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Mathematical Finance
Article . 2013 . Peer-reviewed
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Article . 2011 . Peer-reviewed
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Article . 2011 . Peer-reviewed
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Article . 2011 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2011
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Time-Consistent and Market-Consistent Evaluations

Time-consistent and market-consistent evaluations
Authors: Mitja Stadje; Antoon Pelsser;

Time-Consistent and Market-Consistent Evaluations

Abstract

We consider evaluation methods for payoffs with an inherent financial risk as encountered for instance for portfolios held by pension funds and insurance companies. Pricing such payoffs in a way consistent to market prices typically involves combining actuarial techniques with methods from mathematical finance. We propose to extend standard actuarial principles by a new market‐consistent evaluation procedure which we call “two‐step market evaluation.” This procedure preserves the structure of standard evaluation techniques and has many other appealing properties. We give a complete axiomatic characterization for two‐step market evaluations. We show further that in a dynamic setting with continuous stock prices every evaluation which is time‐consistent and market‐consistent is a two‐step market evaluation. We also give characterization results and examples in terms of g‐expectations in a Brownian‐Poisson setting.

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Netherlands
Related Organizations
Keywords

MONETARY RISK MEASURES, \(g\)-expectation, financial risk, VALUATION, actuarial valuation principles, FOS: Economics and business, Derivative securities (option pricing, hedging, etc.), INDIFFERENCE PRICES, Risk theory, insurance, STOCHASTIC DIFFERENTIAL-EQUATIONS, time-consistent evaluation, market-consistency, DISCRETE-TIME, Asset pricing models, market-consistent evaluation, two-step market evaluation, Pricing of Securities (q-fin.PR), time-consistency, Quantitative Finance - Pricing of Securities, Actuarial valuation principles

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    55
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
55
Top 10%
Top 10%
Average
Green
hybrid