Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (1): 187-192.

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Taxation Problems in the Dual Model with Capital Injections

Liu Xiao1,2, Chen Zhenlong1   

  1. 1 School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018;
    2 School of Mathematics and Computer Science, Anhui Normal University, Anhui Wuhu 241003
  • Received:2015-07-11 Revised:2015-12-12 Online:2016-02-25 Published:2016-02-25
  • Supported by:

    Supported by the NSFC (11371321, 11201006, 11271020), the Philosophy and Social Science Planning Foundation of Anhui Province (AHSK11-12D128), the Natural Science Foundation of Education Department of Anhui Province (KJ2012ZD01), the Key Research Base for Humanities and Social Sciences of Zhejiang Provincial High Education Talents (Statistics) and the Research culture Funds of Anhui Normal University (2015xmpy14)

Abstract:

This paper studies the taxation problems in the dual model with capital injections. Assume that the taxes are paid according to a loss-carry-forward system. Let the surplus attain 0 avoiding ruin by capital injections when the surplus becomes negative. The explicit expression for the expected discounted tax payments minus the expected discounted costs of capital injections is obtained under the assumption that the gains are exponentially distributed.

Key words: Taxation, Dual model, Capital injection

CLC Number: 

  • O212.62
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