Dynamic Programming Models and Algorithms for the Mutual Fund Cash Balance Problem

Published Online:https://doi.org/10.1287/mnsc.1100.1143

References

  • Almeida H., Campello M., Weisbach M. The cash flow sensitivity of cash. J. Finance (2004) 59(4):1777–1804CrossrefGoogle Scholar
  • Bensoussan A., Chutani A., Sethi S. P. Optimal cash management under uncertainty. Oper. Res. Lett. (2009) 37(6):425–429CrossrefGoogle Scholar
  • Cairns A.Interest Rate Models: An Introduction (2004) (Princeton University Press, Princeton, NJ) CrossrefGoogle Scholar
  • Constantinides G. Capital-market equilibrium with transaction costs. J. Political Econom. (1986) 94(4):842–862CrossrefGoogle Scholar
  • Edelen R. M. Investor flows and the assessed performance of open-end mutual funds. J. Financial Econom. (1999) 53(3):439–466CrossrefGoogle Scholar
  • Eppen G. D., Fama E. F. Cash balance and simple dynamic portfolio problems with proportional costs. Internat. Econom. Rev. (1969) 10(2):119–133CrossrefGoogle Scholar
  • Eppen G. D., Fama E. F. Three asset cash balance and dynamic portfolio problems. Management Sci. (1971) 17(5):311–319LinkGoogle Scholar
  • Faulkender M., Wang R. Corporate financial policy and the value of cash. J. Finance (2006) 61(4):1957–1990CrossrefGoogle Scholar
  • George A., Powell W. B. Adaptive stepsizes for recursive estimation with applications in approximate dynamic programming. Machine Learn. (2006) 65(1):167–198CrossrefGoogle Scholar
  • Golden B., Liberatore M., Lieberman C. Models and solution techniques for cash flow management. Comput. Oper. Res. (1979) 6(1):13–20CrossrefGoogle Scholar
  • Graves S., Kan A. R., Zipkin P.Handbooks in Operations Research and Management Science: Logistics of Production and Inventory (1993) (North-Holland, Amsterdam) Google Scholar
  • Halman N., Klabjan D., Mostagir M., Orlin J., Simchi-Levi D. A fully polynomial-time approximation scheme for single-item stochastic inventory control with discrete demand. Math. Oper. Res. (2009) 34(3):674–685LinkGoogle Scholar
  • Hinderer K., Waldmann K. Cash management in a randomly varying environment. Eur. J. Oper. Res. (2001) 130(18):468–485CrossrefGoogle Scholar
  • Jorjani S., Lamar B. Cash flow management network models with quantity discounting. Omega-Internat. J. Management Sci. (1994) 22(2):149–155CrossrefGoogle Scholar
  • Judd K.Numerical Methods in Economics (1998) (MIT Press, Cambridge, MA) Google Scholar
  • Kim C., Mauer D., Sherman A. The determinants of corporate liquidity: Theory and evidence. J. Financial Quant. Anal. (2001) 135(3):335–359CrossrefGoogle Scholar
  • Nascimento J. M., Powell W. B. An optimal approximate dynamic programming algorithm for the lagged asset acquisition problem. Math. Oper. Res. (2009) 34(1):210–237LinkGoogle Scholar
  • Nascimento J., Powell W. B., Ruszczyński A. Optimal approximate dynamic programming algorithms for a general class of storage problems. (2007) . Technical report, Princeton University, Princeton, NJGoogle Scholar
  • Penttinen M. Myopic and stationary solutions for stochastic cash balance problems. Eur. J. Oper. Res. (1991) 52(2):155–166CrossrefGoogle Scholar
  • Powell W. B.Approximate Dynamic Programming: Solving the Curses of Dimensionality (2007) (John Wiley & Sons, New York) CrossrefGoogle Scholar
  • Powell W. B., Ruszczyński A., Topaloglu H. Learning algorithms for separable approximations of stochastic optimization problems. Math. Oper. Res. (2004) 29(4):814–836LinkGoogle Scholar
  • Schmid O., Kontoghiorghes E. J., Rustem B., Siokos S. A multistage stochastic optimization model for the cash management problem. Computational Methods in Decision-Making Economics and Finance (2002) (Kluwer Academic, Dordrecht, The Netherlands) 49–75CrossrefGoogle Scholar
  • Sethi S. Note on modeling simple dynamic cash balance problems. J. Financial Quant. Anal. (1973) 8(4):685–687CrossrefGoogle Scholar
  • Sethi S., Thompson G. Applications of mathematical control theory to finance—Modeling simple dynamic cash balance problems. J. Financial Quant. Anal. (1970) 5(4–5):381–394CrossrefGoogle Scholar
  • Sethi S., Thompson G.Optimal Control Theory: Applications to Management Science and Economics (2000) 2nd ed.(Kluwer Academic, Norwell, MA) Google Scholar
  • Srinivasan, Kim V. Y. Deterministic cash flow management—State-of-the-art and research directions. Omega-Internat. J. Management Sci. (1986) 14(2):145–166CrossrefGoogle Scholar
  • Wermers R. Mutual fund performance: An empirical decomposition into stock-picking talent, style, transaction costs, and expenses. J. Finance (2000) 55(4):1655–1695CrossrefGoogle Scholar
  • Wright B., Williams J. The economic role of commodity storage. Econom. J. (1982) 92(367):596–614Google Scholar
  • Wright B., Williams J. The welfare effects of the introduction of storage. Quart. J. Econom. (1984) 99(1):169–192CrossrefGoogle Scholar
  • Yan X. The determinants and implications of mutual fund cash holdings: Theory and evidence. Financial Management (2006) 35(2):67–91CrossrefGoogle Scholar
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