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AcadiFi
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PortfolioMgr_LA2026-04-10
cfaLevel IIIFixed Income

How do you calculate a bond's duration contribution to overall portfolio risk?

I understand that modified duration measures a single bond's interest rate sensitivity, but my CFA study material mentions 'duration contribution' as a portfolio-level concept. How does one bond's duration feed into the portfolio's total duration, and how is this used for risk allocation decisions?

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Duration contribution measures how much each individual holding contributes to the portfolio's overall interest rate sensitivity. It is the cornerstone metric for fixed-income portfolio risk allocation and allows managers to see which positions are driving rate risk.\n\nThe Formula:\n\nDuration Contribution_i = Weight_i x Duration_i\n\nPortfolio Duration = Sum of all Duration Contributions\n\nWhere Weight_i is the market value of position i divided by total portfolio market value, and Duration_i is the modified duration of that position.\n\nWorked Example:\n\nCalderstone Bond Fund has three holdings:\n\n| Bond | Market Value | Weight | Modified Duration | Duration Contribution |\n|---|---|---|---|---|\n| Ashwick Corp 3.2% 2029 | $42M | 35.0% | 4.8 | 1.680 |\n| Pemberton Govt 2.1% 2035 | $48M | 40.0% | 8.3 | 3.320 |\n| Whitfield Muni 4.5% 2027 | $30M | 25.0% | 2.9 | 0.725 |\n| Total | $120M | 100% | | 5.725 |\n\nPemberton government bonds contribute 3.320 / 5.725 = 58% of the portfolio's interest rate risk despite being only 40% of market value. This disproportionate risk contribution signals that a rate shock would impact the portfolio primarily through this one position.\n\nRisk Allocation Decisions:\n\nA manager expecting rates to fall might increase the Pemberton weight to amplify duration contribution. Conversely, a defensive manager wanting to reduce rate exposure would trim Pemberton and add shorter-duration positions like Whitfield.\n\nKey vs Effective Duration:\n\nFor portfolios containing callable or mortgage-backed bonds, use effective duration (which accounts for embedded optionality) instead of modified duration. A callable bond's effective duration shortens as rates fall because the call option becomes more valuable, reducing the bond's price sensitivity.\n\nSpread Duration Contribution:\n\nThe same framework applies to credit spread risk. Spread duration contribution = Weight_i x Spread Duration_i. This reveals which holdings drive the portfolio's sensitivity to credit spread changes, separate from benchmark rate movements.\n\nExam Insight:\nDuration contribution is additive across positions, making it straightforward to see how adding or removing a holding changes total portfolio duration. This makes it the preferred risk decomposition tool for CFA Level III constructed-response questions.\n\nExplore portfolio duration management in our CFA Fixed Income course.

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