Dynamic Behavior Analysis and Measurement of Financial Market Crash Rate in Iran

Authors

    Masoumeh Darabi Department of Economic Sciences, Ka.C., Islamic Azad University, Alborz, Iran
    Gholamreza Zomorodian * Department of Financial Management, CT.C., Islamic Azad University, Tehran, Iran Gh.zomorodian@iau.ac.ir
    Bahman Banimahd Department of Accounting, Ka.C., Islamic Azad University, Alborz, Iran
    Mirfeiz Fallah Shams Department of Financial Management, CT.C., Islamic Azad University, Tehran, Iran

Keywords:

Dynamic Behaviors, Financial Market Crash, Risk - Capital Market, Price Fluctuations

Abstract

Objective: The purpose of the present study is to analyze dynamic behaviors and estimate the financial market crash rate in Iran using the Black–Scholes, Heston, conditional crash rate, and escape velocity models to explain the dynamics of market fluctuations and forecast crash risk.

Methodology: This research is applied in purpose and descriptive–analytical in nature, falling within the category of post-event studies. The data include the free-float stock index, cash return index, top 50 active firms index, industrial index, and financial index of Iran’s capital market over a ten-year period. Initially, the intrinsic values of the indices were calculated using the Black–Scholes and Heston asset pricing models to identify overvaluation or undervaluation conditions. The outputs of these models were then used as inputs for crash models, including the Maximum Crash Model, Conditional Crash Rate Model, and Escape Velocity Model. Statistical tests such as the unit root tests (ADF and PP), heteroscedasticity test (ARCH), dynamic quantile regression, and conditional convergence, model length, and loss function tests were applied to assess model stability and accuracy.

Findings: The results indicated that the return data of all indices were stationary at the 99% confidence level. Both the multivariate GARCH(1,1) Black–Scholes model and the Heston model demonstrated significant performance in estimating the intrinsic value of indices. The free-float stock index and the top 50 active firms index played a moderating role in market volatility and crash risk, whereas the cash return index served as a predictive variable and the financial index acted as an accelerator of market crashes. The Escape Velocity Model exhibited higher accuracy than the Maximum Crash Model in predicting market crash rates under crisis conditions. Stability and convergence tests also confirmed the predictive validity of the combined model at a significance level below 5%.

Conclusion: The findings reveal that integrating classical asset pricing models with dynamic and nonlinear crash models provides an effective framework for analyzing and forecasting market fluctuations and crash risk in Iran’s capital market. These models can serve as practical tools for investors, regulatory bodies, and economic policymakers to enhance market stability and efficiency.

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Published

2025-11-22

Submitted

2025-06-22

Revised

2025-10-27

Accepted

2025-11-04

Issue

Section

مقالات

How to Cite

Darabi, M. ., Zomorodian, G., Banimahd, B., & Fallah Shams, M. . (1404). Dynamic Behavior Analysis and Measurement of Financial Market Crash Rate in Iran. Dynamic Management and Business Analysis, 4(3), 134-155. https://dmbaj.org/index.php/dmba/article/view/256

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