Portfolio Optimization Strategy Based on Risk Diffusion Model in Emerging Industry Development

In this paper, we first sort out the formula of the premium principle and the algorithm of the diffusion model and then study the strategy problem about optimal investment consumption and insurance purchase when investors invest in new developing industries under the risk diffusion model. In real fi...

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Main Authors: Ni Shuangqin, Wang Shen
Format: Article
Language:English
Published: Sciendo 2024-01-01
Series:Applied Mathematics and Nonlinear Sciences
Subjects:
Online Access:https://doi.org/10.2478/amns-2024-0110
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author Ni Shuangqin
Wang Shen
author_facet Ni Shuangqin
Wang Shen
author_sort Ni Shuangqin
collection DOAJ
description In this paper, we first sort out the formula of the premium principle and the algorithm of the diffusion model and then study the strategy problem about optimal investment consumption and insurance purchase when investors invest in new developing industries under the risk diffusion model. In real financial markets, there are two types of uncertainty regarding asset prices: normal fluctuations and abnormal shocks. The risk diffusion model is used to plan the optimal investment strategy based on this basis. In the end, three tests are executed, including two numerical simulations and one investment analysis that determines the investor’s age. The computational results show that the optimal strategy in the first set of simulations is the 56% increase in investment volume A(x) at the parameter σ = 0.1. The standard deviation of the investor’s objective in the second set of simulations is 9.287%, and the investor’s assets invested in risky securities should be 1.071. In the third set of tests, as the investor’s age increases, the value of the investor’s investment in risky assets continues to decline from 2.0 after 30 years, and by the time it reaches 40 years, it is already close to 0.25, and there is a continued decline, converging to 0. Investors can invest in providing effective reference data by investing in the portfolio optimization strategy in this paper, which predicts stock market volatility and vibration.
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spelling doaj.art-ad0a06b32c36456aa5b3794012eae1a12024-02-26T14:29:43ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562024-01-019110.2478/amns-2024-0110Portfolio Optimization Strategy Based on Risk Diffusion Model in Emerging Industry DevelopmentNi Shuangqin0Wang Shen11Jiangsu Union Technical Institute, Nanjing, Jiangsu, 210000, China.1Jiangsu Union Technical Institute, Nanjing, Jiangsu, 210000, China.In this paper, we first sort out the formula of the premium principle and the algorithm of the diffusion model and then study the strategy problem about optimal investment consumption and insurance purchase when investors invest in new developing industries under the risk diffusion model. In real financial markets, there are two types of uncertainty regarding asset prices: normal fluctuations and abnormal shocks. The risk diffusion model is used to plan the optimal investment strategy based on this basis. In the end, three tests are executed, including two numerical simulations and one investment analysis that determines the investor’s age. The computational results show that the optimal strategy in the first set of simulations is the 56% increase in investment volume A(x) at the parameter σ = 0.1. The standard deviation of the investor’s objective in the second set of simulations is 9.287%, and the investor’s assets invested in risky securities should be 1.071. In the third set of tests, as the investor’s age increases, the value of the investor’s investment in risky assets continues to decline from 2.0 after 30 years, and by the time it reaches 40 years, it is already close to 0.25, and there is a continued decline, converging to 0. Investors can invest in providing effective reference data by investing in the portfolio optimization strategy in this paper, which predicts stock market volatility and vibration.https://doi.org/10.2478/amns-2024-0110emerging industriesrisk diffusion modeloptimal portfoliooptimization strategy68q05
spellingShingle Ni Shuangqin
Wang Shen
Portfolio Optimization Strategy Based on Risk Diffusion Model in Emerging Industry Development
Applied Mathematics and Nonlinear Sciences
emerging industries
risk diffusion model
optimal portfolio
optimization strategy
68q05
title Portfolio Optimization Strategy Based on Risk Diffusion Model in Emerging Industry Development
title_full Portfolio Optimization Strategy Based on Risk Diffusion Model in Emerging Industry Development
title_fullStr Portfolio Optimization Strategy Based on Risk Diffusion Model in Emerging Industry Development
title_full_unstemmed Portfolio Optimization Strategy Based on Risk Diffusion Model in Emerging Industry Development
title_short Portfolio Optimization Strategy Based on Risk Diffusion Model in Emerging Industry Development
title_sort portfolio optimization strategy based on risk diffusion model in emerging industry development
topic emerging industries
risk diffusion model
optimal portfolio
optimization strategy
68q05
url https://doi.org/10.2478/amns-2024-0110
work_keys_str_mv AT nishuangqin portfoliooptimizationstrategybasedonriskdiffusionmodelinemergingindustrydevelopment
AT wangshen portfoliooptimizationstrategybasedonriskdiffusionmodelinemergingindustrydevelopment