The phrase "bankroll of" is correct and usable in written English.
You can use it to refer to a collection of money that someone can draw on for financial support or investments, or to fund a particular activity or enterprise. For example: "The newly opened theater was able to open thanks to a generous bankroll of private investors."
I might have bought the desk, or any of the dozens of other pieces that I've coveted, if only I had the bankroll of a Facebook founder.
With the $1.4 million first-place check, Animal Kingdom, the son of Leroidesanimaux, plumped the bankroll of his owners, Team Valor International.
At the same time, the Republican National Committee has planned to amass a large bankroll of soft money, the unlimited contributions from corporations, unions and wealthy individuals.
For a quarterback with an endless bankroll of good will, Favre only added to his legend, in Green Bay and beyond its borders.
The colt has now won four of seven starts, and the $600,000 first-place check increased the bankroll of his owners, Gainesway Farm and Martin Cherry, to more than $835,000.
"If someone said, 'Here's a field, here's a stage, and here's 200,000 people', I'm sure Liam would jump up and do it, and I don't think it would even take anyone offering him a massive bankroll of money.
Parents of 5-year-old T-ball players are essentially bankrolling out-of-state bus trips for a handful of 12- to 16-year-olds.
Colonel Qaddafi's bankrolling of terrorist organizations set him on a collision course with the West.
Iran's offer of free electricity to Shia parts of Iraq is one example, Venezuela's bankrolling of Cuba another.
"The sector and its institutions must be held to account for their bankrolling of climate change and environmental destruction".
He did not sound dissuaded yesterday, saying he believes that Mr. Bloomberg's self-bankrolling of his campaign will backfire.
