NEW YORK — Mayor Michael Bloomberg says he knows how he will be voting in next month’s presidential election. But thus far, he’s not telling.

For the mayor, a successful bid to back a winning candidate has the potential to make him look like a kingmaker with a powerful political future despite his waning days in elective office. But some analysts question whether a Bloomberg endorsement would be a curse or a blessing for either candidate — or for the mayor himself.

Earlier this year, some corners of the political blogosphere were abuzz with speculation about the possible benefits of a public boost from the Democrat-turned-Republican-turned-independent. Both Mitt Romney and Vice President Joe Biden have met with Bloomberg.

Some suggested that the mayor’s connections to Wall Street’s moneyed elite could deliver a wealthy donor base to the right candidate. Others said his reputation as a pragmatic-minded moderate with a disdain for partisan paralysis could help deliver undecided voters.

Bloomberg’s deep pockets — Forbes magazine estimates his net worth at $25 billion — mean that he himself could be a valuable supporter in the age of the unfettered super PAC.

But thus far, the mayor has taken the same route as he did in 2008, when he said he was keeping his decision to himself out of prudence.

‘‘The mayor has to work with whomever wins,’’ Bloomberg said Thursday.