Estimated value of insurance premium due to Citarum River flood by using Bayesian method

Indonesian Operations Research Association - International Conference on Operations Research 2017

Sukono^1 ; Aisah, I.^1 ; Tampubolon, Y.R.H.^1 ; Napitupulu, H.^1 ; Supian, S.^1 ; Subiyanto^2 ; Sidi, P.^3

Department of Mathematics, Faculty of Mathematics and Natuaral Sciences, Universitas Padjadjaran, Indonesia^1

Department of Marine Science, Faculty of Fishery and Marine Science, Universitas Padjadjaran, Indonesia^2

Department of Mathematics, Faculty of Mathematics and Natuaral Sciences, Universitas Terbuka, Indonesia^3

关键词: Bayesian methods;    Estimation of distributions;    Gamma distribution;    Insurance premiums;    Observation data;    Pareto distributions;    Premium determination;    Probability of damages;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/332/1/012047/pdf
DOI  :  10.1088/1757-899X/332/1/012047

来源: IOP

【 摘 要 】

Citarum river flood in South Bandung, West Java Indonesia, often happens every year. It causes property damage, producing economic loss. The risk of loss can be mitigated by following the flood insurance program. In this paper, we discussed about the estimated value of insurance premiums due to Citarum river flood by Bayesian method. It is assumed that the risk data for flood losses follows the Pareto distribution with the right fat-tail. The estimation of distribution model parameters is done by using Bayesian method. First, parameter estimation is done with assumption that prior comes from Gamma distribution family, while observation data follow Pareto distribution. Second, flood loss data is simulated based on the probability of damage in each flood affected area. The result of the analysis shows that the estimated premium value of insurance based on pure premium principle is as follows: for the loss value of IDR 629.65 million of premium IDR 338.63 million; for a loss of IDR 584.30 million of its premium IDR 314.24 million; and the loss value of IDR 574.53 million of its premium IDR 308.95 million. The premium value estimator can be used as neither a reference in the decision of reasonable premium determination, so as not to incriminate the insured, nor it result in loss of the insurer.