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Fully-dynamic risk-indifference pricing and no-good-deal bounds. (arXiv:1711.05567v1 [math.PR])
来源于:arXiv
The seller's risk-indifference price evaluation is studied. We propose a
dynamic risk-indifference pricing criteria derived from a fully-dynamic family
of risk measures on the $L_p$-spaces for $p\in [1,\infty]$. The concept of
fully-dynamic risk measures extends the one of dynamic risk measures by adding
the actual possibility of changing the risk perspectives over time. The family
is then characterised by a double time index. Our framework fits well the study
of both short and long term investments. In this dynamic framework we analyse
whether the risk-indifference pricing criterion actually provides a proper
convex price system, for which time-consistency is guaranteed. It turns out
that the analysis is quite delicate and necessitates an adequate setting. This
entails the use of capacities and an extension of the whole price system to the
Banach spaces derived by the capacity seminorms.
Furthermore, we consider the relationship of the fully-dynamic
risk-indifference price with no-goo 查看全文>>