A terminal price range shows where simulated price paths finish at the end of a selected time horizon.
Instead of giving one price forecast, it presents a range of possible outcomes.
That matters because one Expected Price can look more precise than the underlying simulation really is.
The terminal range helps answer:
How wide is the uncertainty around the expected outcome?
Inside TradingSimuLab’s Risk Simulation, a wider terminal range generally means greater uncertainty, while a tighter range means simulated outcomes are more concentrated.
Educational disclaimer: TradingSimuLab is an educational research platform. Simulation ranges are model-based estimates, not financial advice, guaranteed price targets, floors, ceilings, or future returns.
What Is a Terminal Price Range?
Monte Carlo simulation generates many possible future price paths.
At the end of the simulation horizon, every path has a final—or terminal—price.
Those final prices form a distribution.
Instead of displaying thousands of individual values, Risk Simulation can summarize them with percentile levels such as:
- a lower percentile;
- Expected Price;
- current price;
- an upper percentile.
This gives users an easier way to see the range of simulated outcomes.
Why Percentile Bands Matter
Percentiles summarize different parts of the simulated distribution.
For example, if a simulation uses a 5th-to-95th percentile range:
5th percentile: only 5% of simulated terminal prices finished below this value.
95th percentile: only 5% finished above this value.
The space between them contains the central 90% of simulated terminal outcomes.
This is useful because it removes some of the most extreme paths while still showing substantial downside and upside uncertainty.
But it is not a guaranteed boundary.
Real markets—and even modeled outcomes outside those percentiles—can move beyond the band.
Terminal Range vs Expected Price
Expected Price gives one central reference.
Terminal Price Range shows the uncertainty around it.
Suppose:
Expected Price: $120
Lower percentile: $80
Upper percentile: $160
Looking only at $120 could make the simulation seem precise.
The full range tells a different story:
the model produced a very wide set of terminal outcomes.
That is much more useful for understanding risk.
What Does a Wide Terminal Range Mean?
A wide range means simulated outcomes are highly dispersed.
This can reflect:
- higher volatility;
- unstable market conditions;
- greater path uncertainty;
- or an asset that naturally experiences larger price swings.
A wide range is not automatically bad.
It can contain substantial upside.
But it also means the Expected Price should be interpreted with less precision.
The wider the band, the more important it becomes to examine downside risk separately.
What Does a Tight Terminal Range Mean?
A tighter range means simulated terminal prices are more concentrated.
For example:
Simulation A
Expected Price: $110
Range: $103–$118
Simulation B
Expected Price: $110
Range: $72–$155
Both have the same central expected price.
But Simulation B contains dramatically more uncertainty.
The terminal range exposes that difference immediately.
Wide Range Does Not Automatically Mean Poor Risk
A wide range needs context.
Suppose:
Terminal Range: Wide
Expected Return: Strong
Probability of Gain: High
Drawdown: Moderate
The wider uncertainty may still be paired with a relatively balanced overall risk profile.
Now suppose:
Terminal Range: Wide
Probability of Gain: Weak
CVaR: Severe
Worst Max Drawdown: Extreme
The same wide range now sits inside a much more defensive risk picture.
Range width should therefore be read with the other Risk Simulation metrics.
Terminal Range vs VaR and CVaR
These metrics describe different parts of risk.
| Metric | What it shows |
|---|---|
| Terminal Price Range | Dispersion of final simulated prices |
| VaR | Severe downside threshold |
| CVaR | Severity of losses beyond that threshold |
| Max Drawdown | Peak-to-trough stress along simulated paths |
Terminal range focuses on where paths finish.
Drawdown focuses on what happens along the way.
VaR and CVaR focus on downside and tail severity.
That is why none should replace the others.
A Positive Ending Can Still Hide a Difficult Path
Suppose one simulated path moves:
$100 → $125 → $75 → $90 → $115
Its terminal price is $115.
That looks positive.
But the path experienced a severe drawdown before finishing there.
Terminal ranges do not capture every part of the journey.
They should therefore always be read beside drawdown metrics.
How to Read Terminal Price Range
A simple workflow is:
1. Check Expected Price
Where is the center of the simulation?
2. Look at the Lower and Upper Percentiles
How wide is the range around that central estimate?
3. Compare With Current Price
Does the distribution contain substantial upside, downside, or both?
4. Check Probability of Gain
How often did simulated paths finish positively?
5. Review VaR, CVaR and Drawdown
How severe does the downside become?
The terminal range is the distribution layer. The other metrics explain the probability and severity behind it.
Common Mistakes
Treating the Range as a Forecast Boundary
Prices outside the percentile band are still possible.
Treating the Upper Percentile as a Price Target
It is a simulated scenario reference, not a prediction.
Ignoring Range Width
The same Expected Price can carry very different levels of uncertainty.
Ignoring Drawdown
Final prices do not reveal how stressful the path became before reaching them.
Frequently Asked Questions
What is a terminal price?
It is the final price reached by a simulated path at the end of the selected horizon.
What is a terminal price range?
It is a band summarizing where a large portion of simulated terminal prices finished.
What does a wide price range mean?
It indicates greater dispersion and uncertainty across simulated outcomes.
What does a narrow price range mean?
It indicates that simulated terminal outcomes are more concentrated.
Is the 5th percentile a worst-case price?
No. Outcomes below the 5th percentile can still occur.
Is the 95th percentile a price target?
No. It is an upper simulated percentile, not a guaranteed target.
Final Takeaway
Terminal Price Range makes one important fact visible:
an expected price is only one point inside a distribution of possible outcomes.
A tight range suggests more concentrated simulated outcomes.
A wide range signals greater uncertainty.
The best interpretation is therefore:
Expected Price → Terminal Range → Probability of Gain → VaR/CVaR → Drawdown
Use the terminal range to understand how much uncertainty surrounds the central simulation result—not as a prediction of where price must stay.