Sam wants to donate \\( \\$ 1,000,000 \\) to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of \j4=4.93 p.a. effective and the first scholarship will be first awarded 2.5 years after the date of the donation. (b) Assume that the fund's earnings rate rate has changed from \j4=4.93 p.a. to \j4=4.68 p.a. one year before the first scholarship payment. How much does Sam need to add to the fund at that time (one year before the first scholarship payment) to ensure that scholarship amount will be unchanged (rounded to two decimal places)? a. 57417.42 b. 61494.62 c. 58554.09 d. 54404.83