"Swiss National Bank (SNB) contractual rules mean Mr Hildebrand will be paid a year's salary," Le Matin newspaper said.
Le Temps reported that the ex-bank chairman was paid 861,900 Swiss francs ($908,000) in 2010.
The initial six months salary cover the bank's notice period, even though Hildebrand left his post with immediate effect, said reports.
The remaining payments act as compensation for a ban imposed by the SNB on him taking up a position with another bank.
Senior executives quitting the central bank may take up work in a different line straight away, if agreed by its governing council.
Hildebrand stepped down on Monday after conceding that he had no conclusive evidence to prove he did not know about a dollar deal by his wife weeks before an intervention by the SNB to halt the rise of the franc -- a move that saw the dollar rise significantly against the Swiss currency.
Kashya Hildebrand, who profited after buying $504,000 last August said she had failed her husband by not considering that it could have been perceived as a conflict of interest.
An independent investigation into the couple's transactions cleared them of any wrongdoing.