Approximation for volatility of random variable

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SUMMARY

The discussion centers on the approximation for the volatility of a random variable as presented in the Hull Derivatives book. The user seeks clarification on the logic and derivation of this approximation, referencing a specific document for further context. The approximation is crucial for understanding financial derivatives and risk management. The lack of detailed explanation in the Hull text highlights the need for deeper exploration of the underlying mathematical principles.

PREREQUISITES
  • Understanding of financial derivatives
  • Familiarity with volatility concepts
  • Basic knowledge of stochastic processes
  • Proficiency in mathematical derivations
NEXT STEPS
  • Study the mathematical foundations of volatility in financial models
  • Review the Hull Derivatives book for specific examples of volatility approximations
  • Explore stochastic calculus as it relates to financial derivatives
  • Analyze the document referenced (http://econwpa.repec.org/eps/fin/papers/0212/0212005.pdf) for practical applications of the approximation
USEFUL FOR

Finance professionals, quantitative analysts, and students studying financial derivatives who seek to deepen their understanding of volatility approximations and their applications in risk management.

Petr Rygr
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Hello, could anyone please explain me some logic or derivation behind the approximation:
explain.jpg

Found it in the Hull Derivatives book without further explanation. Thanks for help
 
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