How does compound interest work in New York?+
Compound interest works the same way in New York as everywhere — the formula is A = P × (1 + r/n)^(n×t) + PMT × [((1 + r/n)^(n×t) − 1) / (r/n)], where P is principal, r is annual rate, n is compounding frequency, t is years, and PMT is regular contribution. What varies by state is the after-tax return on taxable accounts. In New York, investment income (dividends, interest, short-term capital gains) is taxable at the 10.9% state rate, reducing the effective return on taxable accounts. At 7% gross, the state-tax-adjusted return is approximately 6.2% annually on ordinary income.
What does saving 10% of New York's median income grow to over time?+
New York's median household income is $85,820/year. Saving 10% ($8,582/year = $715/month) at 7% compounded monthly grows to: $123,756 after 10 years, $372,463 after 20 years, $872,279 after 30 years. Over 30 years, total contributions are $257,400 — but compound interest adds $614,879 more. That extra $614,879 is pure compound growth requiring no additional work.
What is the compound interest formula and how is it calculated?+
For a lump sum: A = P × (1 + r/n)^(n×t). For regular contributions: A = P × (1 + r/n)^(nt) + PMT × [((1 + r/n)^(nt) − 1) / (r/n)]. Monthly compounding (n=12) is the most common for savings accounts. Example: $10,000 in New York at 7% monthly compounding for 30 years: A = $10,000 × (1 + 0.07/12)^(360) = $10,000 × (1.005833)^360 ≈ $81,165. The Rule of 72: divide 72 by the interest rate to estimate the doubling time. At 7%, money doubles in approximately 10.3 years.
Should I use a taxable account or tax-advantaged account in New York?+
In New York (10.9% income tax), tax-advantaged accounts (401(k), IRA, HSA) provide a compound advantage over taxable accounts. Every dollar in a Traditional 401(k) avoids both federal and 10.9% state income tax now. Every dollar in a Roth 401(k) grows tax-free and avoids state tax on withdrawals (subject to Partial pension exemption). In a taxable account, interest and short-term gains are taxed each year at your ordinary rate — compounding the drag on long-term growth.
What is the Rule of 72 and how does it apply to New York investors?+
The Rule of 72 is a shortcut: divide 72 by your annual return rate to estimate how many years it takes for money to double. At 7%, money doubles in approximately 10.3 years. At 6%, about 12 years. At 4% (typical HYSA rate), about 18 years. For New York investors in taxable accounts: if state income tax reduces your effective return from 7% to 6.2%, the doubling time extends from 10.3 years to approximately 11.6 years — a meaningful difference over a long investment horizon. This is one reason maximizing tax-advantaged accounts first is so valuable in higher-tax states.