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Related Concept Videos

Volatilization01:10

Volatilization

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Volatilization gravimetry is an analytical technique that measures the mass lost due to the volatilization of the substance. This technique is used to estimate the amount of volatile material in a sample. To perform this method, heat a known amount of the sample to a high temperature in a crucible or other suitable vessel. The volatile substance in the sample evaporates, and the vapor is completely expelled from the crucible either by heating the sample or bubbling a stream of inert gas through...
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A reversible chemical reaction represents a chemical process that proceeds in both forward (left to right) and reverse (right to left) directions. When the rates of the forward and reverse reactions are equal, the concentrations of the reactant and product species remain constant over time and the system is at equilibrium. A special double arrow is used to emphasize the reversible nature of the reaction. The relative concentrations of reactants and products in equilibrium systems vary greatly;...
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Free Energy and Equilibrium

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The free energy change for a process may be viewed as a measure of its driving force. A negative value for ΔG represents a driving force for the process in the forward direction, while a positive value represents a driving force for the process in the reverse direction. When ΔGrxn is zero, the forward and reverse driving forces are equal, and the process occurs in both directions at the same rate (the system is at equilibrium).
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Chemical Equilibria: Systematic Approach to Equilibrium Calculations01:21

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Equilibrium calculations for systems involving multiple equilibria are often complex. For example, to calculate the solubility of a sparingly soluble salt in an aqueous solution in the presence of a common ion, one must consider all the equilibria in this solution. Calculations for these systems can be complicated and tedious, so a systematic approach with a series of steps is often helpful. The process is detailed below.
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Calculating the Equilibrium Constant02:46

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The equilibrium constant for a reaction is calculated from the equilibrium concentrations (or pressures) of its reactants and products. If these concentrations are known, the calculation simply involves their substitution into the Kc expression.
For example, gaseous nitrogen dioxide forms dinitrogen tetroxide according to this equation:
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Solution Equilibrium and Saturation01:59

Solution Equilibrium and Saturation

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Imagine adding a small amount of sugar to a glass of water, stirring until all the sugar has dissolved, and then adding a bit more. You can repeat this process until the sugar concentration of the solution reaches its natural limit, a limit determined primarily by the relative strengths of the solute-solute, solute-solvent, and solvent-solvent attractive forces. You can be certain that you have reached this limit because, no matter how long you stir the solution, undissolved sugar remains. The...
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A general equilibrium approach to pricing volatility risk.

Jianlei Han1, Martina Linnenluecke1, Zhangxin Liu2

  • 1Department of Applied Finance, Macquarie University, NSW, Australia.

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Summary

This study introduces a general equilibrium model for pricing volatility, outperforming existing statistical and options-based methods. The new approach offers superior volatility forecasting and economic value through timing strategies.

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Area of Science:

  • Quantitative Finance
  • Asset Pricing
  • Econometrics

Background:

  • Existing volatility models rely on statistical estimation (ARCH/GARCH), option combinations (VIX), or specific utility preferences.
  • These methods lack a unified theoretical framework for pricing volatility as an asset.
  • A general equilibrium perspective is needed to capture the fundamental drivers of volatility pricing.

Purpose of the Study:

  • To develop and present a novel general equilibrium framework for pricing financial volatility.
  • To demonstrate the superior forecasting performance of this new approach compared to existing models.
  • To explore the application of this framework in pricing risk and generating economic value.

Main Methods:

  • Employing a general equilibrium state pricing framework to treat volatility as a tradable asset.
  • Comparing the forecasting accuracy of the general equilibrium volatility model against established statistical and index-based methods.
  • Applying the model to price downside risk and upside opportunity, and assessing economic value via volatility timing.

Main Results:

  • The general equilibrium volatility approach demonstrates superior forecasting ability for realized volatility.
  • The model effectively functions as a 'fear gauge,' reflecting market sentiment.
  • The framework successfully prices both downside risk and upside opportunity.

Conclusions:

  • The general equilibrium state pricing framework offers a robust and flexible method for volatility pricing.
  • This approach provides significant economic value through enhanced volatility timing strategies.
  • The model advances the understanding of volatility as an asset within a comprehensive financial theory.