An important application of compound interest involves amortized loans. Some common types of amortized loans are automobile loans, home mortgage loans, and business loans. Each loan payment consists of interest and repayment of principal. This breakdown is often developed in an amortization schedule. Interest is largest in the first period and declines over the life of the loan, while the principal repayment is smallest in the first period and it increases thereafter. Quantitative Problem: You need $11,000 to purchase a used car. Your wealthy uncle is willing to lend you the money as an amortized loan. He would like you to make annual payments for 5 years, with the first payment to be made one year from today. He requires a 5% annual return. a. What will be your annual loan payments? Do not round intermediate calculations. Round your answer to the nearest cent. $ b. How much of your first payment will be applied to interest and to principal repayment? Do not round intermediate calculations. Round your answers to the nearest cent. Interest: $ Principal repayment: $

An important application of compound interest involves amortized loans. Some common types of amortized loans are automobile loans, home mortgage loans, and business loans. Each loan payment consists of interest and repayment of principal. This breakdown is often developed in an amortization schedule. Interest is largest in the first period and declines over the life of the loan, while the principal repayment is smallest in the first period and it increases thereafter. Quantitative Problem: You need $11,000 to purchase a used car. Your wealthy uncle is willing to lend you the money as an amortized loan. He would like you to make annual payments for 5 years, with the first payment to be made one year from today. He requires a 5% annual return. a. What will be your annual loan payments? Do not round intermediate calculations. Round your answer to the nearest cent. $ b. How much of your first payment will be applied to interest and to principal repayment? Do not round intermediate calculations. Round your answers to the nearest cent. Interest: $ Principal repayment: $

Personal Finance

13th Edition

ISBN:9781337669214

Author:GARMAN

Publisher:GARMAN

Chapter9: Obtaining Affordable Housing

Section: Chapter Questions

Problem 2LTAI

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Explain in general terms how the portion s of loan payment going to principal and interest change over the life of the loan . A. Installment loans gradually pay down the loan principal while the payments remain the same . Therefore , the interest due each month gradually decreases and the amount paid toward the principal gradually increases. B. Installment loans gradually pay down the loan principal while the payments remain the same. Therefore , the interest remains the same and the amount paid toward the principal gradually decreases. C. Installment loans gradually pay down the loan principal while the payments remain the same . Therefore , the interest remains the same and the amount paid toward the principal gradually increases . D. Installment loans gradually pay down the loan principal while the payments remain the same .Therefore, the interest due each month gradually increases and the amount paid toward the principal gradually decreases.
Which of the following statement is true of amortization? The computation of loan amortization is wholly based on the computation of simple interest. Amortization solely refers to the total value to be paid by the borrower at the end of maturity. The amortization schedule represents only the interest portion of the loan. The amortization schedule provides principal, interest, and unpaid principal balance for each month. In a typical loan amortization schedule: The amount of money paid towards reducing the loan balance decreases over time. The amount of interest paid each period does not remain constant. The amount of each payment does not remain constant. The amount of interest paid each period increases over time.
Please include the excel formula If the following is a loan, identify a) the principal amount, b) the monthly interest rate, and c) the length of the loan in months. Determine if the following situation is an investment or a loan. If the following is an investment, identify a) if it is a one-time or recurring investment, b) the number of compounding periods per year and c) the total number of compounding periods. If the following is a loan, identify a) the principal amount, b) the monthly interest rate, and c) the length of the loan in months. Ashtyn purchased new appliances for her house for a total of $5,744. The store she buys the appliances from offers an annual simple interest rate of 8.5% with no down payment and monthly payments for 3 years. This situation represents a(n) . a) b) c) What will be your monthly payments? Use Excel to calculate the value.
Over the duration of the loan, the total loan payment is... ... gradually increasing for "amortizing loans with fixed total payments". This statement is [ Select ] ["true", "false"] . ... gradually increasing for "amortizing loans with fixed principal payments". This statement is [ Select ] ["true", "false"] .
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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…
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…
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…
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Explain why many commercial loans require interest to compound more frequently than once a year, monthly, or daily?