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Answer: 3.23%.
The correct answer is **B (3.23%)**. The implied forward rate is derived from the relationship between the spot rates of the two- and three-year zero-coupon bonds. The discount factors for the two-year and three-year bonds are calculated as follows: - **Two-year bond**: DF₂ = 0.96 = 1 / (1 + Z₂)² → Z₂ = 2.0621% - **Three-year bond**: DF₃ = 0.93 = 1 / (1 + Z₃)³ → Z₃ = 2.4485% The implied forward rate (IFR₂,₁) between the second and third year is calculated using the formula: (1 + Z₂)² × (1 + IFR₂,₁) = (1 + Z₃)³ Substituting the values: (1.020621)² × (1 + IFR₂,₁) = (1.024485)³ Solving for IFR₂,₁: (1 + IFR₂,₁) = (1.024485)³ / (1.020621)² = 1.032258 IFR₂,₁ = 1.032258 - 1 = 3.2258% ≈ 3.23%. This calculation aligns with the principles of forward rate determination in fixed-income securities, where the forward rate is inferred from the term structure of interest rates.
Author: LeetQuiz Editorial Team
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