Forecasting Life Insurance Loss Reserves Using Time Series Analysis.

Authors

  • Angela Osei-Mainoo C. K. Tedam University of Technology and Applied Sciences
  • Daniel Logolam Atidebana C. K. Tedam University of Technology and Applied Sciences
  • Stephen Kwaku Nyarkoh C. K. Tedam University of Technology and Applied Sciences

DOI:

https://doi.org/10.47941/jar.2351

Keywords:

Claim, Benefit, Insurance, Reserve, Loss.

Abstract

Purpose: To determine an accurate predictive model that captures trends and seasonality in life insurance claims.

Methodology:  Time Series Analysis is used to forecast Secondary data on life insurance claims. The researcher aims at using a non-actuarial and accurate predictive model that captures trends and seasonality in life insurance claims over time. The dataset, comprising monthly claim amounts from May 2018 to March 2024 obtained from an insurance company.

Findings: Life insurance claims increases with time hence the insurance companies are to set up an appropriate reserve to cater for future occurrence. It is realized that ARIMA (2,1,1) is appropriate for modelling the life insurance claim amounts with a least Log Likelihood value of -766.99, AIC value of 1521.97, AICc value of 1522.6, and BIC value of 1530.91. An ACF plot and Ljung Box test on the residuals shows the residuals are free from autocorrelation and free from heteroscedasticity respectively and hence the model is a white noise and adequate for further analysis. The result of the twelve months forecast indicates an increase in the life insurance claims.

Unique contribution to theory, practice and policy: Managers in the insurance companies should focus on risk management and reserve allocation of fund in order to meet short term and long term claims settlement.

Downloads

Download data is not yet available.

Author Biographies

Angela Osei-Mainoo, C. K. Tedam University of Technology and Applied Sciences

Assistant Lecturer, Department of Statistics and Actuarial Science

Daniel Logolam Atidebana, C. K. Tedam University of Technology and Applied Sciences

Department of Statistics and Actuarial Science

References

Adu-Boahen, J. (2020). The future of actuarial science in Ghana: A review of technological advancements. Ghanaian Journal of Insurance Studies, 14(2), 33-45.

Avanzi B.,Taylor G.,Vu P.A. and Wang B.(2016). Stochastic Loss Reserving with Dependence: A flexible multivariate tweedie approach “Insurance, Mathematics and Economics.,71,63-78.

Clarke S.R(2023). A treatise on the of Insurance. Books on Demand.

Frees E. (2018) Loss data analytics arXiv,1-319.

Islam,M.R.,Liu,S.,Biddle ,R.,Razzak,I.Wang ,X.,Tilocca,P.,and Xu,G.,(2021) Discovering dynamic adverse behavior of policy holders in the life Insurance Industry.Technological Forecasting and Social Change,163,120486.

Kuo, K., (2019). Generative synthesis of insurance datasets. ArXiv preprint arXiv:1912.02423.

Kuo, W., Huang, Y., & Tsai, M. (2019). Machine learning applications in actuarial science: Trends and future outlooks. Journal of Insurance Technology, 29(1), 9-27.

Mantey, K., & Owusu, G. (2021). AI and machine learning in the insurance industry: Prospects for Ghana. Ghana Technology Review, 17(2), 55-71.

National Insurance Commission (NIC). (2022). Insurance Industry Report. Accra: NIC Publications.

Owusu-Ansah, K., & Nyame, J. (2020). The role of economic factors in life insurance reserving: Evidence from Ghana. West African Journal of Insurance Economics, 8(2), 47-62.

Sarpong, J. (2021). Regulatory challenges in Ghana's insurance sector: The way forward. African Journal of Insurance Policy, 13(1), 61-77

Taha A., Cosgrave B., Rashwan W., and Mckeever S. (2021). Insurance Reserve Prediction Opportunities and Challenges, “the proceeding of international conference on Computational Science and Computational Intelligence (CSCI),2021, Las Vegas, USA.DOI:10.214/trtz8.t14

Taha T.A.E.A., Ibrahim Y .and Sobri M.M. (2011) Forecasting General Insurance Loss Reserves in Egypt. African Journal of Business Management 5(22), 8961-8970.

Wachter, T.V., Song, J.and Manchester. (2011). Trends in employment and earnings of allowed and rejected applicants to social security disability insurance programme. American Economic Review,101(7),3308-3329.

Yousaf I. Jareno F. and Martinez-Serna, M.I. (2023). Extreme spillovers between Insurance tokens and Insurance Stocks:Evidence from the quantile Connectedness approach. Journal of Behavioral and Experimental Finance,39,100823.

Downloads

Published

2024-11-13

How to Cite

Osei-Mainoo, A., Atidebana, D. L., & Nyarkoh, S. K. (2024). Forecasting Life Insurance Loss Reserves Using Time Series Analysis. Journal of Actuarial Research, 2(2), 21–31. https://doi.org/10.47941/jar.2351

Issue

Section

Articles