A price level adjusted mortgage (PLAM) is made with the following terms: Amount = $96, 800 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: 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?

A price level adjusted mortgage (PLAM) is made with the following terms: Amount = $96, 800 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: 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?

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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A lender makes a loan of $100,000 at a 6% interest rate for 25 years with monthly payments. The lender will require an origination fee of $1,000 and will also discount the loan by some amount. Suppose the lender discounts the loan by the amount calculated in the last question. What is the annual percentage rate (APR) on this loan? a. 5.45% b. 6.00% c. 6.11% d.6.20% e. 6.65% Assume the borrower repays the loan after 8 years. What is the effective borrowing cost (EBC) on this loan? a. 6.10 b. 6.17 c. 6.33 d. 6.50 e. 6.84
A mortgage has an interest rate of 200 basis points over the treasury rate of 4%, an amortization period of 30 years and an initial principal balance of $2,000,000. What is the annual debt service? What is the ending principal balance at the end of the tenth year?
Consider a home mortgage of $125,000 at a fixed APR of 4.5% for 25 years. a. Calculate the monthly payment. b. Determine the total amount paid over the term of the loan. c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest. ..... a. The monthly payment is $ (Do not round until the final answer. Then round to the nearest cent as needed.)
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 is the payment plus negative amortization in year 2 and year 5 if the payment remains at $960?
A partially amortizing loan for $92,000 for 10 years is made at 6 percent interest. The lender and borrower agree that payments will be monthly and that a balance of $20,000 will remain and be repaid at the end of year 10. Required: a. Assuming 4 points are charged by the lender, what will be the yield if the loan is repaid at the end of year 10? b. What must the loan balance be if it is repaid after year 4? c. What will be the yield to the lender if the loan is repaid at the end of year 4? Note: For all requirements, do not round intermediate calculations, round your final answers to 2 decimal places.
What is the value accumulated at the end of 30 years if $300 deposited at the end of each month in a mutual fund account that earns 12 percent annually during the period. Ans. A mortgage calls for monthly payments of $970.30, including interest at 7.6 percent. The current value of the mortgage is $95,258.72. Approximately how long will it take to fully amortize the mortgage? Ans. An income-producing property is priced at $550,000 and is expected to generate the following after-tax cash flows: Year 1: $50,000; Year 2: $55,000; Year 3: $60,000 and $600,000. Calculate the annual IRR for this investment opportunity. Ans.
A floating rate mortgage loan is made for $190,000 for a 30-year period at an initial rate of 12 percent interest. However, the borrower and lender have negotiated a monthly payment of $1,520. 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 $1,520?
Consider a home mortgage of $225,000 at a fixed APR of 6% for 30 years. a. Calculate the monthly payment. b. Determine the total amount paid over the term of the loan. c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest. a. The monthly payment is $ (Do not round until the final answer. Then round to the nearest cent as needed.) b. The total amount paid over the term of the loan is $ (Round to the nearest cent as needed.) c. Of the total amount paid,% is paid toward the principal, and % is paid for interest. (Round to one decimal place as needed.)
An interest-only mortgage is made for $94,000 at 6 percent interest for 10 years. The lender and borrower agree that monthly payments will be constant and will require no loan amortization. Required: a. What will the monthly payments be? b. What will be the loan balance after five years? c. If the loan is repaid after five years, what will be the yield to the lender? d. Instead of being repaid after five years, what will be the yield if the loan is repaid after 10 years?
1. You have been approved for a mortgage for a property. The mortgage is for a 20-year period with a 7.2% annual interest rate for a total amount of $1,700,000 What is the annual payment if payments are made annually What would you put in your annual cash flow if you were paying the mortgage on a monthly basis? What will be the interest and principal payments for the second and third years of the mortgage? What will be the remaining principal balance at the end of the fifth year? Answer question using excel formulas
basic ARM is made for $220,000 at an initial interest rate of 6 percent for 30 years with an annual resetdate. The borrower believes that the interest rate at the beginning of year (BOY) 2 will increase to 7 percent. Required:a. Assuming that a fully amortizing loan is made, what will the monthly payments be during year 1? b. Based on (a) what will the loan balance be at the end of year (EOY) 1? c. Given that the interest rate is expected to be 7 percent at the beginning of year 2, what will the monthlypayments be during year 2? d. What will be the loan balance at the EOY 2 ? e. What would be the monthly payments in year 1 if they are to be interest only?
A price level adjusted mortgage (PLAM) is made with the following terms:Amount $95,000Initial interest rate 4 percentTerm 30 yearsPoints 6 percentPayments 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: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?

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