Understanding Risk/Reward and probabilities (2024)

Many new traders start off by trying to maximize their percentage of winning trades, the obvious thinking being that the more I win, the better my trading results will be. Although this is not incorrect, it is certainly not the full story. What many would-be traders don’t know is that it is quite possible to have a win percentage well above 50% and still lose money, and that there are some professionals out there who might only have a winning percentage as low as 30% yet still make money.

What traders need to be trying to maximize is their expectancy. Expectancy is a statistical concept that speaks to an expected payoff over numerous trials. The equation is:

E = (W x R) – [(1-W) X L]

Where

E = Expectancy

W= Probability of winning (win percentage)

R = Reward of a winning trade

L = Loss of a losing trade

Maximizing expectancy

For those who are not mathematically inclined do not fear, it is the conclusion that is important, more than the underlying maths.

There are two parts to the expectancy equation

  • Probability of winning or your win percentage – this is the part of the equation that most new comers focus on.
  • Risk/Reward ratio – this is the often neglected part of the equation when trying to become a profitable trader

Risk/Reward ratio is the average size of a winning trade divided by the average size of a losing trade. The graph below illustrates an individual trade where the Risk/Reward ratio is 3.21.

Understanding Risk/Reward and probabilities (1)

Obviously the higher this number the better. By maintaining a consistently large Risk/Reward ratio it is possible to have a probability of winning well below 50% and have a positive expectancy (i.e. make money in the long run).

By doing some basic arithmetic to the expectancy equation we can come to some interesting conclusions. Assuming that the long term expectancy = 0 (i.e. our trader will break even)

W X R = (1-W) x L

R / L = (1-W) / W

It is now possible to plot the risk reward relationship on a chart and the various break even points.

Understanding Risk/Reward and probabilities (2)X=Risk/Reward Ratio, Y=Percentage of winners

A trader should use this chart in the following way.

If you have a win percentage of 50%, in order for you to break even your average winner must be equal to your average loser (Risk/Reward =1). If you have calculated that your win percentage is 50% then you should always aim ensure that you will make more money if your trade is a winner than you you would lose if it were a loser. Otherwise at best you will break even.

If you have a win percentage of 30% then to break even you would need your average winner to be 2.3 times the size of your average loser. (Risk/Reward = 2.3) Therefore, if your anticipated win percentage is 30% do not take any trade unless your potential risk/reward is larger than this.

When starting out a trader should primarily be thinking about maximizing expectancy, and when deciding on your trading method consider always keeping the risk/reward ratio on your side, not just the percentage win rate.

Understanding Risk/Reward and probabilities (2024)

FAQs

What is the risk reward and probability? ›

To calculate the risk:reward ratio, you need to divide the amount you stand to lose if the price moves in an unexpected direction (the risk) with the amount of profit you expect to have made when you close your position (the reward).

How do you understand risk to reward? ›

The risk/reward ratio is measured by dividing the distance from your entry point to Stop Loss and the distance from your entry point to Take Profit levels. The relationship between these two numbers helps traders define whether the trade is worth it or now.

Is 1.5 risk reward good? ›

A commonly cited benchmark in trading is the 1.5 risk-reward ratio. This ratio suggests that for every unit of risk taken (usually measured as a percentage or dollar amount), an investor should aim for a potential reward that is one and a half times greater.

What is a good risk-reward ratio for options? ›

In many cases, market strategists find the ideal risk/reward ratio for their investments to be approximately 1:3, or three units of expected return for every one unit of additional risk. Investors can manage risk/reward more directly through the use of stop-loss orders and derivatives such as put options.

What is an example of a risk probability? ›

For example, you could use a scale of 1 to 10. Assign a score of 1 when a risk is extremely unlikely to occur, and use a score of 10 when the risk is extremely likely to occur. Estimate the impact on the project if the risk occurs.

What is a 1 to 3 risk-reward ratio? ›

Risk-Reward Ratio (1:3): For every trade you take, you are willing to risk 1 unit of your capital (e.g., $100) to potentially gain 3 units (e.g., $300) if the trade goes in your favor. Now, let's consider the win rate: 2. Win Rate: This represents the percentage of your trades that are profitable.

What is the formula for risk vs reward? ›

Risk/reward ratio = total profit target ÷ maximum risk price

If after calculating the ratio, it is below your threshold, you may wish to increase your downside target. Using a stop-loss order​​ when opening a position will close you out of your position at a certain point.

How do you balance risk and reward? ›

How can you balance risk and reward in decision-making?
  1. Assess the situation.
  2. Consider your team and stakeholders.
  3. Balance your intuition and analysis.
  4. Manage your risk appetite and tolerance.
  5. Review and learn from your decisions.
  6. Adapt and improve your decision-making skills.
  7. Here's what else to consider.
Sep 14, 2023

What is the basic relationship between risk and reward? ›

The risk-return tradeoff states the higher the risk, the higher the reward—and vice versa. Using this principle, low levels of uncertainty (risk) are associated with low potential returns and high levels of uncertainty with high potential returns.

What is a bad risk reward ratio? ›

In general, traders avoid opening trades that have 1 risk and less than 1 reward ratio. For instance, if you find a trading setup that requires you to place Stop Loss 90 pips away and Take Profit target is 30 pips away, most professional traders will not take the trade.

Is 2 a good risk reward ratio? ›

A reasonable risk-to-reward ratio is 1:2, which indicates the profit or reward is higher than the loss. The trader has assured a substantial break-even profit margin when the trading suffers any loss.

Is a higher reward to risk ratio better? ›

If your reward is very high compared to your risk, the chances of a successful outcome may decrease due to the effects of leverage. This is because leverage magnifies your exposure, and amplifies profits and losses. Therefore, risk management is critically important.

What is the best risk-reward ratio for scalping? ›

For any stock you plan to scalp, you must understand the price supports, resistances and the set-up. From there, you can calculate the share sizing and the probabilities versus the risk. In scalping, a 3:1 risk to reward ratio is common (although, lower risk/reward is always more favorable).

Is profit factor the same as risk reward? ›

A profit factor greater than 1 signifies that gains outweigh losses, highlighting the strategy's potential profitability. Traders often use this metric to assess risk and reward, aiming for strategies with higher profit factors for better performance and increased confidence in their trading decisions.

What is the best SL and target ratio? ›

Lastly, there is the condition of proportionality that you have to maintain between stop loss and your profit target. A 2% stop loss and a 2% profit target is a bad risk-return trade-off. A minimum ratio of 1:3 should be maintained when setting stop losses!

What is the risk and reward concept? ›

Understanding the complex relationship between risk and reward becomes essential. Risk signifies the possibility of losing part or all of one's investment, while reward tempts investors with the promise of potential gains.

What is the difference between risk and probability? ›

Probability is simply a measure of how likely an event is to occur, expressed as a percentage between 0% (impossible) to 100% (guaranteed). It does not guarantee an outcome but quantifies the likelihood. Risk refers to the possibility of an undesirable outcome and is often evaluated using probability data.

What is risk impact and probability? ›

Effective risk management requires assessment of inherently uncertain events and circ*mstances, typically addressing two dimensions: how likely the uncertainty is to occur (probability), and what the effect would be if it happened (impact).

How do you calculate risk and probability? ›

For example, you can use the formula P(E) = N(E) / N, where P(E) is the probability of an event, N(E) is the number of times the event has occurred in the past, and N is the total number of trials, to calculate the probability of a risk based on past experience.

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