Compound Interest

Wednesday, January 28, 2026

PLAN TO LIVE/Plan To Start/Compound Interest

The Idea

Compound interest = “interest on interest.” Your money earns, then those earnings also earn. Like a snowball that picks up more snow every roll.

Analogy

Plant a fruit tree. Year 1 it gives 10 apples. Year 2 the tree is bigger, so it makes more than 10 apples.

Leave the apples’ seeds to grow more trees, and the orchard grows faster every year. That “faster” is compounding.

Why It Matters

• It turns time into your teammate. The earlier you start, the less you have to save.

• It works for you with savings and investments—and against you with debt.

How It Works

Money grows in steps: once per year, or monthly, or daily—depends on the account. Each step adds to your balance, then the next step grows the new balance.

The growth rate is a percent per year (like 4%, 6%, 7%).

More frequent compounding (monthly vs. yearly) gives you a little extra.

If you like a simple formula for a single deposit:

Future value ≈ Start × [(1 + rate)^(years)]
Example: $1,000 at 5% for 10 years: 1000 x (1 + 0.05)10 = $1,629. 

For regular monthly deposits, there’s a slightly bigger formula—but you can use any basic calculator or an app. 

Step-By-Step To Implement

1. Pick the right account:
     o Tax-free growth: US = Roth IRA (or Roth 401(k)); Canada = TFSA.
     o Tax-deferred (pay tax later): US = Traditional IRA/401(k); Canada = RRSP.
     o First home in Canada: FHSA (special tax help).
Using these lets compounding work without taxes nibbling each year.

2. Choose a simple investment: a low-fee broad-market index fund/ETF (tracks lots of companies at once). Look for low MER/expense ratio (ideally under ~0.25%). Lower fees = more compounding kept.

3. Automate it: set auto-transfer every payday/month. Even $25/week builds the habit.

4. Reinvest dividends: tick “reinvest/DRIP” so payouts buy more shares automatically.

5. Leave it alone: time is the secret sauce. Avoid pulling money out for random stuff.

Worked Examples

1) One-time deposit (compound vs. simple):
      Start: $1,000, rate 5%, time 10 years
          o Compound: $1,629
      Start: $5,000, rate 5%, time 4 years
          o Simple interest total = $6,000
          o Compound total = $6,078 (a bit more, because interest also earns interest)

2) Monthly saving (the real-life move):
      Save $100/month for 10 years at 7% (compounded monthly)
     → About $17,308 total.
     You put in $12,000; compounding added roughly $5,300.

3) Fees matter (quiet compounding killer):
      Save $200/month for 30 years
          o At 7% with low fees → about $243,994
          o At 6% (same investment but 1% fee) → about $200,903
          That 1% fee costs you roughly $43,000 over time. Yikes!

4) Inflation check (buying power):
If investments earn 7% and inflation is 3%, your real gain is about 4%. Your account grows fast, but prices rise too. Long-term investing aims to beat inflation.

US-Canada Tax Notes

• Roth IRA / TFSA: You pay tax now, but growth and qualified withdrawals are tax-free. Great for long-term compounding.
• 401(k)/Traditional IRA / RRSP: You delay tax until withdrawal. Good if your tax rate might be lower in retirement.
• Taxable (regular) account: You may owe tax along the way, which slows compounding a bit.

Common Mistakes

     • Starting and stopping: skipping months breaks the snowball. Small-but-steady beats big-but-random.

     • Chasing hot picks: constant switching can add fees and miss growth.

     • High-interest debt first: a 20% credit card “compounds” against you. Kill that before heavy investing.

     • Ignoring fees: a 1% yearly fee sounds small; over decades it’s huge.

1-Minute Action

Open your banking/investing app and set auto-transfer of any small amount you won’t miss - $25/week or $100/month - into a TFSA/Roth or RRSP/401(k) fund you already have.

Turn on reinvest dividends.
     Tiny habit now → big orchard later.

Words to Know

  • Principal: your starting amount.
  • Interest/return: the % your money grows each year.
  • Compound: interest earned on interest.
  • MER/expense ratio: yearly % fee for a fund. Lower is better.
  • Inflation: prices going up over time; your money buys less.
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Hi.
I'm Christopher


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