New York City has agreed to pay the family of Akai Gurley more than $4 million to settle a wrongful- death lawsuit over his fatal 2012 shooting by a cop in the dark stairwell of a Brooklyn building.

The city will pay $4.1 million, while the New York City Housing Authority will pay $400,000, according to sources. And former cop Peter Liang, who was found guilty of criminally negligent homicide, will pay $25,000 to Kimberly Ballinger, the mother of Gurley’s young daughter Akaila.

The money will be put into a fund for Akaila, which can’t be touched without court approval until she is 18. But the money will be invested in rock-solid annuities that will actually provide the girl with an estimated $10 million over the course of her lifetime.

In November 2014, Liang, then a rookie New York Police Department officer, fired a bullet that ricocheted and struck Gurley in the stairwell of the Louis H. Pink Houses in East New York, Brooklyn. In February 2015, Liang — a Chinese-American — was found guilty of manslaughter and other criminal charges, following which he was fired from his job.

However, in April 2015, Brooklyn Supreme Court Justice Danny Chun reduced Liang’s charge to criminally negligent homicide and sentenced him to five years of probation and 800 hours of community service. After the sentencing, Liang said the shot was accidental.

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