Loans, Mortgages, and Amortization
Loans are borrowed sums of money that must be repaid with interest over a set period. Mortgages are specific types of loans used to purchase real estate, where the property serves as collateral. Amortization refers to the process of gradually repaying the loan through regular payments, which cover both principal and interest. This structured repayment schedule ensures the loan is fully paid off by the end of its term.
Loans, Mortgages, and Amortization
Loans are borrowed sums of money that must be repaid with interest over a set period. Mortgages are specific types of loans used to purchase real estate, where the property serves as collateral. Amortization refers to the process of gradually repaying the loan through regular payments, which cover both principal and interest. This structured repayment schedule ensures the loan is fully paid off by the end of its term.
💡 Key Takeaways
- Differentiate loans from mortgages and explain how collateral works in real estate financing.
- Identify the main components of a loan payment: principal and interest, and how each affects the loan balance over time.
- Explain amortization and how regular payments gradually reduce both the principal and the total interest paid.
- Learn to compute fixed-rate loan payments and interpret an amortization schedule (principal, interest, and remaining balance).
- Understand how payment frequency, loan term, and prepayments influence the total interest and payoff time.
❓ Frequently Asked Questions
What is a loan?
A loan is money borrowed from a lender that must be repaid with interest over a defined period.
What is a mortgage?
A mortgage is a loan used to buy real estate, with the property serving as collateral; if you fail to repay, the lender may seize the property.
What does amortization mean?
Amortization is the gradual repayment of a loan through regular payments that cover both principal and interest; over time, the portion going to principal increases while interest decreases.
How is a monthly loan payment calculated?
For a fixed-rate loan, the monthly payment is found using the amortization formula: Payment = P × r × (1 + r)^n / [(1 + r)^n − 1], where P = loan amount, r = monthly interest rate, and n = number of payments.