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- Problem 5-1 A price level adjusted mortgage (PLAM) is made with the following terms: Amount $95,900 Initial interest rate = 4 percent Term = 30 years = 6 percent Payments to be reset at the beginning of each year. Assuming inflation is expected to increase at the rate of 6 percent per year for the next five years: Required: a. Compute the payments at the beginning of each year (BOY). b. What is the loan balance at the end of the fifth year? c. What is the yield to the lender on such a mortgage?Assume that a lender offers a 30-year, $150,000 adjustable-rate mortgage (ARM) with the following terms:Initial interest rate 7.5 percentIndex 1-year TreasuriesPayments reset each yearMargin 2 percentInterest rate cap 1 percent annually; 3 percent lifetimeDiscount points 2 percentFully amortizing; however, negative amortization allowed if interest rate caps reachedBased on estimated forward rates, the index to which the ARM is tied is forecasted as follows:Beginning of year (BOY) 2 7 percent; (BOY) 3 8.5 percent; (BOY) 4 9.5 percent;(EOY) 5 11 percent.Compute the payments, loan balances, and yield for the ARM for the five-year period.Problem 5-1 A price level adjusted mortgage (PLAM) is made with the following terms: Amount = $95,200 Initial interest rate = 4 percent Term = 30 years Points = 6 percent Payments to be reset at the beginning of each year. Assuming inflation is expected to increase at the rate of 6 percent per year for the next five years:
- QUESTION 1 A bank makes a 30 year Fully Amortizing, Fixed Rate Mortgage (FRM) for $2,000,000 at an annual interest rate of 4.125% compounded monthly, with monthly payments. What is the market value of this loan after 7 years of payments if the annual interest rate for this loan is 10% compounded monthly? O A. $ 680,688.05 O B. $1,045,425.62 OC. $1,726,113.67 O D.$1,101,017.634 Loan Amortization Table Prepare a Loan Amortization Table with a 30-year loan term, 3.5% interest rate, loan fee of 1.75%, $12,000,000 loan amount. Calculate the monthly loan payment, loan proceeds and the loan balance at the end of year 10.Question 3: The interest rate for the first five-year term of a $400,000 mortgage loan is 3.3% compounded semi-annually. The mortgage requires monthly payments over a 25-year period. Suppose that, at the end of the third year of the mortgage, the borrower makes a prepayment of $80,000. How much will the amortization period be shortened?
- Problem 5 You have the following two mortgage choices: Mortgage Amount Term The payment rises each year Discounts Points Costs with Loan Orignation Fixed-rate Mortgage $100,000 3 years with annual PMT 0 $1,000 2/1 Interest-only ARM $100,000 3 years with annual PMT 0 $1,000 Initial Contract Interest Rate 11.00% Margin Caps Market Index Calculate APR for each mortgage choice? 10.00% 2.00% no annual cap; 3% lifetime cap End of Year (EOY) 1: 7.0%; EOY 2: 4.5%Problem 54.12 A 10-year $200,000 mortgage will be paid off with level quarterly amortization payments. Assume that the interest rate on the mortgage is 6%, convertible quarterly, and that payments are made at the end of each quarter. Find the modified duration of this mortgage. Do it with formulas and not excel.QUESTION 6 A bank originates a 30 year Fully Amortizing FRM at an annual interest rate of 5% with monthly compounding and monthly payments. If 10 years later, the bank borrows at 6%, what is this bank's Net Interest Margin (NIM) on this FRM? O A. 5.00% O B. -11.00% OC.-1.00% O D.6.00%
- Question content area top Part 1 Calculate the monthly payments of a 3030-year fixed-rate mortgage at 6.006.00 percent for $136 comma 200136,200. How much interest is paid over the life of the loan? Note: Round intermediate computations to at least five (5) decimal places. Click on the table icon to view the Monthly Installment Loan Payment Factor (MILPF) table: LOADING... . Question content area bottom Part 1 The monthly payments of a 3030-year fixed-rate mortgage at 6.006.00% for $136 comma 200136,200 is $817.2817.2. (Round to the nearest cent.) Part 2 The amount of interest paid over the life of the loan is $enter your response here. (Round to the nearest cent.)Problem 5-10 A floating rate mortgage loan is made for $115,000 for a 30-year period at an initial rate of 12 percent interest. However, the borrower and lender have negotiated a monthly payment of $920. Required: a. What will be the loan balance at the end of year 1? b. If the interest rate increases to 13 percent at the end of year 2, how much is the payment plus negative amortization in year 2 and year 5 if the payment remains at $920? Complete this question by entering your answers in the tabs below. Required A Required B What will be the loan balance at the end of year 1? Note: Do not round intermediate calculations. Round your final answer to 2 decimal places. Loan balanceProblem 5-10 A floating rate mortgage loan is made for $180,000 for a 30-year period at an initial rate of 12 percent interest. However, the borrower and lender have negotiated a monthly payment of $1,440. Required: a. What will be the loan balance at the end of year 1? b. If the interest rate increases to 13 percent at the end of year 2, how much is the payment plus negative amortization in year 2 and year 5 if the payment remains at $1,440? Complete this question by entering your answers in the tabs below. Required A Required B Answer is not complete. What will be the loan balance at the end of year 1? Note: Do not round intermediate calculations. Round your final answer to 2 decimal places. $ 178,103.48 X Loan balance