A Boston historical home built in 1903 has an appraised...

A Boston historical home built in 1903 has an appraised price of $$\$ 625,000$$ and $$\$ 3,900$$ yearly property taxes. A Chicago historical home built in 1889 has a price of $$\$ 425,000$$ and $$\$ 5,020$$ yearly property taxes. Ronald Albert is offered employment in both Boston and Chicago at $$\$ 125,000$$ a year . Ron loves historical homes, and his job acceptance will be based to a large extent on which home he is able to af ford. His local banker will finance either home at $7 \frac{1}{2} \%$ interest with $20 \%$ down for 30 years. Ron does not want to spend more than $35 \%$ of his gross salary on monthly payments. (a) What would be the monthly payments for the home in Boston? (b) What would be the monthly payments for the home in Chicago? (c) How much more are the monthly payments for the Boston home? (d) Can Ron afford either home?

Key Concepts

Loan Term

The loan term is the duration over which the borrower agrees to repay the loan. It determines the total number of payments and has a significant impact on the size of each monthly payment, with longer terms generally reducing the monthly burden but increasing the total interest paid over the life of the loan.

Property Taxes

Property taxes are recurring annual charges imposed based on the property's assessed value. While they are separate from the mortgage, they affect the overall cost of homeownership and should be considered when evaluating affordability and monthly housing expenses.

Interest Rate Conversion

In mortgage calculations, the annual interest rate must be converted to a monthly rate since payments are made monthly. This conversion is done by dividing the annual rate by the number of months in a year, ensuring that the interest is appropriately applied over each monthly period.

Housing Affordability Criteria

This concept involves setting a threshold, such as a maximum percentage of gross income that can be allocated to housing expenses (including mortgage payments and property taxes), to ensure that the home is financially manageable. It helps in determining whether a potential home purchase is sustainable based on one's income.

Down Payment

A down payment is the initial upfront portion of the purchase price that the buyer pays in cash, reducing the amount that needs to be financed. It is typically expressed as a percentage of the total price and directly influences the size of the mortgage loan and the subsequent monthly payments.

Mortgage Calculation

This concept refers to the process of determining the periodic (usually monthly) payment required to amortize a loan over a set period at a specified interest rate. It involves using the loan amount, which is the purchase price minus the down payment, and distributing this amount over the loan term with fixed payments that cover both principal and interest.

Loan Amortization

Loan amortization is the systematic process of repaying a loan through fixed periodic payments over time. Each payment is split between paying off the interest and reducing the principal balance, with the interest portion usually being higher in the early stages of the loan.

Transcript

Please give Ace some feedback