A phase-locked loop (PLL) includes a state machine programmed to automatically produce a set of control signals to select a charge-pump current and integrating capacitance value to automatically adjust a loop bandwidth of the PLL. A charge-pump DAC generates a charge-pump current of magnitude controlled by the state machine control signals. An integrator integrates the charge-pump output current to produce an integrated charge-pump output signal. The integrator has a plurality of capacitors switchably selected by control signals from the state machine to produce an integrating capacitance value. A voltage controlled oscillator (VCO) produces a PLL output frequency in response to the integrated charge-pump output signal.