메뉴 건너뛰기




Volumn 89, Issue 1, 2006, Pages 1-36

"Itô's Lemma" and the bellman equation for poisson processes: An applied view

Author keywords

Bellman equation; Consumption optimization; Poisson process; Portfolio optimization; Stochastic differential equation

Indexed keywords


EID: 33751030263     PISSN: 09318658     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00712-006-0203-9     Document Type: Article
Times cited : (37)

References (35)
  • 1
    • 0043163662 scopus 로고
    • Optimum portfolio diversification in a general continuous-time model
    • Aase, K. K. (1984): "Optimum Portfolio Diversification in a General Continuous-time Model." Stochastic Processes and Their Applications 18: 81-98.
    • (1984) Stochastic Processes and Their Applications , vol.18 , pp. 81-98
    • Aase, K.K.1
  • 2
    • 0000367928 scopus 로고
    • A model of growth through creative destruction
    • Aghion, P., and Howitt, P. (1992): "A Model of Growth Through Creative Destruction." Econometrica 60(2): 323-351.
    • (1992) Econometrica , vol.60 , Issue.2 , pp. 323-351
    • Aghion, P.1    Howitt, P.2
  • 5
    • 85012688561 scopus 로고
    • Princeton: Princeton University Press
    • Bellman, R. (1957): Dynamic Programming. Princeton: Princeton University Press.
    • (1957) Dynamic Programming
    • Bellman, R.1
  • 6
    • 84962994478 scopus 로고
    • Optimum growth in an aggregative model of capital accumulation
    • Cass, D. (1965): "Optimum Growth in an Aggregative Model of Capital Accumulation." Review of Economic Studies 32: 233-240.
    • (1965) Review of Economic Studies , vol.32 , pp. 233-240
    • Cass, D.1
  • 8
    • 0003069552 scopus 로고
    • Optimal control of piecewise deterministic markov processes
    • edited by M. H. A. Davis and R. J. Elliott. New York: Gordon and Breach
    • Dempster, M. A. H. (1991): "Optimal Control of Piecewise Deterministic Markov Processes." In Applied Stochastic Analysis, edited by M. H. A. Davis and R. J. Elliott. New York: Gordon and Breach, pp. 303-325.
    • (1991) Applied Stochastic Analysis , pp. 303-325
    • Dempster, M.A.H.1
  • 11
    • 0038956074 scopus 로고    scopus 로고
    • Optimal consumption and portfolio in a jump diffusion market with proportional transaction costs
    • Framstad N. C., Øksendal, B., and Sulem, A. (2001): "Optimal Consumption and Portfolio in a Jump Diffusion Market with Proportional Transaction Costs." Journal of Mathematical Economics 35: 233-257.
    • (2001) Journal of Mathematical Economics , vol.35 , pp. 233-257
    • Framstad, N.C.1    Øksendal, B.2    Sulem, A.3
  • 12
    • 33751037693 scopus 로고
    • An elementary theory of stochastic differential equations driven by a poisson process
    • García, M. A., and Griego, R. J. (1994): "An Elementary Theory of Stochastic Differential Equations Driven by A Poisson Process." Communications in Statistics: Stochastic Models 10(2): 335-363.
    • (1994) Communications in Statistics: Stochastic Models , vol.10 , Issue.2 , pp. 335-363
    • García, M.A.1    Griego, R.J.2
  • 14
  • 15
    • 34548495689 scopus 로고
    • A contribution to the pure theory of money
    • Kiyotaki, N., and Wright, R. (1991): "A Contribution to the Pure Theory of Money." Journal of Economic Theory 53: 215-235.
    • (1991) Journal of Economic Theory , vol.53 , pp. 215-235
    • Kiyotaki, N.1    Wright, R.2
  • 19
    • 0000314740 scopus 로고
    • Lifetime portfolio selection under uncertainty: The continuous-time case
    • Merton, R. C. (1969): "Lifetime Portfolio Selection under Uncertainty: The Continuous-time Case." Review of Economics and Statistics 51: 247-257.
    • (1969) Review of Economics and Statistics , vol.51 , pp. 247-257
    • Merton, R.C.1
  • 20
    • 0011090049 scopus 로고
    • Optimum consumption and portfolio rules in a continuous-time model
    • Merton, R. C. (1971): "Optimum Consumption and Portfolio Rules in a Continuous-time Model." Journal of Economic Theory 3: 373-413.
    • (1971) Journal of Economic Theory , vol.3 , pp. 373-413
    • Merton, R.C.1
  • 22
    • 5544239166 scopus 로고    scopus 로고
    • Competitive search equilibrium
    • Moen, E. (1997): "Competitive Search Equilibrium." Journal of Political Economy 105: 385-411.
    • (1997) Journal of Political Economy , vol.105 , pp. 385-411
    • Moen, E.1
  • 23
    • 0028560106 scopus 로고
    • Risk-taking, global diversification, and growth
    • Obstfeld, M. (1994): "Risk-taking, Global Diversification, and Growth." The American Economic Review 84: 1310-1329.
    • (1994) The American Economic Review , vol.84 , pp. 1310-1329
    • Obstfeld, M.1
  • 26
    • 0010050491 scopus 로고
    • The effect of uncertainty on saving decisions
    • Sandmo, A. (1970): "The Effect of Uncertainty on Saving Decisions." Review of Economic Studies 37: 353-360.
    • (1970) Review of Economic Studies , vol.37 , pp. 353-360
    • Sandmo, A.1
  • 27
    • 33751051016 scopus 로고    scopus 로고
    • Controlled stochastic differential equations under poisson uncertainty and with unbounded utility
    • forthcoming
    • Sennewald, K. (2006): "Controlled Stochastic Differential Equations under Poisson Uncertainty and with Unbounded Utility." Journal of Economic Dynamics and Control (forthcoming).
    • (2006) Journal of Economic Dynamics and Control
    • Sennewald, K.1
  • 28
    • 33751030263 scopus 로고    scopus 로고
    • It̂'s lemma and the bellman equation for poisson processes: An applied view
    • Sennewald, K., and Walde, K. (2006): "It̂'s Lemma and the Bellman Equation for Poisson Processes: An Applied View." Revised version of Dresden Discussion Paper Series in Economics 04/05, available at www.waelde.com/publications. html.
    • (2006) Revised Version of Dresden Discussion Paper Series in Economics , vol.4 , Issue.5
    • Sennewald, K.1    Walde, K.2
  • 29
    • 14544282904 scopus 로고    scopus 로고
    • Stochastic growth under wiener and poisson uncertainty
    • Steger, T. M. (2005): "Stochastic Growth under Wiener and Poisson Uncertainty." Economics Letters 86: 311-316.
    • (2005) Economics Letters , vol.86 , pp. 311-316
    • Steger, T.M.1
  • 31
    • 0000879816 scopus 로고
    • A closed-form solution for a model of precautionary saving
    • Van der Ploeg, F. (1993): "A Closed-form Solution for a Model of Precautionary Saving." Review of Economic Studies 60: 385-395.
    • (1993) Review of Economic Studies , vol.60 , pp. 385-395
    • Van Der Ploeg, F.1
  • 32
    • 0009933940 scopus 로고    scopus 로고
    • A model of creative destruction with undiversifiable risk and optimising households
    • Wälde, K. (1999): "A Model of Creative Destruction with Undiversifiable Risk and Optimising Households." Economic Journal 109: 156-171.
    • (1999) Economic Journal , vol.109 , pp. 156-171
    • Wälde, K.1
  • 33
    • 0009940289 scopus 로고    scopus 로고
    • Optimal saving under poisson uncertainty
    • Walde, K. (1999): "Optimal Saving under Poisson Uncertainty." Journal of Economic Theory 87: 194-217.
    • (1999) Journal of Economic Theory , vol.87 , pp. 194-217
    • Walde, K.1
  • 34
  • 35
    • 84896504769 scopus 로고    scopus 로고
    • Applied intertemporal optimization
    • Wälde, K. (2006): "Applied Intertemporal Optimization." Lecture Notes, available at www.waelde.com/aio.
    • (2006) Lecture Notes
    • Wälde, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.