This study accurately segments the ETF's behavior into three
distinct sample horizons:
Long Term (N=1161 observations): The linear trend only
explains 45.95% of the movement (R²), but when applying the 6th-order
polynomial model, the explanatory power rises to a robust 94.02%. This
scientifically demonstrates that the Colombian market is cyclical and responds
to wave forces and mean reversion over multi-year periods.
The medium term (N=706
observations) is the period with the greatest structural consistency. The
linear R² of 90.28% and the 6th-order polynomial R² of 96.66% describe a
remarkably solid, clean upward trend phase with low deviations from its central
trajectory. In the short term (N=180 observations), the recent period shows a
clear break from linearity (R^2 "Linear"=36.30%). However, the
6th-order polynomial captures 76.36%, reflecting that the short term is defined
by high volatility, curved impulses, and nonlinear corrections.
Analyzing its financial
efficiency and risk behavior, the Sharpe ratio shows excellent risk-return
efficiency in the medium term (2.89), which tends to normalize towards the
short term (1.81).
A critical finding is observed in
the skewness coefficient. While it is positive in the long (+1.127) and medium
(+0.586) term (bias in favor of extreme positive returns), in the short term
the skewness becomes negative (-0.193). Econometrically, this validates that
the market has begun to experience downward pressure and severe corrective
impulses in the last 180 sessions.
If the probability model (Z-distribution) is applied to this
analysis, and using the reference price value proposed in the table
(X=22,668.00), it is found that in the long term, the Z-value of 2.26
determines a cumulative probability of 98.80%. This means that historically,
the current price is in the highest percentile of the distribution. There is
only one There is a 1.20% statistical probability of this level being
consistently surpassed under this sample.
In the medium term, the cumulative probability is 95.71%
(Z=1.72), confirming a zone of extreme structural overbought conditions. In the
short term, it is at 74.10% of the distribution, indicating that the price has
bounced towards the middle-to-upper portion of the bell curve in the last 180
days.
An
aggressive or cash entry at current levels is not recommended because it is at
an extreme volatility level (overbought). Buying with cumulative probabilities
(p) of 98.80% and 95.71% implies acquiring the ETF at the upper limits of the
historical and medium-term distribution bell curves. The risk of a drawdown due
to mean reversion is extremely high.
Looking at
the short term, the price line has broken down from the upper parabola of the
sixth-order polynomial model and is currently testing support levels. The
recent negative asymmetry confirms that immediate inertia is working against
it.
The 30-day
forecast of the long-term model projects a theoretical drop to 19,207.82,
reflecting the need for the price to clear its current excesses.
Given the
long-term bullish projections (where the medium- and short-term models project
levels of 28,845 and 29,616 over 360 days), the asset maintains an excellent
macroeconomic backdrop. Therefore, the most prudent and independent stance is
to wait for a technical correction towards the support zone between 19,500 and
20,500 points.
Making
staggered purchases (Dollar Cost Averaging) within this price range will
drastically optimize your portfolio's Sharpe ratio, reducing tail risk and
ensuring a superior statistical margin of safety.
When the econometric data is
combined with the fundamental indicators, the conclusion of this analysis not
only remains but becomes more restrictive:
The addition of fundamentals
demonstrates that the asset is not only in a zone of statistical exhaustion and
overbought conditions (historical percentile of 98.80%), but is currently
764
It suffers from a serious
distortion in its market microstructure (a bid/ask spread divorced from the
actual NAV and extreme volatility in the opening price). Entering at this
precise moment is equivalent to buying at a time of price opacity, where the risk
of paying a hidden premium (slipage) or being trapped in a poorly executed
order is critical. It is reiterated that it is necessary to wait for volume to
normalize towards its 3-month average, for market peaks to align with the
actual NAV (22,552.34), and for the technical correction to occur towards the
mathematical support zone (19,500 - 20,500 COP) before committing institutional
or personal capital. If you would like to learn more about the mathematical
models applied, please contact fs1950@gmail.com

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