The Expected Discounted Tax Payments on Dual Risk Model under a Dividend Threshold - Open Journal of Statistics

OJS > Vol.3 No.2, April 2013

The Expected Discounted Tax Payments on Dual Risk Model under a Dividend Threshold ()

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Download as PDF (Size: 244KB) PP. 136-144

DOI: 10.4236/ojs.2013.32015 2,918 Downloads 5,160 Views Citations

Author(s)

Zhang Liu, Aili Zhang, Canhua Li

Affiliation(s)

College of Sciences, Jiangxi Agricultural University, Nanchang, China.
School of Mathematics and Statistics, Nanjing Audit University, Nanjing, China.

ABSTRACT

In this paper, we consider the dual risk model in which periodic taxation are paid according to a loss-carry-forward system and dividends are paid under a threshold strategy. We give an analytical approach to derive the expression of gδ(u) (i.e. the Laplace transform of the first upper exit time). We discuss the expected discounted tax payments for this model and obtain its corresponding integro-differential equations. Finally, for Erlang (2) inter-innovation distribution, closedform expressions for the expected discounted tax payments are given.

KEYWORDS

Dual Risk Model; Expected Discounted Tax Payments; Dividend; Threshold Strategy

Share and Cite:

Z. Liu, A. Zhang and C. Li, "The Expected Discounted Tax Payments on Dual Risk Model under a Dividend Threshold," Open Journal of Statistics, Vol. 3 No. 2, 2013, pp. 136-144. doi: 10.4236/ojs.2013.32015.

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