Search results for "Quantitative Finance - General Finance"

showing 2 items of 12 documents

A quantum statistical approach to simplified stock markets

2009

We use standard perturbation techniques originally formulated in quantum (statistical) mechanics in the analysis of a toy model of a stock market which is given in terms of bosonic operators. In particular we discuss the probability of transition from a given value of the {\em portfolio} of a certain trader to a different one. This computation can also be carried out using some kind of {\em Feynman graphs} adapted to the present context.

Statistics and ProbabilityToy modelComputationCondensed Matter Physicsstock marketFOS: Economics and businesssymbols.namesakeQuantum probabilitysymbolsFeynman diagramPortfolioApplied mathematicsnumber operatorsStock marketQuantitative Finance - General FinanceGeneral Finance (q-fin.GN)QuantumMathematical economicsSettore MAT/07 - Fisica MatematicaStock (geology)Mathematics
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An operatorial approach to stock markets

2009

We propose and discuss some toy models of stock markets using the same operatorial approach adopted in quantum mechanics. Our models are suggested by the discrete nature of the number of shares and of the cash which are exchanged in a real market, and by the existence of conserved quantities, like the total number of shares or some linear combination of cash and shares. The same framework as the one used in the description of a gas of interacting bosons is adopted.

media_common.quotation_subjectGeneral Physics and AstronomyStatistical and Nonlinear Physicsoperatorial approachConserved quantitystock marketFOS: Economics and businessCashQuantitative Finance - General FinanceGeneral Finance (q-fin.GN)Linear combinationSettore MAT/07 - Fisica MatematicaMathematical economicsMathematical PhysicsStock (geology)media_commonBosonMathematicsJournal of Physics A: Mathematical and General
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