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- Assume that a lender offers a 30-year, $154,000 adjustable rate mortgage (ARM) with the following terms: Initial interest rate = 7.5 percentIndex = one-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 reached Based 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; (BOY) 5 = 11 percent. Required: a. Compute the payments and loan balances for the ARM for the five-year period. b. Compute the yield for the ARM for the five-year period.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.ces Assume that a lender offers a 30-year, $147,000 adjustable rate mortgage (ARM) with the following terms: Initial interest rate=7.5 percent Index one-year Treasurles Payments reset each year. Margin=2 percent Interest rate cap=1 percent annually. 3 percent lifetime Discount points=2 percent Fully amortizing; however, negative amortization allowed if interest rate caps reached Based on estimated forward rates, the index to which the ARM is tied is forecasted as follows: Beginning of year (BOM) 2-7 percent: (BOY) 3 8.5 percent; (BOY) 4 9.5 percent; (BOY) 5-11 percent. Required: a. Compute the payments and loan balances for the ARM for the five-year period. b. Compute the yield for the ARM for the five-year period.
- 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 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? Note: Do not round intermediate calculations. Round your final answers to 2 decimal places. Loan balance in year 2 Interest accrued - Year 2 Interest accrued - Years 2 - Year 5A floating rate mortgage loan is made for $185,000 for a 30-year period at an initial rate of 12 percent interest. However, the borrower and lender have negotiated a monthly payment of $1,480. 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 $1,480?A floating rate mortgage loan is made for $170,000 for a 30-year period at an initial rate of 12 percent interest. However, the borrower and lender have negotiated a monthly payment of $1,360. 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 $1,360? 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 balance
- A floating rate mortgage loan is made for $120,000 for a 30-year period at an initial rate of 12 percent interest. However, the borrower and lender have negotiated a monthly payment of $960. 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 interest will be accrued as negative amortization in year 2 and year 5 if the payment remains at $960?Consider a $5,000,000, 10% rate, 30-year mortgage with constant annual payments, fully amortizing. What is the yield to maturity (YTM) of this loan under the following circumstances: (a) No points (b) Three points of disbursement discount (paid by the borrower) (c) One point of disbursement discount (paid by the borrower)A floating rate mortgage loan is made for $100,000 for a 30-year period at an initial rate of 12 percent interest. However, the borrower and lender have negotiated a monthly payment of $800. What if the interest rate increases to 13 percent at the end of year 1? How much interest will be accrued as negative amortization in year 2 if the payment remains at $800?
- A floating rate mortgage loan is made for $155,000 for a 30 -year perlod at an Initial rate of 12 percent interest. However, the borrower and lender have negotlated a monthly payment of $1,240. 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 $1,240 ?Consider a $5,000,000, 8.5%, 30-year mortgage with monthly payments, and expected realistic prepayment horizon of 7 years. What is the contractual yield (effective interest rate) at issuance over the expected life of the loan under the following circumstances: (a) No points or penalties (b) One point of disbursement discount (c) Three points of disbursement discount (d) Three points of disbursement discount plus one point of prepayment penalty.if a lender wants to achieve an APR of approximately 7.0% on a 30-year fully amortizing fixed rate loan for $750,000 with a stated annual interest rate of 6.5%, how many points should the lender charge the borrower? a. 6 b. 3 c. 5 d. 4