The health insurer named Tim Noel, a longtime employee of its parent company, for the job. The previous chief executive, Brian Thompson, was killed in Manhattan.

But high medical costs contributed to results that disappointed Wall Street, and the company’s stock fell on the news that it had made less than analysts expected.

They were the bright lights during a rocky year, making the city a cooler, and fairer, place to be.

The manhunt for the gunman who fatally shot Brian Thompson, chief executive of UnitedHealthcare, entered its fifth day, and the police released two new images.

© NYPD, via Associated Press

As a doctor, I’ve been on both sides of frustrating health care debacles.

© Sasha Arutyunova for The New York Times

The company has been accused of using algorithms to deny treatments and refusing coverage of nursing care to stroke patients.

© Christopher Lee for The New York Times