hard · Certified Financial Planner General Principles

The Brennan family is concerned about the impact of interest rate changes on their 500,000 bond portfolio, which has a duration of 7.2 years.

If interest rates rise by 100 basis points, which of the following best describes the expected change in the portfolio's value accounting for convexity?

  1. The portfolio value will drop by exactly $36,000.
  2. The portfolio value will increase slightly because the positive convexity of the bonds offsets the negative duration.
  3. The portfolio value will drop, but the actual loss will be slightly less than $36,000.
  4. The portfolio value will drop by more than $36,000 because duration understates price sensitivity in a rising rate environment.

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