Financial Lie groups
AbstractIn 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.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 31303.
Date of creation: 2011
Date of revision:
Financial evolutions; Lie groups; exponential map; capitalization; financial event;
Find related papers by JEL classification:
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- D14 - Microeconomics - - Household Behavior - - - Personal Finance
- G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-06-18 (All new papers)
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- Carfì, David, 2009. "Fibrations of financial events," MPRA Paper 31307, University Library of Munich, Germany.
- Carfì, David & Ricciardello, Angela & Agreste, Santa, 2011. "An Algorithm for payoff space in C1 parametric games," MPRA Paper 32099, University Library of Munich, Germany.
- David CARFI & Caterina FICI, 2012.
"The Government-Taxpayer Game,"
Theoretical and Practical Research in Economic Fields,
ASERS Publishing, vol. 0(1), pages 13-25, June.
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