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Yield and Yield Spread Measures: practice question

Fixed Income · Yield and Yield Spread Measures · Question ID fi2-9

A bond of Pellworth Communications matures in exactly seven years and yields 6.12%. On-the-run government bonds yield 4.62% for five years and 5.29% for ten years. Using linear interpolation between the government benchmarks, the G-spread on the corporate bond is closest to:

  1. 83 bp
  2. 123 bp
  3. 150 bp
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Correct answer: B

Working: 7-year benchmark = 4.62 + (2/5) × (5.29 − 4.62) = 4.89%; G-spread = 6.12 − 4.89 = 1.23% ≈ 123 bp

Explanation: The seven-year benchmark is interpolated between the five- and ten-year yields: 4.62 + (2/5) × (5.29 − 4.62) = 4.89, so the G-spread is 6.12 − 4.89 = 1.23% ≈ 123 bp. Using the ten-year government yield instead gives 83 bp and using the five-year gives 150 bp; both skip the required interpolation step.

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Original, unofficial practice material; not a CFA Institute question.