Nonlinear valuation and non-Gaussian risks in finance

What happens to risk as the economic horizon goes to zero and risk is seen as an exposure to a change in state that may occur instantaneously at any time? All activities that have been undertaken statically at a fixed finite horizon can now be reconsidered dynamically at a zero time horizon, with ar...

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Bibliographic Details
Main Authors: Madan, Dilip B., Schoutens, Wim (Author)
Format: eBook
Language:English
Published: Cambridge ; New York, NY Cambridge University Press 2022
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
Table of Contents:
  • Univariate risk representation using arrival rates
  • Estimation of univariate arrival rates from time series data
  • Estimation of univariate arrival rates from option surface data
  • Multivariate arrival rates associated with prespecified univariate arrival rates
  • The measure-distorted valuation as a financial objective
  • Representing market realities
  • Measure-distorted value-maximizing hedges in practice
  • Conic hedging contributions and comparisons
  • Designing optimal univariate exposures
  • Multivariate static hedge designs using measure-distorted valuations
  • Static portfolio allocation theory for measure-distorted valuations
  • Dynamic valuation via nonlinear martingales and associated backward stochastic partial integro-differential equations
  • Dynamic portfolio theory
  • Enterprise valuation using infinite and finite horizon valuation of terminal liquidation
  • Economic acceptability
  • Trading Markovian models
  • Market implied measure-distortion parameters