
Answer-first summary for fast verification
Answer: 9.7%.
To annualize the return over a 16-month period, the correct approach involves using the formula for annualized returns: \[ T_{\text{annual}} = (1 + T_{\text{period}})^c - 1 \] where \( c \) is the number of periods in a year. For 16 months, \( c = \frac{12}{16} = 0.75 \). Substituting the given return of 13.1% (0.13100): \[ (1 + 0.13100)^{0.75} - 1 = 1.09672 - 1 = 0.09672 \text{ or } 9.7\% \] Option A (9.3%) is incorrect as it represents the monthly compound return annualized by multiplying by 12. Option C (9.8%) is incorrect as it uses the arithmetic mean return, which is not appropriate for annualizing compound returns.
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