Carfì, David (2011): Financial Lie groups.
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In this paper we see the evolution of a capitalized financial event e, with respect to a capitalization factor f, as the exponential map of a suitably defined Lie group G(f,e), supported by the half-space of capitalized financial events having the same sign of e. The Lie group G(f,e) depends on the capitalization factor f and on the event e itself. After the extension of the definition of exponential map of a Lie group, we shall eliminate the dependence on the financial event e, recognizing the presence of essentially one unique financial Lie semigroup, supported by the entire space of capitalized financial events, determined by the capitalization factor f.
|Item Type:||MPRA Paper|
|Original Title:||Financial Lie groups|
|Keywords:||Financial evolutions; Lie groups; exponential map; capitalization; financial event|
|Subjects:||F - International Economics > F3 - International Finance > F37 - International Finance Forecasting and Simulation: Models and Applications
D - Microeconomics > D1 - Household Behavior and Family Economics > D14 - Personal Finance
G - Financial Economics > G2 - Financial Institutions and Services > G21 - Banks; Depository Institutions; Micro Finance Institutions; Mortgages
|Depositing User:||DAVID CARFì|
|Date Deposited:||06. Jun 2011 20:15|
|Last Modified:||12. Feb 2013 17:28|
 D. Carfi, A. Ricciardello, An algorithm for payoff space in C1 games, AAPP - Physical, Mathematical, and Natural Sciences 88, 1 (2010), 1-19.
 D. Carfi, Fibrations of financial events, Proceedings of the International Geometry Center 2, 3 (2009) 7-18.
 D. Carfi, Payoff space in C1 games, Applied Sciences (APPS) 11 (2009) 1-16.
 D. Carfi, G. Caristi, Financial dynamical systems, Differential Geometry Dynamical System 10 (2008) 71-85.
 D. Carfi, Structure on the space of financial events, AAPP - Physical, Mathematical, and Natural Sciences 86, 2 (2008) 1-13.
 D. Carfi, Optimal boundaries for decisions, AAPP - Physical, Mathematical, and Natural Sciences 86, 1 (2008) 1-12.
 D. Carfi, The family of operators associated with a capitalization law, AAPP - Physical, Mathematical, and Natural Sciences 81-82 (2003-2004) 1-12.
 D. Carfi, Geometric aspects of a financial evolution, Atti della Reale Accademia delle Scienze di Torino 138 (2004) 143-151.