RUIN PROBABILITY OF INSURANCE COMPANIES IN NIGERIA USING MODEL WITH ECONOMIC ENVIRONMENT: PRE AND POST CAPITALIZATION ANALYSIS
Keywords:
Reserve, Stochastic returns, fixed returns, Ruin probability, insurance, recapitalization.Abstract
The behavior of the reserve of insurance firms in Nigeria from 1996 to 2011 is investigated using ruin model with economic environment. The investment portfolios are classified according to the types of returns expected: Investments with fixed returns and investments with stochastic returns. Against the usual ways of monitoring the performances of insurance companies using regression and correlation, a risk reserve model in economic environment is used. The ruin probability is determined from the integro-differential equation for the model. The results show that there has been a positive growth in the reserve before recapitalization, though the rate of growth of the reserve after recapitalization is higher. The total probability of ruin shows that there is a drop in the probability of ruin after recapitalization. Also the ruin probabilities show that companies are more liable to get ruined from investment than from claims after the recapitalization against the converse before recapitalization.
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References
Momoh, O.A. and Ukpong, M.S., Corporate Governance and its effects on the Nigerian Insurance Industry, European Journal of Globalization and Development Research, 2013, 8, (1), 477-491.
Yusuf, H.O. and Yusuf, T., Nigeria Insurance Companies in an Age of Regulation, in 3rd ECPR Regulatory Governance Standing Group Conference on 'Regulation in an Age of Crisis'. 2010: University College Dublin. p. 1-10.
Ubom, B.U., Investment Portfolio of Insurance Firms and Economic Development in Nigeria, International Journal of Finance and Accounting, 2014, 3, (5), 286-294.
Akintola-Bello, O., Investment Behaviour of Insurance Companies in Nigeria, Savings and Develpment, 1986, 10, (4), 379-407.
Financial Sector Assesment Program Update: Nigeria, in Insurance Core Principles: Detailed Assessment of Observance. 2013, International Monetary Fund: Washington. p. 1-63.
Akotey, O.J., Sackey, G.F., Amoah, L., and Manso, R.F., The financial performance of life insurance companies in Ghana, Journal of Risk Finance, 2013, 14, (3), 286-302.
Malik, H., Determinants of Insurance Companies Profitability and Analysis of Insurance sector of pakistan, Academic Research International, 2011, 1, (3), 315-321.
Oseni, B.M. and Jolayemi, E.T., Ruin probabilities in the perturbed risk process with stochastic investment and forces of interest, Afrika Statistika, 2018, 13, (2), 1593-1608.
Puspita, D., Kolkiewicz, A., and Tan, K.S., Discrete Time Ruin Probability for Takaful (Islamic Insurance) with Investment and Qard-Hasan (Benevolent Loan) Activities, Journal of Risk and Financial Management, 2020, 13, (9), 211.
Cramér, H., On the Mathematical Theory of Risk, in Skandia Jubilee Volumen. 1930: Stockhom.
Cramér, H., Collective Risk Theory: A survey of the theory from the point of view of the theory of stochastic processes. , in Forsakringsaktiebolaget Skandia. Esselta, Centraltryckeriet,. 1955: Stockholm. p. 1855-1955.
Lundberg, F., Approximerad Framställning av Sannolikhetsfunktionen II. Aterförsäkring av Kollektivrisker. 1903, Almqvist and Wiksell: Uppsala.
Lundberg, F., Uber die theorie der rickversicherung, Ber VI Intern Kong Versich Wissens, 1909, 1, 877-948.
Paulsen, J., Risk theory in a stochastic economic environment, Stochastic processes and applications, 1993, 75, 135-148.
Paulsen, J. and Gjessing, H.K., Ruin theory with stochastic return on investments, Advance Applied Probability, 1997, 29, 965-985.
Cai, J., Ruin probabilities and penalty functions with stochastic rates of return., Stochastic processes and applications, 2004, 112, (1), 53-78.
Wu, Y. and Hu, X., Ruin Probability in Compound Poisson Process with Investment, Journal of Applied Mathematics, 2012, 2012, 7.