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Economic Diversification and Growth

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Annexes<br />

Annex 5: Key Features of the Ug<strong>and</strong>a Overlapping Generations (OLG) Model<br />

Basic features:<br />

• Individuals live for (at most) three periods: childhood (period t-1), adulthood (period t) <strong>and</strong> retirement (period t+1).<br />

• The economy produces a homogenous market good that can be either consumed in the period it is produced or stored to yield<br />

capital at the beginning of the following period.<br />

• Each individual is endowed with one unit of time in childhood <strong>and</strong> adulthood, <strong>and</strong> zero units in old age. In adulthood time is<br />

allocated inelastically to market work.<br />

Modeling features:<br />

Individuals<br />

• At the beginning of adulthood in t, each individual produces n t<br />

children, who depend on their parents for consumption <strong>and</strong> any<br />

spending associated with schooling <strong>and</strong> health care.<br />

• Raising a child also involves a cost of (0,1) of the individual’s net income. Consumption of children is subsumed in the<br />

individual’s consumption.<br />

• Wages is the only source of income as all individuals work in middle age (second period of life).<br />

• Savings can be held only in the form of physical capital.<br />

• Agents have no other endowments, except for an initial stock of physical capital at t = 0, which is the endowment of an initial<br />

old generation. Each individual is endowed with e t<br />

units of human capital. Each unit of human capital earns an effective market<br />

wage, w t<br />

, per unit of time worked.<br />

• Assuming that consumption of children is subsumed in the individual’s consumption, the individual’s utility takes the form<br />

(1)<br />

Annexes<br />

146<br />

Ug<strong>and</strong>a Country <strong>Economic</strong> Memor<strong>and</strong>um: <strong>Economic</strong> <strong>Diversification</strong> <strong>and</strong> <strong>Growth</strong> in the Era of Oil <strong>and</strong> Volatility

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