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Table 1 Characteristics of CMP models (I). F=fixed; V=Variable

From: A multidimensional review of the cash management problem

Reference

Model

Cash flow

Cost function

Baumol (1952)

Deterministic

Uniform

Linear (F)

Tobin (1956)

Deterministic

Uniform

Linear (F,V)

Miller and Orr (1966)

Bound-based

Random walk

Linear (F)

Eppen and Fama (1969)

Bound-based

Random walk

Linear (F,V)

Daellenbach (1971)

Bound-based

Non-stationary

Linear (F,V)

Stone (1972)

Bound-based with forecasts

Predictable

None

Constantinides and Richard (1978)

Bound-based

Diffusion

Linear (F,V)

Penttinen (1991)

Bound-based

Exponential

Linear (F,V)

Gormley and Meade (2007)

Bound-based with forecasts

Empirical

Linear (F,V)

Chen and Simchi-Levi (2009)

Bound-based

Density function

Linear (F,V)

Baccarin (2009)

Unconstrained

Diffusion

Polynomial

Bensoussan et al. (2009)

Unconstrained

Known value

Linear (V)

da Costa Moraes and Nagano (2014)

Bound-based

Normal

Linear (F,V)

Salas-Molina et al. (2018)

Bound-based

Data set

Linear (F,V)

Schroeder and Kacem (2020)

Unconstrained

Bounded

Linear (F,V)

Salas-Molina et al. (2020)

Unconstrained

Predictable

Linear (F,V)