Discussion
If sex ratio of birth is constant at 1.05, then the Gross Reproduction Rate (GRR) can be calculated using Total Fertility Rate (TFR) by the formula
Answer: C
With a sex ratio at birth of 1.05, the gross reproduction rate is the total fertility rate times 1.00 divided by 2.05.
The gross reproduction rate counts only daughters, so it is the TFR multiplied by the share of girl births. If there are 1.05 boys for each girl, the share of girls among all births is
\[ \frac{1.00}{1.00 + 1.05} = \frac{1.00}{2.05} \]
Hence
\[ \mathrm{GRR} = \frac{1.00\ \mathrm{TFR}}{2.05} \]
The first option divides by 1.05, which would give the ratio of girls to boys and not the share of girls. The second and fourth options put TFR in the denominator, which would make GRR fall as fertility rises, so they cannot be right.
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