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- pls refer to the image attached, 1. suppose that you have the capacity to pay, would you rather borrow a loan that is amortized monthly, or one that is amortized quarterly? 2. what is your considerations when availing a loan? (quantitative or qualitative considerations) Discuss.(Note, this is how mortgage payments are calculated.) Payments on a loan are amortized when a fixed amount is paid at the end of each time period in order to pay off both the principle of the loan and the interest accumulated up to that point. At the end of each period, interest is charged on the amount still owing. Let P be the initial amount of the loan, and i > 0 be the interest rate charged (per period), R the size of the per period payment (paid at the end of each period), and Pt the amount that is still owed after t periods. So P0 = P(a) Find P1.(b) Find a first order linear recurrence for Pt.(c) Show that the solution to your recurrence relation isPt = (P-(R/i))(1+i)^t + (R/i)What are the Effects of Maturity on Monthly Payments on Fully Amortizing Loans?
- Explain constant amortizing mortgage (CAM)?Finding the total interest of a loan is similar to finding the total interest in an annuity's O present value O interest rate O periodic payment O future valueWhich of the following is true when the mortgage loan is an amortizing loan? a. At the beginning of the term of the loan the largest part of the payment is a paydown of principal, but a payments progress a rising portion is applied to interest payments. b. Interest payments and paydown of principal remain constant during the loan. c. At the beginning of the term of the loan the largest part of the payment is interest, but a payments progress a rising portion is applied to the paydown of principal. d. Paydown of principal occurs at the end of the loan. e. None of the above.
- Explain Partially Amortizing, Constant Payment Mortgage (CPM) Loans with example?What do we know about a loan, which is said to have annuity payments? a. This loan has annual cashflows only. b. This loan has only interest payments before maturity. c. This loan should be a mortgage loan. d. This loan has equal payment cashflows in all periods along its maturity.K Fill in the blank to complete the sentence below. A(n) rate mortgage may be completely amortized at the initiation of the loan. adjustable high low fixed
- 7. Time Value of Money: Amortized Loans An important application of -Select- interest involves amortized loans. Some common types of amortized loans are automobile loans, home mortgage loans, and business loans. Each loan payment consists of interest and repayment of principal. This breakdown is often developed in an amortization schedule. Interest is -Select- in the first period and -Select- over the life of the loan, while the principal repayment is -Select- in the first period and it -Select- thereafter. Quantitative Problem: You need $15,000 to purchase a used car. Your wealthy uncle is willing to lend you the money as an amortized loan. He would like you to make annual payments for 5 years, with the first payment to be made one year from today. He requires a 6% annual return. a. What will be your annual loan payments? Do not round intermediate calculations. Round your answer to the nearest cent. $ b. How much of your first payment will be applied to interest and to principal…Solve the following problems using the concept of amortization e. Prepare an amortization schedule for the present value of the loan after making the down paymentWhat relationship exists between the length of the loan and the monthly payment? How does the mortgage rate affect the monthly payment?