<< After a 100:1 RS the stock price would immediately be 100 times current price, or $16.25 at the current price of the stock. Why in the world would KBLB set an offering price at $4.25 if the stock price is $16.25? >>
First, after a reverse split, the share price almost ALWAYS tumbles. So KBLB will need to make sure that the price is high enough so that it will account for a probably tumble.
For example, when the reverse split was first announced two years ago, the share price tumbled from 50 cents to about 20 cents. That is a drop of 60%. And that was when the maximum for the reverse split was set at 40:1. Now it is set at 100:1.
I'm not sure a 100:1 reverse split will be required, but it will need to be at least 25:1 to get over the $4 minimum NASDAQ requirement. Once you add in some padding for an expected drop, I could easily see a 50:1 or 60:1 reverse split enacted (based on today's prices).
Second, the offering will be at a discount to the share price. So if the offering is set for $5.25, then the share price will probably be set around $6-$8. Nobody is going to want to buy shares for the going rate (especially large investors that are coming in through a firm such as Maxim), otherwise they would just buy shares on the open market.