Scenario:
The shares sell for 2BTC each. I have 200 BTC, and purchase 100 shares. The first week I receive 6.5BTC dividend, a 3.75% return on my 200BTC. The second week, I get a 6.5BTC dividend, again a 3.75% return on my 200BTC investment. The numbers don't converge, I'll always be receiving a 6.5BTC return on my 200BTC investment.
In the end it depends on your reinvestment strategy. As shares will _always_ be available at ~1.02 (I still would prefer 1.01 by the way, I don't really see where 2% fees come into play!) you can buy 6 additional shares from the first dividend, 6 more shares from the 2nd dividend etc.
If you buy 100 shares for 102 BTC, after 1 single dividend all you need to do is to buy the remaining 2 shares and donate the rest to charity/GLBSE/... and act as if you started 1 week later.