A loan of $100,000 is to be repaid by two equal repayments of X. One repayment is due at the end of 2 years, the second repayment is due at the end of 6 years. The interest rate is at 4% p.a. compounded quarterly for the first 3 years and then 4.4% p.a. compounded quarterly thereafter. What is the size of each repayment?

a. $57,989.46

b. $56,779.19

c. $58,222.14

d. $58,762.97