The Informational Dynamics of Mean‒Variance Relationships in Fertilizer Markets: An Entropic Investigation

Area of Science:

• Agricultural Economics
• Financial Markets Analysis
• Information Theory

Background:

• The risk-return trade-off is a core concept in finance, influencing portfolio optimization.
• Understanding price dynamics and market behavior during periods of varying volatility is crucial.

Purpose of the Study:

• To analyze the risk-return relationship in five major fertilizer markets across different volatility periods.
• To investigate the impact of market informational dynamics, specifically entropy, during these periods.

Main Methods:

• Comparative analysis of risk-return trade-offs during low and high volatility periods (including the global financial crisis).
• Entropy assessment to evaluate informational dynamics within fertilizer markets.

Main Results:

• A positive association between higher volatility and increased returns was observed in diammonium phosphate, potassium chloride, triple super phosphate, and urea markets, but not rock phosphate.
• The magnitude of the risk-return relationship diminished during high volatility periods.
• Entropy levels in return and volatility series significantly increased during high variability periods for all analyzed fertilizer markets.

Conclusions:

• Key statistical patterns of returns and the return-volatility relationship are significantly altered during periods of high market variability.
• Increased market entropy during high volatility periods reflects heightened informational dynamics and uncertainty.