00:00Compound interest is interest calculated on both the initial principal and the accumulated interest
00:05from previous periods, meaning your money grows exponentially rather than linearly over time.
00:11For example, $10,000 invested at a 6% annual interest rate compounded annually grows
00:17to $10,600 after year 1, but by year 2 you earn 6% on $10,600, not just the
00:26original $10,000,
00:27yielding $11,236. And after 20 years, that same $10,000 becomes roughly $32,071 compared to just
00:38$22,000 under simple interest over the same period. The compounding frequency changes outcomes
00:44significantly. 1. Annual compounding. Interest applied once per year. Simplest to calculate.
00:51Lowest total return for a given rate. 2. Monthly compounding. Interest applied 12 times yearly.
00:59On that same $10,000 at 6% over 20 years, you'd end with about $33,102, roughly $1,000
01:07more than
01:08annual compounding. 3. Daily compounding. Applied 365 times yearly. Pushes the 20-year total to
01:16approximately $33,201, the theoretical near-maximum for that rate. Continuous compounding barely exceeds
01:24this. The practical impact of compound interest shifts depending on context. For savers and
01:30investors, more frequent compounding and longer time horizons dramatically increase returns,
01:36so starting early matters more than the rate itself. For borrowers, credit cards, loans,
01:42compounds, compound interest works against you. A 20% APR credit card balance compounds monthly or
01:48daily, causing debt to snowball fast if only minimum payments are made. Geographic and regulatory
01:54context also matters, since some countries cap compounding frequency or require APR disclosure,
02:01like the U.S. Truth and Lending Act, while others don't standardize this, making cross-border
02:06comparisons unreliable without checking local terms. Practical takeaway. When saving or investing,
02:13prioritize accounts or instruments with more frequent compounding and start as early as possible,
02:19since time is the biggest multiplier. When borrowing, always check whether interest compounds
02:25and how often, since that determines your real cost, and pay down high-interest compounding debt
02:30aggressively before it snowballs. Finally, remember that everything we discussed today
02:35is for educational purposes only and does not constitute financial advice. Good luck to everyone and see you in the
02:42next video.
