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A field exam for the economic demography course at the university of california, berkeley. It covers topics such as economic influences on marriage behavior and fertility, population aging, health and socio-economic status, and behavioral economics. The exam consists of four questions, each with multiple parts, and students are expected to cite relevant literature and theories in their answers.
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Department of Economics University of California, Berkeley August 18, 2010
Field Exam for Economic Demography
Please answer all parts of all four questions, which will be weighted equally in the total grade. Cite the literature where appropriate. You have three hours.
b) Almond presents evidence that conditions in utero affect health outcomes in later life. c) Smith argues, among other things, that the direction of causality over much of the life cycle goes from health to socio-economic outcomes. d) Are these three studies consistent or inconsistent with one another? Can you draw any general policy recommendations from them?
UCB Field Exam in Economic Demography, 18 August 2010 2
Table 1: Brass Standard Based on 2008 German Period Lifetable
x x Yx x
x Yx
Growth Rate: R = (1=T ) log(K(T )=K(0))
Exponential Growth: K(t + n) = K(t)eRt
Survival from hazards: lx+n = l(x)e hx^ n
Gompertz Model: h(x) = e x; lx = exp
( = )(e x^ 1)
Period Lifetable: (^) nqx =
(n)(nMx) 1 + (n (^) nax)(nMx)
Age SpeciÖc Death Rate:nMx = (^) nDx = (^) nKx
UCB Field Exam in Economic Demography, 18 August 2010 3
First Age Factor: 1 a 0 = 0:07 + 1:7( 1 M 0 ):
Second Age Factor: 4 a 1 = 1: 5
Survivorship: lx+n = lx(1 (^) nqx) = lx (^) ndx
Person-Years Lived: (^) nLx = (n)(lx+n) + (nax)(ndx)
Lifetable death rate: (^) nmx = (^) ndx=nLx
Expectation of Life: ex = Tx=lx
Brassís Logit System: lx =
1 + exp( 2 2 Yx)
Leslie Matrix Top Row: n
2 l 0
nFx +^ nFx+n
nLx+n nLx
ff ab
Leslie Matrix Subdiagonal: n
Lx+n nLx
Lotkaís Equation: 1 =
(1=2) (nFxnLx + (^) nFx+nnLx+n) (ff ab=l 0 )e r(x+n)