Jim McIntyre uses the only really good way to put a loop into the end of a piece of bungee cord - with a seizing. When I do my own version of this, I begin with a whipping thread clove hitch about a quarter inch in from the end, pull tight and then double the shock cord as Jim is doing above before winding at least a centimetre's worth of tight turns around the doubled shock cord, starting from the clove hitch. When that horribly slow job is done, I finish off the first half of the job with a pair of clove hitches, one around each "strand" of shock cord. Then I wind more turns over the whipping thread turns already done until I get back to the first clove hitch that I started with and finish things off with another clove hitch around the standing part (long end) of the shock cord. I then cut off the whipping thread with about an inch (2.54 cm or so) to spare. This then should leave me two loose ends of thread that I can then tie together with a reef knot whose loose ends I in turn set on fire, blow out at the appropriate moment and then very quickly squish into the body of the seizing such that it, God willing, won't come undone any time soon.