ... This risk may be minimal for funds that invest in U.S. government bonds. By ...
[19]
[PDF] Dr Hendel's FM Lecture Notes - TigerWeb
Solution: At t=0, the original price is 1000 x 1.05-10 = 613.91. At t=3, the ... The market offers 0-coupon bonds maturing in 3 and 10 years at the current market ...<|control11|><|separator|>
[20]
[PDF] Yield to Maturity - NYU Stern
So in the absence of arbitrage, zero prices imply coupon bond prices and coupon bond prices imply zero prices. • Therefore, zero rates imply coupon bonds yields ...
[21]
[PDF] The Term Structure of Interest Rates, Spot Rates, and Yield to Maturity
An individual investing $1 in a four-year zero coupon bond receives $1.2625 [$1 (1.06)4] at date 4. He can be viewed as receiving the three-year spot rate of 7 ...Missing: money | Show results with:money
[22]
[PDF] Chapter 6: Valuing Bonds
=> the risk-free interest rate for a maturity of n years equals the yield to maturity on a zero-coupon risk-free bond that matures n years from today. rn = YTMn.
[23]
[PDF] Financial Markets 2: Bonds - HEC Paris
A coupon bond has a face value of C100, an annual coupon, a maturity of 10 years, a yield of 5%, and a price of C115.443.What is the bond's coupon? P0= C y.Missing: F / | Show results with:F /
[24]
[PDF] Fixed-income Securities Lecture 3: Yield curves - Philip H. Dybvig
For a coupon bond, the. Page 4. yield is an average of forward rates that puts some more weight on early rates than does the zero-coupon rate. The par-coupon ...Missing: characteristics | Show results with:characteristics<|control11|><|separator|>
[25]
STRIPS - TreasuryDirect
Each separated piece is a zero-coupon security that matures separately and, has only one payment. An example. A bond with 10 years remaining to maturity ...
[26]
31 CFR § 356.31 - How does the STRIPS program work?
Stripping is done at the option of the holder, and may occur at any time from issuance until maturity. We provide the CUSIP numbers and payment dates for the ...
[27]
Treasury STRIPS | Meaning, How They Work, Types, Pros & Cons
Rating 4.4 (11) Aug 9, 2023 · Because each STRIP has a defined maturity date and a guaranteed return, investors can plan their purchases to align with their future cash needs ...
[28]
[PDF] Treasury STRIPS - RBC Wealth Management
The investor's earnings grow over the life of the bond as the deeply discounted purchase price gradually rises toward the bond's par value as maturity.
[29]
Stripped government securities - Agence France Trésor
Bond stripping separates interest payments from bond principal redemption payments, creating the same number of zero-coupon bonds. Using this technique, one can ...
[30]
US Treasury Bonds - Fidelity Investments
Instead, they are sold at a discount to their face (or par) value; investors receive the full face value at maturity.
[31]
Understanding 13-Week Treasury Bill Futures - CME Group
Sep 18, 2023 · T-Bills do not pay periodic coupon interest like their note and bond counterparts; instead they are auctioned to investors at a discount to face ...
[32]
Daily Treasury Bill Rates
The Coupon Equivalent can be used to compare the yield on a discount bill to the yield on a nominal coupon security that pays semiannual interest with the same ...
[33]
Savings Bonds: What They Are And How To Cash Them In | Bankrate
Sep 11, 2025 · U.S. savings bonds are zero-coupon bonds issued by the Treasury and backed by the U.S. government, making them one of the safest investment ...What is a savings bond? · Pros and cons of savings bonds<|separator|>
[34]
Comparing EE and I bonds - TreasuryDirect
EE bonds you buy now have a fixed interest rate that you know when you buy the bond.
[35]
Savings Bond: A Comprehensive Guide - Business Insider
Series EE and Series I — are "zero coupon," which means they pay interest only when they're redeemed. Savings ...Types of savings bonds · How savings bonds work · Redeeming savings bonds
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[PDF] THE ORIGIN OF LYONs: A CASE STUDY IN FINANCIAL INNOVATION
The LYON is a complex security. It is a zero coupon, convertible, callable, and puttable bond. None of these four features is new, it is only their.
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Advantages and Risks of Zero-Coupon Treasury Bonds - Investopedia
Zero coupon bonds are bonds that do not make any interest payments until maturity. You won't put a single penny of interest in your pocket for two decades.Missing: characteristics | Show results with:characteristics
[38]
How Are Zero Coupon Bonds Taxed? - SmartAsset.com
Oct 31, 2024 · Zero coupon bonds are taxed differently because they don't pay regular interest. Instead, they're sold at a discount and reach full value at maturity.
[39]
Managing my investments: Week 2: 2.3.1 Gilts: UK government bonds
Some gilts have a zero coupon, though, which means that investors receive no income stream from them. These are issued at a discount so the return to the ...
[40]
Deep-Discount Bond: Overview and Examples - Investopedia
Deep-Discounts and Zero-Coupon Bonds. A deep discount bond does not have to pay coupons, as seen with zero-coupon bonds. Some zero-coupon bonds are offered ...Missing: emerging | Show results with:emerging
[41]
Zero-coupon bonds: What they are, pros and cons, tips to invest
Sep 18, 2024 · A zero-coupon bond is a type of bond that pays no interest and trades at a discounted face value. The investor pays less than the bond's face value.
[42]
Bond Basics: Zero-Coupon Bonds - Kiplinger
Aug 2, 2023 · You can buy a zero-coupon bond to pay for college expenses ten years down the road, sock it away, and forget about it until you withdraw the ...
[43]
How zero coupon bonds can help hedge against political risk
Oct 15, 2013 · Consider the volatility of 30 year zero coupon bonds and how their negative correlation relative to equities has assisted portfolio stability.
[44]
3 Ways To Incorporate Bonds Into Your Retirement Strategy
If you are looking to meet a specific spending goal at some point in the future, you will ideally be looking to use zero coupon bonds, because you can align the ...Bonds As Part Of Your... · Bonds In Reserve · Rolling Bond Ladders
[45]
https://www.treasurydirect.gov/savings-bonds/
[46]
Zero Coupon Municipal Bonds: A Smart Investment Choice?
Jul 29, 2024 · Zero coupon bonds are debt securities issued at a discount and mature at face value without periodic interest payments.Missing: levels range
[47]
Liability-Driven and Index-Based Strategies | CFA Institute
If the change in the cash flow yield is the same as that on the zero-coupon bond being replicated, immunization can be achieved even with a non-parallel shift ...
[48]
Protecting Cashflows with Portfolio Immunization - NDVR.com
Feb 7, 2023 · ... bonds that have been 'stripped' of their coupon payments. These are Zero Coupon Bonds and can be used by institutional investors in immunization ...
[49]
[PDF] Profiting from Mean-Reverting Yield Curve Trading Strategies
Take three zero coupon bonds, with maturities of X, Y and Z months and corresponding one-month forward yields of X r , Y r and Z r . The curvature of the ...
[50]
Corporate pension plans push demand for Treasury STRIPS
Mar 29, 2017 · “Holding STRIPS may allow a pension fund to build a more flexible and diversified portfolio including a wider opportunity set of bonds to ...Missing: obligations | Show results with:obligations
[51]
[PDF] HOLDINGS OF TREASURY SECURITIES IN STRIPPED FORM ...
Mar 31, 2023 · TABLE V - HOLDINGS OF TREASURY SECURITIES IN STRIPPED FORM, MARCH 31, 2023 ... Amount Outstanding in Thousands. 91282CFX4. 4.500. 912821KD6. 11/30 ...
[52]
Publication 1212 (01/2025), Guide to Original Issue Discount (OID ...
Zero coupon bonds and debt instruments that pay no stated interest until maturity are examples of debt instruments that have OID. Accrual period.
[53]
Publication 550 (2024), Investment Income and Expenses - IRS
Original issue discount. Original issue discount (OID) on tax-exempt state or local government bonds is treated as tax-exempt interest. For information on ...<|control11|><|separator|>
[54]
ZERO COUPON NOTES ARE ISSUED WITH ORIGINAL ... - Tax Notes
Section 1232(b) provides that the term "original issue discount" means the difference between the issue price and the stated redemption price at maturity. If ...
[55]
Tax Treatment of Investments in Strip Bonds - TaxTips.ca
Jun 19, 2025 · For tax purposes, strip bonds are treated differently from bonds for which interest payments are received. The discount from maturity value is ...
[56]
ARCHIVED - Interest Income - Canada.ca
Nov 7, 2017 · This bulletin explains certain requirements of the Income Tax Act relating to the computation and reporting of interest income.
[57]
Government of Canada Securities - Technical Guide
Sep 16, 2019 · The following general summary fairly describes the principal Canadian federal income tax considerations generally applicable to purchasers of Bonds.
[58]
SAIM2230 - Interest: specific inclusions: discounts: taxation - GOV.UK
Mar 19, 2016 · All discounts, other than discounts in deeply discounted securities, are treated as interest for tax purposes, ITTOIA05/S381.Missing: zero- | Show results with:zero-
[59]
SAIM3130: Discounted Securities - HMRC Manual
Mar 19, 2016 · Bond stripping could result in tax deferral. The discount in the early years is small. Instead of taxing the interest payable twice yearly, tax ...
[60]
Circular No. 2/2002, dated 15-02-2002 - Income Tax Department
Such tax treatment of Deep Discount Bonds, however, has posed the following problems : (i) Taxing the entire income received from such a bond in the year of ...
[61]
EUR-Lex - 52001PC0400 - EN - European Union
This includes accrued or capitalised interest which is realised at the sale, refund or redemption of zero-coupon bonds, discounted bonds and similar debt-claims ...
[62]
Income from bonds - Börse Frankfurt
Interest on capital assets and realized capital gains through sale are subject to a flat rate of 25 percent discount tax plus solidarity surcharge and, if ...
[63]
[PDF] Taxation of Capital Gains of Individuals | OECD Tax Policy Studies
dimensions include: realization-based versus accrual taxation; applicable tax rates under a separate capital gains tax or personal income tax; treatment ...
[64]
Duration: Understanding the Relationship Between Bond Prices and ...
For example, if rates were to rise 1%, a bond or bond fund with a 5-year average duration would likely lose approximately 5% of its value.
[65]
Reinvestment Risk Definition and How to Manage It - Investopedia
Zero-coupon bonds (Z-bonds) are the only type of fixed-income security to have no inherent investment risk since they issue no coupon payments throughout their ...
[66]
Corporate Bonds: An Introduction to Credit Risk - Investopedia
Investors in such bonds must assume not only interest rate risk but also credit risk, the chance that the corporate issuer will default on its debt obligations.
[67]
Understanding Zero-coupon Bonds: How They Work, Benefits, and ...
Dec 23, 2024 · Deep Discount Bonds. These are zero-coupon bonds issued at a significant discount to their face value, with a long maturity period. Issuer ...Missing: range | Show results with:range
[68]
Coupon Bond Vs. Zero Coupon Bond: What's the Difference?
A zero-coupon bond does not pay coupons or interest payments like a typical bond does; instead, a zero-coupon holder receives the face value of the bond at ...Missing: characteristics | Show results with:characteristics
[69]
Duration: a measure of bond price volatility - Nuveen
Reducing the coupon rate to zero makes the duration equal to maturity. This is logical since the full amount of one's investment return will be received in one ...
[70]
None
### Summary of Pricing Differences Between Coupon Bonds and Zero-Coupon Bonds
[71]
Coupon and Zero-Coupon Bond Pricing Explained - tastylive
Nov 2, 2023 · A bond's price reflects the present value of its cash flow stream, which consists of the periodic coupon payments and the final principal repayment.