Insurer Optimal Asset Allocation in a Small and Closed Economy: The Case of Iran’s Social Security Organization

Elaheh Esfandi, M. Mousavi, Rassam Moshrefi, Babak Farhang-Moghaddam
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Abstract

We seek to determine the optimal amount of the insurer’s investment in all types of assets for a small and closed economy. The goal is to detect the implications and contributions the risk seeker and risk aversion insurer commonly make and the effectiveness in the investment decision. Also, finding the optimum portfolio for each is the main goal of the present study. To this end, we adopted the optimal asset-liability management (ALM) method to control the firm's risk of financial stability and growth by balancing the assets and liabilities of the firm. In the process, stochastic interest rates and inflation risks were taken into account according to the expected utility maximization framework. All assets were established and calculated by the Kalman Filter with the stochastic interest rate following the Hull-White model; an additional stochastic process models the inflation risk. To consider the stochastic process, we employed the geometric Brownian motion in the liability process to ensure a definite liability value. We chose Iran’s Social Security Organization as our sample insurer company since it has a portfolio of five types of assets and four types of liabilities, and operates in a small and closed economy. By Applying the ALM method with the stochastic control theory approach, we acquire the optimal investment strategies for insurers to minimize their risk. Our findings demonstrate the effects of model parameters, such as the degree of risk-taking on the insurer decision.
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小型封闭经济中保险公司最优资产配置:以伊朗社会保障组织为例
我们试图确定保险公司在所有类型资产投资的最佳金额为一个小而封闭的经济。目的是检测风险寻求者和风险厌恶者在投资决策中的影响和贡献,以及投资决策的有效性。同时,为每一种投资组合寻找最优投资组合是本研究的主要目标。为此,我们采用最优资产负债管理(ALM)方法,通过平衡企业的资产负债来控制企业的财务稳定和成长风险。在此过程中,根据期望效用最大化框架考虑了随机利率和通货膨胀风险。根据Hull-White模型,用随机利率卡尔曼滤波建立并计算所有资产;另一个随机过程模拟通货膨胀风险。为了考虑随机过程,我们在负债过程中采用几何布朗运动来保证负债值的确定。我们选择伊朗的社会保障组织作为样本保险公司,因为它有五种类型的资产和四种类型的负债,并且在一个小而封闭的经济体中运营。通过运用随机控制理论的方法,我们得到了保险公司风险最小化的最优投资策略。我们的研究结果证明了模型参数的影响,如风险承担程度对保险公司的决策。
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