Yes, the World Bank's IBRD is financially sound, because the IBRD raises money to back the loans that it makes. The World Bank also vets projects before it awards money. The IBRD has ways to manage its finances while administering loans in a way that promotes progress through anti-poverty initiatives. The strategy includes sound finances.
The loan strategy of the World Bank for Reconstruction and Development is faulty and inconvenient. Loans should only be dispersed through individual banks and credit unions, as opposed to big bank power, such as that of the IBRD. There are more high risk variables in the loan strategies of the World Bank, issues that are not present from private loans.