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Consumption and Saving

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Consumption and Saving * Intertemporal decision concerns the problem of allocating resources across time.
For example, deciding how much to consume today can have implications for how much will be available to consume tomorrow * Model economy consists of a representative household that lives for two periods (the entire duration of the economy). Each household has preferences defined over time-dated output (in the form of consumer goods and services). Let (c1, c2) denote an individual’s lifetime consumption profile, where c1 =‘current’ consumption and c2 = ‘future’ consumption. * Each household is endowed with an exogenous output profile (y1, y2), which constitutes a point in the commodity space. Since output is exogenous, the model constitutes an example of what is called an endowment economy, output (per capita GDP) is not produced; it is simply endowed to households by Nature. Output is also non-storable. * Robinson Crusoe: a representative household has preference for consumption today and tomorrow, goods are non-storable – those not used today will spoil. Nature endow household such that will receive y1 coconuts today and (is expected to yield) y2 coconuts tomorrow. Mathematically: * Choose (c1, c2) to maximize u(c1, c2) subject to: c1 ≤ y1 and c2 ≤ y2.
Choose cD1 = y1 and cD2 = y2. Therefore consume entire income in one period, this is assuming it is a closed economy, therefore must live by period-to-period basis, consumption can’t exceed income at any point. * An International Bond Market: introduce international financial market - one type of financial instrument—a risk-free private debt instrument: bond
In the model, only two goods: current consumption and future consumption, exchanged in one market (a market in which households exchange current consumption for future consumption—i.e., a financial market). The relevant price in

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