"whose finances" is correct and commonly used in written English.
It is used to show possession or ownership of finances by someone. Example: The company, whose finances were struggling, had to lay off several employees.
Draw Something has charted a turnaround for OMGPop, whose finances were flailing.
The cost of funding then switches to local councils, whose finances are under huge pressure.
She also pointed to families whose finances were heavily affected by the recession.
Both have a character whose finances are a point of contention.
They did, however, pay hefty fees to an agency whose finances were controlled by Ilyumzhinov.
Most ordinary couples face acute hardship when they divorce - the women in particular, whose finances usually nosedive.
The party, whose finances are already tight, will lose out on what amounts to one third of its annual budget.
If Athens, whose finances were now strong again, wanted outlets for its aggression, it would have to find them elsewhere than in the Peloponnese.
He is a less influential Tory than, say, Caroline Spelman, the party chairman, whose finances are currently and embarrassingly being investigated by the parliamentary commissioner for standards.
Can Greece, whose finances are in even worse shape than Hungary's, follow its example, particularly if Athens does not receive any outside help to ease the pain?
For those sceptical about the NBS data she also analyses the profits of Chinese companies listed overseas, whose finances are audited according to international accounting standards.
