With the gradual development and improvement of the financial market, financial derivatives such as futures and options have also become the objects of competition in the financial market. Therefore, how to make the most favorable and optimized investment and consumption when options are included? It has become a problem facing investors. Aiming at the optimal investment problem of investors, this paper studies the calculation of an optimal investment strategy in stochastic differential equations in financial market options on the basis of fuzzy theory. Now, stochastic calculus has become an important branch of stochastic analysis, finance, control, and other fields. The study of introducing stochastic differential equations is mainly to solve the stochastic control problem, which is the principle of the stochastic maximum. In finance, some hedging or pricing problems of contingent rights can eventually be transformed into a series of stochastic differential equations. Based on the historical data of five aspects of bank deposits, bonds, funds, stocks, and real estate of four listed insurance companies, the paper analyzes the optimization strategy of the capital investment of listed insurance companies based on the investment yield of the domestic investment market. According to the final results, the historical proportion of bank deposits of the superior company is 27%, and the optimal proportion given by the model is 25%; the total proportion of funds and stocks is 15%, and the optimal proportion of funds analyzed in the model is 20% and the optimal proportion of stocks is 10%. Therefore, the final results show that the investment efficiency of listed insurance companies can actually increase investment in stocks and funds and reduce the proportion of bank deposits to obtain greater investment returns.
[1]
Paola Tardelli.
Partially informed investors: hedging in an incomplete market with default
,
2015,
J. Appl. Probab..
[2]
Geoffrey Poitras,et al.
European Put-Call Parity and the Early Exercise Premium for American Currency Options
,
2009
.
[3]
Xiao-Qian Jiang,et al.
A pricing option approach based on backward stochastic differential equation theory
,
2019
.
[4]
Darren K. Hayunga,et al.
Trading in the Options Market around Financial Analysts’ Consensus Revisions
,
2014,
Journal of Financial and Quantitative Analysis.
[5]
Jun Cai,et al.
Optimal investment–reinsurance strategies with state dependent risk aversion and VaR constraints in correlated markets
,
2019,
Insurance: Mathematics and Economics.
[6]
Tao Pang,et al.
An Efficient Grid Lattice Algorithm for Pricing American-Style Options
,
2015
.
[7]
L. Rogers,et al.
Optimal Investment: Bounds and Heuristics
,
2015
.
[8]
Yan Zeng,et al.
Dynamic derivative-based investment strategy for mean–variance asset–liability management with stochastic volatility
,
2018
.
[9]
Guangchen Wang,et al.
An optimal control problem for mean-field forward-backward stochastic differential equation with partial information
,
2015
.
[10]
Travis G. Coan,et al.
Financial Markets and the Political Center of Gravity
,
2017
.
[11]
Xiaowei Chen,et al.
Asian Option Pricing Formula for Uncertain Financial Market
,
2015
.