A loan is to be repaid to the bank by regular instalments, annually in arrears. The first instalment is $5,000, the second is $4,900, the third is $4,800, and so on with payments reducing by $100 per annum until the end of the 20th year, at which time the outstanding loan is zero and there are no further payments. The interest rate charged on this loan is 5% per annum (effective). a. Find the size of the loan. b. What are the interest and principle components of the 11th payment? c. How much interest is paid during the last ten years of the loan? (Hint: you can use part of the results from part b.)