Is $2,600.00 about right to replace the auto transmission of a 2000 S70? thanks

I own a 2000 SE70 (AT) with 85,000 miles. On a cold start the gears all change smoothly except when going from 2nd gear to 3rd gear. When this happens, there seems to be a sudden urge for the car to get to the 3rd gear quickly and/or a slight jarring feeling that the car produces. Once the car has b...