Definitions of infant mortality rates

Which of the following is/are correctly defined?

I. Neonatal Mortality Rate (NMR) is defined as

$$\mathrm{NMR}=\frac{\text{Number of infant deaths of less than $29$ days during the year}}{\text{Number of live births during the year}}\times1000$$

II. Post-Neonatal Mortality Rate (PNMR) is defined as

$$\mathrm{PNMR}=\frac{\text{Number of infant deaths of less than one year during the year}}{\text{Number of live births during the year}}\times1000$$