Pricing rules and arrow – debreu ambiguous valuation

Carregando...
Imagem de Miniatura
Autores
Araujo, Aloisio
Chateauneuf, Alain
Orientador
Co-orientadores
Tipo de documento
Artigo Científico
Data
2012
Título da Revista
ISSN da Revista
Título do Volume
Projetos de Pesquisa
Unidades Organizacionais
Fascículo
Resumo
This paper considers pricing rules of single-period securities markets with finitely many states. Our main result characterizes those pricing rules C that are super-replication prices of a frictionless and arbitrage-free incomplete asset structure with a bond. This characterization relies on the equivalence between the sets of frictionless securities and securities priced by C. The former captures securities without bid-ask spreads, while the second captures the class of securities where, if some of its delivers is replaced by a higher payoff, then the resulting security is characterized by a higher value priced by C. We also analyze the special case of pricing rules associated with securities markets admitting a structure of basic assets paying one in some event and nothing otherwise. In this case, we show that the pricing rule can be characterized in terms of capacities. This Arrow–Debreu ambiguous state price can be viewed as a generalization for incomplete markets of Arrow–Debreu state price valuation. Also, some interesting cases are given by pricing rules determined by an integral w.r.t. a risk-neutral capacity. For instance, incomplete markets of Arrow securities and a bond are revealed by a Choquet integral w.r.t. a special risk-neutral capacity.

Titulo de periódico
Economic Theory
Título de Livro
Idioma
Inglês
Notas
Membros da banca
Área do Conhecimento CNPQ
Ciências Sociais Aplicadas
Citação