hard · Principles of Finance valuation

A pension fund must immunize a liability with a Macaulay duration of 6.0 years using two bonds currently held in its portfolio: Bond A, with a duration of 3.5 years, and Bond B, with a duration of 9.2 years.

What weights in Bond A and Bond B produce a portfolio duration that matches the liability?

  1. 43.86% in Bond A; 56.14% in Bond B
  2. 56.14% in Bond A; 43.86% in Bond B
  3. 50.00% in Bond A; 50.00% in Bond B
  4. 65.22% in Bond A; 34.78% in Bond B

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