Precautionary Demand for Cash and Perceived Risk of Electronic Payments

We have recently seen two conflicting trends in the use of cash. The share of e-payments in retail transactions is steadily increasing, but the same upward trend is true for the share of cash in circulation or at least the cash share remained unchanged. This paper shows the significance of perceived risk for consumers’ precautionary demand for cash after they make a decision to use e-payments. We use data from a study involving Polish consumers. The main conclusions are as follows: surveyed consumers perceive a level of risk associated with card and mobile payments and continue to carry cash for precautionary reasons. Factors such as the consumer’s mental state, lack of trust in e-payments, and attitude to risk influence the decision to maintain cash reserves, while the consumer’s income and age may be considered the main determinants of the value of the cash reserve. Consequently, the decision to use e-payments does not necessarily mean that the demand for cash drops to zero. A degree of difficult-to-reduce, autonomous demand for cash may exist independent of the traditionally studied determinants, in particular, those related to the transaction demand.

Equilibrium and -efficient fertility with increasing returns to population and endogenous mortality

A general equilibrium model that characterizes the gap between optimal and equilibrium fertility and investment in human capital is developed. The aggregate production function exhibits increasing returns to population arising from specialization, but households face a quantity–quality trade-off when choosing their fertility and how much education these children receive. We show that equilibrium fertility is too low and investment per child is too high, in contrast to a current planner who internalizes the externality of current fertility on the next generation's productivity. We next introduce mortality of young adults in the model and assume that households have a precautionary demand for children. Human capital investment lowers next generation mortality. This model endogenously generates a demographic transition but, since households do not internalize the negative effects of human capital on mortality, the equilibrium demographic transition takes place many years later than the efficient solution. We show that ${\rm {\cal A}}$-efficient fertility and human capital investment pair can switch; in high-mortality regimes, ${\rm {\cal A}}$-efficient fertility is lower than equilibrium fertility, and ${\rm {\cal A}}$-efficient human capital investment is higher than equilibrium investment. In the zero mortality regime, however, ${\rm {\cal A}}$-efficient fertility exceeds equilibrium fertility, and ${\rm {\cal A}}$-efficient human capital investment is lower than the equilibrium choice.

ENDOGENIZING CONSUMPTION DECISION IN THE FRENKEL–JOVANOVIC STOCHASTIC MODEL OF MONEY HOLDING

It is shown that the stochastic model of transaction and precautionary demand for money developed by Frenkel and Jovanovic can be made general even within the purview of their restricted treatment of the problem of estimation of optimal money holdings. While all the predecessor models on optimal money holdings assume the consumption decision to be an exogenous factor outside the realm of the model, the present treatment endogenizes the consumption decision by including an additional decision-dependent parameter in the very structure of the generalized model. In our model, it has been found that contrary to the Baumol–Tobin and Frenkel–Jovanovic models, the interest elasticity is positive when the consumption decisions are endogenous.