Meer und Weltwirtschaft

Documenti ispano-genovesi dell'Archivio di Simancas

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Monograph

Identifikator:: 1777318467

URN:: urn:nbn:de:zbw-retromon-161768

Document type:: Monograph

Author:: Eckert, Max http://d-nb.info/gnd/115861319

Title:: Meer und Weltwirtschaft

Place of publication:: Berlin

Publisher:: Zentral-Verl.

Year of publication:: 1928

Scope:: 79 Seiten; graph. Darst., Kt.

Digitisation:: 2021

Collection:: Economics Books

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Document type:: Monograph

Structure type:: Chapter

Title:: III. Weltverkehr und Weltwirtschaft zur See

Collection:: Economics Books

Q2 VALUATION, DEPRECIATION AND THE RATE-BASE For each dollar invested the second year: a(x+d2+a(z+é)3+ --- + adollars | HE + 2)» — 1] dollars. For each dollar invested the nth year: a dollars. Therefore the total amount S, in the replacement fund at the end of the nth year, after deducting the $1 replacement requirement of that year: S. = Zatti (14+) t—14+---+(@+13) —1]—1 (1) S,= 42a = Dl —nf x (2) So =2l@ +a — @ +4) — mi] — 1. (3) There will be in the replacement fund for each dollar annually invested: At the end of the (# + 1)st year: Spi1 = Sn (1 +1) + na — 1. 4) At the end of the (n + 2)d year: Sez = S, (1 +12)2 + (ma — 1) (1 +14) + na — 1. (5) At the end of the (# + 3)d year: Seis =S, (1 +128 + (na — 1) (1 +7) + (na —1) (1414) +na—1, (6) and so on; and at the end of the mth year: Sm =S, (1 +3) + (na — 1) (1 +2)! + ma —1)(@ +24 os +e —1. (7) Substituting the value of S, and summarizing the series: a ; Nis ; Rossin Sr =5[( + dyn — (1 + Om — i (1 + 5)" — +d + Ea +r — dma — 1), ©) or \ <i

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