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Advances in Social Sciences Research Journal – Vol.8, No.3
Publication Date: March 25, 2021
DOI:10.14738/assrj.83.9882.
Li, B. (2021). Theoretical Research on the Impact of Country Risk on Insurance Demand. Advances in Social Sciences Research Journal,
8(3) 451-458.
Theoretical Research on the Impact of Country Risk on Insurance
Demand
Bofang Li
Insurance School, Central University of
Finance and Economics, Beijing, China
ABSTRACT
Derive the optimal premium expenditure of the insured from the
consumer expected utility maximization model. On this basis, the
concept of country risk is introduced, and derive the optimal premium
expenditure of the insured in the presence of country risk is. Then
compare the optimal premium expenditure of the insured when there
is country risk and when there is no country risk, and study the impact
of country risk on insurance demand.
Keywords; Expected utility, Country risk, Insurance Demand
INTRODUCTION
In the era of major changes, risks are constantly deepening and alienating, which have a profound
impact on the international situation, economic society and people's lives. In recent years, under
the influence of global risk events such as stagnant global economic growth, geopolitical tensions,
ecological and climate crises, international trade disputes, and the new crown pneumonia
epidemic, the risks faced by countries and people around the world have gradually become
frequent, rapid and sudden. With other characteristics, the perception, capture and management
of risks has become more difficult than ever. Under the conditions of very close global economic
and trade cooperation, risk events such as trade policies, debt crises, and regime changes in
important economies will not only change their own national risk environment, but will also affect
their negative effects spread to other countries across borders under the influence of economic
globalization. Due to the differences in the political and economic systems and policies of
countries around the world, the overall macro risk environment of a country, which is formed by
the convergence of economic, financial and political risk factors, is quite different. Therefore, in
the face of the turbulent international situation, the complex and sensitive geo-environment and
the difficult recovery of the global economy, countries around the world need to deeply
understand the changes, influencing factors and development trends of national risks, formulate a
thorough national risk management plan, establish a complete national risk protection system,
and study policies and policies to deal with changes in the risk environment of other countries, so
as to face crises and changes in a strategic way.
In a complete national risk protection system, commercial insurance is an indispensable key
element. The unique nature of insurance gives it the dual characteristics of providing risk
protection and promoting the development of the real economy. It has a key role in economic and
social development that cannot be replaced by other financial formats. Therefore, increasing the
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Li, B. (20210. Theoretical Research on the Impact of Country Risk on Insurance Demand. Advances in Social Sciences Research Journal, 8(3) 451-458.
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URL: http://dx.doi.org/10.14738/assrj.83.9882
demand for insurance in the market, expanding the capital scale of the insurance industry, and
giving play to the scale effect of insurance capital can enable the insurance industry to more
effectively provide stable, comprehensive and high-quality risk protection and financial support
for economic and social development. At the same time, it is also an indispensable and important
magic weapon for all countries in the world to cope with changes in current risks and resolve risk
challenges.
After a long period of theoretical research and practical exploration, risk and insurance-related
theories have been fully demonstrated and improved, and the research on the factors affecting the
demand for life insurance has formed a basic research framework and logic. Risk is the
prerequisite for the existence of insurance. Insurance has the ability to resist and prevent risks.
The nature, volume and degree of influence of risks determine the scope, strength and demand
level of insurance. Therefore, the research on risk is the foundation of insurance theory and has
the important value of expanding the boundary between risk and insurance theory.
In the academic research on the influencing factors and effects of insurance demand, scholars
mainly analyze the insurance consumption decisions of individuals or families from a micro
perspective. The research content of risk on the demand for insurance mainly focuses on the
insurable risk, and there are few researches on the demand for insurance that take macro- uninsurable risk as the influence factor. In this context, this article is based on risk management
theory and insurance theory research, with insurance demand as the core, and studies the impact
of country risk on insurance demand.
Country risk is a risk indicator that measures changes in a country's comprehensive risk
environment based on changes in the country's overall economic risk environment, financial risk
environment, and political risk environment, and by monitoring changes in corresponding
indicators and data. Changes in the national risk index will also affect the country’s economic,
financial, and political environments, which in turn will have an impact on the demand for life
insurance. For external, macroscopic, and non-insurable risk indicators such as country risk, there
is already a relevant theoretical research foundation in the world. This article will continue to use
the existing mature research framework to study the impact of country risk on life insurance
demand in terms of theoretical models.
Since the 1980s, the concept of background risk has been gradually cited and widely studied.
Corresponding to the concept of insurable risk, background risk is generally used to represent
exogenous uninsurable risk. On the macro level, the background risks in the insurance market
include public health events, some natural disasters, political and economic policy uncertainties,
etc.; In the mid-range aspect, it includes information asymmetry in the market, market premium
scale structure risk, and insurance industry reputation risk, etc.; At the micro level, it includes the
speculative risks and crime risks of consumers and their families.
In the past few decades, many scholars at home and abroad have carried out research on
background risk theory, and there has been a certain foundation for research on how background
risk affects insurance decisions about insurable risks and household insurance needs. H. Doherty
and H. Schlesinger (1983) studied the influence of background risk on the insurance decision of
arbitrary risk aversion utility function, and discussed the optimal insurance problem under
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Advances in Social Sciences Research Journal (ASSRJ) Vol. 8, Issue 3, March-2021
background risk conditions. It is an international research on the relationship between
background risk and insurance demand. Earlier academic papers. The country risk studied in this
paper belongs to the research category of background risk in theory, and the research framework
of background risk will be used in theoretical research. The model will be established on the basis
of consumer expected utility theory, background risk theory and risk management theory, and will
be analyzed according to the actual situation of the research objects in this article. The model will
be based on the optimization of the expected utility of the micro-agents. It is necessary to make
assumptions and descriptions about the expected utility function and constraint conditions of the
micro-agents in the economy.
CONSUMER EXPECTED UTILITY THEORY MODEL
Assumptions
In the theoretical model of consumer expected utility in this article, there are the following
assumptions:
a. For consumers, they only face two risks: insurable risk and non-insurable risk;
b. Country risk and insurable risk are independent of each other;
c. The loss events of consumers are only two states: "loss" and "no loss";
d. Under the condition that there is no insurable loss, the insurance payment is zero.
Variable definitions
In the model for optimizing consumers' expected utility, we introduce the following variables:
U(∙)—The utility function of the insured,U!
(∙)>0,U!
′(∙)<0;
'—The expectation of the insured;
(—The initial wealth level of the insured;
)—Loss scale of insurable risk,) ≤ (;
+—Probability of insurable loss, +) is the expected loss value;
,—Insurance rate,, ≥ 0,,) is the compensation paid by the insurer after the loss
occurs;
.—load factor of insurance premium,. ≥ 0,(1 + m)+<1;
2—Insurance premium,2 = (1 + .),+),insurance premium 2 is proportional to the
expected loss value +)。
Optimal premium conditions for the insured with no country risk
The variables are introduced into the model for calculation and derivation, and the formula for the
optimal premium payment of the insured based on the expected utility theory is: "#$
% +'5[( − 2 − (1 − ,))] + (1 − +)'5(( − 2) (2.1)
If . = 0,the optimal value of the insurance rate , = 1,if . > 0,the optimal value of the
insurance rate ,<1。
According to the research of Wenan Fei et al. (2008), the first-order necessary conditions for
achieving the optimal insurance rate is:
[( − 2 − (1 − ,))]5′[+(1 − + − .+))] − [+(1 − + − .+ + .))]5′(( − 2) = 0 (2.2)