Thinking (surely, a first name wouldn´t go amiss since you are asking others for help?), your query is indeed a common one but not helpfully framed.
Is the 100K (sorry, no BSP key on this keyboard) the ONLY money you plan to spend. Does it include the boat PLUS outfitting it? Does it include your cruising budget? If so, for how many years (you can do a circle in slightly more than 1.5 years or take decades...)? And what route, which determines to some extent the features and build quality required by the boat? Yes, you have more than enough money to buy a boat that would get you around...but info re: the above questions will shape what kind of boat.
In general, the longer you plan to be out and the farther you plan to go, the more your cruising budget will be affected by the size and build quality and complexity of your boat choice. IOW if you stay smaller (arbitrarily, let´s say 10M or so) and simplier, then you have more than enough money to buy the quality of yacht you´d want and with the features and key offshore systems and gear you truly need. The bigger you go, the more you will compromise on the quality of the boat and the quality of the gear you put aboard...and the better the chance that you will find yourself ´boat poor´ half way thru the adventure.
Pick up a copy of Beth Leonard´s _Offshore Voyager_ (I think that´s the correct title) and read the section on how boat choice relates to boat cost and also to the larger scope of financial issues that we all face, inside of which we must fund our yachting adventures. You´ll find her writing to be clear and her knowledge sound.