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Chartered Financial Analyst Level 1

Chartered Financial Analyst Level 1

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A five-year semiannual bond has a yield to maturity of 8%. Converted to a quarterly periodicity, the yield to maturity is closest to:

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Explanation:

The correct answer is C because the conversion from a semiannual yield to maturity (APR₂) to a quarterly yield to maturity (APR₄) requires the formula:

(1+APR22)2=(1+APR44)4(1 + \frac{APR₂}{2})^2 = (1 + \frac{APR₄}{4})^4(1+2APR2​​)2=(1+4APR4​​)4

Substituting the given semiannual yield of 8% (0.08):

(1+0.082)2=(1+APR44)4(1 + \frac{0.08}{2})^2 = (1 + \frac{APR₄}{4})^4(1+20.08​)2=(1+4APR4​​)4

Solving for APR₄/4 gives 1.98%, and multiplying by 4 for the annualized quarterly yield results in 7.92%. This aligns with the principles of fixed income analysis for converting yields across different compounding periods.

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