Melissa Adams has just given an insurance company $59,525. In return, she will receive an annuity of $6,129 for 15 years.

a. At what rate of return must the insurance company invest this $59,525 to make the annual payments? (Use a Financial calculator to arrive at the answers. Round the final answer to 3 decimal places.)

Rate of return %

b. What rate of return is required if the annuity is payable at the beginning of each year? (Use a Financial calculator to arrive at the answers. Round the final answer to 2 decimal places.)

Rate of return %