Solve the problem with the mathematical symbols given by the problem

2.3 Mortgage Loan Denote with L the amount borrowed from a bank to purchase a property. This loan needs to be paid back over n months with equal payments of A at the end of each month. The monthly interest rate of the loan rm =r/12, compounded monthly. Answer the following: 1. What is the value of A as a function of L, rm, and n 2. After payment has been made at the end of month j with j = 0,..., n, how much loan principal remains? 3. How much of the payment during month j is for interest and how much is for principal reduc- tion? Note: Provide the analytical solution to this problem. 2.3 Mortgage Loan Denote with L the amount borrowed from a bank to purchase a property. This loan needs to be paid back over n months with equal payments of A at the end of each month. The monthly interest rate of the loan rm =r/12, compounded monthly. Answer the following: 1. What is the value of A as a function of L, rm, and n 2. After payment has been made at the end of month j with j = 0,..., n, how much loan principal remains? 3. How much of the payment during month j is for interest and how much is for principal reduc- tion? Note: Provide the analytical solution to this