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What is the principal? like in finance

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In finance, the principal is the original sum of money either borrowed or invested, excluding any interest, fees, gains, or losses. It’s the amount on which interest is calculated.

Key points
- For a loan or mortgage: principal = the amount you borrow. As you make payments, the principal balance declines as portions of your payments go toward repaying that amount (principal) and toward interest.
- For an investment or deposit: principal = the initial amount you invest or deposit (what can earn interest or returns).
- For a bond: principal (also called face or par value) = the amount repaid to the bondholder at maturity, not including coupon payments.

Examples
- Loan: You take a $10,000 loan. The principal is $10,000. If you pay $200 a month, part goes to interest and the rest reduces the principal.
- Savings: You deposit $5,000 in a savings account. The principal is $5,000; interest will be earned on that principal.
- Bond: A bond with $1,000 face value repays $1,000 principal at maturity plus periodic coupon interest.

Common formulas
- Compound growth: A = P(1 + r/n)^(nt), where P = principal, r = annual rate, n = compounding periods per year, t = years, A = amount after t years.

Other useful distinctions
- Principal balance (outstanding principal) = current remaining principal on a loan.
- Interest is the cost of borrowing or the return on principal; payments often cover interest first, then principal (common in amortizing loans).
- Principal protection refers to investment products designed to preserve the original principal.

If you want, I can show an amortization example breaking down interest vs principal for a specific loan amount, rate, and term.