Richard Golian

1995-born. Charles University alum. Head of Performance at Mixit. 10+ years in marketing and data.

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The Risk–Reward Principle I Did Not Explain Clearly in My Article on Cyclical Opportunities

Risk vs reward through expected value and asymmetry: if I take a certain risk, how much can I gain, and how much can I lose?
Richard Golian
Richard Golian · 1 788 reads
Hi, I am Richard. On this blog, I share thoughts, personal stories, findings and what I am working on. I hope this article brings you some value.

When I wrote a post about cyclical opportunities in the stock market, the core idea was relatively simple. In certain segments of equity and commodity markets, cycles repeatedly emerge. At specific moments, these segments reach historically low valuations from the perspective of metrics such as the PB ratio, the price-to-book ratio, meaning the relationship between stock prices and the book value of companies in the sector.

I suggested that precisely these “unpopular” segments may represent a more interesting opportunity than popular growth sectors traded at extremely high PE multiples. Only later did I realise that although I described the market situation, I did not clearly explain the mental model behind that article.

That model is based on a simple question: if I take a certain risk, how much can I gain, and how much can I lose? And is that ratio in my favour? In finance, this is called risk–reward.

This is not about whether something is risky or safe. Every investment is risky. It is about the ratio between potential gain and potential loss. It is about asymmetry.

Expected Value: A Simplified Example

Let us deliberately simplify reality.

Imagine an investment with only two possible outcomes:

There is a 60% chance of gaining +80%.
There is a 40% chance of losing −10%.

This can be expressed as:

EV = (probability of gain × size of gain) − (probability of loss × size of loss)

Plugging in the numbers:

EV = (0.6 × 80) − (0.4 × 10)
EV = 48 − 4
EV = +44%

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Disclaimer

This article is intended for informational and educational purposes only. It does not constitute financial advice, a recommendation to buy or sell any securities, or a guarantee of future market performance. The views expressed are solely those of the author, who may also be an investor. Investing in financial markets involves risk, and each reader should make their own decisions independently and, if necessary, consult with a licensed professional.

Summary

What does risk vs reward mean in investing? It comes down to a simple question: if I take a certain risk, how much can I gain, how much can I lose, and is that ratio in my favour? I show it with a simplified expected value example: with a 60% chance of gaining 80% and a 40% chance of losing 10%, the expected value is +44%. An individual decision can end in a loss, but a series of decisions with a positive expected value makes rational sense as a whole. A good average, however, is not enough: if we put too large a share of capital into a single idea, even a small negative scenario can hurt more than it should.

Common questions on this article's topic

What is the risk-reward ratio in investing?
It is a simple question: if I take a certain risk, how much can I gain, and how much can I lose? And is that ratio in my favour? It is not about whether something is risky or safe, because every investment is risky. It is about the ratio between potential gain and potential loss.
How do you calculate the risk-reward ratio?
The usual calculation divides the potential loss by the potential gain. If you risk losing 10% to potentially gain 80%, the ratio is 1:8. On its own, however, this number says little until you add the probabilities of each outcome. That is why I work with expected value.
What is expected value and how do you calculate it?
Expected value = (probability of gain × size of gain) − (probability of loss × size of loss). With a 60% chance of gaining 80% and a 40% chance of losing 10%, it comes to (0.6 × 80) − (0.4 × 10) = +44%. This does not mean a specific investment will return 44%. It means that if you repeatedly make decisions with similar asymmetry, the long-term average will move towards +44%.
Can a good investment still lose money?
Yes. An individual decision can end in a loss, and several losses can come in a row. That is natural. What matters is that a series of decisions with a positive expected value makes rational sense as a whole.
What is asymmetry in investing?
Asymmetry means that the potential gain is significantly larger than the potential loss, or the other way round. An example is a cyclical sector whose price falls to the book value of its companies. Further declines then often become less likely, while there is still room to grow when the cycle turns.
What is position sizing and why does it matter?
Position sizing is the share of your capital that you put into a single investment. A positive expected value is not enough on its own: if you put too large a share of capital into a single idea, even a relatively small negative scenario can hurt more than it should.
Is risk-reward the same as risk management?
No. Risk-reward is the basic framework for thinking: it tells you whether the ratio between risk and reward is reasonably set. Position size, capital allocation, time horizon and discipline are a further layer built on top of that foundation.
Richard Golian

If you have any thoughts, questions, or feedback, feel free to drop me a message at mail@richardgolian.com.

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