The paper presents an innovative approach towards agricultural insurance underwriting and risk pricing through the development of an Extreme Machine Learning (ELM) Actuarial Intelligent Model. This model integrates di...The paper presents an innovative approach towards agricultural insurance underwriting and risk pricing through the development of an Extreme Machine Learning (ELM) Actuarial Intelligent Model. This model integrates diverse datasets, including climate change scenarios, crop types, farm sizes, and various risk factors, to automate underwriting decisions and estimate loss reserves in agricultural insurance. The study conducts extensive exploratory data analysis, model building, feature engineering, and validation to demonstrate the effectiveness of the proposed approach. Additionally, the paper discusses the application of robust tests, stress tests, and scenario tests to assess the model’s resilience and adaptability to changing market conditions. Overall, the research contributes to advancing actuarial science in agricultural insurance by leveraging advanced machine learning techniques for enhanced risk management and decision-making.展开更多
This paper deals with an extension of the one-period model in non-life insurance markets (cf. [1]) by using a transition probability matrix depending on some economic factors. We introduce a multi-period model and in ...This paper deals with an extension of the one-period model in non-life insurance markets (cf. [1]) by using a transition probability matrix depending on some economic factors. We introduce a multi-period model and in each period the solvency constraints will be updated. Moreover, the model has the inactive state including some uninsured population. Similar results on the existence of premium equilibrium and sensitivity analysis for this model are presented and illustrated by numerical results.展开更多
This study presents an estimation approach to non-life insurance claim counts relating to a specified time. The objective of this study is to estimate the parameters in non-life insurance claim counting process, inclu...This study presents an estimation approach to non-life insurance claim counts relating to a specified time. The objective of this study is to estimate the parameters in non-life insurance claim counting process, including the homogeneous Poisson process (HPP) and the non-homogeneous Poisson process (NHPP) with a bell-shaped intensity. We use the estimating function, the zero mean martingale (ZMM) as a procedure of parameter estimation in the insurance claim counting process. Then, Λ(t) , the compensator of is proposed for the number of claims in the time interval . We present situations through a simulation study of both processes on the time interval . Some examples of the situations in the simulation study are depicted by a sample path relating to its compensator Λ(t). In addition, an example of the claim counting process illustrates the result of the compensator estimate misspecification.展开更多
The aim of this study is to propose an estimation approach to non-life insurance claim counts related to the insurance claim counting process, including the non-homogeneous Poisson process (NHPP) with a bell-shaped in...The aim of this study is to propose an estimation approach to non-life insurance claim counts related to the insurance claim counting process, including the non-homogeneous Poisson process (NHPP) with a bell-shaped intensity and a beta-shaped intensity. The estimating function, such as the zero mean martingale (ZMM), is used as a procedure for parameter estimation of the insurance claim counting process, and the parameters of model claim intensity are estimated by the Bayesian method. Then,Λ(t), the compensator of N(t) is proposed for the number of claims in a time interval (0,t]. Given the process over the time interval (0,t]., the situations are presented through a simulation study and some examples of these situations are also depicted by a sample path relating N(t) to its compensatorΛ(t).展开更多
This paper firstly analyzes different payment methods of individual account and the pension replacement rate under the pension payment method.Results show that it will be more scientific and reasonable for the individ...This paper firstly analyzes different payment methods of individual account and the pension replacement rate under the pension payment method.Results show that it will be more scientific and reasonable for the individual account of new rural social pension insurance to adopt the actuarial model of payment according to proportion of income and periodic prestation at variable amount.The Guiding Opinions on New Rural Social Pension Insurance sets forth individual account should be paid at fixed amount,and the insured voluntarily selects payment level as per criteria set by the State.The monthly calculation and distribution amount of pension is the total amount of individual account divided by139.Therefore,it should start from continuation of policies and make adjustment of payment level in accordance with growth of per capita net income of rural residents.When condition permits,it is expected to realize transition to payment as per income proportion and periodic prestation at variable amount.展开更多
In this paper, the Automated Actuarial Loss Reserving Model is developed and extended using machine learning. The traditional actuarial reserving techniques are no longer compatible with the increase in technological ...In this paper, the Automated Actuarial Loss Reserving Model is developed and extended using machine learning. The traditional actuarial reserving techniques are no longer compatible with the increase in technological advancement currently at hand. As a result, the development of the alternative Artificial Intelligence Based Automated Actuarial Loss Reserving Methodology which captures diverse risk profiles for various policyholders through augmenting the Micro Finance services, Auto Insurance Services and Both Services lines of business on the same platform through the computation of the Comprehensive Automated Actuarial Loss Reserves (CAALR) has been implemented in this paper. The introduction of the four further types of actuarial loss reserves to those existing in the actuarial literature seems to significantly reduce lapse rates, reduce the reinsurance costs as well as expenses and outgo. As a matter of consequence, this helps to bring together a combination of new and existing policyholders in the insurance company. The frequency severity models have been extended in this paper using ten machine learning algorithms which ultimately leads to the derivation of the proposed machine learning-based actuarial loss reserving model which remarkably performed well when compared to the traditional chain ladder actuarial reserving method using simulated data.展开更多
The formulas of premiums and premium reserves of a kind of mixed whole life insurance were obtained by the methods of actuarial science. Then we take a typical policy of whole life insurance in present Chinese market ...The formulas of premiums and premium reserves of a kind of mixed whole life insurance were obtained by the methods of actuarial science. Then we take a typical policy of whole life insurance in present Chinese market as an example to analyze its expense design and predict its market prospects.展开更多
The actuaries always look for heavy-tailed distributions to model data relevant to business and actuarial risk issues.In this article,we introduce a new class of heavy-tailed distributions useful for modeling data in ...The actuaries always look for heavy-tailed distributions to model data relevant to business and actuarial risk issues.In this article,we introduce a new class of heavy-tailed distributions useful for modeling data in financial sciences.A specific sub-model form of our suggested family,named as a new extended heavy-tailed Weibull distribution is examined in detail.Some basic characterizations,including quantile function and raw moments have been derived.The estimates of the unknown parameters of the new model are obtained via the maximum likelihood estimation method.To judge the performance of the maximum likelihood estimators,a simulation analysis is performed in detail.Furthermore,some important actuarial measures such as value at risk and tail value at risk are also computed.A simulation study based on these actuarial measures is conducted to exhibit empirically that the proposed model is heavy-tailed.The usefulness of the proposed family is illustrated by means of an application to a heavy-tailed insurance loss data set.The practical application shows that the proposed model is more flexible and efficient than the other six competing models including(i)the two-parameter models Weibull,Lomax and Burr-XII distributions(ii)the three-parameter distributions Marshall-Olkin Weibull and exponentiated Weibull distributions,and(iii)a well-known four-parameter Kumaraswamy Weibull distribution.展开更多
The article is concentrated on the Slovak commercial insurance, commercial insurance market, non-life insurance, and international risks on the Slovak Republic. Since 1 May 2004, the Slovak insurance market has been p...The article is concentrated on the Slovak commercial insurance, commercial insurance market, non-life insurance, and international risks on the Slovak Republic. Since 1 May 2004, the Slovak insurance market has been part of the uniform European Union insurance market, which includes over 5,000 insurance companies. After Slovakia’s admission to the European Union, several legislative changes have been adopted in the area of commercial insurance industry, which also influenced non-life insurance and the insurance of international risks as part of non-life risks. The most recent act in the area of commercial insurance mentioned in the paper is the Act of the National Council SR No. 39/2015 Coll. on Insurance, in which there are legislative changes in life and also non-life insurance. Basic terms are defined and commented on in the first two chapters (Lowry, Rawlings, & Merkin, 2015). The nature of international risks as part of non-life risks is described in the second chapter. International risks are classified in the third chapter; international risks are subdivided in the paper into commercial or trade risks, political and economic risks, and special types of risks.展开更多
Based on the reality that 29 Chinese provinces have already implemented the policy allowing a couple to raise a second child if either parent is an only child, this paper provides an empirical study on the effect of t...Based on the reality that 29 Chinese provinces have already implemented the policy allowing a couple to raise a second child if either parent is an only child, this paper provides an empirical study on the effect of this policy on the financial status of the social pooling fund of basic pension insurance for urban employees. Our study suggests the followings. First, under the previous unchanged family planning policy, current deficits and cumulative deficits will occur in the social pooling fund in the year 2047 and 2063 respectively. Second, if lO% to 50% of qualified couples choose to raise a second child, the financial status of the social pooling fund will improve; relative to the previous unchanged family planning policy, the contribution ratio can decrease from 20% to the range between 18.06% and 19.57% without causing any changes to the original financial status of income and expenditure. Third, if the percentage of couples choosing to raise a second child rises to 60% to 100%, the contribution ratio can even decrease to the range between 16.55% and 17. 7% without causing any changes to the financial status as under the previous unchanged family planning policy. The above conclusions have all passed the sensitivity test. Therefore, the "two-child policy" for qualified couples is favorable to alleviating the payment pressures of pension insurance but the policy effectiveness is subject to fertility desire and the intensity of government implementation.展开更多
The insurance industry in the Slovak Republic has become an important dynamically developing area of economy.Insurance affects all the activities into the national economy,touching every company,business,citizen,socie...The insurance industry in the Slovak Republic has become an important dynamically developing area of economy.Insurance affects all the activities into the national economy,touching every company,business,citizen,society,and foreign countries.The Slovak insurance market is developed.As at 31.12.2017,there operated 21 commercial insurance companies on the Slovak commercial insurance market.The evolution of the market in life insurance in recent years is more dynamic than in the non-life insurance.展开更多
Using actuarial techniques, the study estimates the fired gap of pooling account and individual account respectively on on enterprise worker' s basic endowment insurance in Hebei province. And based on the estimation...Using actuarial techniques, the study estimates the fired gap of pooling account and individual account respectively on on enterprise worker' s basic endowment insurance in Hebei province. And based on the estimation, the study puts forward four policy suggestions: expand the coverage of the pension scheme; revised the number of months oft he annuities; increase the level of interest; improve financial support.展开更多
文摘The paper presents an innovative approach towards agricultural insurance underwriting and risk pricing through the development of an Extreme Machine Learning (ELM) Actuarial Intelligent Model. This model integrates diverse datasets, including climate change scenarios, crop types, farm sizes, and various risk factors, to automate underwriting decisions and estimate loss reserves in agricultural insurance. The study conducts extensive exploratory data analysis, model building, feature engineering, and validation to demonstrate the effectiveness of the proposed approach. Additionally, the paper discusses the application of robust tests, stress tests, and scenario tests to assess the model’s resilience and adaptability to changing market conditions. Overall, the research contributes to advancing actuarial science in agricultural insurance by leveraging advanced machine learning techniques for enhanced risk management and decision-making.
文摘This paper deals with an extension of the one-period model in non-life insurance markets (cf. [1]) by using a transition probability matrix depending on some economic factors. We introduce a multi-period model and in each period the solvency constraints will be updated. Moreover, the model has the inactive state including some uninsured population. Similar results on the existence of premium equilibrium and sensitivity analysis for this model are presented and illustrated by numerical results.
文摘This study presents an estimation approach to non-life insurance claim counts relating to a specified time. The objective of this study is to estimate the parameters in non-life insurance claim counting process, including the homogeneous Poisson process (HPP) and the non-homogeneous Poisson process (NHPP) with a bell-shaped intensity. We use the estimating function, the zero mean martingale (ZMM) as a procedure of parameter estimation in the insurance claim counting process. Then, Λ(t) , the compensator of is proposed for the number of claims in the time interval . We present situations through a simulation study of both processes on the time interval . Some examples of the situations in the simulation study are depicted by a sample path relating to its compensator Λ(t). In addition, an example of the claim counting process illustrates the result of the compensator estimate misspecification.
文摘The aim of this study is to propose an estimation approach to non-life insurance claim counts related to the insurance claim counting process, including the non-homogeneous Poisson process (NHPP) with a bell-shaped intensity and a beta-shaped intensity. The estimating function, such as the zero mean martingale (ZMM), is used as a procedure for parameter estimation of the insurance claim counting process, and the parameters of model claim intensity are estimated by the Bayesian method. Then,Λ(t), the compensator of N(t) is proposed for the number of claims in a time interval (0,t]. Given the process over the time interval (0,t]., the situations are presented through a simulation study and some examples of these situations are also depicted by a sample path relating N(t) to its compensatorΛ(t).
文摘This paper firstly analyzes different payment methods of individual account and the pension replacement rate under the pension payment method.Results show that it will be more scientific and reasonable for the individual account of new rural social pension insurance to adopt the actuarial model of payment according to proportion of income and periodic prestation at variable amount.The Guiding Opinions on New Rural Social Pension Insurance sets forth individual account should be paid at fixed amount,and the insured voluntarily selects payment level as per criteria set by the State.The monthly calculation and distribution amount of pension is the total amount of individual account divided by139.Therefore,it should start from continuation of policies and make adjustment of payment level in accordance with growth of per capita net income of rural residents.When condition permits,it is expected to realize transition to payment as per income proportion and periodic prestation at variable amount.
文摘In this paper, the Automated Actuarial Loss Reserving Model is developed and extended using machine learning. The traditional actuarial reserving techniques are no longer compatible with the increase in technological advancement currently at hand. As a result, the development of the alternative Artificial Intelligence Based Automated Actuarial Loss Reserving Methodology which captures diverse risk profiles for various policyholders through augmenting the Micro Finance services, Auto Insurance Services and Both Services lines of business on the same platform through the computation of the Comprehensive Automated Actuarial Loss Reserves (CAALR) has been implemented in this paper. The introduction of the four further types of actuarial loss reserves to those existing in the actuarial literature seems to significantly reduce lapse rates, reduce the reinsurance costs as well as expenses and outgo. As a matter of consequence, this helps to bring together a combination of new and existing policyholders in the insurance company. The frequency severity models have been extended in this paper using ten machine learning algorithms which ultimately leads to the derivation of the proposed machine learning-based actuarial loss reserving model which remarkably performed well when compared to the traditional chain ladder actuarial reserving method using simulated data.
文摘The formulas of premiums and premium reserves of a kind of mixed whole life insurance were obtained by the methods of actuarial science. Then we take a typical policy of whole life insurance in present Chinese market as an example to analyze its expense design and predict its market prospects.
文摘The actuaries always look for heavy-tailed distributions to model data relevant to business and actuarial risk issues.In this article,we introduce a new class of heavy-tailed distributions useful for modeling data in financial sciences.A specific sub-model form of our suggested family,named as a new extended heavy-tailed Weibull distribution is examined in detail.Some basic characterizations,including quantile function and raw moments have been derived.The estimates of the unknown parameters of the new model are obtained via the maximum likelihood estimation method.To judge the performance of the maximum likelihood estimators,a simulation analysis is performed in detail.Furthermore,some important actuarial measures such as value at risk and tail value at risk are also computed.A simulation study based on these actuarial measures is conducted to exhibit empirically that the proposed model is heavy-tailed.The usefulness of the proposed family is illustrated by means of an application to a heavy-tailed insurance loss data set.The practical application shows that the proposed model is more flexible and efficient than the other six competing models including(i)the two-parameter models Weibull,Lomax and Burr-XII distributions(ii)the three-parameter distributions Marshall-Olkin Weibull and exponentiated Weibull distributions,and(iii)a well-known four-parameter Kumaraswamy Weibull distribution.
文摘The article is concentrated on the Slovak commercial insurance, commercial insurance market, non-life insurance, and international risks on the Slovak Republic. Since 1 May 2004, the Slovak insurance market has been part of the uniform European Union insurance market, which includes over 5,000 insurance companies. After Slovakia’s admission to the European Union, several legislative changes have been adopted in the area of commercial insurance industry, which also influenced non-life insurance and the insurance of international risks as part of non-life risks. The most recent act in the area of commercial insurance mentioned in the paper is the Act of the National Council SR No. 39/2015 Coll. on Insurance, in which there are legislative changes in life and also non-life insurance. Basic terms are defined and commented on in the first two chapters (Lowry, Rawlings, & Merkin, 2015). The nature of international risks as part of non-life risks is described in the second chapter. International risks are classified in the third chapter; international risks are subdivided in the paper into commercial or trade risks, political and economic risks, and special types of risks.
基金sponsored by the National Social Sciences Foundation Program,An Evaluation of the Impact of China’s Family Planning Policy Adjustment on the Sustainability of the Social Security Fund and A Study of the Relevant Countermeasures(Grant No.15XRK005,chaired by:Zeng Yi)
文摘Based on the reality that 29 Chinese provinces have already implemented the policy allowing a couple to raise a second child if either parent is an only child, this paper provides an empirical study on the effect of this policy on the financial status of the social pooling fund of basic pension insurance for urban employees. Our study suggests the followings. First, under the previous unchanged family planning policy, current deficits and cumulative deficits will occur in the social pooling fund in the year 2047 and 2063 respectively. Second, if lO% to 50% of qualified couples choose to raise a second child, the financial status of the social pooling fund will improve; relative to the previous unchanged family planning policy, the contribution ratio can decrease from 20% to the range between 18.06% and 19.57% without causing any changes to the original financial status of income and expenditure. Third, if the percentage of couples choosing to raise a second child rises to 60% to 100%, the contribution ratio can even decrease to the range between 16.55% and 17. 7% without causing any changes to the financial status as under the previous unchanged family planning policy. The above conclusions have all passed the sensitivity test. Therefore, the "two-child policy" for qualified couples is favorable to alleviating the payment pressures of pension insurance but the policy effectiveness is subject to fertility desire and the intensity of government implementation.
文摘The insurance industry in the Slovak Republic has become an important dynamically developing area of economy.Insurance affects all the activities into the national economy,touching every company,business,citizen,society,and foreign countries.The Slovak insurance market is developed.As at 31.12.2017,there operated 21 commercial insurance companies on the Slovak commercial insurance market.The evolution of the market in life insurance in recent years is more dynamic than in the non-life insurance.
文摘Using actuarial techniques, the study estimates the fired gap of pooling account and individual account respectively on on enterprise worker' s basic endowment insurance in Hebei province. And based on the estimation, the study puts forward four policy suggestions: expand the coverage of the pension scheme; revised the number of months oft he annuities; increase the level of interest; improve financial support.