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Updated: Nov 1, 2025

An R-Based Landscape Validation of a Competing Risk Model
Published on: September 16, 2022
Multi-feature evaluation of financial contagion
Jarosław Duda1, Henryk Gurgul2, Robert Syrek3
1Institute of Computer Science, Faculty of Mathematics and Computer Science, Jagiellonian University in Krakow, ul. Prof. S. Lojasiewicza 6, 30-348 Kraków, Poland.
This study introduces a new, computationally inexpensive method to assess financial contagion by analyzing the evolution of multiple higher moments of stock market returns. The approach provides deeper insights into crisis stages and contagion strength across markets.
Area of Science:
- Quantitative Finance
- Econometrics
- Financial Modeling
Background:
- Financial contagion, the spread of market turmoil, is typically assessed via correlation matrices.
- Existing methods often fail to capture the multi-dimensional impact of crises on return distributions.
- Higher moments (skewness, kurtosis) and their dynamic interactions are crucial for understanding contagion.
Purpose of the Study:
- To develop a computationally inexpensive methodology for evaluating financial contagion beyond correlation matrices.
- To extend contagion analysis to the evolution of multiple higher mixed moments of financial returns.
- To provide a more comprehensive understanding of intermarket relationships during crises.
Main Methods:
- Modeling the joint distribution of normalized index returns using polynomials with time-evolving coefficients.
- Estimating coefficients via exponential moving averages for computational efficiency.
- Applying Principal Component Analysis (PCA) for dimensionality reduction of evolving moments.
Main Results:
- A novel approach to capture multi-dimensional contagion dynamics across financial markets.
- Identification of dominant, relatively independent features describing intermarket relations.
- Features provide insights into the current crisis stage and contagion intensity.
Conclusions:
- The proposed method offers a simple and efficient way to enhance financial contagion analysis.
- It captures complex, multi-dimensional interactions in market returns, improving crisis assessment.
- The methodology provides valuable information for understanding and potentially mitigating contagion effects.
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