Pricing Life Insurance On No-arbitrage Model With Poisson Jump-diffusion

Life insurance pricing is an important direction of life theoretical research, is the key to life business development, accurate and reasonable pricing of life insurance is essential to company's survival and development.With the forward development of economy and society, insurance industries pay more attention to the use of capital investment in order to create more value, add futures, options and other financial derivatives as an important element of insurance investment. This paper considers Life Insurance Pricing under the model of life insurance assets subject to the case of B-S,references to the research results of predecessors on no-arbitrage pricing of life insurance, has extended the boundary conditions of the no-arbitrage pricing of life insurance, and it bases on the improvements on the model, combining the idea of no-arbitrage pricing of life insurance with asset share pricing methods, calculate reasonable premium and investment strategies by measurement and analysis. Next in view of asset price movements, the "normal" vibrations, that is Brownian motion, the "abnormal" vibrations, this is described by Poisson process. This article considers life insurance pricing under the life insurance assets with Poisson jump B-S model, obtained the partial differential equations for pricing life insurance under the Poisson jump-diffusion with a life insurance pricing model, combined with the asset share pricing methods to obtain the corresponding investment strategy.