scholarly journals Transition Intensities for a model for Permanent Health Insurance

2002 ◽  
Vol 32 (2) ◽  
pp. 319-346 ◽  
Author(s):  
Isabel Maria Ferraz Cordeiro
Keyword(s):  
Health Insurance ◽  
Statistical Model ◽  
Linear Model ◽  
Generalized Linear Model ◽  
State Model ◽  
Multiple State ◽  
Multiple State Model ◽  
Tests Of Hypotheses

AbstractThe purpose of this paper is to obtain approximations to the transition intensities defined for a multiple state model for Permanent Health Insurance (PHI) which enables us to analyse PHI claims by cause of disability.The approximations to the transition intensities are obtained using a set of PHI data classified by 18 sickness categories and the graduations of the transition intensities defined for a simpler model proposed in Continuous Mortality Investigation Reports, 12 (1991).In order to derive the approximations to the recovery and mortality of the sick intensities for our model, we carry out tests of hypotheses based on the distributions of average sickness durations. The approximations to the sickness intensities are obtained by estimating a statistical model for the number of claim inceptions, which can be formulated as a generalized linear model.

scholarly journals Some Notes on the Average Duration of an Income Protection Claim

2007 ◽  
Vol 37 (01) ◽  
pp. 133-148 ◽  
Author(s):  
Isabel Maria Ferraz Cordeiro
Keyword(s):  
Health Insurance ◽  
Average Duration ◽  
Control Process ◽  
State Model ◽  
Insurance Company ◽  
The People ◽  
Multiple State ◽  
Multiple State Model

Cordeiro (2002a) has presented a multiple state model for Income Protection (formerly known as Permanent Health Insurance) which enables us to analyse claims by cause of disability. In that paper average claim durations conditioned on recovery have been calculated. Since, when an Income Protection claim is reported, the insurance company never knows whether it will end in recovery, in death or in expiry, to analyse only average claim durations conditioned on recovery could be misleading, specially for the people responsible for the claims control process. The main purpose of this paper is to calculate average claim durations conditioned on death and average claim durations not conditioned on any particular mode of claim termination. We calculate these claim durations for different deferred periods, causes of disability and ages at the beginning of sickness and we analyse the results obtained.

scholarly journals Some Notes on the Average Duration of an Income Protection Claim

2007 ◽  
Vol 37 (1) ◽  
pp. 133-148
Author(s):  
Isabel Maria Ferraz Cordeiro
Keyword(s):  
Health Insurance ◽  
Average Duration ◽  
Control Process ◽  
State Model ◽  
Insurance Company ◽  
The People ◽  
Multiple State ◽  
Multiple State Model

Cordeiro (2002a) has presented a multiple state model for Income Protection (formerly known as Permanent Health Insurance) which enables us to analyse claims by cause of disability. In that paper average claim durations conditioned on recovery have been calculated.Since, when an Income Protection claim is reported, the insurance company never knows whether it will end in recovery, in death or in expiry, to analyse only average claim durations conditioned on recovery could be misleading, specially for the people responsible for the claims control process.The main purpose of this paper is to calculate average claim durations conditioned on death and average claim durations not conditioned on any particular mode of claim termination. We calculate these claim durations for different deferred periods, causes of disability and ages at the beginning of sickness and we analyse the results obtained.

Some aspects of the modelling of permanent health insurance

1989 ◽  
Vol 116 (3) ◽  
pp. 611-624 ◽  
Author(s):  
H. R. Waters
Keyword(s):  
United Kingdom ◽  
Health Insurance ◽  
Traditional Approach ◽  
State Model ◽  
Society Business ◽  
Full Report ◽  
The United Kingdom ◽  
Multiple State ◽  
Interesting Discussion ◽  
Multiple State Model

1.1 The traditional approach in the United Kingdom to the analysis of permanent health insurance (PHI) data and to the rating of PHI business has been the Manchester Unity approach. This approach, which has its origins in Friendly Society business, is in some ways unsuitable for modern PHI business. (An interesting discussion on this subject can be found in Report No. 7 of the Continuous Mortality Investigation Bureau (C.M.I.R. 7, §4 (1984). For this reason the PHI Sub-Committee of the CMIB has recently been investigating the possibility of using a different approach, involving the use of a multiple state model, for analysing PHI data. A full report on the Sub-Committee's investigation will be published soon as C.M.I.R. 10.

scholarly journals Estimating Per Capita Expenses in Multiple State Models of Permanent Health Insurance

1999 ◽  
Vol 29 (2) ◽  
pp. 351-359
Author(s):  
Marie Kovářová
Keyword(s):  
Health Insurance ◽  
Detailed Analysis ◽  
Numerical Results ◽  
State Model ◽  
Simple Method ◽  
General Methodology ◽  
Multiple State ◽  
Per Capita ◽  
State Models ◽  
Multiple State Model

AbstractThe aim of this work is to present a method to compute the expected amount of annual claims in the health insurance. (A more detailed analysis of the method can be found in Kovářová (1998).) We will be especially concerned with the permanent health insurance and compare our numerical results with those computed and published for the permanent health insurance in C.M.I.R. (1991). At the same time we will give a general methodology applicable not only to the permanent health insurance but for other types of health insurance as well.The methods used today can be divided into three groups: the method of the decrement tables, the Manchester Unity method and the multiple state model. We would like to describe a simple method to compute from the data of the multiple state model the bases for the Manchester United and for the decrement tables methods.

Body mass index transitions during childhood: a multiple-state model approach

2018 ◽  
Vol 66 ◽  
pp. S274
Author(s):  
C. Moreira ◽  
L. Meira-Machado ◽  
M.J. Fonseca ◽  
A.C. Santos
Keyword(s):  
Body Mass Index ◽  
Body Mass ◽  
State Model ◽  
Multiple State ◽  
Multiple State Model ◽  
Model Approach

A multiple state model for the working-age disabled population using cross-sectional data

2020 ◽  
Vol 2020 (8) ◽  
pp. 700-717
Author(s):  
Poontavika Naka ◽  
María del Carmen Boado-Penas ◽  
Gauthier Lanot
Keyword(s):  
State Model ◽  
Cross Sectional ◽  
Working Age ◽  
Multiple State ◽  
Multiple State Model

A Semi-Markov Multiple State Model for Reverse Mortgage Terminations

2012 ◽  
Vol 6 (2) ◽  
pp. 235-257 ◽  
Author(s):  
Min Ji ◽  
Mary Hardy ◽  
Johnny Siu-Hang Li
Keyword(s):  
Care Facility ◽  
State Model ◽  
Home Equity ◽  
Reverse Mortgage ◽  
Term Care ◽  
Long Term Care Facility ◽  
Health Related ◽  
The Usa ◽  
Multiple State ◽  
Multiple State Model

AbstractReverse mortgages provide a mechanism for seniors to release the equity that has been built up in their home. At termination, the mortgagors are usually guaranteed to owe no more than the value of their property. The value of the reverse mortgage guarantee is heavily dependent on the maturity or termination date, which is uncertain. In this paper, we model reverse mortgage terminations using a semi-Markov multiple state model which incorporates three different modes of exit: death, entrance into a long-term care facility, and voluntary prepayment. We apply the proposed model specifically to develop the valuation formulas for roll-up mortgages in the UK and Home Equity Conversion Mortgages (HECMs) in the USA. We examine the significance of each mode of termination by valuing the contracts allowing progressively for each mode. On the basis of our model and assumptions, we find that both health related terminations and voluntary (non-health related) terminations significantly impact the contract value. In addition we analyze the premium structure for US reverse mortgage insurance, and demonstrate that premiums appear to be too high for some borrowers, and substantial cross-subsidies may result.

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