Every guide, by topic
All Articles
Every guide on the site, grouped by topic in the order the topics build. Pillar guides come first in each group and assume no prior knowledge.
How Wall Street Works
How the U.S. stock market is built: exchanges, market makers, order types, trading hours, IPOs, indices and the market structure rules that shape every fill. Topic overview →
- Start here
What Is Wall Street? How the U.S. Financial System Works
A plain map of the U.S. financial system: exchanges, banks, brokers, funds and regulators, what the buy side and sell side actually do, and where your money sits in all of it.
- beginner
How the Stock Market Works: From Your Order to the Exchange
What actually happens between pressing buy and owning a share. The order book, the matching engine, NYSE versus Nasdaq, and why the money leaves your account a day later.
- intermediate
Market Makers and Liquidity: Who Is on the Other Side of Your Trade
Someone takes the other side of every trade you make, and they are paid to do it. What a market maker earns, why the spread widens when you most want to sell, and how to measure the toll.
- beginner
Stock Order Types Explained: Market, Limit, Stop and More
The order type you choose decides whether you control your price or your certainty of getting filled. You cannot have both, and picking the wrong one is expensive in predictable ways.
- beginner
Stock Market Hours: Pre-Market, the Open, the Close and After Hours
The trading day is four different markets wearing one name. What changes in each session, why the closing auction is the most important minute of the day, and where extended hours quietly costs you.
- intermediate
How IPOs Work: From Private Company to Public Ticker
An IPO is a negotiated sale dressed as a market event. Who sets the price, who gets the shares, what the banks are paid, and why the first day you can buy is usually the worst one.
- beginner
Stock Market Indices Explained: S&P 500, Dow and Nasdaq
Three indices, three different rules for turning hundreds of prices into one number. Work through the weighting maths once and the daily headline stops being mysterious.
- advanced
Dark Pools, HFT and Reg NMS: Modern Market Structure Explained
The U.S. equity market is dozens of venues held together by one rule about best price. What that rule created, who profits from the seams in it, and where the safety switches sit.
- beginner
How to Choose a Broker: Fees, Execution and What Matters
The headline commission is zero at almost every US broker now, so the comparison has moved to places the marketing page does not mention. Here is where to look.
Stocks
From your first share purchase to reading an earnings report: valuation ratios, growth vs value, dividends, buybacks, splits and how to analyze a stock. Topic overview →
- Start here
How to Invest in Stocks: A Beginner's Step-by-Step Guide
The account, the first purchase and the years that follow, written for the person who has been staring at the buy button for four days.
- intermediate
How to Read an Earnings Report in 20 Minutes
The headline EPS is the least useful number in the release. Here is the order a desk reads a quarter in, and where the move actually comes from.
- intermediate
Stock Valuation Basics: P/E, P/S, P/B, EV/EBITDA and PEG
One company, five multiples, the same numbers running through all of them, and the specific thing each ratio cannot see.
- beginner
Growth vs Value Stocks: The Difference and Why It Cycles
Two different things you can be paying for, the arithmetic that makes one of them so sensitive to interest rates, and why switching to the winner is usually late.
- beginner
Dividend Investing: Yield, Payout Ratios and Dividend Growth
What $100 arriving every quarter really depends on: the ex-dividend date, the payout ratio, the growth rate, and the warning signs that turn up before a cut.
- intermediate
Stock Buybacks Explained: What They Do to Your Shares
A repurchase raises earnings per share without the business earning a dollar more. Here is the arithmetic, and the price above which it stops working for you.
- beginner
Stock Splits Explained: Forward, Reverse and What Changes
You wake up owning four times as many shares at a quarter of the price. Here is exactly what moved, what did not, and the one version that carries a real warning.
- intermediate
How to Analyze a Stock: A Repeatable Checklist
Same steps, same order, every company. That is what makes the output comparable, and comparability is the only edge in this that survives a bad month.
- beginner
Market Cap Explained: Large, Mid and Small Cap Stocks
Market cap is one multiplication, and almost every index in the world is built on it. Here is the arithmetic, the size bands, and the two adjustments professionals make.
- intermediate
How to Read Financial Statements: The Three You Need
Three statements, one company, one set of numbers that has to tie out. Follow the arithmetic all the way through and the gap between reported profit and real cash becomes obvious.
ETFs & Funds
What an ETF is, how index funds track a market, ETFs vs mutual funds, what expense ratios really cost, and the sector, bond and leveraged funds to know. Topic overview →
- Start here
What Is an ETF? How Exchange-Traded Funds Work
One share, hundreds of holdings, a few dollars a year in fees. Here is the machinery behind an exchange-traded fund and what it costs you to use it.
- beginner
Index Funds Explained: Why Owning the Market Beats Most Managers
An index fund buys the whole list and charges almost nothing for it. The reason that works is arithmetic, and the arithmetic is worth seeing written out.
- beginner
ETF vs Mutual Fund: Which Should You Own?
Same holdings, different plumbing. The differences that matter are pricing, minimums, automatic investing and the tax bill you did not choose to trigger.
- beginner
Expense Ratios Explained: What a Fund's Fee Really Costs
The fee never shows up on your statement, which is exactly why it is worth writing out in dollars. Here is what each tenth of a percent takes over a working life.
- intermediate
Sector ETFs: The 11 Sectors and How to Use Them
A sector fund is an overweight on top of a portfolio that already owns every sector. Here is how to work out the weight you are actually taking, in numbers.
- intermediate
Leveraged and Inverse ETFs: Why They Decay Over Time
A 3x fund promises three times the index for one day. Over a choppy week the arithmetic produces something quite different, and here it is written out day by day.
- intermediate
Bond ETFs Explained: Duration, Yield and What You Actually Own
You own a rolling portfolio that is always being replaced, so there is no date when your money comes back. Duration is the number that tells you what that costs.
- beginner
REITs Explained: Property Income Without the Property
Rent, without a tenant calling you at midnight. The structure that makes the yield possible also explains the debt, the share issuance and the tax treatment.
- beginner
Mutual Funds Explained: NAV, Share Classes and Loads
The price is calculated, never quoted. Inside that daily number sit the share class, the load, the 12b-1 fee and the trading decisions of every other holder.
Bonds & Rates
How bonds work, why prices and yields move opposite, what the yield curve is saying, how Treasuries are auctioned, and what duration and credit spreads mean. Topic overview →
- Start here
How Bonds Work: Coupons, Prices and Why Yields Move Opposite
The payments written into a bond never change. The price changes every day. Almost everything confusing about the bond market falls out of that one arrangement, worked through here in dollars.
- intermediate
Bond Yields Explained: Current Yield, YTM and Yield to Call
One bond can carry four yields at once, all of them arithmetically correct, and the one a seller shows you is rarely the one you should be planning on. Here is how each is built.
- intermediate
The Yield Curve Explained: Normal, Flat, Inverted and What Each Means
One line plots the price of time. Its slope has preceded every US recession since the late 1960s, and the lag has run anywhere from six months to two years, which is a warning and not a date.
- beginner
Treasury Bills, Notes, Bonds and TIPS: A Complete Guide
Four instruments, one borrower and an auction calendar that runs whether anyone is watching or not. What bills, notes, bonds and TIPS actually pay, and how to read the result sheet.
- intermediate
Duration Explained: How Much a Bond Falls When Rates Rise
Multiply modified duration by the change in yield and you have your loss to within a fraction of a percent. Here is where that number came from, what it is quietly assuming, and where it stops working.
- intermediate
Corporate Bonds and Credit Spreads: Investment Grade to Junk
A corporate bond is a Treasury plus a bet on a company paying you back. The spread is the price of that bet, it moves faster than any rating agency, and the document behind it says more than the letter does.
- intermediate
Municipal Bonds Explained: Tax-Free Income and Its Fine Print
A 3.40% municipal yield is worth 5.00% to an investor in a 32% bracket and 3.86% to one in a 12% bracket. The same bond, bought on the same day, is two different investments.
- intermediate
TIPS Explained: Inflation-Protected Treasury Bonds
The coupon is the small half of what a TIPS pays you. The other half is added to the principal, taxed before it arrives, and handed over years later at maturity.
- intermediate
Bond Ladders: Building One and What It Solves
Five bonds, five maturity dates, one decision repeated every year. A ladder spreads the reinvestment question across time so that no single morning decides your income.
Economy & the Fed
How the Federal Reserve sets rates, how rates flow through to stocks, and how to read CPI, the jobs report, GDP and the other releases that move markets. Topic overview →
- Start here
How the Federal Reserve Works: The FOMC, Rates and the Dual Mandate
Congress built the Federal Reserve out of an argument it could not settle, and the committee that sets the price of overnight money publishes everything it decides. Reading those documents is the skill.
- intermediate
How Interest Rates Affect Stocks: Discount Rates and Duration
One percentage point on the discount rate can take a third off a fast-growing company without anything happening at the company. Here is the arithmetic, and here is where it stops explaining anything.
- beginner
Inflation and CPI Explained: Headline, Core and Reading the Release
The CPI release opens with the same two sentences every month, and everything that follows explains them. Here is how to turn an index level into a rate yourself.
- beginner
The Jobs Report Explained: Payrolls, Unemployment and Wages
Payrolls come from business records and the unemployment rate comes from households, and the Bureau of Labor Statistics is careful to say when a change is too small to call a change.
- beginner
GDP Explained: What It Measures and the Three Estimates
The man who built the national accounts told Congress in 1934 that the welfare of a nation could scarcely be inferred from them. The number has been treated as a verdict on national wellbeing ever since.
- intermediate
Quantitative Easing and Tightening: The Fed's Balance Sheet
The Bank of Japan gave the policy its name in 2001 and the label unconventional stuck for a decade. Two crises later, the balance sheet is an ordinary instrument with ordinary accounting behind it.
- intermediate
Recession Indicators: Yield Curve, Sahm Rule, Claims and the LEI
The committee that dates American recessions has announced a turning point more than a year after it happened. These are the measures people watch in the meantime, with the failures attached.
- beginner
The Economic Calendar: Which Releases Move Markets and When
Every month runs the same order, and a handful of entries in it account for most of the sharp intraday moves in Treasuries. Learn the sequence once and it serves for years.
- intermediate
The Dollar Explained: DXY, Rates and Why It Moves Markets
The most watched dollar gauge is six currencies wide and more than half euro. Here is what it measures, what moves it, and where a rising dollar shows up in a portfolio.
Portfolio & Risk
Asset allocation, diversification, rebalancing, dollar-cost averaging vs lump sums, measuring portfolio risk, tax-efficient investing and retirement basics. Topic overview →
- Start here
Asset Allocation: The Decision That Drives Most of Your Returns
Before you choose a single fund, you choose how much of your money sits in stocks and how much sits in bonds and cash. Here is how to make that decision on purpose.
- beginner
Diversification Explained: Why 30 Stocks Can Still Be One Bet
Owning thirty names feels diversified. If they rise and fall together, you own one position in thirty pieces. Correlation is the number that tells you which you have.
- beginner
Portfolio Rebalancing: When, How Often and How to Do It Cheaply
A strong year for stocks quietly turns a 60/40 portfolio into a 68/32 one. Here is the arithmetic, the two trades that fix it, and how to avoid paying tax you never needed to pay.
- beginner
Dollar-Cost Averaging vs Lump Sum: What the Evidence Says
A $500 monthly contribution through a falling and recovering market, with the average cost worked out in full, and an honest look at which approach the evidence favours.
- intermediate
Measuring Portfolio Risk: Volatility, Beta, Sharpe and Drawdown
Four numbers describe how risky a portfolio is, and they disagree with each other. Here is how each one is calculated, and which one actually predicts whether you will sell.
- intermediate
Tax-Efficient Investing: Account Location and Tax-Loss Harvesting
The same $10,000 gain can cost you very different amounts depending on the calendar. Here is how holding periods, account choice and fund structure change what you keep.
- beginner
Retirement Portfolio Basics: 401(k)s, IRAs and the 4% Rule
Which account to fill first, what the match is really worth, how a target-date fund changes as you age, and an honest reading of the 4 percent rule.
- beginner
401(k) Explained: Match, Vesting, Fees and Rollovers
Four things inside a workplace plan decide most of your result: the match you claim, the vesting clock, the fee on the fund menu, and what you do with the money on your last day.
- beginner
Emergency Funds: How Much, and Where to Keep It
The right number comes out of your bills, and it is personal. Here is how to work it out, what the cash costs you in expected return, and where the money can sensibly sit.
Trading Strategies
How to start trading stocks, the honest version of day and swing trading, momentum and mean reversion, earnings season, and the risk rules that decide who lasts. Topic overview →
- Start here
How to Start Trading Stocks: Accounts, Plans and Your First 50 Trades
Trading is an administrative job before it is a skilled one. The account, the rule, the number you will not exceed, and the record, in that order.
- intermediate
Day Trading Explained: Rules, Costs and the Real Odds
Nothing held overnight. That one choice sets your rulebook, your annual toll and the size of edge you need before any of it is worth doing.
- beginner
Swing Trading Explained: Holding for Days to Weeks
A longer clock cuts the toll you pay to trade and hands you one risk in return: the price can move a long way while you are asleep.
- intermediate
Momentum Trading: Buying Strength and Managing the Reversal
Buying what has already gone up is well documented and deeply uncomfortable. It also fails all at once, which is a sizing problem before it is an analysis problem.
- intermediate
Mean Reversion Trading: Fading Extremes Without Catching Knives
This method wins most of the time, which is exactly what makes it dangerous. The losses arrive in a few trades and the expectancy decides everything.
- intermediate
Trading Earnings Season: Gaps, IV Crush and the Drift
An earnings date turns an ordinary position into a binary event that your stop order cannot sit inside. Here is what the market charges for it.
- beginner
Risk Management for Traders: The 1% Rule, R Multiples and Expectancy
Lose 30 percent and you need 42.9 percent to get back. Every rule on this page exists because of that one piece of arithmetic.
- beginner
Trading Psychology: Why Traders Break Their Own Rules
Every psychological failure in trading lands in two numbers on your statement. Both of them can be defended with a rule instead of a resolution.
- intermediate
Breakout Trading: Entries, False Breaks and Sizing
A break through a level is a liquidity event before it is a signal. Where you enter decides your size, and your size decides what the failures cost.
- advanced
How to Backtest a Strategy Without Fooling Yourself
A backtest measures your assumptions first and the strategy second. Six of those assumptions decide whether the curve on your screen has anything to do with an account.
Technical Analysis
How to read a stock chart: candlesticks, support and resistance, moving averages, RSI and MACD, volume, chart patterns and Bollinger Bands, and their limits. Topic overview →
- Start here
Technical Analysis for Beginners: What Charts Can and Cannot Tell You
Every indicator is arithmetic performed on price. Knowing the calculation is what tells you when the output is informative and when it is meaningless.
- beginner
How to Read Candlestick Charts: Bodies, Wicks and Key Patterns
A candle is four prices. Every reading worth having comes from dividing those four prices by each other, and the name of the shape comes last.
- beginner
Support and Resistance: Finding the Levels That Matter
Support and resistance is the only technical tool with no formula behind it, which is exactly why it is the easiest one to fool yourself with.
- beginner
Moving Averages Explained: SMA, EMA, Crossovers and the 200-Day
A moving average is a mean you recompute daily. The formula also tells you when the line moves for reasons that have nothing to do with today's price.
- intermediate
RSI, MACD and Stochastics: Momentum Indicators Explained
Three oscillators, three formulas, one column of closing prices. Build them by hand once and the redundancy between them becomes impossible to unsee.
- intermediate
Volume Analysis: Confirming Moves and Spotting Exhaustion
Volume is the only series on a chart that is not derived from price. It is also the one most often described in words the arithmetic does not support.
- intermediate
Chart Patterns: Head and Shoulders, Double Tops, Triangles, Flags
A pattern is tradeable once you can state its break level, its projection and the price that kills it. Those three numbers are geometry, and they need no statistics.
- intermediate
Bollinger Bands, ATR and Keltner Channels Explained
Price cannot tell you how far a stock usually travels in a day. That missing dimension is the whole job of a volatility indicator, and both calculations are short.
- intermediate
Fibonacci Retracements: The Levels and the Evidence
Four of the five standard levels are powers of 0.618. The fifth belongs to a different tradition entirely, and your choice of swing moves every line on the chart.
- intermediate
VWAP Explained: The Benchmark Institutions Trade Against
VWAP is one division: dollars traded divided by shares traded. The denominator only ever grows, which is why the afternoon line is so hard to move.
Options & Derivatives
Options from first principles: calls, puts, premium, the Greeks, implied volatility, and the covered call, cash-secured put, spread and futures strategies. Topic overview →
- Start here
Options Trading for Beginners: Calls, Puts and Premium Explained
Calls, puts, strikes, premium and expiry, with the arithmetic for a single contract shown at every step so you can check the numbers yourself.
- intermediate
Option Greeks Explained: Delta, Gamma, Theta, Vega and Rho
Delta, gamma, theta, vega and rho are sensitivities, and each one turns into dollars when you multiply by 100. One contract, five numbers, all of them worked.
- intermediate
Implied Volatility Explained: IV, IV Rank and the Earnings Crush
IV is solved backwards out of the option price rather than measured from history. Here is the arithmetic that turns a percentage into an expected dollar move.
- intermediate
Covered Calls: How to Earn Income on Stocks You Already Own
A covered call converts unknown upside into a known premium. Here is the static return, the if called return, and the payoff at every expiry price.
- intermediate
Cash-Secured Puts: Getting Paid to Wait for Your Price
Selling a put collects premium for agreeing to buy 100 shares at your strike. Here is the return on the cash you tie up, and the loss the arithmetic allows.
- intermediate
Vertical Spreads Explained: Bull Call, Bear Put, Credit and Debit
A vertical spread caps both ends of the payoff for a known cost. Here are all four, with the arithmetic that fixes the maximum profit and loss before you trade.
- advanced
Iron Condors and Strangles: Trading a Range
Both structures get paid when a stock goes nowhere. Here is the credit, the defined and undefined loss, and the expected value arithmetic sellers skip.
- intermediate
Futures Trading Basics: Contracts, Margin, Contango and the E-mini
Futures are sized by a multiplier rather than by share count. Here is the tick arithmetic, the leverage it creates, and where contango takes money from holders.
- intermediate
Options Expiration and Assignment: What Actually Happens
Expiration runs on published rules that nobody reads until a share position appears on Saturday. Here is the sequence, with the arithmetic that decides each step.
- intermediate
Protective Puts and Collars: Paying to Cap Your Downside
A put turns an open ended loss into a known one for cash paid up front. Here is the annualised price of that floor, and what selling a call to fund it really costs.
Pro Desk
For experienced investors: market microstructure, factor investing, the VIX, options flow, Kelly sizing, pairs trading, macro regimes and short selling. Topic overview →
- Start here
Market Microstructure: How Prices Actually Form
A price is the output of a queue, an auction and a set of dealers pricing the risk that you know something they do not. Here is the machinery underneath the last trade.
- advanced
Factor Investing: Value, Momentum, Quality, Size and Low Volatility
A factor is a rule for sorting stocks and a return series attached to that rule. Here are the formulas, one worked attribution, and an honest account of how long the bad stretches run.
- advanced
Volatility and the VIX: What It Measures and How It Is Traded
VIX 20 is a statement about a 5.8 percent move over the next month. Turning that statement into a position runs through futures, roll yield and a product that once lost almost everything overnight.
- advanced
Options Flow, the Put/Call Ratio and Gamma Exposure
A large options print tells you less than the alert says it does. Dealer hedging flows tell you more, and they can be computed from open interest with one line of arithmetic.
- advanced
The Kelly Criterion and Position Sizing Beyond the 1% Rule
Kelly answers a question the 1 percent rule never asks: given an edge, what fraction of capital maximizes long run growth? The answer is computable, and it is almost always too large to use.
- advanced
Pairs Trading and Statistical Arbitrage
A pair trade is a bet that a computed spread reverts. Here is the regression that gives you the hedge ratio, the z-score that gives you the entry, and the reasons the relationship stops holding.
- advanced
Macro Regimes: Growth, Inflation and What Works in Each Quadrant
Two variables, four boxes. The framework is old, the historical record behind it is thinner than it looks, and its main value is telling you which risk your portfolio is quietly concentrated in.
- advanced
Fed Funds Futures and the Dot Plot: Reading What the Market Expects
The market's expected rate path is a published number you can compute yourself from futures prices. The committee's own projection is a different number, and the gap between them is tradeable.
- advanced
Short Selling Explained: Borrow, Locate, Squeeze and Unlimited Risk
Selling something you do not own involves a lender, a locate, a fee that accrues daily and a loss profile with no upper bound. Here is every piece of it with the numbers attached.
- advanced
Earnings Quality: Accruals, Cash Flow Gaps and Accounting Red Flags
Reported profit is an opinion expressed in a number. Cash is a fact. The distance between the two is measurable, and it has been one of the more durable predictors of disappointment.