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Stochastic Control of Corporate Investment when Output Affects Future Prices

Published online by Cambridge University Press:  06 April 2009

Terence C. Langetieg
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Abstract

The advance of the theory of contingent claim pricing has made it possible to model and analyze very complex financial claims. When the value of the firm can be represented as a contingent claim, then the firm's optimal financial policy can be determined with only a slight modification in standard solution techniques for contingent claims. In this paper, stochastic control theory is used to determine a dynamic investment policy for the valuemaximizing firm. The value of future, stochastic economic rents (i.e., the net present value of the firm), and the firm's optimal investment policy must reflect a rational reaction on behalf of its competitors. A computationally efficient methodology is presented for solving the simultaneous investment-valuation problem for an n-firm game.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 21 , Issue 3 , September 1986 , pp. 239 - 263
Copyright
Copyright © School of Business Administration, University of Washington 1986

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References

REFERENCES

[1]Arnold, L.Stochastic Differential Equations Theory and Applications. New York, NY: John Wiley & Sons (1974).Google Scholar
[2]Black, F., and Scholes, M.. “The Pricing of Options and Corporate Liabilities.” Review of Economics and Statistics, 81 (02 1973), 50–62.Google Scholar
[3]Bogue, M. C., and Roll, R.. “Capital Budgeting of Risky Projects with Imperfect Markets for Physical Capital.” Journal of Finance, 29 (05 1974), 601–613.Google Scholar
[4]Brennan, M. J., and Schwartz, E. S.. “Corporate Income Taxes, Valuation and the Problem of Optimal Capital Structure. Journal of Business, 51 (01 1978), 103–114.CrossRefGoogle Scholar
[5]Brennan, M. J., and Schwartz, E. S.. “Finite Difference Methods and Jump Processes Arising in the Pricing of Contingent Claims: A Synthesis.” Journal of Financial and Quantitative Analysis, 13 (09 1978), 461–474.CrossRefGoogle Scholar
[6]Brennan, M. J., and Schwartz, E. S. “Regulation and Corporate Investment Policy.” Journal of Finance, 37 (05 1982), 289–300.CrossRefGoogle Scholar
[7]Brennan, M. J., and Schwartz, E. S. “Optimal Financial Policy and Firm Valuation.” Journal of Finance, 39 (07 1984), 593–607.CrossRefGoogle Scholar
[8]Byrne, R. A.; Charnes, A.; Cooper, W. W.; and Kortanek, K.. “A Chance-Constrained Approach to Capital Budgeting with Portfolio Type Payback and Liquidity Constraints and Horizon Posture Controls.” Journal of Financial and Quantitative Analysis, 2 (12 1967), 339–369.CrossRefGoogle Scholar
[9]Carnahan, B.; Luther, H. A.; and Wilkes, J. O.. Applied Numerical Methods New York, NY: John Wiley & Sons (1969).Google Scholar
[10]Cox, J. C; Ingersoll, J. E.; and Ross, S. A.. “An Intertemporal General Equilibrium Model of Asset Prices.” Econometrica, 52 (03 1985), 363–384.Google Scholar
[11]Elton, E. J., and Gruber, M. J.. Finance as a Dynamic Process. Englewood Cliffs, NJ: Prentice-Hall (1975).Google Scholar
[12]Fershtman, C, and Kamien, M. I.. “Price Adjustment Speed and Dynamic Duopolistic Competitors.” Discussion Paper No. 6205, Kelloge Grad. School of Management, Northwestern Univ. (08 1984).Google Scholar
[13]Friedman, A.Stochastic Differential Equations and Applications, Vol. I. New York, NY: Academic Press (1975).Google Scholar
[14]Hamada, R. S. “Investment Decisions with a Mean-Variance Approach.” Quarterly Journal of Economics, 86 (11 1971), 667–683.CrossRefGoogle Scholar
[15]Haugen, R. A., and Senbet, L. W.. Agency Problems and Financial Contracting. Englewood Cliffs, NJ: Prentice Hall (1986).Google Scholar
[16]Ingersoll, J. E. “An Examination of Corporate Call Policies on Convertible Securities.” Journal of Finance, 32 (05 1977), 463–478.CrossRefGoogle Scholar
[17]Krouse, C. “Optimal Financing and Capital Structure Programs for the Firm.” Journal of Finance, 25 (12 1972), 1057–1071.CrossRefGoogle Scholar
[18]Kushner, H.Introduction of Stochastic Control. New York. NY: Rinehart & Winston (1971).Google Scholar
[19]Leland, H. E. “Theory of the Firm Facing Uncertain Demand.” American Economic Review, 62 (06 1972), 278–291.Google Scholar
[20]Lintner, J. “The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets.” Review of Economics and Statistics, 47 (02 1965), 13–37.CrossRefGoogle Scholar
[21]Litzenberger, R. H., and Budd, F. P.. “Corporate Investment Criteria and the Valuation of Risky Assets.” Journal of Financial and Quantitative Analysis, 5 (12 1970), 195–419.CrossRefGoogle Scholar
[22]Lucas, R. E., and Prescott, E. C.. “Investment under Uncertainty.” Econometrica, 39 (09 1971), 659–681.CrossRefGoogle Scholar
[23]Mallaris, A. G., and Brick, W. A.. Stochastic Methods in Economics and Finance. New York, NY: North-Holland (1982).Google Scholar
[24]Merton, R. S. “Optimal Consumption and Portfolio Rules in a Continuous Time Model.” Journal of Economic Review, 3 (12 1971), 373–413.Google Scholar
[25]Merton, R. S. “Theory of Rational Option Pricing.” Bell Journal of Economics and Management, 4 (Spring 1973), 141–183.Google Scholar
[29]Ross, S. A. “Return, Risk, and Arbitrage.” In Risk, Return, and Finance, ed. by Friend, I. and Bicksler, J. L.. Cambridge, MA: Ballinger Publ. (1977).Google Scholar
[30]Senchack, A. J. Jr, “The Firm's Optimal Financial Policies: Solution, Equilibrium, and Stability.” Journal of Financial and Quantitative Analysis, 10 (11 1975), 543–555.CrossRefGoogle Scholar
[31]Thompson, H. E. “Mathematical Programming, the Capital Asset Pricing Model and Capital Budgeting of Interrelated Projects.” Journal of Finance, 31 (03 1976), 125–131.CrossRefGoogle Scholar
[32]Treynor, J. L., and Black, F.. “Corporate Investment Decisions.” In Modern Development in Financial Management, ed. by Myers, S. C.. Hinsdale, IL: Dryden Press (1976), 310–327.Google Scholar
[33]Weingartner, H. M. “Capital Budgeting of Interrelated Project: Survey and Synthesis.” Management Science, 12 (03 1966), 485–516.CrossRefGoogle Scholar