Answer: none of the above. The correct answer is only $170! Just win the first $170 satellite you play, then just win the first $1,240 satellite you play, then voila, you get to play in a $10K event with a bankroll hit of only $170. ;)
An average or median player paying $10,300 cash for the WPT NAPC will have a -EV loss of -$500 ($300 fee + ~2% staff gratuity taken from prize pool), so an above average player who paid only $170 has an EV of well over +$9630. If that player dreams of playing in a $10K event and does not need the cash, then he is correctly maximizing both his utility and EV by playing instead of selling the voucher for $9630 or less.
If the Waterloo prodigies waited for their poker bankroll to reach $1 million before taking +EV shots at $10K events through satellites, then they would still be waiting years from now instead of being WPT/EPT millionaire champions this year. Had I sold the $2,100 seats that I won at the Casino Brantford satellites last year instead of taking the +EV shots at the Ultimate Poker Challenge, then I wouldn't have built up my bankroll and would still be stuck playing at the micro buy-ins.
Just because you don't particularly like tournaments doesn't mean that you should deprive +EV tournament players from maximizing their utility by getting to experience big events through cheap satellites. So let's say that I win three or more $10,300 vouchers, are you saying that I should sell ALL of them at a discount because I don't have a $1 million bankroll, instead of using one voucher and take a +EV FREEROLL shot?
ReefAquarium;163249 wroteHow much bankroll do you need to play 10K events?