LeetQuiz Logo
Privacy Policy•contact@leetquiz.com
© 2025 LeetQuiz All rights reserved.
Chartered Financial Analyst Level 1

Chartered Financial Analyst Level 1

Get started today

Ultimate access to all questions.


A bond is priced at 99.4 with a modified duration of 6.9 and an annual convexity of -212. If the market yield increases by 75 basis points, the bond's price will be closest to:

Exam-Like


Explanation:

The correct answer is A (93.7). The percentage change in the bond's price is calculated using the formula:

%ΔP=−Modified Duration×ΔY+12×Convexity×(ΔY)2\%\Delta P = -\text{Modified Duration} \times \Delta Y + \frac{1}{2} \times \text{Convexity} \times (\Delta Y)^2%ΔP=−Modified Duration×ΔY+21​×Convexity×(ΔY)2

Substituting the given values:

%ΔP=−6.9×0.0075+12×(−212)×(0.0075)2\%\Delta P = -6.9 \times 0.0075 + \frac{1}{2} \times (-212) \times (0.0075)^2%ΔP=−6.9×0.0075+21​×(−212)×(0.0075)2

%ΔP=−0.05175−0.0059625=−0.0577125\%\Delta P = -0.05175 - 0.0059625 = -0.0577125%ΔP=−0.05175−0.0059625=−0.0577125

This results in a price decline of approximately 5.77%. The new bond price is:

99.4×(1−0.0577125)=93.663499.4 \times (1 - 0.0577125) = 93.663499.4×(1−0.0577125)=93.6634

Rounded to 93.7, which matches option A.

Option B (94.3) is incorrect because it uses par value (100) instead of the given bond price (99.4).

Option C (94.9) is incorrect because it incorrectly treats convexity as a positive value, leading to an inaccurate price adjustment.

Powered ByGPT-5