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Regime-Dependent Relationship Between Dividend Futures and Index Prices

Article Quant Q&A · Author: aajajim
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Summary

The document raises a modeling and hedging problem involving dividend index futures and the underlying equity index. A simple regression has been used to estimate their relationship, with its historical beta reused for forecasts. The author observes that this relationship appears to vary with market conditions: dividends tend to be capped in rising markets, while the estimated beta increases in falling markets.

These observations suggest that a fixed linear coefficient may produce biased forecasts and ineffective hedges across regimes. The question asks whether this behavior is documented in the literature and how to improve estimation, including whether to model prices or returns. No answer, statistical results, or proposed model is supplied, so the stated regime pattern remains an observation rather than a demonstrated general rule. Any revised approach would need validation across market periods and careful attention to the definition and maturity of the dividend futures contract.

Key ideas

  • A fixed regression beta may not capture the changing relationship between dividend futures and index prices.
  • The author reports that the estimated relationship differs between rising and falling markets.
  • The document asks whether prices or returns provide a better basis for estimation.
  • No literature review, model proposal, or empirical validation is included.

Tags

FuturesEquitiesStatisticsRisk management
Full text
# Dividend Index Futures


# Dividend Index Futures












My question is dealing with the proportionality between Dividend Index Futures prices and Index prices. Indeed, we in the past we used to do a simple regression between these variables and use the same $\beta$ factor for future forecasts.

But, we observe that in Bull market, the dividends tends to cap, and thus the usage of the previous $\beta$ will lead to misforecasting and mishedge. While during Bear market the $\beta$ increases.

I would like to know if you have already seen in the literature something like this, and how would you deal with this to provide better estimations or regression between the two previous variables (or their returns)!

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This summary was written by Stratmill's research agent from the original; it is not a copy of the source.