Investment portfolio management based on the two-step kernel estimator of CVaR
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    Abstract:

    The paper first applies nonparametric kernel estimation method to estimating CVaR which is currently a popular risk measurement tool,then derives a two-step kernel estimator of CVaR with distribution-free specification. Next,a two-step kernel estimator of CVaR is embed into the mean-CVaR portfolio optimization models to derive financial risk estimation and portfolio optimization at the same time. A simple iterative algorithm is designed to solve these models. Monte Carlo simulation result shows that the portfolio optimization models and the algorithm based on the two-step kernel estimator of CVaR is feasible and effective,and that the estimated error of portfolio frontier is very small. The models and algorithm above apply to a risk-free security.Finally,an empirical analysis of daily return data from Chinese A-stock market is presented to illustrate the application of this research.

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  • Online: April 22,2018
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