Time-consistent and market-consistent evaluations

A. Pelsser, M.A. Stadje

Research output: Contribution to journalArticleScientificpeer-review

23 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)25-65
JournalMathematical Finance
Volume24
Issue number1
Early online date7 Feb 2013
DOIs
Publication statusPublished - 2014

Keywords

  • Actuarial valuation principles
  • financial risk
  • market-consistency
  • time-consistency

Fingerprint Dive into the research topics of 'Time-consistent and market-consistent evaluations'. Together they form a unique fingerprint.

Cite this