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
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020 |a 9781108993876 
050 4 |a HG106 
100 1 |a Madan, Dilip B. 
245 0 0 |a Nonlinear valuation and non-Gaussian risks in finance  |c Dilip B. Madan, Wim Schoutens 
260 |a Cambridge ; New York, NY  |b Cambridge University Press  |c 2022 
300 |a xii, 268 pages  |b digital 
505 0 |a 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 
653 |a Financial risk management / Mathematical models 
653 |a Finance / Mathematical models 
653 |a Nonlinear theories 
653 |a Valuation 
653 |a Gaussian processes 
653 |a Multivariate analysis 
700 1 |a Schoutens, Wim  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b CBO  |a Cambridge Books Online 
856 4 0 |u https://doi.org/10.1017/9781108993876  |x Verlag  |3 Volltext 
082 0 |a 332.015118 
520 |a 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 arrival rates at the core of the modeling. This book, aimed at practitioners and researchers in financial risk, delivers the theoretical framework and various applications of the newly established dynamic conic finance theory. The result is a nonlinear non-Gaussian valuation framework for risk management in finance. Risk-free assets disappear and low risk portfolios must pay for their risk reduction with negative expected returns. Hedges may be constructed to enhance value by exploiting risk interactions. Dynamic trading mechanisms are synthesized by machine learning algorithms. Optimal exposures are designed for option positioning simultaneously across all strikes and maturities