Selezione degli investimenti e costo del denaro |
| |
Authors: | Massimiliano Ottaviani |
| |
Institution: | (1) Università di Venezia, Italy |
| |
Abstract: | Alcuni Autori ritengono che non abbia senso il costo del denaro, in uno schema lineare in cui si può ripartire il proprio
denaro in tutte e sole le operazioni che determinano il tasso di sconto. La conclusione di tali Autori appare azzardata: infatti
il loro risultato discende da una ipotesi estranea al modello lineare.
In questo lavoro io interpreto lo stesso modello, mostro che in esso ha senso il costo del denaro e propongo delle impostazioni
alternative.
An interesting economic problem consist in the search of the optimal allocation of one’s monetary resources in different financial
transactions. We often consider as “optimal” the allocation which makes the sum of the actual values of investiments the highest
possible, within the limits of all feasible operations. These values are reckoned according to the discount rates established
by the financial market.
This type of abstraction can be acceptable when we can split our capital into a number of operations that are on the whole
negligible, if compared with the movement of the market.
In case of a considerable turn over that may therefore affect the cost of money, it follows that we can’t determine an appropriate
discount rate before establishing the distribution policy; on the other hand we cannot determine the distribution policy before
defining the discount rate. As a border-line case we have that of an “enclosed” economy, where funds can be rationed into
all and only those operations which determine the cost of capital. That is the case of “pure capital rationing”.
To solve the problem of reckoning the cost of capital under pure capital rationing, some Authors have formulated the two dual
linear programs (1) and (2) and have deduced that f is the vector of market prices if and only if the optimal dual solution
is equal to f. As that happens if and only if f=0, Burton and Damon 2] consider their “main result a rigorous proof that
there does not exist a meaningful solution for the pure capital rationing problem” and conclude “that if there exist a solution
to the problem it is not to be found by the traditional linear programming formulations”.
On the contrary I demonstrate that f=0 is the only possible capital cost because of the hypotesis
=f, which is not related to the linear pattern and is not acceptable from an economic-financial point of view.
Then I demonstrate that the market prices are all and only those based on which the actual values of the operations considered
are 0. Nor was it right to expect more sophisticated conclusions of such an elementary scheme. Finally I express an alternative
linear formulation, where the dual optimal solutions are exactly the market prices.
Lavoro effettuato nell’ambito del G.N.A.F.A. del C.N.R. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|