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CFA Level I · CFA Level I Exam · Yield-Based Bond Duration Measures and Properties

A bond portfolio has a modified duration of 5.0. Yields on all bonds in the portfolio rise by 20 bps in a parallel shift. Ignoring convexity, the portfolio value is most likely to:

The portfolio value would fall by about 1.0%. Price change is approximately minus modified duration times the yield change, so minus 5.0 times 0.20% equals minus 1.0%. Rising yields reduce bond prices, so a rise in value is the wrong direction.

  1. Afall by about 1.0%Correct
  2. Brise by about 1.0%
  3. Cfall by about 0.1%

Explanation

The percentage price change is approximately -ModDur x change in yield = -5.0 x 0.0020 = -1.0%. The portfolio therefore falls by about 1.0%. A 0.1% fall results from misplacing the decimal, and a rise has the wrong sign.

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