no excel please, full equations only

4. A personal loan of $1,000 is made for a period of 18 months at an interest rate of 1.50% per month on the unpaid balance. If the entire amount owed is repaid in a lump sum at the end of that time, determine: a) The effective annual interest rate b) The total amount of interest paid 5. What nominal interest, compounded quarterly, is required to provide a 6% annual effective interest rate? A 12 % annual effective interest rate