Cmon give this person something beyond the ordinary...It's easy to count the number of continents and figure out the cost based on the list price. The more challenging ( and fun) part is how to more innovative on what is already common knowledge...Two obvious ideas that were overlooked (and I am surprised based on the handles that responded to this)

A) El/Al-Qantas- For the route this person is looking for, there is an EL AL Qantas RTW for about 5K plus taxes. Routing would likely be JFK TLV-LHR on LY and then QF to HKG-PER-SYD-LAX-JFK...As it is almost half the price of the standard U.S. RTW fare it is worth mentioning

B) If you want to stick with the One World product and are willing to pay $9,100 then you can get some more value by doing the following
1. One Way tkt on Delta or Continental to Tel Aviv at about $2,500
2. Start the Around the World in Tel Aviv which is $7,200 + taxes. While this works out to be slightly more in terms of cash, you get the added benefit of a flight back to Israel (via Europe) on One World for future use after this trip plus you get free flights in the U.S. to be able to use on AA.

Merry Christmas