A FINMANGO GUIDE TO INVESTING
How to
become a
millionaire.
The math is simpler than you think. Start early, keep it boring, stay in the market.
Financial health, not
financial literacy.
finmango.org
Originally developed by Bob Gillingham • Updated 2026
WHAT YOU'LL LEARN
Six ideas that do
most of the work.
01
Compound interest
Time turns small money into big money.
02
Risk vs. return
Why stocks beat savings over decades.
03
Start early
An 8-year head start beats 38 years of catching up.
04
Keep costs low
Fees quietly steal a third of your returns.
05
Stay invested
The worst days sit right next to the best ones.
06
Use the right account
Roth IRAs grow tax-free. Take advantage.
COMPOUND INTEREST
Interest on your interest.
Compounding pays you on both your original money AND on the interest that money has already earned. Every year, the base you earn on gets bigger.
A = P(1 + r/n)nt
A
what you end up with
P
principal (money in)
r
rate (decimal)
n
compounds / year
t
years
Never too early. Never too late. Starting today beats starting next year — always.
COMPOUND INTEREST
The Rule of 72.
Quick mental math: how long until your money doubles?
72
÷
your %
return
=
years to
double
Example: at a 6% return, 72 ÷ 6 = 12 years to double. At 9%, only 8 years.
COMPOUND INTEREST
$5,000 invested once. Left alone.
Same starting money. Different returns. Watch what happens.
YEAR | 1.5% | 3% | 6% | 12% |
0 | $5,000 | $5,000 | $5,000 | $5,000 |
6 | — | — | — | $10,000 |
12 | — | — | $10,000 | $20,000 |
18 | — | — | — | $40,000 |
24 | — | $10,000 | $20,000 | $80,000 |
30 | — | — | — | $160,000 |
36 | — | — | $40,000 | $320,000 |
42 | — | — | — | $640,000 |
48 | $10,000 | $20,000 | $80,000 | $1.28M |
At 12% over 48 years, one $5,000 becomes $1.28 million. Same money. Different rate.
COMPOUND INTEREST
One $2,000. Started at 15, 25, or 35.
A single $2,000 investment. 10% annual return (roughly the S&P 500's century-long average). Held until 65.
15
age
$296,623
at age 65
Started teenage years
25
age
$109,136
at age 65
Started post-college
35
age
$40,155
at age 65
Started mid-career
The 20-year head start turns the same $2,000 into 7.4× more money by 65.
02
CHAPTER
What you can
invest in.
Savings, bonds, stocks, and mutual funds — what each does and how they compare on risk and return.
ASSET TYPES
Three ways to put money to work.
Savings account
A loan to a bank
Your deposit funds the bank's lending. Super safe, FDIC-insured. Returns barely beat inflation.
avg. return ~0.5%
Bonds (fixed income)
A loan to a company or government
You're the lender. You get periodic interest payments and your principal back at maturity.
avg. return ~4%
Stocks (equities)
A piece of a company
You own a slice of the business. Value rises (or falls) with the company and the broader economy.
avg. return ~9%
Higher expected return comes with higher volatility. That trade-off is the whole game.
ASSET TYPES
Risk and return walk together.
Years to double your money at each asset class's historical average:
Savings account
Very low risk
0.5%
~144 yrs
to double
Bonds
Moderate risk
4%
18 years
to double
Stocks (S&P 500)
Higher volatility
9%
8 years
to double
If your time horizon is 10+ years, the math favors accepting more volatility for more growth.
ASSET TYPES
The market goes up. Over decades.
Dow Jones Industrial Average, 1900–2025. Log scale, because each gridline is a double.
1929 crash (worst ever)�Even then, the market never touched zero. Patient investors made it back.
From 68 to 44,000�The Dow has roughly 650×'d in 125 years — through wars, crashes, and crises.
ASSET TYPES
Bulls outrun bears.
Bull markets last longer and gain more than bear markets take away. That's the long-run arithmetic.
BULL MARKETS
Average duration
9.8 years
Average total return
+519%
Best run (1949–61)
+935%
BEAR MARKETS
Average duration
1.4 years
Average drawdown
−36%
Worst (1929–32)
−83%
Bulls run 7× longer than bears — and they climb further than bears fall.
START EARLY
Meet Maya and Marcus.
Twins. Identical lives. Same 12% return. Only their investing schedule differs.
MAYA • starts early
Starts investing at age
19
Invests per year
$2,000
Years investing
8
Then stops at age
26
Total contributed
$16,000
MARCUS • starts later
Starts investing at age
27
Invests per year
$2,000
Years investing
39
Keeps going through age
65
Total contributed
$78,000
Who ends up with more at 65?
START EARLY
Maya wins. And it's not close.
Maya invested 5× less money but walks away with more. Time did the heavy lifting.
MAYA • invested $16,000
$2,288,996
at age 65
143× her money back
MARCUS • invested $78,000
$1,532,166
at age 65
20× his money back
That's $167/month for 8 years vs. $167/month for 39 years. Time > timing.
MANAGING RISK
Don't put every egg
in one basket.
Diversification
Spreading your money across many investments — different companies, industries, and asset types.
Why it works: when one investment drops, others often hold steady or rise. Your overall ride gets smoother.
Risk (volatility)
How much an investment's value swings up and down over time.
Standard deviation measures this — low = smooth ride, high = stomach-churning.
Alpha and beta
describe a fund's behavior vs. the market.
MANAGING RISK
Mutual funds do three things for you.
A mutual fund pools money from many investors and buys a bundle of stocks, bonds, or both.
01
Professional management
Experienced portfolio managers pick investments so you don't have to research every company individually.
02
Instant diversification
One purchase buys you a slice of dozens (or thousands) of securities — risk spread across the basket.
03
Tailored objectives
Pick a fund that matches your goal: growth, income, retirement target-date, ESG, a sector, or the whole market.
MANAGING RISK
Big, medium, small, tiny.
"Market cap" is a company's total stock value. It's the easiest way to compare companies of similar size.
Mega-cap
>$200B
Apple, Microsoft, Nvidia
Large-cap
$10B – $200B
Target, Hershey, Nike
Mid-cap
$2B – $10B
Dunkin' Brands, Columbia
Small-cap
$300M – $2B
Red Robin, Zumiez
Micro-cap
<$300M
Emerging / early-stage
Bigger companies tend to be more stable. Smaller ones can grow faster — with more volatility along the way.
MANAGING RISK
Savings vehicles vs. investment vehicles.
Short-term money goes in savings vehicles. Long-term money goes in investment vehicles. Different jobs, different tools.
SAVINGS VEHICLES
● Savings account
● Checking account
● Money market account
● Certificates of Deposit (CDs)
High safety • Low return
Emergency fund, rent, vacation in <2 years
INVESTMENT VEHICLES
● Stocks
● Bonds
● Mutual funds & ETFs
● Real estate
● Commodities
Higher return • Higher volatility
Retirement, 10+ year goals, wealth-building
03
CHAPTER
Picking
good funds.
Evaluate any mutual fund with the 3Rs + E: Returns, Reviews, Risk, and Expenses. Avoid the three errors most investors make.
PICKING GOOD FUNDS
The 3Rs + E framework.
Every mutual fund can be evaluated on four dimensions. Master these and you can compare any two funds in minutes.
R
Returns
1-yr, 3-yr, 5-yr, and 10-yr performance. Compare to the ~9% S&P 500 long-run average.
R
Reviews
Morningstar star rating (1-5), sustainability score, and Lipper category ranking.
R
Risk
Standard deviation. Lower = smoother ride. Compare against funds in the same category.
E
Expenses
Expense ratio (aim <1%, ideally <0.2%) and no-load only. No commissions. Ever.
Sources: morningstar.com • money.usnews.com/funds • marketwatch.com
PICKING GOOD FUNDS
Three errors most investors make.
01
Ignoring expenses
Load fees and expense ratios above 1% can eat a third of your 20-year returns. Use no-load funds with expense ratios under 0.20%.
02
Chasing hot sectors
Last year's winner is rarely next year's winner. The top-performing sector moves around wildly — past performance doesn't guarantee future results.
03
Letting emotions drive
Panic-selling at the bottom and euphoria-buying at the top is how individual investors consistently underperform the market.
The good news: all three are avoidable just by knowing they exist.
PICKING GOOD FUNDS
Last year's #1 is rarely next year's #1.
Top-performing S&P 500 sectors by year. Notice how the winners jump around.
YEAR | BEST SECTOR | RETURN | WORST SECTOR | RETURN |
2015 | Consumer Staples | +6.9% | Energy | −21.5% |
2016 | Energy | +26.1% | Real Estate | +3.2% |
2017 | Technology | +34.3% | Energy | +10.7% |
2018 | Healthcare | +4.1% | Energy | −22.0% |
2019 | Technology | +48.0% | Energy | +7.5% |
2020 | Technology | +42.2% | Energy | −37.3% |
2021 | Energy | +47.7% | Utilities | +14.1% |
2022 | Energy | +59.0% | Comm. Services | −40.4% |
2023 | Technology | +56.4% | Utilities | −10.2% |
2024 | Comm. Services | +38.9% | Materials | −1.8% |
Own the whole market, not last year's winner.
PICKING GOOD FUNDS
Why passive index funds win.
An index fund holds every stock in a market index (like the S&P 500). You get the whole market's return — no stock-picking required.
✓
Very low fees
No team of analysts picking stocks = expense ratios as low as 0.02%.
✓
Tax efficient
Funds hold securities for the long haul — fewer sales, fewer taxable gains.
✓
Minimizes turnover
Buy and hold the index. Less trading = less friction, less cost.
✓
Full transparency
You always know exactly what you own — it's the index, published daily.
Over 10 years, ~90% of actively managed funds underperform their index.
PICKING GOOD FUNDS
Four great S&P 500 index funds.
All four track the same index. Pick based on where you already have an account and the minimum you can meet.
FIRM | TICKER | EXPENSE RATIO | MINIMUM | RATING |
Fidelity | FXAIX | 0.015% | $0 | ★★★★★ |
Schwab | SWPPX | 0.02% | $0 | ★★★★★ |
Vanguard | VFIAX | 0.04% | $3,000 | ★★★★★ |
T. Rowe Price | PREIX | 0.19% | $2,500 | ★★★★☆ |
These four hold the 500 largest U.S. companies. Boring, cheap, effective.
PICKING GOOD FUNDS
Fees quietly steal your money.
Same $10,000 investment. Same 10% annual return. Different expense ratios. 20 years later:
A 2.5% fee costs you $24,552 versus a 0.02% fee — that's 37% of your gains.
STAYING INVESTED
Emotions are the enemy.
The cycle of market emotions — and why most investors buy high and sell low.
WHAT INVESTORS FEEL
Market up
"Get me in!" — euphoria, thrill
Market peaks
Anxiety → denial → fear
Market down
"Get me out!" — panic, despair
Market bottoms
Hopelessness, depression
WHAT SMART INVESTORS DO
DCA
Dollar-Cost Averaging
Invest the same dollar amount at the same interval — every paycheck, every month. You automatically buy more shares when prices are low and fewer when they're high. Emotion removed.
Automate your investing. Set it, forget it, let compounding work.
STAYING INVESTED
Two ways to reduce risk.
Over 30-year rolling periods, mixing stocks and bonds trades some return for a lot less volatility.
Younger? Lean heavier on stocks. Closer to retirement? Shift toward bonds for stability.
STAYING INVESTED
Time in the market > timing the market.
Growth of $1 across asset classes, 1926–2024. Compound annual returns in parentheses.
12.1%
$1 grew to
$38,000
Small-cap stocks
10.2%
$1 grew to
$7,400
Large-cap stocks
5.5%
$1 grew to
$150
Government bonds
3.4%
$1 grew to
$22
Treasury bills
Inflation averaged 2.9%. If you kept cash under the mattress, you lost money every year.
STAYING INVESTED
Not every year is a winner.
S&P 500 annual returns, 1974–2024. Most years positive; some years not. The average is what matters.
40 positive years out of 50
10 negative years out of 50
STAYING INVESTED
Short-term money doesn't belong in stocks.
2000 — 2002
Three down years in a row.
2000
−9.1%
2001
−11.9%
2002
−22.1%
Money you need in the next 2–5 years doesn't belong in the stock market.
Down payment, wedding, tuition, emergency fund → savings vehicles.
04
CHAPTER
The right
account.
Where you invest matters almost as much as what you invest in. Roth IRAs, Traditional IRAs, and brokerage accounts have very different tax treatments.
THE RIGHT ACCOUNT
Three accounts. Three tax treatments.
Brokerage
Taxable
Pay taxes on dividends and gains every year. Most flexible — no withdrawal rules or contribution limits.
When to use�After maxing retirement accounts
Traditional IRA
Tax-deferred
Contribute pre-tax dollars, deduct them from income now. Pay taxes when you withdraw in retirement.
When to use�If your tax rate is higher now than it'll be at 65
Roth IRA
Tax-free
Contribute after-tax dollars. Grows tax-free forever. No taxes on withdrawals after age 59½.
When to use�Most people, especially if you're young
The 2026 IRA contribution limit is $7,000 ($8,000 if you're 50+).
THE RIGHT ACCOUNT
Three questions when you open an account.
Q1
Brokerage or retirement account?
Taxable brokerage = most flexible. Retirement IRA = tax advantages, with rules. Almost everyone starts with an IRA.
Q2
Traditional IRA or Roth IRA?
Traditional = deduct now, tax later. Roth = tax now, grow tax-free forever. For most young investors: Roth wins.
Q3
Where does the money go?
Inside the account, choose investments. We suggest a no-load S&P 500 index fund. Low cost, high diversification, done.
Opening an account takes 15 minutes. Funding it is the hard part.
THE RIGHT ACCOUNT
"But what about Bitcoin?"
It's a fair question. Here's how a boring Roth IRA stacks up against a boring $400 crypto bet.
$400 IN A ROTH IRA
Small-cap value index, 40 years at ~12% historical average:
$37,220
Then withdraw 5% a year for 25 years = $108,045 in retirement income. Still leaves $156,712 behind.
$400 IN A CRYPTO BET
No long-term history. No underlying earnings. Pure volatility.
???
Could 10×. Could go to zero. If you "can afford to lose it," fine — but fund the Roth IRA first.
Boring gets you to a million. Exciting gets you a story.
GOING DEEPER
Active vs. passive.
Two philosophies of investing. Over long periods, passive wins the cost war — and often the performance war too.
PASSIVE (index funds)
✓ Low fees (0.02–0.15%)
✓ Tax efficient — low turnover
✓ Full transparency (you own the index)
✓ Beats most active funds after costs
ACTIVE (stock-pickers)
• Higher fees (0.5–2%)
• Flexibility to exit in crashes
• Hedging, short selling, tax strategies
• Needs a great manager to justify cost
On an after-tax basis over 10 years, active funds trail their index ~90% of the time.
WHAT TO DO NOW
Your action plan.
1
Build a 1-month emergency fund first
In a high-yield savings account. This is your "don't-panic" money.
2
Open a Roth IRA this week
Fidelity, Schwab, or Vanguard. 15 minutes. No minimum at Fidelity or Schwab.
3
Buy a no-load S&P 500 index fund
FXAIX, SWPPX, or VFIAX. Expense ratio under 0.05%. You now own 500 companies.
4
Automate monthly contributions
Even $50/month. Dollar-cost averaging removes the emotion.
5
Do nothing else for 30 years
Don't check the balance every day. Don't chase sectors. Don't panic-sell. Let it compound.
That's it. That's the whole plan. Start this week.
A FINMANGO GUIDE
Start today.
Thank future-you.
finmango.org • Financial health for everyone.