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T. Andino / Journal Business Science 2 (2021) 112 - 124
Facultad de Ciencias Administrativas. Universidad Laica Eloy Alfaro de Manabí. Manta, Ecuador.
https://revistas.uleam.edu.ec/index.php/business_science
Licencia de Creative Commons (http://creativecommons.org/licenses/by-nc-sa/4.0)
119
4. La demanda de dinero por motivo transacción en el modelo de Baumol-Tobin:
Una crítica sobre los modelos de demanda de dinero basados en la teórica cuantitativa ha sido
manifestada por Mies y Soto (2000, p.9). Para estos autores, estas teorías no toman en cuenta que los agentes
económicos intentan optimizar sus saldos reales de dinero.
La primera teoría de la demanda de dinero que formaliza el proceso de optimización es la teoría
conocida como el enfoque de existencias o enfoque de inventarios (Larraín y Sachs, 2000, p.591), propuesta
simultáneamente por William Baumol (Baumol, 1952) y James Tobin (Tobin, 1956). El modelo trata la
demanda de dinero por motivo transacción, a partir de un modelo de inventarios. Para estos autores, las
personas mantienen efectivo del mismo modo que las empresas conservan un stock de inventarios de bienes.
La primera opción que tiene el individuo, en un extremo, es tener todo su ingreso en dinero líquido
M desde el momento en que lo recibe. Esta posibilidad le brindaría comodidad pues el individuo no tendría
que acudir al banco en ningún momento (Mankiw, 1997), reduciendo a cero sus costos de transacción al no
desplazarse al banco a retirar efectivo o al no cambiar bonos por dinero.
No obstante, esta elección aumenta su costo de oportunidad en forma de intereses que deja de
percibir por los saldos ociosos de dinero que conserve mientras no gaste. Es decir, el individuo puede ganar
una tasa de interés mensual si coloca el dinero en una cuenta bancaria que remunere intereses, como una
cuenta de ahorro (Dornbusch et al., 2009), o si en vez de dinero mantiene otro activo como bonos.
En el otro extremo, supongamos que el individuo decide mantener su dinero en el banco o en bonos
y acude a retirar una fracción del monto total M para hacer los pagos de bienes y servicios. Si el individuo
retira una parte cada vez que necesita efectuar una compra maximizaría los intereses devengados, pero
aumentarían los costos de transacción para disponer de efectivo, por ejemplo, el tiempo que tiene que
dedicar para acudir al banco o los costos de transformación de bonos a efectivo (costos de corretaje).
El modelo determina la cantidad óptima de dinero que el individuo demanda en el punto donde se
minimizan los costos totales, la suma de los costos de ir al banco (si decide mantener poco de M para no
perder intereses) y el costo de perder intereses (si decide mantener un alto M).
El modelo funciona del siguiente modo. Suponer, un individuo que recibe un ingreso al comienzo
de un período , dígase un mes, y lo gasta o piensa gastar uniformemente a lo largo de dicho período.
¿Cuánto dinero debe tener para gastar la cantidad ? Si conserva al principio de todo el dinero para
gastarlo gradualmente entonces sus tenencias de dinero promedio durante el mes sería
, y al final terminan
siendo cero (Mankiw, 1997).
Otra alternativa sería acudir dos veces al banco, al principio retira
, gasta esa parte durante la
primera mitad del período, luego acude y retira la otra parte restante
que gasta hasta el final del mes. En
este caso las tenencias oscilan entre
y cero, y son en promedio
. El individuo, en comparación a la primera
opción, pierde menos intereses, pero tiene que ir dos veces al banco (Mankiw, 1997).
Finalmente, está la opción de acudir veces al banco. El individuo retira
. Gasta esa parte en la
1/-ésima parte del mes, y sus tenencias de dinero oscilan entre
y cero, y son en promedio de
. Luego,
el modelo permite llegar a la elección óptima de . El costo de ir una sola vez al banco es una cantidad
fija . El costo de ir veces es . El costo de tener el dinero es . El monto de intereses perdidos, dados
un valor de , es multiplicado por las tenencias medias de dinero
. El costo total es la suma de los
intereses perdidos y el costo de ir al banco, es decir =
+ .