00:00Compound interest means you earn returns not just on your original money, but also on the
00:05returns it already generated. Each period's growth becomes part of the base for the next
00:10period's growth. Concretely, $10,000 at 7% annual return becomes $19,672 after 10 years with
00:19compounding versus $17,000 with simple interest, a $2,672 gap purely from reinvested gains,
00:28and that gap widens exponentially with time, not linearly. The formula is A equals P,
00:341 plus or slash N, caret, and T, where P is principal, R is annual rate, N is compounding
00:41frequency per year, and T is years. Three variables change your actual outcome.
00:461. Compounding frequency. Daily compounding at 5% yields an effective annual rate of about 5.13%
00:54versus exactly 5% for annual compounding. A small but real difference, 0.13 percentage points.
01:02That matters more as amounts grow larger. 2. Time horizon. The effect is negligible under
01:085 years, but becomes dominant after 20 to 30 years. Starting at age 25 versus 35 with identical
01:16contributions can produce roughly double the final balance by retirement, due to those extra compounding
01:22cycles. 3. Rate volatility. For savings accounts, 4-5% currently, growth is smooth and predictable.
01:30For stock market investments, historically 7-10% average, but with negative years,
01:36compounding still works long-term, but short-term sequencing of returns matters. Losses early in a
01:42volatile period hurt more than losses later. Context changes the calculation. For debt, credit cards at
01:4920% plus APR, compounding works against you. So frequency and timing matter for how fast balances
01:56balloon. For young investors, frequency of compounding matters less than time invested.
02:01I don't have real-time 2026 interest rate data, so treat the 4-5% and 7-10% figures
02:08as historical
02:09benchmarks, not current guarantees. Practical takeaway. If saving or investing, start as early as possible
02:16regardless of amount, since time is the single biggest lever in the formula, not the interest
02:22rate itself. Finally, remember that everything we discussed today is for educational purposes only
02:28and does not constitute financial advice. Good luck to everyone, and see you in the next video.