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A Determination of the Risk of Ruin

Published online by Cambridge University Press:  06 April 2009

Joseph D. Vinso
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Extract

Recently, there has been an increased interest in the role that bankruptcy or ruin plays in the valuation process. Several authors have discussed this subject (Gordon [17], Quirk [27], and Smith [35]) and some have constructed theoretical models attempting to show how the probability or risk of ruin introduces an element of risk into valuation (for example, Bierman [5], Borch [8], Tinsely [37]). The question of corporate survival is, therefore, central to the financial considerations of the firm. None, however, has attempted empirical tests of the role of such a probability in valuation.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 14 , Issue 1 , March 1979 , pp. 77 - 100
Copyright
Copyright © School of Business Administration, University of Washington 1979

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References

REFERENCES

[1]Altman, Edward I. “Corporate Bankruptcy Potential, Stockholder Returns, and Share Valuation.” Journal of Finance, Vol. 24, No. 5 (12 1969), pp. 887–904.CrossRefGoogle Scholar
[2]Bawa, Vijay S.. “Stochastic Theory of Business.” Unpublished memorandum. Bell Telephone Laboratories, Holmdel, N.J. (1972).Google Scholar
[3]Beard, R. E.; Pentikainen, T.; and Pesonen, E.. Risk Theory. London: Methuen and Co., Ltd. (1969).Google Scholar
[4]Berger, Gottfried. “Integration of the Normal Power Approximation.” ASTIN Bulletin, Vol. VII, Part 1 (12 1972), pp. 90–95.CrossRefGoogle Scholar
[5]Bierman, Harold Jr; Chopra, K., and Thomas, J.. “Ruin Considerations: Optimal Working Capital and Capital Structure.” Journal of Financial and Quantitative Analysis (03 1975).CrossRefGoogle Scholar
[6]Bierman, Harold Jr, and Thomas, L. Joseph. “Ruin Considerations and Debt Issuance.” Journal of Financial and Quantitative Analysis, Vol. 8, No. 1 (01 1972), pp. 1361–1378.CrossRefGoogle Scholar
[7]Bohman, H. “The Ruin Probability In a Special Case.” ASTIN Bulletin, Vol. VI, Part 1 (1970), pp. 66–69.Google Scholar
[8]Borch, Karl. “The Rescue of An Insurance Company After Ruin.” ASTIN Bulletin, Vol. I, Part 2 (1969), pp. 280–292.CrossRefGoogle Scholar
[9]Borch, Karl. “The Capital Structure of a Firm.” Swedish Journal of Economics (1968), pp. 1–13.Google Scholar
[10]Box, George E. P., and Jenkins, Gwelym M.. Time Series Analysis. San Francisco: Holden-Day (1970).Google Scholar
[11]Brimmer, Andrew F. “Public Utility Pricing, Debt Financing and Consumer Welfare.” Economic Review, Federal Reserve Bank of Richmond, Vol. 60 (07–08 1974), pp. 3–18.Google Scholar
[12]Carleton, Willard T.. “Linear Programming and Capital Budgeting Models: A New Interpretation.” Journal of Finance, Vol. XXIV, No. 5 (12 1969), pp. 825–883.CrossRefGoogle Scholar
[13]Cramer, Harold. “Collective Risk Theory.” Skandia Jubilee Volume. Stockholm: Nordiska Bokhandeln (1955).Google Scholar
[14]DeFinetti, B. “Su un' impostazione alternative della teoria colletiva del rischio.” Trans. XV Int. Congr. Act. 2 (1957), pp. 433–443.Google Scholar
[15]Gerber, Hans. “The Dilemna Between Dividends and Safety and a Generalization of the Lundberg-Cramer Formula.” Scandinavian Actuarial Journal (1974), pp. 46–57.Google Scholar
[16]Girod, Bernard A.; Vinso, Joseph; and Root, H. Paul. “Profit Comparisons and Product Mix in the Automobile Industry.” Working Paper No. 60, Bureau of Business Research, University of Michigan (1972).Google Scholar
[17]Gordon, Myron. “Towards a Theory of Financial Distress.” Journal of Finance, 26, No. 2 (05 1971), pp. 347–56.CrossRefGoogle Scholar
[18]Graham, Benjamin; Dodd, David L.; and Cottle, Sidney. Security Analysis, 4th ed.New York: McGraw-Hill (1962).Google Scholar
[19]Griffin, Paul A. “The Time Series Behavior of Quarterly Earnings: Preliminary Evidence.” Research Paper No. 273, Stanford University: Graduate School of Business (09 1976).Google Scholar
[20]Kahn, Paul Markham. “An Introduction to Collective Risk Theory and Its Application to Stop-Loss Reinsurance.” Transactions Society of Actuaries, Vol. 20 (1968), pp. 400–425.Google Scholar
[21]Kauzzi, Lauri, and Ojantakanen, Pertti. “Approximations of the Generalized Poisson Function.” ASTIN Bulletin, Vol. V, Part 2 (1971), pp. 213–226.Google Scholar
[22]Moody's, Public Utility Manual. New York: Moody's Investors Service, Inc. (1969).Google Scholar
[23]Myers, Stewart C., and Pogue, G A.. “A Programming Approach to Financial Management.” Journal of Finance, Vol. XXIX (05 1975).Google Scholar
[24]Parkerson, William. Synthetic OGIVES and the OGIVE Method (1963).Google Scholar
[25]Parzen, Emanuel. Stochastic Processes. San Francisco: Holden-Day (1962).Google Scholar
[26]Prabhu, N.U. “On the Ruin Problem of Collective Risk Theory.” Annals of Mathematical Statistics, Vol. 32 (1961), pp. 757–764.CrossRefGoogle Scholar
[27]Quirk, James P. “The Capital Structure of Firms and the Risk of Failure.” International Economic Review, Vol. 2, No. 2 (05 1961), pp. 210–228.CrossRefGoogle Scholar
[28]Santomero, Anthony M., and Vinso, Joseph D.. “Estimating the Probability of Failure for Commercial Banks and the Banking System.” Journal of Banking and Finance, Vol. 1, No. 2 (09 1977), pp. 185–205.CrossRefGoogle Scholar
[29]Saxen, Tryggive. “On the Probability of Ruin in the Collective Risk Theory for Insurance Enterprises with Only Negative Risk Sums.” Skandinavisk Aktuarietidskrift, Vol. 31 (1948), pp. 199–228.Google Scholar
[30]Seal, Hilary. “Simulation of the Ruin Potential of Non-Life Insurance Companies.” Transactions Society of Actuaries, Vol. XXI, Part 1 (1969), pp. 563–585.Google Scholar
[31]Seal, Hilary. Stochastic Theory of a Risk Business. New York: John Wiley and Sons, Inc. (1969).Google Scholar
[32]Segerdahl, C.O. “When Does Ruin Occur in the Collective Theory of Risk?” Skandinavisk Aktuarietidskrift, Vol. 38 (1955), pp. 22–36.Google Scholar
[33]Sinkey, Joseph F. “A Multivariate Statistical Analysis of the Characteristics of Problem Banks.” Journal of Finance (03 1975), pp. 21–36.CrossRefGoogle Scholar
[34]Sinkey, Joseph F. “Problems and Failed Banks, Bank Examinations, and Early Warning Systems: A Summary.” In Financial Crises: Institutions and Markets in a Fragile Environment, edited by Altman, E. and Sametz, A. (1977).Google Scholar
[35]Smith, Vernon L. “Default Risk, Scale and the Homemade Leverage Theorem.” American Economic Review, Vol. 62, No. 1 (03 1972), pp. 66–76.Google Scholar
[36]Steindl, Josef. Random Processes and the Growth of Firms. New York: Hafner Publishing Co. (1965).Google Scholar
[37]Tinsely, P. A. “Capital Structure, Precautionary Balances, and the Valuation of the Firm: The Problem of Financial Risk.” Journal of Financial and Quantitative Analysis, Vol. 5, No. 1 (03 1970), pp. 33–62.CrossRefGoogle Scholar
[38]Wilcox, Jarrod W. “The Gambler's Ruin Approach to Business Risk.” Sloan Management Review (Fall 1976), pp. 33–46.Google Scholar