Abstract:
In this paper, we put the risk dependence, consistency risk measurement and portfolio into an analytical framework, combined with Coupla-CVaR model and Mean-var portfolio theory to construct the investment portfolio model of Mean-Copula-CVaR, and effectively solve the consistency risk measurement and dependence. Using the Securities index, bank index and insurance index, we empirically analyze the differences of asset portfolio and the adequacy of risk measure among financial institutions on basis of linear dependence and complex dependence (Copula dependence).The results show that putting Copula model can more robustly and accurately predict the CVaR portfolio. However, there is no significant difference between different forms of Copula in this paper. The policy implication of this paper is that it is possible to underestimate the risk if we ignore the structure of complex risk dependence, thus affecting the effectiveness of asset allocation.
Artzner P,Delbaen F,Eber J M and Heath D.1997.“Thinking Coherently Risk” Mathematical Finance,(9):203~228.
[13]
Anderson F, Mausser H, Rosen D and Uryasev S.2001.“Credit Risk Optimization with Conditional Value-at-Risk Criterion” Mathematical Programming, Series B,(89):273~291.
[14]
Bielecki T R, Jin H, Pliska S R and Zhou, X Y.2005.“Continuous Time Mean-Variance Portfolio Selection with Bankruptcy Prohibition” Mathematical Finance,(15):213~244.
[15]
Cox, John C, Ingersoll, Jonathan E., Jr. and Ross, Stephen A.1985. “A Theory of the Term Structure of Interest Rates” Econometrica,53(2), pp. 385~407.
[16]
Francois Longin,and Bruno Solnik.2001.“Extreme Correlation of International Equity Markets”Journal of Finance,56(2):649~676.
[17]
Krokhmal P, Palmquist J and Uryasev S.2002.“Portfolio Optimization with Conditional Value-at-risk Objective and Constrains” The Journal of Risk,4(2):32~45.
[18]
Manying Bai and Lujie Sun.2007.“Application of Copula and Copula-CVaR in the Multivariate Portfolio Optimization” Hangzhou University. P231~242.
[19]
Nikolas T, Hercules V and Stavros A.2002.“CVaR Models with Selective Hedging for International Asset Allocation”Journal of Banking and Finance,26(7):1535~1561.
