Documenti ispano-genovesi dell'Archivio di Simancas

Die Regelung der Zuckerbesteuerung auf statistischen Grundlagen

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Monograph

Identifikator:: 176352146X

URN:: urn:nbn:de:zbw-retromon-145495

Document type:: Monograph

Title:: Documenti ispano-genovesi dell'Archivio di Simancas

Place of publication:: Genova

Publisher:: Co' tipi del R.I. de' Sordo-Muti

Year of publication:: 1868

Scope:: 291 Seiten

Digitisation:: 2021

Collection:: Economics Books

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Document type:: Monograph

Structure type:: Chapter

Title:: Documento LXII. Avviso di un agente segreto, da Piacenza, circa le dette trame e le intelligenze che i Fieschi seguitano ad avere in Genova e col Duca di Piacenza. 1547, ... gennaio

Collection:: Economics Books

SEMAINE D'ÉTUDE SUR LE ROLE DE L ANALYSE ECONOMETRIQUE ETC. 469 Now K, ,/K, ,=1+1, /K, ,=1+x%x,_; Y,_/K,_,from (2.2, and (2.3). Since Y,_,/K, ,=1/p from (2.1), we conclude that the ratio of K,_; to K,_, is equal to 1+x,_,/¢. Taking loga- rithms in (2.6), we then find the following expression for the first difference of the logarithm of per capita consumption: (2.7) — A [log (C;/N,)] = € log (1 + x,_1/2) — log (1 + v,) . This equation is the only aspect of the model that will be used in the sequel. We shall consider a decision maker who is interested in two things: the savings ratio x,, which he controls, and the logarithmic rate of change of per capita consumption. which he does not control. The approach to be followed requi- res that the latter (uncontrolled) variable be expressed linearly in the former. Eq. (2.4) is nonlinear and it will therefore be linearized. Taking all logarithms as natural logarithms, we shall approximate the log of 1+x,_,/¢ by x,_,/p. We shall also approximate the log of 1+v, by v, (although this is not strictly necessary, since the expression does not involve the savings ratio). For the first term on the rirht we use- (2.8) But this is still nonlinear in x,_; and we will therefore apply the following (crude) approximation (3). We should expect that the savings ratio will be of the order of 15 to 25%, so that 1/(1-x,_,) is then of the order of 1.2 or 1.3. This range of ancertainty is not very sizable; moreover, we multiply 1/(x-x,_,) by x,- x,_,, which is generally close to zero, par- ticularly since we shall put a penalty on large values of ‘?) But see footnote 5 below for a more accurate approximation 71 Theil - pag. c J

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