Understanding Loan Structures
A loan is a contract between a borrower and a lender in which the borrower receives an amount of money (principal) that they are obligated to pay back in the future. Most consumer and commercial loans fall into one of three distinct categories:
- Amortized Loan: Fixed payments paid periodically until loan maturity.
- Deferred Payment Loan: Single lump sum paid at loan maturity.
- Zero-Coupon Bond: Predetermined lump sum paid at loan maturity (the face or par value of a bond).
Amortized Loan Formula
Many consumer loans fall into this category. Routine payments are made on principal and interest until the loan reaches maturity. Common examples include mortgages, car loans, and personal loans. The standard amortization payment formula is:
M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1 ]
- M: Total periodic monthly payment.
- P: Total initial loan principal borrowed.
- i: Periodic monthly interest rate (APR / 12).
- n: Total number of payment periods (Years × 12).
Deferred Payment Loan Structure
Many commercial loans or short-term loans are in this category. Unlike amortized loans, which have payments spread uniformly over their lifetimes, these loans have a single, large lump sum due at maturity. This calculation works perfectly for balloon loans or loans with a single payment of all principal and interest due at maturity.
FV = P × (1 + r/12)^(12 × t)
Zero-Coupon Bonds
Technically, bonds operate differently from conventional loans in that borrowers make a predetermined payment at maturity. The face value denotes the amount received at maturity, while the purchase price is discounted upfront based on current market interest rates.
Secured vs. Unsecured Loans
Secured Loans
A secured loan means that the borrower has put up an asset as collateral before being granted a loan. The lender is issued a lien on property until the debt is paid in full. Common examples include mortgages and auto loans.
Unsecured Loans
An unsecured loan is an agreement to pay a loan back without providing collateral. Lenders verify financial integrity through credit criteria including Character, Capacity, Capital, Collateral, and Conditions.
Frequently Asked Questions (FAQs)
1. What is an amortized loan?
An amortized loan features scheduled periodic payments applied to both principal and accrued interest, ensuring the debt is fully paid off by the end of its term.
2. How does a deferred payment loan work?
A deferred payment loan allows borrowers to delay repayments until a designated future maturity date, at which time the full principal plus compounded interest is paid in a single lump sum.
3. What is a zero-coupon bond?
A zero-coupon bond is a debt security sold at a discount to its face value that pays no periodic interest. The investor receives the full face value upon maturity.