triangular arbitrage 'shortcut' shortcut, sometimes, convert, currency

BC_MBA_student

Can someone PLEASE confirm this for me...

my 'shortcut' is basically that when I come across a triangular arbitrage problem, I've been setting up all the currency bid-ask spreads (so taking reciprocal and switching them if need be) so that I would always have to multiply through to convert currencies. I then always multiply at the bid. (as this is the rate leaving me 'worse' off)

one problem is i sometimes don't know exactly which order to convert in, so I do it both ways (around the triangle) and use whichever one gave me the positive arbitrage profit

much appreciated in advance