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Optimal Reinsurance under Distortion Risk Measures
Distortion risk measure expected premium principle the optimal reinsurance strategy VaR TVaR
2016/1/25
In this paper, we discuss the optimal reinsurance strategy of minimizing the in-surer’s risk under the distortion risk measure. We assume that reinsurance premium is determined by the expected premium...
Jackknife Empirical Likelihood Method for Some Risk Measures and Related Quantities
Confidence interval jackknife empirical likelihood risk measure
2016/1/25
Quantifying risks is of importance in insurance. In this paper, we employ the jackknife empirical likelihood method to construct confidence intervals for some risk measures and related quantities stud...
Optimal Reinsurance under Distortion Risk Measures
Distortion risk measure expected premium principle the optimal reinsurance strategy VaR TVaR
2016/1/20
In this paper, we discuss the optimal reinsurance strategy of minimizing the in-surer’s risk under the distortion risk measure. We assume that reinsurance premium is determined by the expected premium...
Jackknife Empirical Likelihood Method for Some Risk Measures and Related Quantities
Confidence interval jackknife empirical likelihood risk measure
2016/1/20
Quantifying risks is of importance in insurance. In this paper, we employ the jackknife empirical likelihood method to construct confidence intervals for some risk measures and related quantities stud...
Spectral Risk Measures, With Adaptions For Stochastic Optimization
Spectral Risk Measures Adaptions Stochastic Optimization
2012/11/22
Stochastic optimization problems often involve the expectation in its objective. When risk is incorporated in the problem description as well, then risk measures have to be involved in addition to qua...
Optimal starting times, stopping times and risk measures for algorithmic trading
Quantitative Finance High-Frequency Trading Algorithmic Trading Optimal Execution Market Impact Risk Measures
2012/6/4
We derive explicit recursive formulas for Target Close (TC) and Implementation Shortfall (IS) in the Almgren-Chriss framework. We explain how to compute the optimal starting and stopping times for IS ...
From Risk Measures to Research Measures
Bibliometric Indices Citations Risk Measures Scienti c Impact Measures Calibration Duality
2012/6/4
In order to evaluate the quality of the scientific research, we introduce a new family of scientific performance measures, called Scientific Research Measures (SRM). Our proposal originates from the m...
Comparative and qualitative robustness for law-invariant risk measures
Law-invariant risk measure convex risk measure coherent risk measure Orlicz space qualitative robustness comparative robustness
2012/4/28
When estimating the risk of a P&L from historical data or Monte Carlo simulation, the robustness of the estimate is important. We argue here that Hampel's classical notion of qualitative robustness is...
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...
From Smile Asymptotics to Market Risk Measures
dynamic convex risk measures volatility skew stochastic volatility models indifference pricing backward stochastic differential equations
2011/10/9
Abstract: The left tail of the implied volatility skew, coming from quotes on out-of-the-money put options, can be thought to reflect the market's assessment of the risk of a huge drop in stock prices...
Distortion risk measures for sums of dependent losses
Coherence Dependence structure Distortion function Risk measure Risk theory
2011/7/5
We discuss two distinct approaches, for distorting risk measures of sums of dependent random variables, which preserve the property of coherence. The first, based on distorted expectations, operates o...
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...
Distortion risk measures for sums of dependent losses
Coherence Dependence structure Distortion function Risk measure Risk theory insurance Wang transform
2011/7/5
We discuss two distinct approaches, for distorting risk measures of sums of dependent random variables,
which preserve the property of coherence. The first, based on distorted expectations, operates ...
Coupled risk measures and their empirical estimation when losses follow heavy-tailed distributions
Risk measure Heavy-tailed distribution Distortion risk measure Weighted risk measure Proportional hazards transform Conditional tail expectation Premium calculation principle Index of economic inequality Statistical inference
2011/6/20
Considerable literature has been devoted to developing statistical
inferential results for risk measures, especially for those that are
of the form of L-functionals. However, practical and theoretic...