Interactive Study Materials

An option is a contract that gives you the right (but not the obligation) to buy or sell a stock at a specific price before a certain date.

Call Option: The right to BUY. You buy a call when you think the stock will go UP. Example: You buy a $150 call on AAPL expiring in 30 days. If AAPL rises to $160, your call lets you buy at $150 and sell at $160 for a $10 profit per share.

Put Option: The right to SELL. You buy a put when you think the stock will go DOWN. Example: You buy a $150 put on AAPL. If AAPL drops to $140, your put lets you sell at $150 even though it's worth $140.

Key Terms:
Strike Price: The price you can buy/sell at
Expiration: The deadline for your option
Premium: What you pay for the option (your max loss if buying)
In the Money (ITM): Option has value right now
Out of the Money (OTM): Option has no value yet

Options amplify both gains and losses. A stock moving 5% could make your option move 50%. Start small and learn the mechanics before risking real money.

Options flow shows what big traders (institutions, hedge funds) are betting on. Here's what to look for:

Put-Call Volume Ratio: Compares put volume to call volume. Below 0.7 means more calls are being bought (bullish). Above 1.0 means more puts are being bought (bearish). Around 0.7-1.0 is neutral.

Put-Call Open Interest Ratio: Same idea but for existing contracts, not just today's trades. It shows the overall positioning, not just today's bets.

IV Skew: If put options are more expensive than call options, traders are paying more for downside protection (bearish). If calls are pricier, they're paying for upside (bullish).

Unusual Activity: When a single strike has way more volume than normal, someone big is making a bet. 4 unusual call strikes + 7 unusual put strikes = mixed sentiment.

Example: P/C ratio 0.83, OI ratio 0.93, 4 unusual calls, 7 unusual puts = slightly bullish flow but hedging activity is present. Not a strong directional signal.

The put-call ratio divides the number of put options by call options. Think of it like a poll: puts are votes for 'going down' and calls are votes for 'going up'.

Below 0.7: More people betting on going up (bullish)
0.7 to 1.0: About equal (neutral)
Above 1.0: More people betting on going down (bearish)
Above 1.5: Extreme fear (contrarian bullish -- when everyone is scared, the bottom might be near)

Important: The ratio CAN'T be negative. It's always a positive number because you're dividing two counts.

IV Skew measures the difference in implied volatility between put options and call options. Think of it like insurance pricing.

If home insurance costs way more than usual, it means the insurance company thinks something bad might happen. Same with options -- if puts (downside insurance) are priced much higher than calls, the market is nervous.

Positive skew (puts > calls): Market is paying more for downside protection (bearish tilt)
Negative skew (calls > puts): Market is paying more for upside (bullish tilt)
Flat skew: No strong directional bias in option pricing

Open interest is the total number of option contracts that are currently active (not yet closed or expired). Think of it like the number of bets still on the table.

Rising price + rising open interest: New money flowing in, trend is strong
Rising price + falling open interest: Short sellers covering, trend may be weakening
Falling price + rising open interest: New shorts opening, bearish pressure building
Falling price + falling open interest: Longs giving up, selling pressure may be fading

High open interest at a specific strike price acts like a magnet -- the stock often gravitates toward it near expiration (called 'max pain').

VaR tells you the most you could lose on a normal bad day. If your portfolio's daily VaR at 95% is $500, it means: on 95 out of 100 days, you won't lose more than $500. On the other 5 days, you could lose more.

Think of it like a weather forecast: 'There's a 95% chance it won't rain more than 2 inches today.' It doesn't mean it CAN'T rain 5 inches -- just that it's unlikely.

VaR is useful for sizing positions: if your VaR is too high relative to your account, you're taking on too much risk.

Beta measures how much a stock moves compared to the overall market.

Beta = 1.0: Moves exactly with the market. If the market goes up 1%, this stock goes up 1%.
Beta = 1.5: Moves 50% MORE than the market. Market up 1% = stock up 1.5%. More exciting, more risky.
Beta = 0.5: Moves 50% LESS than the market. Market up 1% = stock up 0.5%. Calmer, safer.
Beta = 0: Doesn't care about the market at all (like gold sometimes).
Beta < 0: Moves OPPOSITE to the market (very rare).

Example: Tesla has a beta around 2.0 -- when the market drops 1%, Tesla often drops 2%. That's why it feels like a rollercoaster.

The Sharpe Ratio measures return per unit of risk. It answers: 'How much extra return am I getting for the extra risk I'm taking?'

Think of two pizza delivery drivers. Both deliver 10 pizzas per hour, but one drives on smooth roads and the other on icy mountain roads. The smooth-road driver has a better Sharpe Ratio -- same result, less risk.

Sharpe < 0: You're losing money
Sharpe 0 - 1.0: Not great -- you could do better in bonds
Sharpe 1.0 - 2.0: Good -- solid risk-adjusted returns
Sharpe > 2.0: Excellent -- very efficient use of risk
Sharpe > 3.0: Rare and possibly too good to be true

Drawdown measures the drop from a peak to a trough in your portfolio. If your account hit $10,000 and then dropped to $8,000, that's a 20% drawdown.

Think of it like hiking -- drawdown is how far you've fallen from the highest point on the trail. Max drawdown is the deepest valley you've been in.

Why it matters: A 50% loss requires a 100% gain to recover. A 20% loss only needs a 25% gain. Keeping drawdowns small is crucial.

Position sizing decides how much money to put into each trade. It's the most important risk management tool.

The basic rule: never risk more than 1-2% of your total account on a single trade. If you have $10,000, you shouldn't lose more than $100-200 on any one trade.

How to calculate it:
1. Decide your stop loss (e.g., 5% below entry)
2. Calculate how many shares you can buy so that a 5% drop = $200 loss
3. If the stock is $100 with a $95 stop loss ($5 risk per share): $200 / $5 = 40 shares

This way, even 5 losing trades in a row only costs you 10% of your account.

Diversification means not putting all your eggs in one basket. If you own 10 different stocks across different industries, one bad stock won't destroy your whole portfolio.

Good diversification: Owning Apple (tech), JPMorgan (banks), Johnson & Johnson (healthcare), Exxon (energy), and Procter & Gamble (consumer goods). Different sectors react differently to the same news.

Bad diversification: Owning Apple, Microsoft, Google, Amazon, and Meta. They're all tech -- if tech drops, they ALL drop together.

Market regime describes the overall mood of the market. There are three main regimes:

RISK-ON: Investors are confident and buying stocks aggressively. VIX is low (below 20), growth stocks are leading. Like a sunny day at the beach.

RISK-OFF: Investors are scared and selling stocks, buying safe assets like bonds and gold. VIX is high (above 25), defensive stocks outperform. Like a storm warning.

NEUTRAL: No strong direction. VIX is moderate (20-25), markets are choppy. Like overcast weather -- could go either way.

Why it matters: A stock with a LONG signal in a RISK-OFF regime is fighting the tide. It's much harder to profit going against the market's mood.

VIX is the market's 'fear gauge'. It measures how much volatility traders EXPECT over the next 30 days, based on S&P 500 option prices.

VIX below 15: Very calm, complacent (sometimes too calm before a storm)
VIX 15-20: Normal conditions
VIX 20-30: Elevated anxiety
VIX 30-40: High fear
VIX above 40: Panic (happened during COVID crash, 2008 crisis)

Fun fact: VIX usually spikes UP fast (fear is sudden) but drifts DOWN slowly (confidence builds gradually). That's why it's sometimes called the 'fear index' -- fear arrives in an elevator, confidence takes the stairs.

Support is a price level where a stock tends to stop falling -- like a floor. Resistance is where it tends to stop rising -- like a ceiling.

Think of a bouncy ball in a room. The floor is support (price bounces up from it). The ceiling is resistance (price bounces down from it).

Why they work: At support, buyers step in because they think it's a good deal. At resistance, sellers take profits because they think it's expensive enough.

When support breaks, it often becomes the new resistance (the floor becomes the ceiling). When resistance breaks, it becomes the new support.

A bull market means stocks are going up overall (20%+ gain from a low). A bear market means stocks are dropping (20%+ decline from a high).

Why 'bull' and 'bear'? A bull attacks by thrusting its horns UP. A bear attacks by swiping its paws DOWN.

Bull markets tend to last longer (average 5-7 years) but climb slowly. Bear markets are shorter (average 1-2 years) but drop fast. That's why the saying goes: 'Bulls take the stairs, bears jump out the window.'

Volume is the number of shares traded in a period. It tells you how much conviction is behind a price move.

Price up + high volume: Strong buying. Real demand. Trend is reliable.
Price up + low volume: Weak rally. Few buyers. Could reverse easily.
Price down + high volume: Heavy selling. Institutions are dumping. Watch out.
Price down + low volume: Light selling. Maybe just profit-taking. Less scary.

Think of volume like applause at a concert. A loud standing ovation (high volume) means the crowd really loved it. Polite clapping (low volume) means they're not that excited.

Each candlestick shows 4 prices: Open, High, Low, Close (OHLC).

Green (or white) candle: Price closed HIGHER than it opened. Buyers won that day.
Red (or black) candle: Price closed LOWER than it opened. Sellers won.

The thick body shows open-to-close range. The thin lines (wicks/shadows) show the highest and lowest prices reached during the day.

Long body: Strong move in one direction (decisive day)
Short body: Not much difference between open and close (indecision)
Long upper wick: Price went up but sellers pushed it back down
Long lower wick: Price went down but buyers pushed it back up

P/E (Price to Earnings) ratio tells you how much you're paying for each dollar of profit a company makes. If a stock is $100 and earns $5 per share, the P/E is 100/5 = 20.

Think of it like buying a lemonade stand. If the stand makes $1,000/year profit and someone wants $20,000 for it, the P/E is 20. You'd need 20 years of profits to pay it off.

P/E below 15: Could be cheap (value stock) or the company might be in trouble
P/E 15-25: Normal range for healthy companies
P/E above 25: Investors expect fast growth (like tech stocks)
P/E above 50: Very expensive -- needs to grow a LOT to justify the price

Earnings are a company's profits -- revenue minus all costs. Every quarter, public companies report their earnings, and the stock price often moves big.

What happens on earnings day:
Beat expectations: Stock usually goes up (but not always if the beat was small)
Miss expectations: Stock usually drops
Guide higher: Company says next quarter will be even better (very bullish)
Guide lower: Company warns next quarter will be worse (very bearish)

Surprise matters more than the number itself. A company earning $1.05 when Wall Street expected $1.00 (5% beat) matters more than whether $1.05 is a 'big' number.

Market cap = stock price x total number of shares. It's the total value of the company as judged by the stock market.

Mega-cap: Over $200B (Apple, Microsoft, Google). Very stable, slow-moving.
Large-cap: $10B - $200B. Well-established companies.
Mid-cap: $2B - $10B. Growing companies, more volatile.
Small-cap: $300M - $2B. Smaller, riskier, but potentially bigger returns.
Micro-cap: Under $300M. Very risky, low liquidity.

A $50 stock isn't 'cheaper' than a $500 stock -- what matters is the market cap. A $50 stock with 10 billion shares = $500B company (huge).

Dividend yield is the annual dividend payment divided by the stock price, shown as a percentage. If a stock pays $4/year in dividends and costs $100, the yield is 4%.

Think of it like the interest rate on a savings account, but for stocks. You get paid just for holding the stock.

Yield below 2%: Low -- company is reinvesting profits into growth (tech stocks)
Yield 2-4%: Moderate -- solid income stocks (utilities, consumer staples)
Yield 4-6%: High -- attractive income but check if it's sustainable
Yield above 8%: Warning -- might be too good to be true. The stock price may have dropped, making the yield look artificially high.

A stop loss is an automatic sell order that triggers when the price drops to a level you set. It limits how much you can lose on a trade.

Example: You buy a stock at $100 and set a stop loss at $95. If the stock drops to $95, it automatically sells. Your max loss is 5%.

Without a stop loss, a stock could drop 50% or more while you hope it recovers. The #1 rule of trading: always know your exit BEFORE you enter.

Tip: Don't set stops too tight (you'll get stopped out by normal wiggling) or too loose (defeats the purpose). A common approach is 1-2x the ATR below entry.

Risk-to-reward (R:R) compares how much you could lose versus how much you could gain.

Example: You buy at $100, stop loss at $95 (risk $5), target at $115 (reward $15). That's a 1:3 risk-to-reward ratio -- you're risking $1 to make $3.

Why it matters: With a 1:3 ratio, you only need to win 1 out of 4 trades to break even. With a 1:1 ratio, you need to win more than half your trades.

Most professional traders aim for at least 1:2 R:R. A great setup with poor R:R is still a bad trade.

Short selling means betting that a stock will go DOWN. You borrow shares, sell them now, and buy them back later (hopefully cheaper).

Example: You short a stock at $100. It drops to $80. You buy it back at $80, return the borrowed shares, and keep the $20 profit.

The danger: If the stock goes UP instead, your losses are unlimited. A stock can only drop to $0 (max 100% gain for shorts) but can rise to infinity (unlimited loss for shorts). That's why short selling is riskier than buying.

Market Order: Buy/sell immediately at the current price. Fast but you might get a slightly different price than expected.

Limit Order: Buy/sell only at your specified price or better. You control the price, but the order might not fill if the price never reaches your level.

Stop Order: Becomes a market order when the price hits your trigger level. Used for stop-losses.

Stop-Limit Order: Like a stop order, but becomes a limit order instead of market. Safer price, but might not fill in a fast-moving market.

For most people: Use limit orders to buy, stop orders to protect.

Margin trading means borrowing money from your broker to buy more stocks than you can afford. If you have $5,000, margin lets you buy $10,000 worth of stocks.

The good: If the stock goes up 10%, you make $1,000 instead of $500 (double the profit).
The bad: If it drops 10%, you lose $1,000 instead of $500 (double the loss).
The ugly: If it drops too much, you get a 'margin call' -- the broker forces you to add more money or sells your stocks at a loss.

Margin is like a magnifying glass -- it makes wins bigger AND losses bigger. Most beginners should avoid it until they have a solid track record.

An ETF (Exchange-Traded Fund) is a basket of stocks you can buy as one thing. Instead of buying Apple, Google, and Microsoft separately, you buy one ETF that holds all three (like SPY, which holds the entire S&P 500).

Why they're popular:
Instant diversification -- one purchase spreads your risk across many stocks
Low cost -- fees are usually 0.03%-0.20% per year
Easy to trade -- they trade like stocks throughout the day

Common ETFs: SPY (S&P 500), QQQ (Nasdaq 100), IWM (small caps), VTI (total US market), GLD (gold).

IPO (Initial Public Offering) is when a private company sells shares to the public for the first time. It's like a restaurant opening its doors to the public after years of being invite-only.

How it works: The company picks an investment bank, sets a price range, goes on a 'roadshow' to convince big investors, then picks a final price.

Day 1 'pop': IPOs often jump 10-50% on the first day because demand is high and supply is limited. But that doesn't mean they're always good investments -- many IPOs drop below their opening price within 6 months.

Rule of thumb: Don't chase IPO hype. Wait for the company to prove itself with 2-3 earnings reports before buying.

A stock split divides each share into multiple shares at a lower price. In a 4-for-1 split, one $400 share becomes four $100 shares.

Your total value stays exactly the same: 1 share x $400 = 4 shares x $100 = $400.

Why companies split: To make shares more affordable for small investors. A $3,000 stock scares some people away. After a 20-for-1 split, it's $150.

Reverse split: The opposite -- combine shares to raise the price. This is usually a bad sign. Companies do reverse splits when their stock price is so low they might get delisted.

Dollar Cost Averaging (DCA) means investing a fixed amount on a regular schedule, regardless of the price. For example, investing $500 every month into an index fund.

When prices are high, your $500 buys fewer shares.
When prices are low, your $500 buys more shares.
Over time, this averages out your cost.

Example: You invest $500/month for 3 months at prices $50, $40, $50.
You buy: 10 + 12.5 + 10 = 32.5 shares for $1,500. Average cost = $46.15.
If you had invested all $1,500 at $50, you'd only have 30 shares.

DCA removes the stress of trying to time the market perfectly.

After-hours trading happens outside the regular market hours (9:30 AM - 4:00 PM ET). Pre-market is 4:00 - 9:30 AM, after-hours is 4:00 - 8:00 PM.

Why it exists: Big news (earnings, Fed decisions) often comes after the market closes. After-hours trading lets people react immediately.

Risks:
Lower volume -- fewer buyers and sellers, so prices can swing wildly
Wider spreads -- the gap between buy and sell price is bigger (costs you more)
Limit orders only -- most brokers don't allow market orders after hours

Tip: Unless you're reacting to major news, it's usually better to wait for the regular session when there's more liquidity.

Market makers are firms that always offer to buy and sell a stock. They provide liquidity -- making sure there's always someone to trade with.

How they profit: They buy at the 'bid' price and sell at the 'ask' price. If the bid is $99.95 and the ask is $100.05, they make $0.10 per share. That spread, multiplied by millions of shares, adds up.

Why they matter: Without market makers, you might place an order and wait minutes or hours for someone to trade with you. They keep the market running smoothly.

Example: Citadel Securities and Virtu Financial are the biggest market makers. They handle over 40% of all US stock trades.

Correction: A 10-20% drop from a recent high. Normal and healthy -- happens about once a year on average. Think of it like a sale at your favorite store.

Crash: A sudden drop of 20%+ in days or weeks. Rare and scary. Examples: 2008 financial crisis (-57%), COVID March 2020 (-34%), Dot-com bust 2000-2002 (-49%).

Bear market: A sustained decline of 20%+ that lasts months. Slower than a crash but can be just as painful.

Key insight: Corrections feel terrible in the moment but are almost always buying opportunities when you look back a year later. Crashes are too -- but they take longer to recover from (1-3 years typically).

A bond is a loan you give to a company or government. They pay you interest (the 'coupon') and return your money at the end (the 'maturity date').

Example: You buy a $1,000 bond with a 5% coupon and 10-year maturity. You get $50/year in interest for 10 years, then get your $1,000 back.

Bond prices and interest rates move OPPOSITE: When rates go up, existing bond prices drop (because new bonds pay more, making old ones less attractive).

Risk levels: Government bonds (safest) > Corporate investment-grade > Corporate high-yield/'junk bonds' (riskiest, highest interest).

Bonds are the 'boring' part of a portfolio -- they don't grow fast, but they cushion the blow when stocks crash.

Inflation means prices are going up -- your dollar buys less over time. If inflation is 5%, something that cost $100 last year costs $105 now.

How it affects stocks:
Moderate inflation (2-3%): Generally fine. Companies raise prices, profits grow.
High inflation (5%+): Bad for stocks. The Fed raises interest rates to slow it down, which makes borrowing expensive and slows the economy.
Deflation (negative): Also bad. Means people are spending less, economy is shrinking.

Winners during inflation: Energy, commodities, real estate, banks.
Losers during inflation: Growth/tech stocks (their future profits are worth less), bonds.

The Fed's target: 2% inflation. When it's above that, expect rate hikes.

A hedge fund is a private investment fund for wealthy investors (usually $1M+ minimum). They use advanced strategies that regular mutual funds can't: short selling, leverage, derivatives, and complex algorithms.

The name 'hedge' comes from hedging -- reducing risk by betting in both directions. But many modern hedge funds take big bets, not hedged positions.

Fee structure: '2 and 20' -- 2% annual management fee + 20% of profits. If they manage $1B and make 10% ($100M), they keep $20M + $20M = $40M.

Fun fact: Most hedge funds underperform the S&P 500 index over time. Warren Buffett famously won a 10-year bet that a simple index fund would beat a basket of hedge funds.

These are the two main investing philosophies -- like offense vs defense.

Growth Investing: Buy companies growing fast (revenue 20%+ per year). They're usually expensive (high P/E) because you're paying for future potential. Examples: NVDA, AMZN in their early days. Risk: if growth slows, the stock can drop 50%+ because the premium evaporates.

Value Investing: Buy companies trading below their intrinsic worth. They look cheap (low P/E, low P/B) because the market is underpricing them. Examples: Berkshire Hathaway, banks during panic selloffs. Risk: sometimes stocks are cheap for a reason ('value traps').

Key Metrics:
Growth: Revenue growth rate, PEG ratio (P/E divided by growth rate)
Value: P/E, P/B, dividend yield, free cash flow yield

Which is better? They take turns. Growth wins in bull markets and low-rate environments. Value wins during high inflation and recessions. Many great investors blend both -- buy growing companies at reasonable prices (GARP).

A SPAC (Special Purpose Acquisition Company) is a 'blank check company' that raises money through an IPO with one goal: find a private company to merge with and take it public.

How it works:
1. Sponsors create a shell company and IPO at $10/share
2. Money sits in a trust (usually 18-24 months to find a target)
3. They announce a merger with a private company
4. Shareholders vote -- if approved, the private company becomes public
5. If no deal is found, investors get their $10 back

Why companies use SPACs: Faster than a traditional IPO (3-4 months vs 6-12), can share forward projections (not allowed in regular IPOs), and less SEC scrutiny.

Risks: Most SPACs underperform after merger. The sponsors get 20% of shares for free (the 'promote'), diluting regular investors. Many SPACs from the 2020-2021 boom are now trading 50-80% below their $10 IPO price.

Dividend investing means buying stocks that pay you regular cash just for owning them. It's like getting rent from your stocks.

Key Metrics:
Dividend Yield: Annual dividend / stock price. A $100 stock paying $3/year = 3% yield.
Payout Ratio: % of earnings paid as dividends. Under 60% is sustainable.
Dividend Growth: How fast the dividend is increasing each year.
Ex-Dividend Date: You must own the stock BEFORE this date to get the next payment.

Dividend Aristocrats: S&P 500 companies that have raised their dividend for 25+ consecutive years (JNJ, KO, PG, MMM). They're considered the gold standard.

Strategy tips:
- Don't chase the highest yields -- yields above 8% often signal a company in trouble
- Look for growing dividends, not just high current yields
- Reinvest dividends (DRIP) for compound growth
- Diversify across sectors -- don't put all your dividends in utilities

The math of compounding: $10,000 invested in dividend stocks yielding 3% with 7% annual growth becomes ~$76,000 in 20 years if dividends are reinvested.

DCF estimates what a company is worth based on the cash it will generate in the future, discounted back to today's value.

The formula: Value = sum of (Future Cash Flow / (1 + discount rate)^year)

Key inputs:
Free Cash Flow (FCF): Cash left after all expenses and reinvestment
Growth Rate: How fast FCF will grow (typically 5-15% for growth companies)
Discount Rate (WACC): Usually 8-12%, reflects risk -- higher for riskier companies
Terminal Value: Value of all cash flows beyond your projection period (often 60-70% of total value)

Strengths: Theoretically correct -- a stock IS worth its future cash flows.
Weaknesses: Extremely sensitive to assumptions. Changing the growth rate by 1% can swing the value by 20-30%. Garbage in, garbage out.

Pro tip: Run DCF with 3 scenarios (bull, base, bear). If the stock is cheap in all three, that's a high-conviction idea. If it's only cheap in the bull case, the market is probably right.

EV/EBITDA compares what you'd pay to buy the whole company (including debt) to its operating earnings.

Enterprise Value (EV) = Market Cap + Debt - Cash
EBITDA = Earnings Before Interest, Taxes, Depreciation, and Amortization

Why it's better than P/E:
- Capital-structure neutral: works for comparing companies with different debt levels
- Ignores tax differences across countries
- Closer to actual cash generation than net income

Typical ranges:
Tech/SaaS: 15-30x (high growth, low capex)
Industrials: 8-14x
Utilities/REITs: 10-16x
Banks: Not useful (use Price/Book instead)

Below 10x in most sectors = potentially undervalued. Above 20x = market expects significant growth. Compare to sector peers, not across sectors.

PEG adjusts the P/E ratio for growth: PEG = P/E / EPS Growth Rate.

A stock with P/E of 30 and 30% growth has PEG = 1.0 (fairly valued for its growth).
A stock with P/E of 30 and 15% growth has PEG = 2.0 (expensive for its growth).

Rules of thumb:
PEG < 1.0: Potentially undervalued relative to growth
PEG = 1.0-1.5: Fairly valued
PEG > 2.0: Expensive even accounting for growth

Limitations:
- Uses estimated future growth (which may be wrong)
- Doesn't work for companies with negative earnings
- Doesn't account for risk differences

Best used for comparing growth stocks to each other, not for comparing a growth stock to a value stock.

P/B = Stock Price / Book Value per Share. Book value = total assets minus total liabilities.

P/B < 1.0: Stock trades below the value of its assets on paper -- either a bargain or the market thinks assets are impaired.
P/B = 1.0-3.0: Typical for most companies.
P/B > 5.0: Market values intangibles (brand, IP, network effects) far above physical assets.

Most useful for:
Banks and financials (assets are mostly loans and securities with clear book values)
REITs (property values vs stock price)
Industrial companies with significant physical assets

Less useful for tech companies where value comes from intangibles, IP, and human capital that don't appear on the balance sheet.

FCF = Operating Cash Flow - Capital Expenditures. It's the cash left after a company runs its business and maintains its assets.

Why it matters more than earnings:
- Earnings can be manipulated with accounting tricks
- FCF is actual cash -- you can't fake cash in the bank
- Dividends, buybacks, and debt repayment come from FCF, not earnings

Key metrics:
FCF Yield = FCF / Market Cap. Above 5% = attractive. Above 8% = very cheap.
FCF Margin = FCF / Revenue. Shows how efficiently the company converts revenue to cash.
FCF Conversion = FCF / Net Income. Above 100% = earnings quality is high.

Red flag: A company with growing earnings but declining FCF may be using accounting tricks to inflate reported profits.

D/E = Total Debt / Shareholders' Equity. Shows how much the company is funded by debt vs equity.

Typical ranges by sector:
Tech: 0-0.5x (low capital needs)
Industrials: 0.5-1.5x
Utilities: 1.0-2.0x (regulated, stable cash flows support debt)
Banks: 5-15x (inherently leveraged -- not comparable to other sectors)

Warning signs:
D/E > 2.0 (non-financial): Company is highly leveraged
Rapidly rising D/E: Taking on debt faster than growing equity
High D/E + declining revenue: Dangerous combination

Important: High D/E isn't always bad. A company with stable cash flows (like utilities) can safely carry more debt. A cyclical company (like an airline) with high D/E is much riskier.

Also check: Interest Coverage Ratio = EBIT / Interest Expense. Below 2x = struggling to pay interest.

The Greeks measure how an option's price changes with different market conditions.

Delta (direction): How much the option price moves per $1 move in the stock.
Call delta: 0 to +1.0. ATM call ≈ 0.50 (moves 50 cents per $1 stock move)
Put delta: -1.0 to 0. ATM put ≈ -0.50
Delta also approximates probability of expiring ITM

Gamma (acceleration): How fast delta changes. Highest for ATM options near expiration.
High gamma = delta changes rapidly = position needs frequent adjustment
Gamma risk is why selling options near expiration is dangerous

Theta (time decay): How much value the option loses per day.
All options lose value over time (theta is always negative for buyers)
Theta accelerates near expiration -- options lose most value in final 30 days
Option sellers profit from theta; buyers fight against it

Vega (volatility): How much the option price changes per 1% change in implied volatility.
High vega = sensitive to IV changes
Buy options when IV is low (cheap), sell when IV is high (expensive)
Earnings announcements cause IV crush -- IV drops after the event regardless of direction

Covered Call: Own 100 shares + sell a call. Income strategy -- collect premium but cap upside.
Best when: You own a stock going sideways. Generates 1-3% monthly income.

Protective Put: Own shares + buy a put. Insurance against a crash.
Best when: You want to hold but are worried about a short-term drop.

Bull Call Spread: Buy a call + sell a higher call. Reduces cost but caps profit.
Best when: Moderately bullish. Cheaper than buying a call outright.

Iron Condor: Sell a put spread + sell a call spread. Profit if stock stays in range.
Best when: Low volatility expected. Max profit = total premium collected.

Straddle: Buy a call + buy a put at same strike. Profit from big move either direction.
Best when: Big event coming (earnings) but direction is uncertain.

Strangle: Buy OTM call + buy OTM put. Cheaper than straddle but needs bigger move.

Key principle: Every options strategy is a tradeoff between risk, reward, probability, and cost. There is no free lunch.

Implied Volatility (IV) is the market's forecast of how much a stock will move. Higher IV = more expected movement = more expensive options.

IV Rank: Where current IV sits relative to its 1-year range (0-100).
IV Rank < 20: Options are cheap -- favor buying strategies
IV Rank > 80: Options are expensive -- favor selling strategies

The Volatility Surface: IV varies by strike price and expiration date.
Volatility Smile: OTM puts often have higher IV than ATM (crash protection demand)
Term Structure: Longer-dated options usually have different IV than short-dated
Earnings Effect: Options expiring after earnings have higher IV than those expiring before

IV Crush: After earnings or major events, IV drops sharply. An option can lose 20-30% of its value overnight even if the stock moves in your direction, because the volatility premium evaporates.

This is why selling options before earnings (iron condors, strangles) is popular -- you collect the inflated premium and profit from the IV crush.

The yield curve plots interest rates (yields) for government bonds across different maturities (1 month to 30 years).

Normal Curve (upward sloping): Long-term rates > short-term. Economy is healthy. Investors demand more compensation for locking money up longer.

Inverted Curve (downward sloping): Short-term rates > long-term. Historically precedes recessions by 6-18 months. The 2-year vs 10-year spread is the most watched.

Flat Curve: Short and long rates similar. Economy transitioning, uncertainty high.

Why it matters for stocks:
- Inverted curve = banks struggle (borrow short, lend long) = credit tightens
- Rising long-term yields = growth stocks suffer (future earnings worth less today)
- Falling yields = flight to safety, recession fears

Key spreads to watch:
2Y-10Y: Most famous recession predictor
3M-10Y: Federal Reserve's preferred measure
TED Spread (T-bill vs LIBOR): Banking system stress

The Fed controls the federal funds rate -- the interest rate banks charge each other overnight. This rate ripples through the entire economy.

Fed Raises Rates (hawkish):
- Borrowing becomes expensive, slows economy
- Bad for growth stocks (future earnings discounted more heavily)
- Good for banks (higher net interest margins)
- Dollar strengthens, hurting international earnings

Fed Cuts Rates (dovish):
- Cheap money flows into stocks and risk assets
- Good for growth stocks, REITs, utilities
- Dollar weakens, helping exporters

Quantitative Tightening (QT): Fed sells bonds from its balance sheet, draining liquidity.
Quantitative Easing (QE): Fed buys bonds, injecting liquidity. 'Don't fight the Fed.'

Key tools:
Dot Plot: Fed members' rate projections -- shows where rates are heading
FOMC Statement: Language changes ('patient' vs 'expeditious') move markets
Jackson Hole: Annual speech where Fed signals major policy shifts

These are the economic data releases that move markets:

Monthly:
Non-Farm Payrolls (NFP): Jobs added. Above 200K = strong economy. Released first Friday.
CPI (Consumer Price Index): Inflation gauge. Rising CPI = Fed may raise rates.
PMI (Purchasing Managers Index): Above 50 = expansion, below 50 = contraction. Leading indicator.
Retail Sales: Consumer spending health. 70% of US GDP is consumption.

Weekly:
Initial Jobless Claims: Below 250K = healthy labor market. Sharp rises = trouble.
Fed Balance Sheet: Shows QE/QT pace. More liquidity = bullish for stocks.

Quarterly:
GDP Growth: Positive = growing economy. Two negative quarters = recession.
Earnings Season: ~75% of S&P 500 reports within 5 weeks. Sets market direction.

Pro tip: Markets react to SURPRISES, not absolute numbers. A 200K jobs report is bearish if the market expected 300K, and bullish if it expected 150K. Watch consensus estimates.

Credit spread = yield on corporate bonds minus yield on government bonds of the same maturity.

Why it matters:
- Widening spreads = market fears defaults = risk-off = bad for stocks
- Tightening spreads = confidence = risk-on = good for stocks
- Credit markets often signal trouble BEFORE equity markets

Key spreads:
Investment Grade (IG): BBB-rated bonds vs Treasuries. Normal: 100-150 bps. Stress: 200+
High Yield (HY): Junk bonds vs Treasuries. Normal: 300-500 bps. Crisis: 800+
ICE BofA HY Index: Most-watched high yield spread

The famous signal: When high-yield spreads start widening while stocks are still near highs, the bond market is telling you trouble is coming. Bond traders are generally smarter/faster than equity traders at pricing systemic risk.

Our Geopolitical Risk Agent monitors credit spreads via FRED data.

The Kelly formula tells you the mathematically optimal percentage of your capital to risk on a trade: Kelly % = (Win% x Avg Win - Loss% x Avg Loss) / Avg Win

Example: If you win 60% of trades with average win $2 and average loss $1:
Kelly % = (0.60 x 2 - 0.40 x 1) / 2 = 0.40 = 40%

In practice: NEVER use full Kelly. It assumes perfect knowledge of probabilities.
Half Kelly (20% in our example) is standard for professional traders
Quarter Kelly for uncertain edges

Why it matters:
- Overbetting (above Kelly) has NEGATIVE expected growth, even with a positive edge
- The Kelly fraction maximizes long-term compounding
- Underbetting is safe but slow; overbetting is fast but eventually catastrophic

Most hedge funds limit individual position sizes to 2-5% of capital, which is typically well below full Kelly, providing a margin of safety.

Correlation measures how assets move together (-1 to +1). In normal markets, correlations are low and diversification works. In crises, correlations spike toward 1.0 and everything drops together.

Key concepts:
Correlation ≈ 0: Assets move independently (good for diversification)
Correlation > 0.7: Assets move together (false diversification)
Correlation < -0.3: Assets move opposite (real hedge)

The danger: A portfolio of 20 stocks with 0.7+ correlation behaves like 3-4 stocks in a crash.

Common traps:
- Tech stocks all correlate with each other (FAANG risk)
- 'Diversified' portfolios that are all long equity beta
- Correlations change over time -- measure rolling 60-day, not just static

True diversification: Stocks + bonds + commodities + alternatives (e.g., managed futures). Or within equities: different sectors, market caps, and geographies.

Tail risk refers to the probability of extreme market moves that standard models say are nearly impossible but happen far more often than expected.

The Normal Distribution Lie:
A 5-sigma event should happen once every 14,000 years. In reality, stock markets see 5-sigma days every few years. Markets have 'fat tails.'

Famous tail events:
1987 Black Monday: -22.6% in one day (25+ sigma event)
2008 Financial Crisis: -56% peak to trough over 17 months
March 2020 COVID crash: -34% in 23 trading days

How to manage tail risk:
Position sizing: Never risk more than you can afford to lose in a tail event
Tail hedges: OTM put options (expensive but protective). ~0.5-1% of portfolio annually.
Diversification: Assets that go UP in crashes (Treasury bonds, gold, VIX calls)
Stop-losses: Mechanical exits prevent emotional holding through catastrophe

Nassim Taleb's key insight: You don't need to predict black swans. You need to survive them.

Factor investing buys stocks based on shared characteristics that have historically generated excess returns (alpha). The five most researched factors:

Value Factor: Buy cheap stocks (low P/E, P/B). Historically outperforms by 3-5% annually.
Risk: Value traps -- stocks that are cheap for a reason (declining business).

Momentum Factor: Buy recent winners, sell recent losers. Past 12-month returns predict next month.
Risk: Momentum crashes -- when trends reverse, momentum stocks drop fast.

Size Factor: Small-cap stocks outperform large-caps over long periods.
Risk: Higher volatility, less liquidity, more bankruptcies.

Quality Factor: Buy profitable companies with low debt and stable earnings.
Metrics: High ROE, low D/E, stable earnings growth, high FCF conversion.

Low-Volatility Factor: Boring stocks beat exciting ones over time (contradicts CAPM).
Risk: Underperforms in strong bull markets. Requires patience.

Most hedge funds combine 2-3 factors (e.g., Quality + Momentum). Single-factor exposure can underperform for years before reverting.

Markets are not perfectly efficient because humans are not perfectly rational. Understanding these biases gives you an edge:

Loss Aversion: Losing $100 hurts 2x more than gaining $100 feels good. Result: Investors hold losers too long (hoping to break even) and sell winners too early.

Anchoring: Fixating on an irrelevant number. 'I'll sell when it gets back to my buy price.' The stock doesn't know or care what you paid.

Herding: Following the crowd feels safe. Result: Bubbles form (everyone buys) and panics (everyone sells) even when fundamentals don't justify the move.

Recency Bias: Overweighting recent events. After a crash, investors expect more crashes. After a rally, they expect more rallies. Markets mean-revert.

Overconfidence: 80% of investors think they're above average. Most underperform the index.

Disposition Effect: Selling winners (to lock in gains) and holding losers (to avoid admitting mistakes) -- the exact opposite of what successful traders do.

How to counter: Written trading plans, mechanical stop-losses, position sizing rules, and regular performance reviews against benchmarks.

The order book shows all pending buy orders (bids) and sell orders (asks) at each price level.

Bid: Highest price buyers are willing to pay.
Ask: Lowest price sellers are willing to accept.
Spread: Ask - Bid. Tighter spread = more liquid. Wider = less liquid or more uncertainty.

Market Depth: How many shares are available at each price level.
Thick book (lots of orders at each level) = hard to move the price
Thin book = small orders can cause big price moves (slippage risk)

Reading the book:
Large bid stacking at a price = potential support (buyers defending)
Large ask stacking = potential resistance (sellers blocking)
But: Large orders can be spoofed (placed then cancelled to manipulate)

Dark Pools: Off-exchange venues where large orders execute without showing in the public order book. ~40% of US equity volume goes through dark pools. This means the visible order book only tells part of the story.

PFOF (Payment for Order Flow): Brokers like Robinhood route retail orders to market makers who may give slightly worse execution in exchange for payment to the broker.

Earnings season happens 4 times per year. Here's what hedge fund analysts focus on:

Before the Report:
EPS Estimate: Consensus analyst expectation. Beat = stock usually up. Miss = down.
Revenue Estimate: Top-line growth. Revenue misses are worse than EPS misses.
Whisper Number: Unofficial 'real' expectation, often higher than consensus.

The Report:
Revenue Growth: Is the business growing? Organic vs acquisition-driven?
Margins: Gross margin expanding (pricing power) or contracting (competition)?
Guidance: Forward-looking estimates from management. Often matters MORE than actual results.
Earnings Quality: Is EPS growth from operations or from buybacks reducing share count?

Red Flags:
Revenue miss + guided down = sell
Earnings beat only from cost cuts (no revenue growth) = low quality
Changing accounting methods or one-time items inflating numbers
Accounts receivable growing faster than revenue (stuffing channels)

The 'cockroach theory': If a company misses once, there's usually another miss coming. One miss is rarely isolated.

Different sectors outperform at different stages of the economic cycle:

Early Recovery (economy bottoming):
Winners: Consumer Discretionary, Financials, Industrials, Real Estate
Rationale: Cheap valuations, pent-up demand, rate cuts helping

Mid-Cycle (economy growing):
Winners: Technology, Industrials, Materials
Rationale: Earnings growth accelerating, capex spending rising

Late Cycle (economy peaking):
Winners: Energy, Materials, Healthcare
Rationale: Inflation rising, commodities rallying, defensive positioning starts

Recession:
Winners: Utilities, Consumer Staples, Healthcare
Rationale: People still need electricity, food, and medicine regardless of economy

How to apply:
- Monitor leading indicators (PMI, yield curve, credit spreads) to identify the current stage
- Overweight sectors about to enter their favorable stage
- Use relative strength (our relative_value.py) to confirm rotation is happening

These are the regulatory documents that reveal what insiders and institutions are doing:

Form 13F (Institutional Holdings):
Filed quarterly by funds managing $100M+. Shows their stock positions.
Delay: 45 days after quarter end. Data is stale but shows conviction.
Watch for: New positions, exits, and concentration changes.

Form 4 (Insider Transactions):
Filed within 2 business days when officers/directors buy or sell.
Insider BUYING is a strong signal -- they risk their own money.
Insider selling is weaker -- could be diversification, tax planning, etc.

Schedule 13D (Activist Position):
Filed when anyone acquires 5%+ of a company with intent to influence.
Bullish catalyst -- activists push for changes that unlock value.

10-K (Annual Report): Comprehensive business description, risks, financials.
10-Q (Quarterly Report): Abbreviated quarterly update.
8-K (Material Event): Unscheduled report for major events (CEO change, acquisition, etc.).

Our platform tracks: 13F ownership changes (ownership_history signal), insider transactions (insider signal), and congressional trades (congress_tracker signal).

Richard Wyckoff's method identifies phases where institutions accumulate or distribute stock:

Accumulation (institutions buying):
Phase A: Selling climax -- heavy volume, sharp drop, then automatic rally
Phase B: Building a cause -- price ranges sideways while institutions absorb supply
Phase C: Spring -- price briefly drops below support (shaking out weak hands)
Phase D: Markup begins -- price breaks above range on increasing volume

Distribution (institutions selling):
Opposite pattern: Price ranges at top while institutions sell to retail
Upthrust: Price briefly pokes above resistance then falls back (trap)
Sign of Weakness (SOW): Price drops on heavy volume

Key principles:
- Volume precedes price -- watch for volume anomalies
- Effort vs Result -- big volume should produce big moves. If not, something's wrong.
- The 'Composite Man' -- imagine a single entity controlling the market. What would they do?

Our stage_scanner signal module uses Weinstein Stage Analysis, which is closely related to Wyckoff.

Elliott Wave Theory says markets move in predictable wave patterns driven by investor psychology.

Impulse Waves (trend direction): 5 waves
Wave 1: Initial move, often mistaken for a bear market rally
Wave 2: Pullback, typically retraces 50-61.8% of Wave 1
Wave 3: Strongest wave -- usually the longest and never the shortest
Wave 4: Consolidation, should not overlap Wave 1
Wave 5: Final push, often on declining momentum (divergence)

Corrective Waves (counter-trend): 3 waves (A-B-C)
Zigzag (sharp), Flat (sideways), or Triangle (converging)

Practical application:
- Wave 3 is where you want to be positioned (strongest, most profitable)
- Wave 5 with RSI divergence = prepare to exit
- Fibonacci retracements align with wave theory (38.2%, 50%, 61.8%)

Criticism: Highly subjective -- different analysts count waves differently. Best used as a framework for market structure, not as a precise prediction tool.

Volume Profile shows the amount of trading volume at each price level over a period. Unlike traditional support/resistance (based on price alone), this shows where real money changed hands.

Key concepts:
Point of Control (POC): Price with the highest traded volume -- strongest magnet.
Value Area: Price range covering 70% of volume -- where most trading occurred.
High Volume Nodes (HVN): Prices with lots of activity -- act as support/resistance.
Low Volume Nodes (LVN): Prices with little activity -- price moves quickly through these.

How to use:
- Price tends to return to the POC (mean reversion)
- HVNs are strong S/R levels (more reliable than simple horizontal lines)
- LVNs are breakout zones -- if price enters, it moves fast
- Value Area acts as the 'fair price' zone

Our OrderFlow agent analyzes volume distribution and POC levels.