Comparison of the Minimum Initial Capital of Investment Discrete Time Surplus Process in Case Separated Claims

Author:

Boonta Soontorn1,Kotsamran Kanoktip1

Affiliation:

1. Department of General Science, Faculty of Science and Engineering, Kasetsart University Chalermphrakiat Sakon Nakhon Province Campus, Muang, Sakon Nakhon, THAILAND

Abstract

In this paper, we suggest the bare minimum initial capital a firm providing insurance must hold to avoid going bankrupt. A case-separated investment discrete-time surplus process in motor insurance claims serves as the study's model. The 50th, 60th, 70th, and 80th percentiles are used as the dividing line between a claim's standard claim and large claim situations. We also discover a link between an insurance company's initial capital and the likelihood of ruin. The least squares regression method is utilized to calculate the minimum initial capital, and the simulation approach would be used to determine the ruin probability. The results indicate that the least initial capital is better provided by the 70th percentile than the 50th, 60th, and 80th percentiles, respectively.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

Economics and Econometrics,Finance,Business and International Management

Reference11 articles.

1. (text in Swedish) Lundberg, F. (1903). Approximerad Framställning av Sannolikhetsfunktionen II. Återförsäkering av Kollektivrisker. Almqvist & Wiksell, Uppsala.

2. Chan, W. and Zhang, L. (2006). Direct derivation of finite-time ruin probabilities in the discrete risk model with exponential or geometric claims. North American Actuarial Journal, Vol.10, 269-279.

3. Sattayatham, P., Sangaroon, K., and Klongdee, W. (2013). Ruin probability-based initial capital of the discrete-time surplus process Variance. Advancing the Science of Risk, Vol.7, 74-81.

4. Nyrhinen, H. (2001). Finite and infinite time ruin probability in a stochastic economic environment. Stochastic Processes and their Applications, Vol.92(2), 265-285.

5. Cai, J. and Dickson, D. (2004). Ruin probability with a Markov chain interest model. Mathematic and Economics, Vol.35, 513-525.

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