A baby girl arrives early for the actor and wife Kimberly Wallis
Credit: courtesy Jeremy Licht

Jeremy Licht, former child star of the ’80s sitcom The Hogan Family, and his wife Kimberly Wallis Licht welcomed their daughter New Year’s Eve, he tells PEOPLE exclusively.

Jordan Zoey Licht was born 5½ weeks early at 10:59 p.m. on Dec. 31 at Cedars-Sinai Medical Center in L.A.

“We were planning to go to a New Year’s Eve party when my wife started having contractions,” says Licht, 38, who played Jason Bateman’s brainy brother on the series. “I’m thrilled – shocked that it was this soon, but thrilled. Everybody’s healthy, and it really was an incredible experience.”

Jordan weighed 4 lbs., 10 oz. and was 18½ inches long. “She’s already taller than me.” quips Licht, who says he’s enjoying feeding the baby and even changing her diapers. “My time is 4 a.m. on so my wife can get some sleep. I really love the time I have with her.”

Licht and his wife Kimberly, 38, an actress who has appeared on episodes of CSI: NY and Charmed, married over Memorial Day weekend in 2007. It’s the second marriage and first child for both.

“My wife is such a trooper,” says Licht, who now runs his own financial planning company, JL Capital Management. “I’m a blessed man.”

Licht announced the impending birth to PEOPLE in December 2008.