Trump and Canadian Prime Minister Justin Trudeau have agreed to close the US-Canada border to all non-essential travel while the European Union is stepping up its border restrictions.
As investors flee to safe havens both the New Zealand dollar and the Australian dollar are taking a beating.
The kiwi traded at 57.47 US cents at 8am while the Australian dollar was at 57.74 US cents.
Shirley said the Aussie has been hit harder and that saw the cross move "fleetingly to parity, but it fell pretty sharply from there."
"We may well see another push to that level in the coming days," he said.
The kiwi last traded at 99.43 Australian cents, having touched A$1.0011.
ANZ Bank said it expects the kiwi dollar to "'chop a lot of wood' around parity. AUD just can't catch a break as hard commodities come under pressure."
The Aussie may fall further today if the Reserve Bank of Australia takes drastic action.
The RBA is due to make a policy statement this afternoon and governor Philip Lowe is scheduled to give a speech in Sydney.
Economists expect it to cut interest rates and launch its first ever quantitative easing programme.