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 Year 5

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 Year 5

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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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 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, $153,000 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 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 (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. (Do not round intermediate calculations. Round "Payments" to 2 decimal places and "Loan Balance"…
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.
A price level adjusted mortgage (PLAM) is made with the following terms: Amount = $96,000Initial interest rate = 4 percentTerm = 30 yearsPoints = 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: 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? I am having trouble with b. and c.
assume a $175,000 mortgage loan and 10-year term. The lender is charging an annual interest rate of 6 percent and 4 discount points at origination. a. What is the monthly payment Assuming that it is based on an amortization period of 30 years? b. What will be the required balloon payment at the end of the tenth year? c. What is the effective borrowing cost on the loan if it is held to maturity? Give typing answer with explanation and conclusion
Consider an adjustable rate mortgage (ARM) of $190,000 with a maturity of 30 years and monthly payments. At the end of each year, the interest rate is adjusted to become 2.5 percentage points above the index. There is an annual cap of 250 basis points, and a lifetime cap of 500 basis points (i.e., with 2.5/5 interest rate caps). The lender offers a teaser of 1.00% for the first year. The following are the current and index rates: Time T-Bill Yield (given) At origination (for yr 1) 4.50% At end of yr 1 (for yr 2) 7.00% At end of yr 2 (for yr 3) 9.00% At end of yr 3 (for yr 4) 5.00% At end of yr 4 (for yr 5) 8.00% # 5). If the loan is repaid at the end of year two (2), what amount of discount points should the lender have charged to earn an effective yield of 9%? 2.42 points O 4.97 points 3.27 points 1.98 points O 0.50 points O 3.97 points
Consider an adjustable rate mortgage (ARM) of $190,000 with a maturity of 30 years and monthly payments. At the end of each year, the interest rate is adjusted to become 2.5 percentage points above the index. There is an annual cap of 250 basis points, and a lifetime cap of 500 basis points (i.e., with 2.5/5 interest rate caps). The lender offers a teaser of 1.00% for the first year. The following are the current and index rates: Time T-Bill Yield (given) At origination (for yr 1) 4.50% At end of yr 1 (for yr 2) 7.00% At end of yr 2 (for yr 3) 9.00% At end of yr 3 (for yr 4) 5.00% At end of yr 4 (for yr 3) 8.00% # 1). What is the contract rate for years 1, 2, 3, and 4? O 3.50%, 4.00%, 8.00%, 5.00% 4.50%, 6.00%, 10.00%, 7.00% 6.00%, 8.50%, 11.00%, 7.00% O 6.50%, 9.00%, 10.00%, 7.00% O 6.00%, 9.00%, 10.00%, 7.00% O 5.50%, 6.00%, 9.00%, 7.00%
Consider an adjustable rate mortgage (ARM) of $190,000 with a maturity of 30 years and monthly payments. At the end of each year, the interest rate is adjusted to become 2.5 percentage points above the index. There is an annual cap of 250 basis points, and a lifetime cap of 500 basis points (i.e., with 2.5/5 interest rate caps). The lender offers a teaser of 1.00% for the first year. The following are the current and index rates: Time At origination (for yr 1) At end of yr 1 (for yr 2) At end of yr 2 (for yr 3) At end of yr 3 (for yr 4) 9.55% 11.25% 10.25% 13.15% At end of yr 4 (for yr 5) #6). Assume that the mortgage has a 5 percent prepayment penalty for the loan balance when prepaid. What is the effective annual cost of the mortgage if is prepaid at the end of year 2? 8.75% T-Bill Yield (given) 14.85 % 4.50% 7.00% 9.00% 5.00% 8.00%
Consider an adjustable rate mortgage (ARM) of $195,000 with a maturity of 30 years and monthly payments. At the end of each year, the interest rate is adjusted to become 2.5 percentage points above the index. There is an annual cap of 250 basis points, and a lifetime cap of 500 basis points (i.e., with 2.5/5 interest rate caps). The lender offers a teaser of 2.00% for the first year. The following are the current and index rates: Time At origination (for yr 1) At end of yr 1 (for yr 2) At end of yr 2 (for yr 3) At end of yr 3 (for yr 4) At end of yr 4 (for yr 5) O 3.27 points O 4.67 points O 1.98 points 5.07 points O 3.97 points T-Bill Yield (given) O 2.42 points 4.50% #5). If the loan is repaid at the end of year two (2), what amount of discount points should the lender have charged to earn an effective yield of 9%? Choose the BEST answer 8.50% 9.00% 5.00% 8.00%
Consider an adjustable rate mortgage (ARM) of $190,000 with a maturity of 30 years and monthly payments. At the end of each year, the interest rate is adjusted to become 2.5 percentage points above the index. There is an annual cap of 250 basis points, and a lifetime cap of 500 basis points (i.e., with 2.5/5 interest rate caps). The lender offers a teaser of 1.00 % for the first year. The following are the current and index rates: Time T-Bill Yield (given) At origination (for yr 1) 4.50% At end of yr 1 (for yr 2) 7.00% At end of yr 2 (for yr 3) 9.00% At end of yr 3 (for yr 4) 5.00% At end of yr 4 (for yr 5) 8.00% # 6). Assume that the mortgage has a 5 percent prepayment penalty for the loan balance when prepaid. What is the effective annual cost of the mortgage if is prepaid at the end of year 2? 8.75% 14.85% 9.55% 10.25% 11.25% O 13.15%
Suppose that you have just borrowed $225,000 using an adjustable-rate mortgage. Suppose that the payment is scheduled to adjust at the end of every year. Use the information provided below to calculate the year 2 payment for this loan. Index rate: Margin: Periodic Cap: Lifetime Cap: Amortization: $1,107 $1,160 $1,296 $1,178 1-year CMT (Currently 1.01% and will increase to 2.06% at the end of the 1st year) 275 basis points 2 percentage points 5 percentage points 30 years with monthly payments and compounding

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