
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.
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
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
| 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). | 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). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
