Feedback divider: $N=2$.
VCO gain: $K_{\mathrm{VCO}}=1.57 \times 10^9 \mathrm{rad} /(\mathrm{V} \cdot \mathrm{s})$.
Phase-detector gain (with $V_{D D}=1 \mathrm{~V}$ ): $K_{P D}=\frac{1}{4 \pi} \approx 0.079577 \mathrm{~V} / \mathrm{rad}$.
Lock range: $\Delta f_L=20 \mathrm{MHz}$ (so $\Delta \omega_L=2 \pi \cdot 20 \times 10^6 \mathrm{rad} / \mathrm{s}$ ).
Damping ratio: $\zeta=1$ (critical damping).
From $\Delta \omega_L=4 \pi \zeta \omega_n$, the natural frequency is $\omega_n=10 \times 10^6 \mathrm{rad} / \mathrm{s}$ (i.e. $f_n \approx$ 1.5915 MHz ).

Loop time constant requirement: $R_2 C=200 \mathrm{~ns}$.
Chosen component values: $C=10 \mathrm{pF}, R_2=20 \mathrm{k} \Omega$.
Computed resistor: $R_1=42.5 \mathrm{k} \Omega$.
VCO operating range used in the example: about $50-150 \mathrm{MHz}$.