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Answer: 4.2%.
The correct answer is **A (4.2%)**. **Explanation:** When fixed-rate bonds are not actively traded, the market discount rate can be estimated using **matrix pricing**, which involves interpolating between the yields of comparable bonds with similar credit quality and maturities. In this case, linear interpolation is the appropriate method. Using the yields of Bond 1 (3 years, 3.4%) and Bond 2 (8 years, 5.4%), the estimated market discount rate for a 5-year bond is calculated as follows: \[ \text{Estimated Rate} = 0.034 + \left(\frac{5 - 3}{8 - 3}\right) \times (0.054 - 0.034) = 0.034 + \left(\frac{2}{5}\right) \times 0.02 = 0.042 = 4.2\% \] - **Option B (4.4%)** is incorrect because it uses a simple average of the yields, which is not the correct method for interpolation. - **Option C (4.6%)** is incorrect because it incorrectly applies linear interpolation from the wrong end of the interval.
Author: LeetQuiz Editorial Team
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An analyst gathers the following information for two bonds with similar credit quality:
A
4.2%.
B
4.4%.
C
4.6%.
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