Courtesy of Logopedia:

1991–2011
Continental Airlines
On February 12, 1991, Continental unveiled a completely new logo and livery. The logo shows a part of a globe with highlighted longitudes and latitudes. Most of the livery would be white, with the exception of the tail which would be blue with the company logo on it. The new look was the result of 14 months of research and design by Lippincott & Marguiles in New York.

I'd say its time for a new paint scheme considering the current one is nearly 25 years old. I'd p!55 some money away on new paint, rather than $4 billion in UAL stock.