The day three batting partnership of double centurion Ross Taylor and the irrepressible Kane Williamson helped swing momentum further in New Zealand's favour, with Australia sliding out to $4 and the visitors remarkably closing in to $6, with the draw down to $1.47.
Despite their best efforts, the Black Caps lost ground late yesterday when Australian captain Steve Smith (131no) and Adam Voges (101no) steadied the ship in their second innings, to send them into today's fifth day at 258 for two, ahead by 193 runs.
TAB bookmaker Mark Stafford has been surprised by the degree of changing fortunes in the test after New Zealand's prospects looked so bleak prior to their arrival in Western Australia.
"We were afforded no chance whatsoever to win, they were paying moon money," Stafford said.
"You don't see this much fluctuation in most test matches, especially when the first team scores 550.
"The other team pretty much goes out to $30 and stays there, or just keeps drifting. And then just as New Zealand boxed on we saw their price drop and the draw drop and then Australia go out.
"And then yesterday, we saw it going back the other way again, and the draw, it's not unbackable at $1.17.
"So it's all up to Steve Smith now, whether he declares or not."
Regardless of the outcome of the second test, Stafford is confident New Zealand's rise in form should alter the betting landscape significantly going into the third and final test at the Adelaide Oval on November 27.
"I think we'll see it a lot closer price-wise for the third test, given the form of Williamson and Taylor, and also the return form of Tim Southee," he said.
"There was a big cloud over him lasting five days but he's bowling really well.
"It looks like we've got the cricket under our belt now that we needed for it to be a really competitive third test."