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Advanced Lesson Pack

All 16 lessons of Stage 4 in one place: learning objective, class time, discussion question, and quiz answer key for prep, bundled with the matching trading plan worksheet.

16 lessons · several 45-min sessions Last checked: 2026-09-11

Why this pack

Stage 4 (Advanced) is for anyone who wants to go further — optional, nobody has to come here. It covers portfolio theory, derivatives, backtesting, and crypto topics like DeFi. Recommended age: 16+ (details on the For teachers page).

Matching worksheet: Written trading plan (fillable PDF) — the last lesson of this stage (#16) leads directly into it.

How to use this pack: across several 45-minute sessions by topic block (e.g. portfolio and risk #1-4, derivatives #5-9, strategy and crypto #10-16) rather than as one large session.

The 16 lessons

1. What is portfolio theory, and what does it deliver in practice?

Learning objective: After this lesson, you can explain why a good portfolio is more than the sum of its best individual parts.

Class time: about 5 min.

Discussion question: When does adding a holding lower portfolio volatility?

Show quiz answer key (for prep)

Situation: You build your portfolio from only the ten stocks with the highest individual return over the last few years.

Correct answer: A portfolio is not made good by its best individual pieces, but by how they interact. Why: What matters is the return achieved per unit of risk taken, not the best individual return.

2. What does correlation mean for investments?

Learning objective: After this lesson, you can explain why correlation is critical for diversification, yet not stable over time.

Class time: about 5 min.

Discussion question: What does the correlation coefficient fail to capture?

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Situation: You assume that two assets that moved in opposite directions in the past will always keep doing so.

Correct answer: Correlation is unfortunately not stable and can change significantly over time. Why: Correlation measures how closely two assets move together, and it is the key figure for diversification — just not a stable one.

3. What is rebalancing, and how often should I do it?

Learning objective: After this lesson, you can bring a portfolio back to its original allocation through rebalancing.

Class time: about 5 min.

Discussion question: What happens without rebalancing?

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Situation: After a strong rally in one position, you think rebalancing should now add even more to that position.

Correct answer: Rebalancing tends to sell what has risen and buy what has fallen, to restore the original allocation. Why: It serves risk control, not return-boosting — the original weighting gets deliberately restored.

4. What is volatility, and is it the same as risk?

Learning objective: After this lesson, you can explain what volatility measures and why it's an incomplete measure of risk.

Class time: about 5 min.

Discussion question: Why is volatility an incomplete risk measure?

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Situation: An investor says high volatility automatically means high downside risk, because it only measures downward moves.

Correct answer: Volatility treats upward and downward moves the same, which is exactly its weakness as a risk measure. Why: It measures the overall spread of returns and is therefore a useful but incomplete risk measure.

5. What are call and put options, explained simply?

Learning objective: After this lesson, you can distinguish buying from selling an option and the rights and obligations each side takes on.

Class time: about 5 min.

Discussion question: What makes up an option's price?

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Situation: You sell an option and assume you are not taking on any extra risk by doing so.

Correct answer: Selling an option means taking on an obligation — unlike the buyer, who only pays a premium. Why: An option is the right to buy or sell something at a set price — the buyer pays a premium for that right, the seller carries the obligation.

6. How do I hedge a portfolio with options?

Learning objective: After this lesson, you can judge when hedging with options is worth its cost.

Class time: about 5 min.

Discussion question: Why does permanent hedging reduce returns?

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Situation: You want to hedge a position with an option without knowing what it costs.

Correct answer: Hedging is like insurance with a premium and only pays off if you know that cost. Why: It lowers expected return in exchange for limiting losses — whether that trade-off is worth it depends on knowing the cost.

7. What is a future, and what is it used for?

Learning objective: After this lesson, you can explain how a future differs from an option.

Class time: about 5 min.

Discussion question: What distinguishes a future from an option?

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Situation: You compare a future to an option and assume only one side carries an obligation in both cases.

Correct answer: Unlike an option, a future carries an obligation on both sides. Why: A future is a binding agreement to buy or sell at a later date — binding for both parties.

8. How does short selling work, and why is it so risky?

Learning objective: After this lesson, you can explain why the loss potential in short selling, unlike buying, is unlimited.

Class time: about 5 min.

Discussion question: Why is the loss unlimited in a short sale?

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Situation: You assume that with a short sale, your maximum loss is limited the same way it is with a normal stock purchase.

Correct answer: With a short sale, the potential gain is limited, but the potential loss is not. Why: You borrow securities, sell them, and buy them back later — if the price rises without limit, the loss grows without limit too.

9. How does a price form in the order book, and what do high-frequency traders do?

Learning objective: After this lesson, you can explain why the displayed price and your actual execution price can differ.

Class time: about 5 min.

Discussion question: Why does execution price worsen with order size?

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Situation: You wonder why your actual execution price differs from the price that was displayed before you traded.

Correct answer: Market microstructure explains exactly that — how individual orders turn into a price, and why the display and the fill can differ. Why: It describes how the order book and supply/demand produce the actual traded price.

10. How do I write down a trading strategy?

Learning objective: After this lesson, you can judge whether a strategy is precise enough for someone else to execute it.

Class time: about 5 min.

Discussion question: When is a strategy fully defined?

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Situation: You have a rough idea in your head of when you want to buy and sell, but have not written any of it down.

Correct answer: A strategy only becomes one once a stranger could execute it without asking questions — a rough idea is not enough. Why: Anything less is a collection of intentions, not an executable strategy.

11. How do I test a strategy against historical data?

Learning objective: After this lesson, you can check a backtest result for typical sources of error instead of accepting it at face value.

Class time: about 5 min.

Discussion question: What is survivorship bias in a backtest?

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Situation: A backtest shows impressive historical results, and you automatically assume the strategy is reliable.

Correct answer: The test is only as good as the care taken to rule out typical sources of error. Why: Backtesting applies rules to past data — without carefully ruling out error sources, impressive results are worth little.

12. Why does every strategy work in hindsight?

Learning objective: After this lesson, you can recognize when a seemingly strong strategy has actually just been fitted to past data.

Class time: about 5 min.

Discussion question: Why does the number of variants tested matter so much?

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Situation: You test hundreds of variations of a strategy on the same historical data and find one that performs exceptionally well.

Correct answer: The more variants tested, the more likely you find one that only looks great in hindsight by chance. Why: Search long enough and any dataset yields patterns that are pure chance.

13. Is a trading bot worth it for retail investors?

Learning objective: After this lesson, you can assess which mistakes automated trading actually solves and which it merely shifts.

Class time: about 5 min.

Discussion question: Where does automation's real benefit lie?

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Situation: You automate a strategy that has not yet been proven viable, hoping automation itself will fix that.

Correct answer: Automation removes emotional mistakes, but does not solve the problem of having a viable strategy in the first place. Why: It replaces emotional mistakes with technical ones and helps with discipline — but it is no substitute for a tested strategy.

14. What is DeFi, and where do the high returns come from?

Learning objective: After this lesson, you can assess where a DeFi offer's advertised yield actually comes from.

Class time: about 5 min.

Discussion question: Where do staking returns mostly come from?

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Situation: A DeFi platform advertises very high yields without explaining where they come from.

Correct answer: Where the yield source cannot be named, the payouts often come from later participants' money. Why: Advertised yields ideally come from nameable sources — where they do not, caution is warranted.

15. What is impermanent loss in liquidity pools?

Learning objective: After this lesson, you can explain why providing liquidity can lead to a permanent loss compared with simply holding.

Class time: about 5 min.

Discussion question: Why is the term impermanent loss misleading?

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Situation: You provide liquidity for a trading pair and assume that once the prices converge again, any divergence loss disappears on its own.

Correct answer: The loss compared to simply holding grows with the price divergence and is not inherently temporary. Why: Anyone providing liquidity ends up holding less of whatever went up — despite the name, the loss is not guaranteed to be temporary.

16. What belongs in a written investment and trading plan?

Learning objective: After this lesson, you can write your own trading plan with goals, rules, and a crisis scenario.

Class time: about 5 min.

Discussion question: Why does a written plan work?

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Situation: You have worked through the entire course but have not yet written your own plan.

Correct answer: The real conclusion is a document — your own plan for what you do, what you avoid, and what you hold onto during bad periods. Why: Only the written document turns what you learned into something that actually holds up in difficult moments.

After this pack

This is the last stage of the course. From here: the full overview at Understanding investing, the standalone Understanding trading path, or hands-on practice with no real money in the paper-trading simulator.

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