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Chartered Financial Analyst Level 1

Chartered Financial Analyst Level 1

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An analyst gathers the following information about an option-free bond:

  • Par value: $1,000,000
  • Current market value: $912,575
  • Duration: 2.4 If yields are expected to decrease by 50 basis points, the expected price change for the bond is closest to:

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Explanation:

The correct answer is A because modified duration estimates the percentage price change for a bond given a change in its yield-to-maturity. A modified duration of 2.4 implies a 2.4% price change for a 100 basis points change in yield. For a 50 basis points decrease in yields, the bond's price change is calculated as: (2.4)(0.0050)(912,575)=912,575) = 912,575)=10,951, which rounds to $11,000.

  • B is incorrect as it uses an erroneous calculation: (0.024)(912,575)=912,575) = 912,575)=21,902 ≈ $22,000.
  • C is incorrect as it uses an incorrect base value: (0.024)(1,000,000)=1,000,000) = 1,000,000)=24,000.
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