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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.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 balanceA 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, 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?Assume that a lender offers a 30-year, $148,000 adjustable rate mortgage (ARM) with the following terms: Initial interest rate = 7.5 percent Index = one-year Treasuries Payments reset each year Margin = 2 percent Interest rate cap = 1 percent annually; 3 percent lifetime Discount points = 2 percent 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.What is the effective yield to the lender through the date of prepayment on a $540,000 fixed rate mortgage loan fully amortizing over 30 years but paid off after 10 years if the stated annual interest rate is 6.50%, the lender charges 2.0% as an origination fee, $720 for an appraisal and $36 for a credit report and there is no prepayment penalty? -6.81% -6.71% -6.30% -6.50%
- Assume that a lender offers a 30-year, $158,000 adjustable rate mortgage (ARM) with the following terms: Initial interest rate = 7.5 percent Index = one-year Treasuries Payments reset each year Margin = 2 percent Interest rate cap = 1 percent annually; 3 percent lifetime Discount points = 2 percent 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. Complete this question by entering your answers in the tabs below. Required A Required B Compute the payments and loan balances for the ARM for the five-year period. Note: Do not round intermediate calculations. Round "Payments" to 2 decimal places and "Loan Balance" to the nearest dollar amount. Payments Loan Balance Year 1 Year 2 Year 3 Year 4…Assume we have a $500,000 mortgage at 3.5% original interest rate, with a 30- year term and monthly payments. The interest rate can be adjusted at the end of each year, and we assume the rate increases 0.15% after the first year and another 0.5% after the second year. What is the loan balance at the end of the second year? O481,255 None of the given answers 455.812 418,256 480,709Suppose a homeowner has an existing mortgage loan with these terms: Remaining balance of $150,000, interest rate of 8 percent, and remaining term of 10 years (monthly payments). This loan can be replaced by a loan at an interest rate of 6 percent, at a cost of 8 percent of the outstanding loan amount. Required: a. What is the net benefit of refinancing? Note: Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 2 decimal places. b. What is the NPV if the homeowner expects to be in the home for only five more years? Note: Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 2 decimal places. a. Net benefit of refinancing b. NPV $ + 6,552.77 1,819.91