Mrs. Williams finds that she has two options for investing $32000.02 for fifteen years. The first option is to deposit it into a fund earning a nominal rate of discount d^(4) payable quarterly. The second option is to purchase an annuity-immediate with 15 level annual payments, the annuity payments computed using an annual effective rate of 7%, and then when she gets the annuity payment, to immediately invest it into a fund earning an annual effective rate of 5%. She calculates that the second option produces an accumulated value that is $1,500 more than the accumulated value yielded by the first option. Calculate d^(4). The answer is 0.05579 Please show work