At an annual meeting or at any special meeting of the members or stockholders called to consider such action, any federal mutual or capital stock savings association or federal mutual or capital stock savings and loan association, hereinafter in this subsection called “federal association,” may apply for conversion into a state-chartered association under this chapter upon an affirmative vote of fifty-one percent (51%) or more of the total number of votes of the members eligible to be cast or an affirmative vote of sixty-six and two-thirds percent (66-⅔%) or more of all the issued and outstanding stock of such federal association. Upon such affirmative vote, the federal association may apply for a certificate of authority by filing with the commissioner a certificate signed by its president or secretary which sets forth the corporate action herein prescribed and asserts that the institution has complied with the provisions of the laws of the United States. The federal association shall also file with the commissioner the plan of conversion and the proposed amendments to its articles of association as approved by the members or stockholders for the operation of the association as a state-chartered association. Upon receipt of such application, the commissioner shall examine all facts associated with the conversion. The expenses and costs incurred for such special examination shall be paid by the institution applying for permission to convert. The commissioner shall present his findings and recommendations to the State Board of Banking Review for consideration. Upon approval by the State Board of Banking Review, the commissioner shall issue a certificate of authority to the applicant allowing the conversion to proceed.