The Commissioner shall have supervision over all Delaware savings and loan holding companies and shall have the right to examine all such companies, including their nonbank subsidiaries. The costs of the examination shall be assessed against and paid by the company in an amount to be set by regulation of the Commissioner. The examination authorized by this section may be conducted jointly, concurrently or in lieu of examinations made by a federal bank regulatory agency. The Commissioner may use, to the extent deemed feasible, filings and reports made by the company to federal or other State bank regulatory authority pursuant to a written agreement providing for the exchange of reports of examination between the Commissioner and the federal or other State bank regulatory authority.