An analytical solution for the robust investment-reinsurance strategy with general utilities

In financial markets, different investors have different attitudes or preferences on the investment policies and reinsurance problems. For investors with different investment utilities, how to provide an optimal investment strategy is not only a very hard problem, but also an urgent problem to be solved. In this paper, we derive an analytical solution for the optimal allocation problem of investment-reinsurance with general-form utility function. The general utility function allows for varying relative risk aversion coefficient, which is an important feature in finance theory. However, obtaining analytical solutions for general utility function has been difficult or impossible. The solution presented in this paper is constructed through the homotopy analysis method (HAM) and written in the form of a Taylor series expansion. The fully nonlinear Hamilton–Jacobi–Bellman (HJB) equation is decomposed into an infinite series of linear PDEs, which can be solved analytically. In the end, three examples are presented to illustrate the convergence and accuracy of the method, it also demonstrates that different risk reference investors have different investment-reinsurance strategies.     

Policy analysis with Melitz-type gravity model: Evidence from Kyrgyzstan

Several governments worldwide aim at fostering agricultural productivity growth by providing investment support. However, the policy’s effect on trade for middle- and low-income countries has not been analyzed so far. This paper analyzes the impact of agricultural policies (credit subsidies and tariffs) on agricultural trade flows by modifying a Melitz-type structural gravity model for a small and open economy. According to the theory, trade flows are expected to increase with credit subsidies and decrease with partners’ applied tariff rates. We analyze bilateral agricultural trade flows between Kyrgyzstan and its 69 trading partners from 2007 to 2018 to test our theoretical findings. Applying the Poisson pseudo maximum likelihood estimator, we find that credit subsidies effectively increase international trade flows while applied tariffs imposed on agricultural products reduce Kyrgyzstan’s export substantially. These results can be applied to similar economies with publicly available data where small budgetary efforts drive trade expansion.