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?
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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