Multiple Decrement Models in Insurance, 2012 An Introduction Using R

?The book will serve as a guide to many actuarial concepts and statistical techniques in multiple decrement models and their application in calculation of premiums and reserves in life insurance products with riders and in pension and employee benefit plans as in these schemes, the benefit paid on termination of employment depends upon the several causes of termination. Multiple state models are discussed to accommodate the insurance products in which the payment of benefits or premiums is dependent on being in a given state or moving between a given pair of states at a given time, for example, disability income insurance model. The book also discusses stochastic models for interest rates and calculation of premiums for some products in this set up. The highlight of the book is usage of R software, freely available from public domain, for computations of various monetary functions involved in insurance business. R commands are given for all the computations.

Multiple Decrement Models.- Introduction.- Time to Decrement and Cause of Decrement Random Variables.- Multiple Decrement Table.- Associated Single Decrement Model.- Exercises.- Premiums and Reserves for Multiple Decrement Model.- Introduction.- Actuarial Present Value of Benefit.- Computation of Premiums.- Computation of Reserves.- Exercises.- Defined Benefit Pension Plan.- Introduction.- Actuarial Present Value of Pension Benefit.- Exercises.- Pension Funding.- Introduction.- Accrued Benefit Cost Method for an Individual.- Accrued Benefit Cost Method for a Group.- Aggregate Actuarial Cost Method.- Exercises.- Multi-State Transition Models For Cash Flows.- Introduction.- Markov Chain.- Actuarial Present Values of Cash Flows.- Markov Process Model.- Exercises.                       

Shailaja Deshmukh is a Professor of Statistics at the University of Pune, India. Her areas of interest are inference in stochastic processes, applied probability and analysis of microarray data. She has authored three books - Microarray Data: Statistical Analysis Using R, (jointly with Dr. Sudha Purohit), Statistics Using R (jointly with Dr. Sudha Purohit and Prof. Sharad Gore) and Actuarial Statistics: An Introduction Using R. She has a number of research publications in various peer-reviewed journals.