Reporting Duration and Convexity in Fact Sheets

Fact sheets lie by omission. In 2022, bond funds dutifully reported their duration figures—but most investors never connected those numbers to actual dollar losses. The Bloomberg U.S. Aggregate Index carried a duration of 6.0 years versus its long-term average of 4.97 years (Hartford Funds, 2025). That elevated duration, combined with a 236 bps yield surge, delivered a -13.01% return. The numbers were hiding in plain sight. The skill is knowing how to read them—and knowing what's missing.

Where Duration and Convexity Appear in Fund Documents

Fund companies disclose risk metrics across multiple documents, each with different update frequencies and levels of detail.

Fact sheets (monthly or quarterly):

• Modified or effective duration (usually a single weighted-average figure)
• Sometimes: average maturity, yield to maturity, 30-day SEC yield
• Rarely: convexity, key rate durations, spread duration

Prospectuses and SAIs (Statement of Additional Information):

• Duration and maturity ranges permitted by the fund's investment mandate
• Risk factor disclosures explaining what duration exposure means
• Derivatives usage that may alter effective duration

Holdings reports (quarterly or semi-annual):

• Individual security durations (if you have time to calculate weighted averages yourself)
• Portfolio composition by maturity bucket and sector

The point is: The summary fact sheet gives you headline duration. But it won't tell you how that duration is distributed across the curve, whether it's stable or volatile, or how the fund's callable bond holdings affect the number's reliability.

Decoding "Average Duration" (What It Actually Means)

Most fact sheets report portfolio duration as a weighted average of individual bond durations. The calculation assumes parallel yield curve shifts—meaning all rates move by the same amount simultaneously.

The formula:

Portfolio Duration = Sum of (Weight_i x Duration_i)

Where Weight_i is each bond's market value as a percentage of total portfolio value.

Example breakdown:

You're evaluating an intermediate-term bond fund with these holdings:

The fact sheet reports "Duration: 5.4 years." Technically accurate—but this single number obscures significant curve exposure (the 10-year and corporate buckets carry more than half the total duration risk).

Why this matters: Two funds can report identical 5.4-year duration but have radically different curve exposures. A bullet portfolio concentrated in 5-year bonds behaves differently than a barbell split between 2-year and 10-year positions, especially when the yield curve steepens or flattens.

Convexity: Usually Missing, Always Important

Convexity measures the curvature in the price-yield relationship. It matters most for large yield moves (100 bps or more), where duration's linear approximation breaks down.

The convexity adjustment formula:

%Price Change = -Duration x Rate Change + 0.5 x Convexity x (Rate Change)^2

Typical convexity ranges:

• Short-term bonds: Low (under 20)
• Intermediate bonds: Moderate (20-80)
• Long-term bonds: High (80-200+)
• Zero-coupon bonds: Highest for a given maturity
• Callable bonds and MBS: Often lower or negative

The reporting gap: Most retail fact sheets omit convexity entirely. Institutional share classes sometimes include it. This matters because convexity creates asymmetric returns—for option-free bonds, you gain more when rates fall than you lose when rates rise by the same amount.

Example of what you're missing:

Bond with duration 7.02 and convexity 64.93. Rates rise 45 bps.

Duration-only estimate: -7.02 x 0.45% = -3.16% With convexity adjustment: -3.16% + (0.5 x 64.93 x 0.0045^2) = -3.09%

The difference seems small here (7 bps), but for a 20-year bond with duration 12 and convexity 180 facing a 100 bps move, the convexity adjustment can exceed 0.9%.

Effective Duration vs. Modified Duration (Critical Distinction)

Fact sheets may report either modified duration or effective duration without clearly explaining which one—or why it matters.

Modified duration assumes fixed cash flows. Works for Treasuries and bullet corporate bonds.

Effective duration accounts for changing cash flows. Essential for:

• Callable bonds (issuer may call early when rates drop)
• Mortgage-backed securities (prepayments accelerate when rates fall)
• Callable munis (same call dynamic)

The practical difference:

A callable bond trading above par might have modified duration of 8 years but effective duration of only 5 years. The call option caps upside when rates fall, making the bond less sensitive than modified duration suggests.

Causal chain for MBS:

Rates fall → Homeowners refinance → Prepayments accelerate → Duration shortens → Price gains capped

The 2020-2021 mortgage rate environment (2.5% to 4.0% rates) created massive refinancing. Those MBS pools that prepaid are now replaced by 2022-2024 originations at 6%+ rates—which barely refinance, extending duration unexpectedly.

The test: When reviewing an MBS or callable bond fund, does the fact sheet explicitly state "effective duration"? If it says "duration" without qualification, assume they might be reporting modified duration—which overstates your upside sensitivity.

Key Rate Duration: What Fact Sheets Almost Never Show

Portfolio duration assumes parallel shifts. Real yield curve moves are rarely parallel—curves steepen, flatten, and twist.

Key rate duration measures sensitivity at specific maturity points (typically 2-year, 5-year, 10-year, and 30-year). The sum of all key rate durations equals effective duration.

Why it matters:

During the 2013 Taper Tantrum, the 10-year yield rose 150 bps over five months while shorter rates moved less. Funds concentrated in the 10-year sector suffered more than their aggregate duration suggested, while those with barbell structures experienced different gains and losses on each end.

What you can infer from holdings data:

If a fund's fact sheet shows maturity distribution (e.g., "40% in 7-10 years"), you can estimate where the curve exposure concentrates—even without explicit key rate duration disclosure.

Detection signal: If a fund holds primarily 2-year and 10-year bonds (a barbell), its key rate durations at those points are high, while 5-year key rate duration is near zero. A single "5-year duration" number misses this structure entirely.

Worked Example: Translating Fact Sheet Data into Risk Estimates

Setup: You're evaluating the Vanguard Total Bond Market ETF (BND) using its fact sheet data.

Reported metrics (hypothetical, for illustration):

• Effective duration: 6.3 years
• SEC 30-day yield: 4.2%
• Average maturity: 8.7 years
• Convexity: Not disclosed

Step 1: Duration-based stress test

For a 100 bps rate increase: Estimated price change = -6.3 x 1.00% = -6.3%

For a 200 bps rate increase: Estimated price change = -6.3 x 2.00% = -12.6%

Step 2: Convexity adjustment (estimated)

Since convexity isn't disclosed, estimate using the long-term bond rule of thumb: convexity is roughly (duration x 10) for investment-grade bond funds. That suggests convexity around 60.

For 100 bps: 0.5 x 60 x (0.01)^2 = +0.03% (negligible) For 200 bps: 0.5 x 60 x (0.02)^2 = +0.12% (modest cushion)

Adjusted 200 bps estimate: -12.6% + 0.12% = -12.48%

Step 3: Compare to historical episode

In 2022, the Bloomberg Aggregate (which BND tracks) lost -13.01% on a 236 bps yield increase. Back-calculating:

Duration math: -6.0 x 2.36% = -14.16% Actual loss: -13.01% Difference: ~1.15% (positive convexity cushion)

Interpretation: The fact sheet duration translated directly to the actual loss, adjusted for convexity. Duration math works—when you apply it correctly.

Detection Signals: You're Likely Misreading Fact Sheets If...

• You treat "duration: 6 years" and "maturity: 6 years" as interchangeable (they're related but different—a 10-year zero-coupon bond has 10-year duration, but a 10-year coupon bond has lower duration)
• You compare durations across funds without checking if one uses modified and another uses effective duration
• You assume a fund's duration is stable when it holds significant MBS or callable positions (those durations shift with rate levels)
• You ignore that fact sheets are typically 30-60 days stale (the fund may have repositioned since the report date)
• You don't check whether the fund uses derivatives (futures overlays can dramatically alter effective duration)

Checklist: Reading Duration Disclosures

Essential (high ROI)

• Locate the duration figure in the fund fact sheet (usually in "Portfolio Characteristics" or "Risk Statistics")
• Confirm the type: Is it modified duration, effective duration, or unspecified?
• Run a stress test: Multiply duration by expected yield change scenarios (50 bps, 100 bps, 200 bps)
• Check for MBS or callable exposure: If significant, demand effective duration (and recognize it may shift)

High-impact refinements

• Estimate convexity if not disclosed (duration x 10 for investment-grade funds; adjust lower for callable-heavy portfolios)
• Review maturity distribution to infer key rate exposures
• Compare to benchmark duration: Is the fund running higher or lower duration than its index?

What Good Disclosure Looks Like (And What's Missing)

High-quality institutional fact sheets include:

• Effective duration (not just modified)
• Convexity or "average convexity"
• Key rate duration profile (2Y, 5Y, 10Y, 30Y)
• Spread duration (sensitivity to credit spread changes, not just rate changes)
• Duration contribution by sector

Typical retail fact sheets omit:

• Convexity (almost always)
• Key rate durations (almost always)
• Spread duration (usually)
• Clarification of modified vs. effective

The durable lesson: The gap between institutional and retail disclosure creates an information asymmetry. You can close it partially by examining quarterly holdings reports or using third-party analytics (Morningstar, Bloomberg Terminal) that calculate these metrics from disclosed positions.

Your Next Step

Pull up the fact sheet for your largest fixed-income holding. Answer these questions:

1. What duration is reported? Is it modified or effective?
2. What is the maturity distribution? Where is the curve exposure concentrated?
3. Does the fund hold MBS or callables? If so, effective duration should be disclosed (and may fluctuate)
4. Run the stress test: What happens to your position value if rates rise 100 bps? 200 bps?

Benchmark your findings:

• Duration under 3 years: Short-duration positioning, limited rate sensitivity
• Duration 4-6 years: Moderate (roughly matching the Aggregate's long-term average)
• Duration above 6 years: Elevated (current Aggregate level, historically high)
• Duration above 8 years: Long-duration positioning, significant rate exposure

Action: If you can't find effective duration or convexity disclosed, consider whether that information gap affects your ability to size the position appropriately during rate volatility.

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Related: Modified Duration and Price Sensitivity | Convexity Concept and Calculation | Stress Testing Portfolios for Rate Shocks | Key Rate Duration to Measure Curve Risk

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Source: CFA Institute, Yield-Based Bond Convexity and Portfolio Properties (2025). CFA Institute, Curve-Based and Empirical Fixed-Income Risk Measures (2025). Hartford Funds, Duration of the Bloomberg US Aggregate Bond Index (2025). PIMCO, Understanding Duration (2024). DoubleLine, Advantages of Agency Mortgage-Backed Securities (2022).