Ahmer Nadeem Khan
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Dynamic VIX-Based Hedging of Equity Risk during Market Stress Events

An empirical study on volatility-regime shifts using VIX during tariff-related market shocks, and the construction of a dynamic hedging strategy for a long S&P 500 portfolio using short-term VIX futures exposure. Selected as a top project from 107 projects in the Erdős Institute Fall 2025 Cohort.

47% Reduction in annualized volatility
2.6× Sharpe ratio improvement factor
19% → 4% Max drawdown improvement
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Executive Summary

In this project, we explore volatility as a mechanism to hedge a portfolio of stocks in the US equities market (large cap stocks). We first collect the data for the following instruments (tickers):

  1. S&P 500 (GSPC); used as a proxy for S&P 500 INDEX (SPX)
  2. CBOE Volatility Index (VIX)
  3. iPath Series B S&P 500 VIX Short-Term Futures ETN (VXX)

through Yahoo Finance custom data scraping. We then perform simple visualizations of the data, and conduct and report on an initial regression analysis to motivate a hedging portfolio. Note that we use the ETF product VXX to obtain exposure to volatility; the ETF tracks an index on the short-term futures on the VIX. CBOE also offers other derivative products on the VIX, including options and futures.

We then present a researched Event study of spikes/surges in the VIX over the YTD time period. The filtering and labeling was achieved quantitatively on the VIX daily data using jump/level detection and the qualitative market events research was done independently. We identify the triggers and then annotate them with real market events from this past year. The sources are also provided.

Finally, we execute static and dynamic hedging (60 day rolling window) strategies from Modern Portfolio Theory on daily Year-to-date (YTD) close and adj. close data for the current date (07 November, 2025). The performance of our portfolios is presented in charts and through the following performance metrics:

  1. Annualized Volatility (risk)
  2. Sharpe Ratio
  3. Maximum Drawdown (downside risk)

Main contributions

  • Selected as a top project from 107 projects in the Erdős Institute Fall 2025 Cohort.
  • Empirical study on volatility-regime shifts and macro-triggered tail-risk using VIX during tariff-related market shocks.
  • Constructed and backtested a dynamic hedging strategy for a long S&P 500 portfolio using short-term VIX futures exposure.
  • Demonstrated substantial performance improvement: 47% reduction in annualized volatility, 2.6 factor increase in Sharpe ratio, and max drawdown reduced from –19% to –4%.

Conclusions

Dynamic VIX-based hedging provides substantial risk reduction for equity portfolios during market stress events. The strategy achieves a 47% reduction in volatility and improves the Sharpe ratio by a factor of 2.6 while reducing maximum drawdown from –19% to –4%. These results demonstrate that carefully designed dynamic hedging strategies can significantly enhance portfolio stability during macro-driven volatility spikes.

The project highlights the importance of regime-switching models and event-driven analysis in understanding tail-risk dynamics. By combining empirical research with rigorous backtesting, we provide a practical framework for risk management in equity portfolios exposed to macro shocks.