Suppose you have just purchased your first home for $300,000. At the time of purchase you could only afford to commit to a down-payment of $15,000. In order to make the loan, the lender requires you to obtain private mortgage insurance (PMI) on their behalf. Suppose over time you paid. down the principal of the loan to $280,000 and at that point in time you can no longer make any mortgage payments (i.e., you default on the loan). If the lender were to foreclose on your property and sell it for $228,000, what would the lender's loss of principal be taking into consideration. the protection of mortgage insurance? (Let's assume that the PMI in this case covers the top 30% of the loan.)

Suppose you have just purchased your first home for $300,000. At the time of purchase you could only afford to commit to a down-payment of $15,000. In order to make the loan, the lender requires you to obtain private mortgage insurance (PMI) on their behalf. Suppose over time you paid. down the principal of the loan to $280,000 and at that point in time you can no longer make any mortgage payments (i.e., you default on the loan). If the lender were to foreclose on your property and sell it for $228,000, what would the lender's loss of principal be taking into consideration. the protection of mortgage insurance? (Let's assume that the PMI in this case covers the top 30% of the loan.)

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 borrower purchased a $250,000 house with 5 percent down payment taking a mortgage loan for the rest of the amount. Private mortgage insurance covers 6 percent of the loan. Suppose the borrower defaults after the loan has been paid down to $223,000. Suppose further the lender is able to sell the foreclosed house for $211,000. What compensation from the mortgage insurer does the lender get?
Suppose your bank’s loan officer tells you that if you take out a mortgage (i.e., you borrow money to buy a house), you will be permitted to borrow no more than 80% of the value of the house. Describe this transaction using the terminology of short-sales.
Mortgages, loans taken to purchase a property, involve regular payments at fixed intervals and are treated as reverse annuities. Mortgages are the reverse of annuities, because you get a lump-sum amount as a loan in the beginning, and then you make monthly payments to the lender. You’ve decided to buy a house that is valued at $1 million. You have $200,000 to use as a down payment on the house, and want to take out a mortgage for the remainder of the purchase price. Your bank has approved your $800,000 mortgage, and is offering a standard 30-year mortgage at a 9% fixed nominal interest rate (called the loan’s annual percentage rate or APR). Under this loan proposal, your mortgage payment will be per month. (Note: Round the final value of any interest rate used to four decimal places.) Your friends suggest that you take a 15-year mortgage, because a 30-year mortgage is too long and you will pay a lot of money on interest. If your bank approves a 15-year, $800,000 loan at…
Consider a borrower who purchased a $300,000 home using conventional conforming financing at 90% LTV. The underwriting approval requires private mortgage insurance (PMI) with 30% coverage. Suppose over time the borrower pays down the principal of the loan to a balance of $259,377, but is no longer able to make any additional payments and defaults. If the servicer were to foreclose on the collateral property and sell it clearing $159,749 in net proceeds, how much is the loss of principal taking into consideration the protection provided by the mortgage insurance policy? (Input your answer rounded to the nearest whole dollar and without the $ or negative signs, e.g., input a loss of -$100,000 as 100,000)
Mortgages, loans taken to purchase a property, involve regular payments at fixed intervals and are treated as reverse annuities. Mortgages are the reverse of annuities, because you get a lump-sum amount as a loan in the beginning, and then you make monthly payments to the lender.. You've decided to buy a house that is valued at $1 million. You have $100,000 to use as a down payment on the house, and want to take out a mortgage for the remainder of the purchase price. Your bank has approved your $900,000 mortgage, and is offering a standard 30-year mortgage at a 12% fixed nominal interest rate (called the loan's annual percentage rate or APR). Under this loan proposal, your mortgage payment will be per month. (Note: Round the final value of any interest rate used to four decimal places.) Your friends suggest that you take a 15-year mortgage, because a 30-year mortgage is too long and you will pay a lot of money on interest. If your bank approves a 15-year, $900,000 loan at a fixed…
Mortgages, loans taken to purchase a property, involve regular payments at fixed intervals and are treated as reverse annuities. Mortgages are the reverse of annuities, because you get a lump-sum amount as a loan in the beginning, and then you make monthly payments to the lender. You’ve decided to buy a house that is valued at $1 million. You have $300,000 to use as a down payment on the house, and want to take out a mortgage for the remainder of the purchase price. Your bank has approved your $700,000 mortgage, and is offering a standard 30-year mortgage at a 12% fixed nominal interest rate (called the loan’s annual percentage rate or APR). Under this loan proposal, your mortgage payment will be per month. (Note: Round the final value of any interest rate used to four decimal places.) Your friends suggest that you take a 15-year mortgage, because a 30-year mortgage is too long and you will pay a lot of money on interest. If your bank approves a 15-year, $700,000 loan at…
You are a loan officer at the West Elm Savings and Loan. Mr. and Mrs. Brady are in your office to apply for a mortgage loan on a house they want to buy. The house has a market value of $170,000. Your bank requires 1 5 of the market value as a down payment. (a) What is the amount (in $) of the down payment? $ (b) What is the amount (in $) of the mortgage for which the Bradys are applying? $ (c) Your bank offers the Bradys a 30 year mortgage with a rate of 5%. At that rate, the monthly payments for principal and interest on the loan will be $5.37 for every $1,000 financed. What is the amount (in $) of the principal and interest portion of the Bradys' monthly payment? $ (d) What is the total amount (in $) of interest that will be paid over the life of the loan? $ (e) Your bank also requires that the monthly mortgage payments include property tax and homeowners insurance payments. If the property tax is $1,710 per year and the property insurance is…
Mortgages, loans taken to purchase a property, involve regular payments at fixed intervals and are treated as reverse annuities. Mortgages are the reverse of annuities, because you get a lump-sum amount as a loan in the beginning, and then you make monthly payments to the lender. You’ve decided to buy a house that is valued at $1 million. You have $100,000 to use as a down payment on the house, and want to take out a mortgage for the remainder of the purchase price. Your bank has approved your $900,000 mortgage, and is offering a standard 30-year mortgage at a 10% fixed nominal interest rate (called the loan’s annual percentage rate or APR). Under this loan proposal, your mortgage payment will be per month. (Note: Round the final value of any interest rate used to four decimal places.) Your friends suggest that you take a 15-year mortgage, because a 30-year mortgage is too long and you will pay a lot of money on interest. If your bank approves a 15-year, $900,000 loan at…
You are a loan officer at the West Elm Savings and Loan. Mr. and Mrs. Brady are in your office to apply for a mortgage loan on a house they want to buy. The house has a market value of $170,000. Your bank requires 1 5 of the market value as a down payment. (a) What is the amount (in $) of the down payment? $ (b) What is the amount (in $) of the mortgage for which the Bradys are applying? $ (c) Your bank offers the Bradys a 30 year mortgage with a rate of 5%. At that rate, the monthly payments for principal and interest on the loan will be $5.37 for every $1,000 financed. What is the amount (in $) of the principal and interest portion of the Bradys' monthly payment? $ (d) What is the total amount (in $) of interest that will be paid over the life of the loan? $ (e) Your bank also requires that the monthly mortgage payments include property tax and homeowners insurance payments. If the property tax is $1,710 per year and the property insurance is $1,458 per…
Mortgages, loans taken to purchase a property, involve regular payments at fixed intervals and are treated as reverse annuities. Mortgages are the reverse of annuities, because you get a lump-sum amount as a loan in the beginning, and then you make monthly payments to the lender. You’ve decided to buy a house that is valued at $1 million. You have $350,000 to use as a down payment on the house, and want to take out a mortgage for the remainder of the purchase price. Your bank has approved your $650,000 mortgage, and is offering a standard 30-year mortgage at a 10% fixed nominal interest rate (called the loan’s annual percentage rate or APR). Under this loan proposal, your mortgage payment will be per month. (Note: Round the final value of any interest rate used to four decimal places.) Your friends suggest that you take a 15-year mortgage, because a 30-year mortgage is too long and you will pay a lot of money on interest. If your bank approves a 15-year, $650,000 loan at…
Maya Womak wishes to purchase a(n) $645,000 house. She has accumulated a $125,000 down payment, but she wishes to borrow $520,000 on a 15-year mortgage. For simplicity, assume annual mortgage payments occur at the end of each year and there are no loan fees E (Click the icon to view the present value factor table.) E (Click the icon to view the present value annuity factor table.) Read the requirements. ..... Requirement 1. What are Womak's annual payments if her interest rate is (a) 8%, (b) 12%, and (c) 14%, compounded annually? (Round your final answers to the nearest whole dollar.) Begin by selecting the formula you will need to answer this question for each of the three scenarios (a., b., and c.) Borrowings / Present value of ordinary annuity of $1 Annual payment 1a. What are Womak's annual payments if her interest rate is 8%, compounded annually? Requirements 1. What are Womak's annual payments if her interest rate is (a) 8%, (b) 12%, and (c) 14%, compounded annually? 2. Repeat…
In the situation described below, identify the initial payment, the term interest rate, andthe number of compounding periods. Use this to express the future value of the asset. Your uncle’s sister Marjorie (to whom you are not related) is a loan shark. Your friendRon borrowed $1200 from her 63 days ago. She charges him 5% every 9 days, and hehasn’t made any payments.

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