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A network model of insurance company cash flow management

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Network Models and Associated Applications

Part of the book series: Mathematical Programming Studies ((MATHPROGRAMM,volume 15))

Abstract

Cash flow management activities of property-casualty insurance companies deal with both insurance underwriting operations and investment portfolio pursuits. For the greatest overall efficiency, these two dimensions require simultaneous consideration and coordination to effect the optimum strategy for each. The complexities involved in managing the joint cash flow are such that the judgmental methods or heuristic guidelines often employed are inadequate to investigate properly the various tradeoffs. Analytical techniques, such as various forms of general linear and nonlinear programming, have been proposed to aid in these investigations, but are of little operational value because of problem size. In other applications, network analysis has been able to overcome this type of difficulty. Hence, in this paper an application of a network model to the problem of managing the overall cash flow of a medium sized property-casualty insurance company is described. The model allows for coordination of the two dimensions, and an example situation is indicated.

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References

  1. A. Charnes, F. Glover, D. Karney, D. Klingman and J. Stutz, “Past, present and future development, computational efficiency, and practical use of large scale transportation and transshipment codes”, Computers and Operations Research 2 (1975) 53–65.

    Article  Google Scholar 

  2. R.L. Crum, D.D. Klingman and L.A. Tavis, “Implementation of large-scale financial planning models: Solution efficient transformations”, The Journal of Financial and Quantitative Analysis 1 (1979) 137–152.

    Article  Google Scholar 

  3. F. Glover, J. Hultz, D. Klingman and J. Stutz, “Generalized networks: A fundamental computer-based planning tool”, Management Science 12 (1979) 1209–1220.

    Google Scholar 

  4. F. Glover, J. Hultz and D. Klingman, “Improved computer-based planning techniques”, Interfaces 4 (1968) 16–25.

    Google Scholar 

  5. F. Glover, D. Karney and D. Klingman, “Implementation and computational comparisons of primal, dual and primal-dual computer codes for minimum cost network flow problems”, Networks 3 (1974) 191–212.

    Article  Google Scholar 

  6. F. Glover and D. Klingman, “New advances in the solution of large-scale network and network-related problems”, in: A. Prekopa, ed., Progress in operations research, Vol. 1, Colloquia Mathematica Societatis János Bolyai, 12 (North-Holland, Amsterdam, 1976) pp. 441–460.

    Google Scholar 

  7. F. Glover and D. Klingman, “Network application in industry and government”, Research Report CCS-247. Center for Cybernetic Studies, The University of Texas at Austin (September 1975).

    Google Scholar 

  8. F. Glover and J. Mulvey, “Equivalence of the 0–1 integer programming problem to discrete generalized and pure networks”, Operations Research, to appear.

    Google Scholar 

  9. A.E. Hofflander, Jr. and M. Drandell, “A linear programming model of profitability, capacity and regulation in insurance management”, Journal of Risk and Insurance 1 (1969) 41–50.

    Article  Google Scholar 

  10. D. R. Klock and S. M. Lee, “A note on decision models for insurers”, Journal of Risk and Insurance 3 (1974) 537–543.

    Article  Google Scholar 

  11. H.E. Thompson, John P. Matthews and R.C.L. Li, “Insurance exposure and investment risks: An analysis using chance-constrained programming”, Operations Research 5 (1974) 991–1007.

    Article  Google Scholar 

  12. H.M. Weingartner, Mathematical programming and the analysis of capital budgeting problems (Prentice-Hall, Englewood Cliffs, NJ, 1963).

    Google Scholar 

  13. J.F. Weston and E.F. Brigham, Managerial finance, Sixth Edition, (The Dryden Press, Hinsdale, IL, 1978).

    Google Scholar 

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D. Klingman J. M. Mulvey

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© 1981 The Mathematical Programming Society

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Crum, R.L., Nye, D.J. (1981). A network model of insurance company cash flow management. In: Klingman, D., Mulvey, J.M. (eds) Network Models and Associated Applications. Mathematical Programming Studies, vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0120939

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  • DOI: https://doi.org/10.1007/BFb0120939

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00807-8

  • Online ISBN: 978-3-642-00808-5

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