Using today's currency conversion rates, the AONE3 (3 continent first class) RTW fare ex-USA is $8,400 and ex-BKK is $5,856. Both fares exclude the various airport taxes that you will have to pay with any ticket you buy.

As christep noted, your proposed itinerary would work. You actually get a total of six segments in NA, four in Asia and four in Europe on each ticket. The intercontinental segments (i.e. NA-Europe-Asia-NA) do not count against these limits. There are some limits on how you can use these segments (e.g. only one transcon in NA, limited segments to certain countries in Europe when traveling to/from LHR, only two stopovers >24 hours in the continent of origin) but your proposed itineraries are not a problem.

[This message has been edited by ExMo (edited Dec 30, 2003).]