基于跳躍擴散過程的保險資金最優(yōu)投資模型研究
發(fā)布時間:2019-03-15 22:30
【摘要】:保險公司的盈余為跳躍擴散過程,保險人投資于債券和股票,且股票的價格服從跳躍擴散過程的最優(yōu)投資組合。在均值-方差準則下通過隨機最優(yōu)控制方法,建立并求解保險資金投資模型的HJB方程,獲得了保險資金最優(yōu)投資模型和有效邊界的閉式解,并進行了數(shù)值模擬。結(jié)果顯示,投資于風險證券的資金量與初始資本金并不是簡單的正比例關(guān)系。
[Abstract]:The surplus of the insurance company is the jump diffusion process, the insurer invests in the bond and the stock, and the price of the stock obeys the optimal portfolio of the jump diffusion process. Under the mean-variance criterion, the HJB equation of the insurance capital investment model is established and solved by the stochastic optimal control method. The closed form solution of the insurance fund optimal investment model and the effective boundary is obtained, and the numerical simulation is carried out. The results show that the amount of capital invested in venture securities is not a simple proportional relationship with the initial capital.
【作者單位】: 廈門大學經(jīng)濟學院金融系;
【分類號】:F224;F842
[Abstract]:The surplus of the insurance company is the jump diffusion process, the insurer invests in the bond and the stock, and the price of the stock obeys the optimal portfolio of the jump diffusion process. Under the mean-variance criterion, the HJB equation of the insurance capital investment model is established and solved by the stochastic optimal control method. The closed form solution of the insurance fund optimal investment model and the effective boundary is obtained, and the numerical simulation is carried out. The results show that the amount of capital invested in venture securities is not a simple proportional relationship with the initial capital.
【作者單位】: 廈門大學經(jīng)濟學院金融系;
【分類號】:F224;F842
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