Problem 3 (20 points) You got a loan from the bank for $50K over a period of 5 years under the following terms 1. For years 1 and 2, the fixed annual interest rate is 4% compounded monthly. 2. For years 3, 4, and. 5, the fixed annual interest rate is increased to 6% compounded monthly upd. (a) Find the fixed monthly payment to pay off the loan plus interest by the end of 5th year. (b) Compare your fixed monthly payment in part a) with the fixed montly payment based on fixed interest rate of 4% for all 5 years. (c) Calculate the total interest paid by the end of the 5th year with the variable interest rate Le, 4% for years 1, 2 and 6% for years 3, 4, 5. (DIRECTIONS: Clearly write down all equations and calculations. No financial calculators are allowed)