Optimal consumption paths

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorChandler, Seth-
Data de aceite: dc.date.accessioned2019-08-21T19:20:36Z-
Data de disponibilização: dc.date.available2019-08-21T19:20:36Z-
Data de envio: dc.date.issued2008-
Data de envio: dc.date.issued2009-02-26-
Data de envio: dc.date.issued2009-02-26-
Data de envio: dc.date.issued2009-02-26-
Data de envio: dc.date.issued2008-11-20-
Fonte completa do material: dc.identifierhttp://objetoseducacionais2.mec.gov.br/handle/mec/9142-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/489818-
Descrição: dc.descriptionExponential function, Lagrangian, interest rate, investments, future consumption, present consumption-
Descrição: dc.descriptionThis Demonstration shows the optimal consumption path created by specification of an initial level of assets and a terminal level of assets. The user may specify the interest rate the consumer could earn on investments, the rate at which they discount future consumption versus present consumption, and their wage trajectory (a starting point and a rate of change). Red areas of the consumption graph correspond to dissavings. Green areas correspond to savings-
Descrição: dc.descriptionComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática-
Idioma: dc.languageen-
Publicador: dc.publisherWolfram Demonstration Project-
Relação: dc.relationOptimalConsumptionPaths.nbp-
Direitos: dc.rightsDemonstration freeware using Mathematica Player-
???dc.source???: dc.sourcehttp://demonstrations.wolfram.com/OptimalConsumptionPaths/-
Palavras-chave: dc.subjectBusiness-
Palavras-chave: dc.subjectMicroeconomics-
Palavras-chave: dc.subjectSocial Sciences-
Palavras-chave: dc.subjectEducação Superior::Ciências Exatas e da Terra::Matemática::Matemática Aplicada-
Título: dc.titleOptimal consumption paths-
???dc.description2???: dc.description2This Demonstration is premised on the theory of optimal control. Form a Hamiltonian e^(-st) Log[u[t]] + (-u[t] + w[t] + r x[t])y[t], where u represents consumption (the control variable), w represents wages, r represents the interest rate, x represents the level of assets (the state variable), and y is a Lagrangian. Then take the variational derivative of the Hamiltonian with respect to the control variable and set it equal to zero, the variational derivative of the Hamiltonian with respect to the state variable and set it equal to the derivative of the Lagrangian, and lastly set the Lagrangian function at the terminal time to be equal to zero. With some complicated calculus and algebra facilitated by Mathematica and its VariationalMethods Package, the plotted expressions for optimal asset and consumption trajectories shown in this Demonstration are created. This Demonstration does not include as a complication a requirement that assets be positive at all times-
???dc.description3???: dc.description3This demonstration needs the "MathematicaPlayer.exe" to run. Found in http://objetoseducacionais2.mec.gov.br/handle/mec/4737-
Aparece nas coleções:Repositório Institucional - MEC BIOE

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