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SSRN Electronic Journal
Article . 2010 . Peer-reviewed
Data sources: Crossref
SSRN Electronic Journal
Article . 2010 . Peer-reviewed
Data sources: Crossref
EconStor
Research . 2010
Data sources: EconStor
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Actuarial Transform Pricing

Authors: Ruban, Oleg; Vitiello, Luiz; Poon, Ser-Huang;

Actuarial Transform Pricing

Abstract

This article studies four transform pricing methods in the context of general equilibrium (GE) framework. The four methods, viz. the Esscher transform, indifference pricing, the Wang transform, and the standard deviation loading, are popular among actuarial literature and practice. The transform pricing methods offer a convenient solution to contingent claim pricing problem when the underlying risk exposure cannot be fully hedged. We show analytically that these four methods are similar and close to the GE approach if the utility has an exponential function, and the underlying distribution is Normal. When the payoff distribution is non-gaussian, prices produced by the four methods vary widely. Moreover, some transform methods may lead to prices that are not coherent, violating one or more of the following properties: additivity, homogeneity, scale invariance and monotonicity. We discuss the implications of our findings on incomplete market pricing.

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Keywords

Esscher transform, ddc:330, G13, Wang transform, standard deviation loading, D52, C22, indifference pricing

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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!
0
Average
Average
Average
bronze