The mathematics of Ponzi schemes
AbstractA first order linear differential equation is used to describe the dynamics of an investment fund that promises more than it can deliver, also known as a Ponzi scheme. The model is based on a promised, unrealistic interest rate; on the actual, realized nominal interest rate; on the rate at which new deposits are accumulated and on the withdrawal rate. Conditions on these parameters are given for the fund to be solvent or to collapse. The model is fitted to data available on Charles Ponzi's 1920 eponymous scheme and illustrated with a philanthropic version of the scheme.
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Bibliographic InfoArticle provided by Elsevier in its journal Mathematical Social Sciences.
Volume (Year): 58 (2009)
Issue (Month): 2 (September)
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Web page: http://www.elsevier.com/locate/inca/505565
Ponzi scheme Charles Ponzi Differential equation Investment Rate of return;
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- G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
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Sciences Po publications
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