Harleen has deposited $125 at the end of each month for 13 years at 4.68% compounded monthly. After her last deposit she converted the balance into an ordinary annuity paying $890 every three months for nine years. What is the nominal annual rate of interest, compounded quarterly, paid by the annuity? The nominal rate is % compounded quarterly. (Round the final answer to six decimal places as needed. Round all intermediate values to six decimal places as needed.)