Retirement savings is the purest real-world application of compound interest: regular contributions, invested for decades, growing on themselves. The math rewards starting early far more than it rewards contributing more later — money invested at 30 has 35 years to compound before 65, while money invested at 40 has only 25, and the gap between those two outcomes is staggering, as the examples below show. Time is the one input you cannot buy back, which makes procrastination the costliest mistake in retirement planning, worse than picking a mediocre fund.
The standard vehicles in the US are the 401(k) — often with an employer match, which is free money you should never leave on the table — and the IRA (traditional or Roth). Contribution limits and tax treatment change yearly, so verify current figures with the IRS rather than relying on memory. The biggest risks are not market crashes but behavior: withdrawing early (usually with taxes plus a 10% penalty), pausing contributions during downturns (which means buying fewer cheap shares — the exact opposite of what works), and underestimating inflation's 2-3% annual erosion of purchasing power, which halves money's value roughly every 24-35 years. A common rule of thumb, the 4% rule, suggests you can withdraw about 4% of your savings annually in retirement with reasonable safety — so $1 million supports roughly $40,000 a year before other income.