Chapter 1 of 22 · Unit 1 · Foundations · 5 min read

Beginner path: read to Level 4 · Series 65 path: read to Level 4 · CFA path: read to Level 4

After this chapter you can

  • Find the overview article and say why the series starts there.
  • Pick a reading path (Beginner, Series 65 or CFA) and know which level to stop at.
  • Tell a computed number from a sourced data value, and find the Gaps section when a number is missing.
  • Use the Go deeper boxes, the glossary and the history timeline to move between chapters.
In this chapter
  1. Level 1 · Plain words
    1. What the series is for
    2. Start with the overview
    3. What we do not do here
  2. Level 2 · How it works
    1. Four levels in every chapter
    2. What a chapter page holds
    3. Three reading paths
    4. Moving around
  3. Level 3 · The math
    1. Every number is computed
    2. Every formula says itself in words
    3. Data values carry a source and a date
  4. Level 4 · History, analysed
    1. History cards
    2. How we treat dates and figures
  5. Sources
  6. Gaps
  7. Terms
In this chapter
  1. Level 1 · Plain words
    1. What the series is for
    2. Start with the overview
    3. What we do not do here
  2. Level 2 · How it works
    1. Four levels in every chapter
    2. What a chapter page holds
    3. Three reading paths
    4. Moving around
  3. Level 3 · The math
    1. Every number is computed
    2. Every formula says itself in words
    3. Data values carry a source and a date
  4. Level 4 · History, analysed
    1. History cards
    2. How we treat dates and figures
  5. Sources
  6. Gaps
  7. Terms

The series starts with the overview article, which walks through the 11 asset classes in plain words. Read that first if you have not. This chapter explains how the 22 chapters behind it are built, so you can decide how far down each one to go.

Level 1 Plain words

For every reader: the idea in plain words, no formulas.

What the series is for

Most people learn investing from products: a fund a friend owns, a stock in the news, a savings rate at the bank. We start one step back. Each chapter takes one idea, such as risk, probability, bonds or options, and explains it in ordinary language before any formula appears. A reader who stops after the first two levels of every chapter has a complete beginner course. A reader who goes all the way down has covered the material that the Series 65 exam and the CFA curriculum expect.

Start with the overview

The overview article is step zero. It names the 11 classes, from US stocks to cash, and gives each a job, a set of risks and a short history. The chapters here go deeper into the ideas that article uses without explaining: why a bond loses value when rates rise, what a standard deviation measures, how the Federal Reserve sets short rates. Each class in the article now ends with a link into Chapter 20, which takes the 11 classes one at a time and lists what moves each of them.

What we do not do here

Nothing in the series is advice for your own money. We explain how markets and instruments work and show the arithmetic. Your goals, taxes and time horizon belong to you, and a decision about them needs someone who knows your whole situation.

Level 2 How it works

For readers who want the mechanism, with the diagrams.

Four levels in every chapter

Every chapter has the same four levels, always in the same order.

  1. Plain words: an idea with no formulas.
  2. How it works: mechanisms, with diagrams.
  3. The math: formulas and worked examples.
  4. History, analysed: real episodes run through the Level 3 math.

You go deeper by scrolling. A small badge on a level heading tells you where your path stops, and a contents box near the top of the page lists every section so you can jump.

What a chapter page holds

Above the first level, a progress line gives the chapter number, the unit and how many minutes the chapter takes. Under it sits a box of outcomes: what you should be able to do after reading. After Level 4 come three short sections. Sources lists who published each figure. Gaps lists what we left in words. Terms defines every glossary word the chapter uses, and those definitions feed the glossary page.

The Learn series: the overview article, then 8 units and 22 chaptersStep 0 · The overview articlethe 11 asset classesUnit 1Ch 1–4Foundations4 chaptersUnit 2Ch 5–7The economy3 chaptersUnit 3Ch 8–9Fixed income2 chaptersUnit 4Ch 10–11Equities2 chaptersUnit 5Ch 12–14Real assetsand currencies3 chaptersUnit 6Ch 15–17Derivatives3 chaptersUnit 7Ch 18–20Portfolios andbehaviour3 chaptersUnit 8Ch 21–22Rules andpractice2 chaptersEach chapter: plain words → how it works → the math → history, analysed
The eight units of the series as one path, with the number of chapters in each. The overview article is the first stop.

Three reading paths

We built three paths through the same pages. The Beginner path reads every chapter to Level 2. The Series 65 path reads to Level 3 and adds the rules chapters of Unit 8. The CFA path reads everything. You can switch at any time; the Beginner path page, the Series 65 path page and the CFA path page list every chapter with links to the level where that path stops.

Moving around

At the bottom of each chapter you will find Previous, Series home and Next. Chapter 1 links back to the overview article, and the last chapter tells you it is the last. Inside a chapter, a word with a dotted underline is a glossary term: hover or focus it for a short definition, or tap it on a phone to open the glossary. The Go deeper boxes at the end of each level point at sections of other chapters that take the same idea further.

Level 3 The math

For Series 65 and CFA readers: formulas and worked examples.

Every number is computed

When a chapter quotes a number from an example, a program computed it from inputs we state in the sentence, and the build of the page reruns that program. Ten thousand dollars left for thirty years at 7 % a year grows to $76,123; that figure comes from the formula below, evaluated when the page is made. If we change an input, the number on the page changes with it, and a test checks the important ones.

FV=PV(1+r)nFV = PV \, (1 + r)^{n}

In words, the future value equals today's sum multiplied by one plus the yearly rate, once for every year.

Every formula says itself in words

Each displayed equation is followed by a sentence that starts with "In words". That sentence is the formula read aloud, so a reader who skips the symbols still follows the argument, and the help chat on the client portal indexes it. The formula sheet collects every labelled equation from all 22 chapters with its sentence.

Data values carry a source and a date

A number that comes from a published series, such as an unemployment rate or a Treasury yield, names who publishes it and the date we took it. Diagrams built from data have a "Show the numbers" table under them with the same source line. When we could not find a figure we trust, we describe the idea in words and list the missing number in the chapter's Gaps section, near the end of the page. We would rather leave a gap than print a guess.

Level 4 History, analysed

For readers who want past episodes run through the Level 3 math.

Beginner path stops hereSeries 65 path stops here

History cards

Level 4 of each chapter takes real episodes, such as the 1973 oil embargo, the 1987 crash or the 2022 rate rises, and runs them through the math from Level 3. Each one sits in a card with its year, and every card also appears on one history timeline that runs from the 1720 South Sea bubble to the last few years.

1987 A day the normal curve could not explain

On 19 October 1987 the S&P 500 fell 20.5 % in one session. Chapter 3 compares that fall with the size of a normal day and shows why a bell curve called it next to impossible. We use it here as a sample of what a history card does: it opens with the event and the date, then hands the reader to the chapter that does the arithmetic.

How we treat dates and figures

We pin dates to a short list checked against the publishers (the NBER for recession dates, the Federal Reserve for policy rates, the exchanges for index closes). A figure we cannot tie to a publisher stays out of the sentence and goes to Gaps in words. When two sources disagree, we name the one we use. Past episodes show what has happened; they do not tell anyone what will happen next.

Sources

  • The overview article in this series, "Basics of investment management: the 11 asset classes".
  • National Bureau of Economic Research, US Business Cycle Expansions and Contractions, nber.org.
  • S&P Dow Jones Indices for the S&P 500 fall of 19 October 1987.

Gaps

None.

Terms

asset class
a group of investments that behave alike because they pay for the same kind of risk, such as stocks, bonds or cash.
future value
what a sum invested today grows to after a number of years at a stated rate.

Educational only. Not investment, tax, or legal advice, and not an offer of advisory services. InnovationStrat Wealth, LLC is not yet registered as an investment adviser.