Olivier Sarkozy, managing director of global financial services at Carlyle Group LP, sold his four- story home on Manhattan’s Upper East Side for $8.4 million, 20 percent less than he initially sought.

The sale of the 8,075-square-foot (750-square-meter) carriage house on East 75th Street near First Avenue was completed on Jan. 20, according to city property records filed yesterday. The home first went on the market in March with a $10.5 million asking price, according to property-listing website StreetEasy.com.

“The building is set up as a beautiful residence to accommodate a large family, but requires almost no construction for use as commercial offices, showrooms, galleries or a hybrid thereof,” according to the listing by Jared Seligman of New York-based brokerage Prudential Douglas Elliman Real Estate.

Sarkozy, half-brother of French President Nicolas Sarkozy, declined to comment on the sale. Seligman didn’t immediately return telephone calls seeking comment today.

The buyer of the property was listed as Studio 407 LLC, according to city records.

The house has six bedrooms, six bathrooms, five half bathrooms, an outdoor terrace and a garden off the second-floor kitchen, according to the listing.

Sarkozy bought the property in March 2005 for $6.5 million using a mortgage of $1.1 million, according to property records.

Purchases of Manhattan luxury apartments, defined as the top 10 percent of all sales by price, declined 13 percent in the fourth quarter to 201 deals, according to a Jan. 4 report by New York appraiser Miller Samuel Inc. and Prudential Douglas Elliman. The median price of those transactions dropped 4.6 percent to $4.15 million.