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Answer: Bond 3
The Macaulay duration of a fixed-rate bond is influenced by its coupon rate, yield to maturity, and time to maturity. A higher coupon rate or yield to maturity reduces the duration, while a longer time to maturity typically increases it. For bonds priced at a premium or par, this relationship holds consistently. - **Bond 1** has a lower coupon rate (4%) and yield to maturity (4%) compared to Bond 3, along with a longer maturity (10 years). Thus, its Macaulay duration is higher than Bond 3's. - **Bond 2** has the same yield to maturity (5%) as Bond 3 but a lower coupon rate (4%) and longer maturity (11 years), resulting in a higher Macaulay duration than Bond 3. - **Bond 3** has the highest coupon rate (5%), the same or higher yield to maturity (5%), and the shortest time to maturity (9 years), making its Macaulay duration the lowest among the three. This demonstrates how a bond's coupon rate, yield level, and maturity collectively determine its interest rate risk.
Author: LeetQuiz Editorial Team
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An analyst evaluates three option-free bonds trading at a premium with the following characteristics:
A
Bond 1
B
Bond 2
C
Bond 3
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