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Math · Consumer Math

Chapter 8: Investing for the Long Term

Retirement Accounts

The account matters as much as the investment.

Lesson
2
Time
About 21 minutes
0 of 12 done

Step 1: Let's Learn

Read it, or press Listen and follow the words.

A retirement account is a container. What matters is the tax treatment it gives whatever you hold inside it.

Contributing before tax

Some accounts take contributions before tax, cutting this year tax bill, and tax the withdrawals in retirement.

Contributing after tax

Others take contributions after tax and let the growth come out untaxed. Which is better depends on your rate now against later.

The employer match

A match is an immediate 100% return on the matched portion. Nothing else in finance offers that.

Not taking it is a pay cut

Contributing less than the match threshold declines part of your own compensation.

The catch

Early withdrawal usually costs tax plus a penalty. This money is genuinely locked away, which is part of what makes it work.

The account and the investment are separate

A retirement account is a wrapper with particular tax treatment; the investments held inside it are a separate choice. Confusing the two is common and leads to comparing things that are not comparable.

Tax treatment differs by account type

Some accounts reduce tax now and tax withdrawals later; others do the reverse. Which is preferable depends on circumstances, and the rules vary by country — which is why the general structure matters more than any specific figure.

Employer contributions

Where an employer matches contributions, that match is part of total compensation. Declining it leaves stated pay unclaimed, which is why it is usually discussed alongside salary rather than separately.

Time is the dominant factor

Because of compounding, contributions made early have many more doublings than the same amount contributed later. That arithmetic — not any particular investment choice — is what drives long-horizon outcomes.

Step 2: Try It Yourself

Tap and try it out.

Retirement growth is this curve. Most of the height arrives in the final years, which is why the start date dominates.
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y = 1 · 1.5^x + 0

Step 3: Watch an Example

One step at a time.

Watch Diego Capture a Match

Diego earns $50000. His employer matches contributions up to 5% of salary.

  1. Step 1

    Five percent of his salary is 0.05 × 50000 = $2500.

Step 4: Your Turn

Practice makes it stick.

The Match

Problem 1 of 2

A 5% match on a $50000 salary. Match amount in dollars?

dollars

The Total

Problem 2 of 2

You contribute $2500 and the employer matches it fully. Total added, in dollars?

dollars

Claim the Match

1 of 8

A 4% match on a $60000 salary. Match in dollars?

2 of 8

A 6% match on a $45000 salary. Match in dollars?

3 of 8

Contributing $2000 with a full match. Total added in dollars?

4 of 8

Match threshold $2500, you contribute $1000. Match left unclaimed, in dollars?

5 of 8

What return does a full match give on the matched portion, in percent?

6 of 8

Does early withdrawal usually carry a penalty? 1 yes, 0 no.

7 of 8

Put the retirement saving priorities in order, best first.

  1. 1Clear high interest debt.
  2. 2Build the emergency fund.
  3. 3Invest anything beyond that for the long term.
  4. 4Contribute enough to claim the full employer match.

8 of 8

A 3% match on a $70000 salary. Match in dollars?

Step 5: Quick Check

Show what you know.

Question 1 of 2

A 5% match on a $40000 salary. Match in dollars?

Question 2 of 2

Why is an employer match described as free money?

What You Learned

  • A retirement account is a tax container for whatever you hold inside it.
  • An employer match is an immediate 100% return and should be claimed first.
  • Early withdrawal usually costs tax plus a penalty.