Guaranteed bounds for insurance premium rates for the insurance portfolio of factorizable claims

1999 ◽  
Vol 93 (4) ◽  
pp. 582-590
Author(s):  
S. Ya. Shorgin

2018 ◽  
Vol 4 (336) ◽  
pp. 7-22
Author(s):  
Anna Edyta Szymańska

One of the elements used in the process of tariff calculation of premiums in motor liability insurance is a bonus‑malus system. This systems takes into account the “claims ratio” by means of increases and discounts of the base premium called net premium rates. The aim of this work is to propose an estimation method of the net premium rates in the bonus‑malus classes of the motor third‑party liability insurance portfolio of individuals. The Bühlmann‑Straub model was used for the premium estimation. In order to improve the credibility of the estimated premium rates, a data correction in the classes with premium increase was preformed. An example of the application of the new method is presented based on the data obtained from one of the insurance companies operating on the Polish market, which has reserved the right to stay anonymous.



2016 ◽  
Vol 3 (322) ◽  
Author(s):  
Anna Szymańska

One of the basic variables used in the process of tariff calculation of premiums in motor hull liability insurance is the age of the insured. In this type of insurance offered by insurers operating on the Polish market, this variable is taken into account in the ratemaking by discounts and increases in assigned premium, known as the net premiums rates. The aim of this work is to propose a method of rate estimation of net premiums in the groups of the motor hull liability insurance portfolio of individuals created by the age of the insured. For the premium estimation one of the maximum likelihood models, called the Bühlmann-Straub model was used.







2008 ◽  
Vol 38 (2) ◽  
pp. 527-542 ◽  
Author(s):  
Li Lu ◽  
Angus Macdonald ◽  
Howard Waters

Evaluating the risk of disorders in long-term insurance often relies on rates of onset estimated from quite small epidemiological studies. These estimates can carry considerable uncertainty, hence so may functions of them, such as a premium rate. In the case of genetic disorders, where it may be required to demonstrate the reliability of genetic information as a risk factor, such uncertainty may be material. Epidemiological studies publish their results in a variety of forms and it is rarely easy to estimate the sampling distribution of a premium rate without access to the original data. We found a large study of breast and ovarian cancer that cited relative risks of breast and ovarian cancer onset, with confidence intervals, in 10-year age groups. We obtained critical illness premium rates and their sampling distributions by parametric bootstrapping, and investigated the effect of possible patterns of sampling correlations. We found that this study provides ample statistical evidence that known BRCA1 or BRCA2 mutations, or a typical family history of breast or ovarian cancer, are reliable risk factors, but the sampling covariances of the relative risks could be important at some ages and terms. Studies that cite only standard errors of parameter estimates erect a small but awkward barrier between the models they describe, and some important actuarial questions.



1984 ◽  
Vol 13 (1) ◽  
pp. 119-127 ◽  
Author(s):  
Daniel J. Dudek ◽  
P. Geoffrey Allen

Insurance rates for crop yield protection programs have traditionally been calculated from county average yields. Where grower acreages and yields are not homogeneous, this approach leads to higher premiums and payouts and greater incidence of adverse selection. With individual grower data a production weighted rate premium calculation method can be used which avoids these problems. Furthermore, the definition of rate classes is not constrained to county boundaries. The additional complication of technical change is addressed and one solution is provided. Results are presented for the cranberry industry.



2008 ◽  
Vol 38 (02) ◽  
pp. 527-542 ◽  
Author(s):  
Li Lu ◽  
Angus Macdonald ◽  
Howard Waters

Evaluating the risk of disorders in long-term insurance often relies on rates of onset estimated from quite small epidemiological studies. These estimates can carry considerable uncertainty, hence so may functions of them, such as a premium rate. In the case of genetic disorders, where it may be required to demonstrate the reliability of genetic information as a risk factor, such uncertainty may be material. Epidemiological studies publish their results in a variety of forms and it is rarely easy to estimate the sampling distribution of a premium rate without access to the original data. We found a large study of breast and ovarian cancer that cited relative risks of breast and ovarian cancer onset, with confidence intervals, in 10-year age groups. We obtained critical illness premium rates and their sampling distributions by parametric bootstrapping, and investigated the effect of possible patterns of sampling correlations. We found that this study provides ample statistical evidence that known BRCA1 or BRCA2 mutations, or a typical family history of breast or ovarian cancer, are reliable risk factors, but the sampling covariances of the relative risks could be important at some ages and terms. Studies that cite only standard errors of parameter estimates erect a small but awkward barrier between the models they describe, and some important actuarial questions.



ETIKONOMI ◽  
2015 ◽  
Vol 13 (2) ◽  
Author(s):  
Ella Patriana

The research aims to analyze the model calculations sharia insurance premium rates for savings products and not saving in connection with market segmentation and company profit. The method used in this research is descriptive qualitative. In accordance with the characteristics of the product, for a savings element that has a market segmentation leads to the individual, while that does not have a savings element, it would be appropriate is marketed to a collection or company. Companies with on investment high return using a relatively small debt. High rate of return allowed them to finance the majority of their funding needs with funds generated from internal activities.DOI: 10.15408/etk.v13i2.1885



2017 ◽  
Vol 14 (2) ◽  
pp. 128-138 ◽  
Author(s):  
Svitlana Berezina

The pension system existing in Ukraine does not correspond to the modern requirements of society and needs radical reforms in which the main focus should be on the introduction of a mandatory accumulative pension system. It is shown that accumulation of funds in accumulative pension system (APS) requires complex calculations. A model for accumulation of funds in the accumulative pension insurance system used in this paper makes it possible to determine a set of interrelated parameters – insurance premium rates, reasonable insurance periods, the desired rates of profitability, the required amount of savings, investment potential of accumulative pension system, etc. The amount of funds in accumulative pension insurance system depends not only on the basis of insurance (number of payers of insurance premiums), the amount of contributions (rate and object) and (primarily) on the term of beginning of payments of insurance premiums, the coefficient of profitability of invested funds and guarantees of their safety at all stages of functioning of the accumulative system. The analysis has shown that it is necessary: to cover all people employed in the economy with accumulative pension insurance; a rate of contributions should be determined not only by wages, but also by income; prior to the introduction of accumulative pension system – to create the necessary infrastructure, to develop a legal framework, to organize the management of accumulative funds, to solve the issues related to the protection of funds from the risks of losses. The beginning of introduction of the accumulative system should be postponed till 2020.



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