Arbeitspapier

Actuarial transform pricing

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 with 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.

Sprache
Englisch

Erschienen in
Series: Manchester Business School Working Paper ; No. 592

Klassifikation
Wirtschaft
Incomplete Markets
Contingent Pricing; Futures Pricing; option pricing
Single Equation Models; Single Variables: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
Thema
Esscher transform
indifference pricing
Wang transform
standard deviation loading

Ereignis
Geistige Schöpfung
(wer)
Ruban, Oleg
Vitiello, Luiz
Poon, Ser-Huang
Ereignis
Veröffentlichung
(wer)
The University of Manchester, Manchester Business School
(wo)
Manchester
(wann)
2010

Handle
Letzte Aktualisierung
10.03.2025, 11:42 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Ruban, Oleg
  • Vitiello, Luiz
  • Poon, Ser-Huang
  • The University of Manchester, Manchester Business School

Entstanden

  • 2010

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