An Introduction to parametric and non-parametric models for bivariate positive insurance claim severity distributions

We present a real data set of claims amounts where costs related to damage are recorded separately from those related to medical expenses. Only claims with positive costs are considered here. Two approaches to density estimation are presented: a classical parametric and a semi-parametric method, based on transformation kernel density estimation. We explore the data set with standard univariate methods. We also propose ways to select the bandwidth and transformation parameters in the univariate case based on Bayesian methods. We indicate how to compare the results of alternative methods both looking at the shape of the overall density domain and exploring the density estimates in the right tail.

Did the cooperative start life as a Joint-Stock company? business law and cooperatives in Spain, 1869–1931

Studies of Spanish cooperatives date their spread from the Law on Agrarian Syndicates of 1906. But the first legislative appearance of cooperatives is an 1869 measure that permitted general incorporation for lending companies. The 1931 general law on cooperatives, which was the first act permitting the formation of cooperatives in any activity, reflects the gradual disappearance of the cooperative’s "business" characteristics. In this paper we trace the Spanish cooperative’s legal roots in business law and its connections to broader questions of the freedom of association, the formation of joint-stock enterprises, and the liability of investors in business and cooperative entities. Our account underscores the similarities of the organizational problems approach by cooperatives and business firms, while at the same time respecting the distinctive purposes cooperatives served.

How much risk is mitigated by LTC Insurance? A case study of the public system in Spain

We present a methodology that allows to calculate the impact of a given Long-Term Care (LTC) insurance protection system on the risk of incurring extremely large individual lifetime costs. Our proposed methodology is illustrated with a case study. According to our risk measure, the current Spanish public LTC system mitigates individual risk by more than 30% compared to the situation where no public protection were available. We show that our method can be used to compare risk reduction of alternative LTC insurance plans.

Misallocation of capital in a model of endogenous financial intermediation and insurance

In this paper we analyze productivity and welfare losses from capital misallocation in a general equilibrium model of occupational choice and endogenous financial intermediation. We study the effects of borrowing and lending, insurance, and risk sharing on the optimal allocation of resources. We find that financial markets together with general equilibrium effects have large impact on entrepreneurs' entry and firm-size decisions. Efficiency gains are increasing in the quality of financial markets, particularly in their ability to alleviate a financing constraint by providing insurance against idiosyncratic risk.

Mixture of bivariate Poisson regression models with an application to insurance

In a recent paper Bermúdez [2009] used bivariate Poisson regression models for ratemaking in car insurance, and included zero-inflated models to account for the excess of zeros and the overdispersion in the data set. In the present paper, we revisit this model in order to consider alternatives. We propose a 2-finite mixture of bivariate Poisson regression models to demonstrate that the overdispersion in the data requires more structure if it is to be taken into account, and that a simple zero-inflated bivariate Poisson model does not suffice. At the same time, we show that a finite mixture of bivariate Poisson regression models embraces zero-inflated bivariate Poisson regression models as a special case. Additionally, we describe a model in which the mixing proportions are dependent on covariates when modelling the way in which each individual belongs to a separate cluster. Finally, an EM algorithm is provided in order to ensure the models’ ease-of-fit. These models are applied to the same automobile insurance claims data set as used in Bermúdez [2009] and it is shown that the modelling of the data set can be improved considerably.

How to use the standard model with own data?

In this work discuss the use of the standard model for the calculation of the solvency capital requirement (SCR) when the company aims to use the specific parameters of the model on the basis of the experience of its portfolio. In particular, this analysis focuses on the formula presented in the latest quantitative impact study (2010 CEIOPS) for non-life underwriting premium and reserve risk. One of the keys of the standard model for premium and reserves risk is the correlation matrix between lines of business. In this work we present how the correlation matrix between lines of business could be estimated from a quantitative perspective, as well as the possibility of using a credibility model for the estimation of the matrix of correlation between lines of business that merge qualitative and quantitative perspective.

Price policies and Price dispersion in the private healthcare insurance industry: The Catalan case

We present an overlapping generations model that explains price dispersion among Catalonian healthcare insurance firms. The model shows that firms with different premium policies can coexist. Furthermore, if interest rates are low, firms that apply equal premium to all insureds can charge higher average prices than insurers that set premiums according to the risk of insured. Economic theory, health insurance, health economics.

White Paper on Private Health Insurance

This White Paper, which arises from commitments in the Action Programme for the New Millennium, sets out the Government’s policy objectives and proposals regarding the role of private health insurance in the overall healthcare system, the regulation of the health insurance market, and the corporate structure and status of the Voluntary Health Insurance Board Download the Report here

Private Medical Insurance in Ireland

Private Medical Insurance in Ireland On 17 January 2007 The Minister for Health and Children announced that she had appointed a three person group comprising Colm Barrington (chair), Seamus Creedon and Dorothea Dowling (the Group) to carry out a business appraisal of the private medical insurance (PMI) market in Ireland and to report back to her on the subject by 31 March 2007. The Ministerâ?Ts announcement included the following terms of reference for the Group: Click here to download PDF 351kb

Supplementary Report of the HIA to the Minister for Health, in accordance with Section 7E(1)(b) of the Health Insurance Acts, 1994-2009 (Redacted Version)

The purpose of this Supplementary Report is to advise on how the budgetary measures impact on the conclusions in relation to tax credits and stamp duty included in the Authority’s November 2011 Report. in doing so, we will assess the direct impacts and we will discuss some scenarios. However, the Authority’s advice in this area relies on projections of the health insurance market and, in light of the above, there is considerable uncertainty surrounding any projections of how claims inflation or the market size may develop, even in the short and medium terms. Supplementary Report of the HIA to the Minister for Health, in accordance with Section 7E(1)(b) of the Health Insurance Acts, 1994-2009 (Redacted Version) Click here to download PDF 3.2mb

Report of the HIA to the Minister for Health, in accordance with Section 7E(1)(b) of the Health Insurance Acts, 1994-2009 (Redacted Version)

The Authority has been asked by the Minister for Health to prepare a Report under Section 7E (1) (b) of the Health Insurance Acts 1994-2009 (“the Health Insurance Acts”). For the purposes of the legislation, the relevant period is 1 July 2010 to 30 June 2011. The basis of the Report is specified in the legislation   Click here to download PDF 7.3mb Click here to download the supplementary document PDF 3.2mb

Review of Measures to Reduce Costs in the Private Health Insurance Market 2013

Independent Report to the Minister for Health and Health Insurance Council Click here to download PDF 179KB  

Report to the Minister for Health from the Health Insurance Authority (Redacted) on an evaluation and analysis of returns for 1 July 2012 to 30 June 2013 including advice on risk equalisation credits

Report to the Minister for Health from the Health Insurance Authority (Redacted) on an evaluation and analysis of returns for 1 July 2012 to 30 June 2013 including advice on risk equalisation credits Click here to download PDF 11MB