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Economics & Personal Finance
Saving for Retirement, 401k and IRA
Tax-advantaged accounts, contributions, and compounding
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Saving for retirement means setting aside money during your working years so it can grow and support you later in life. Accounts such as a 401(k) and an IRA are designed to make long-term saving easier, often with tax advantages. The earlier you start, the more time compound growth has to work. Small regular contributions can become much larger over decades when invested wisely.
Key Facts
- Future value with compound interest: FV = P(1 + r)^t
- Future value of regular yearly contributions: FV = C[((1 + r)^t - 1) / r]
- Employer match example: If you contribute 5% of a 1,500 per year.
- Traditional 401(k) and traditional IRA contributions may lower taxable income now, but withdrawals are usually taxed later.
- Roth IRA contributions are made with after-tax money, but qualified withdrawals in retirement are tax-free.
- Investment risk usually decreases with diversification, but diversification does not eliminate the chance of loss.
Vocabulary
- 401(k)
- A 401(k) is an employer-sponsored retirement account that lets workers invest part of their paycheck, often with possible employer matching contributions.
- IRA
- An IRA, or Individual Retirement Account, is a retirement savings account that a person opens independently of an employer.
- Compound interest
- Compound interest is growth earned on both the original amount invested and the previous growth already added.
- Employer match
- An employer match is extra money a company contributes to a worker's retirement account based on the worker's own contributions.
- Tax advantage
- A tax advantage is a rule that reduces taxes now or later to encourage saving and investing.
Common Mistakes to Avoid
- Ignoring the employer match is a costly mistake because it means giving up extra compensation that could grow over time.
- Waiting too long to start saving is a mistake because it reduces the number of years compound growth can multiply your investments.
- Confusing a traditional account with a Roth account is a mistake because the tax timing is different and affects take-home pay and retirement withdrawals.
- Keeping all retirement money in one investment is a mistake because lack of diversification can make savings too dependent on one company, industry, or asset type.
Practice Questions
- 1 You invest $2,000 in an IRA at an average annual return of 6% for 30 years with no additional contributions. Using FV = P(1 + r)^t, about how much will it be worth?
- 2 A worker earns $50,000 per year and contributes 6% to a 401(k). The employer matches 50% of the worker's contribution. How much does the worker contribute, and how much does the employer add in one year?
- 3 A student can choose between saving $150 per month starting at age 25 or waiting until age 35 to save a larger amount. Explain why starting earlier can be powerful even if the monthly contribution is smaller.