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Supervised by Ministry of Education of the People's Republic of China
This paper studies the optimal investment strategy foran insurer under Markowitz's mean-variance criterion. The insurercan invest in a bond and multiple stocks in a financial market. Themarket parameters, including the interest rate of the bond and theappreciation and volatility rates of the stocks, are modulated by aMarkov chain with finite states. The risk process is described by aclassical compound Poisson model. Using techniques of stochasticlinear-quadratic (LQ) control, the paper obtains the optimalinvestment strategy and efficient frontier.