Advanced Lesson Pack
Here you'll find all 16 lessons of stage 5 on one page, each with its learning goal, class time, a question for discussion and the quiz answer for your preparation. The worksheet for the written plan comes with it.
Why this pack
Stage 5 is for anyone who wants to go further. It's optional, nobody has to get here. It covers portfolio theory, derivatives, backtesting and crypto topics such as DeFi. Recommended from age 16, more 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 the pack: in several 45 minute units by topic, for example portfolio and risk (no. 1 to 4), derivatives (no. 5 to 9), strategy and crypto (no. 10 to 16). It's too much for one big 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 parts.
Class time: about 5 min.
Discussion question: When does an extra investment make your portfolio calmer?
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: What makes a portfolio good is how its pieces work together. The best individual pieces alone aren't enough. 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 decisive for diversification and why it can change.
Class time: about 5 min.
Discussion question: What does the usual correlation not 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 split by 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 measure of risk?
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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 tell buying and selling an option apart, along with the rights and obligations involved.
Class time: about 5 min.
Discussion question: What does an option's price consist of?
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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 it given its costs.
Class time: about 5 min.
Discussion question: Why does permanent hedging cost return?
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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: How does a future differ 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 risk of loss in short selling is unlimited, unlike when buying.
Class time: about 5 min.
Discussion question: Why is the loss in short selling unlimited?
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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 the execution price get worse with large orders?
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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 written down precisely enough for someone else to carry it out.
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 mistakes instead of believing it blindly.
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'll recognize when a seemingly strong strategy has really just been fitted to old data.
Class time: about 5 min.
Discussion question: Why does the number of tested variants 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 judge which mistakes automated trading really solves and which it only shifts.
Class time: about 5 min.
Discussion question: What's the real benefit of a program?
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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 judge where the advertised return of a DeFi offer really comes from.
Class time: about 5 min.
Discussion question: Where does staking income mainly 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 a liquidity pool can lead to a permanent loss compared with simply holding.
Class time: about 5 min.
Discussion question: Why is the name 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 plan with goals, rules and a plan for a crisis.
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 Learn Trading path, or hands-on practice with no real money in the paper-trading simulator.