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Complete duality for quasiconvex dynamic risk measures on modules of the $L^{p}$-type
quasiconvex functions dual representation complete duality L0-modules dynamic risk measures quasiconvex risk measures
2012/3/2
We provide a dual representation of quasiconvex conditional risk measures $% \rho $ defined on $L^{0}$ modules of the $L^{p}$ type. This is a consequence of more general result which extend the usual ...
Set-Valued Dynamic Risk Measures
dynamic risk measures transaction costs set-valued risk measures time consistency dual representation
2012/3/2
The paper concerns primal and dual representations as well as time consistency of set-valued dynamic risk measures. Set-valued risk measures appear naturally when markets with transaction costs are co...
The Price of Dynamic Inconsistency for Distortion Risk Measures
The Price of Dynamic Inconsistency Distortion Risk Measures potentially inconsistent behavior.
2011/7/4
A proper framework for measuring and mitigating risk in dynamic settings is of utmost importance,
on both a practical, as well as a theoretical level. In recent years, coherent risk measures have eme...
Optimal consumption and investment with bounded downside risk measures for logarithmic utility functions
Optimal consumption investment bounded downside risk measures logarithmic utility functions
2010/10/18
We investigate optimal consumption problems for a Black-Scholes market under uniform restrictions on Value-at-Risk and Expected Shortfall for logarithmic utility functions. We find the solutions in t...
Exponential Spectral Risk Measures
spectral risk measures risk aversion functions exponential utility function parametric bootstrap
2011/3/31
Spectral risk measures are attractive risk measures as they allow the user to obtain risk measures that reflect their subjective risk-aversion. This paper examines spectral risk measures based on an e...