Questions from Macroeconomics


Q: Suppose the period-t utility function, ut, isut =

Suppose the period-t utility function, ut, isut = lnct +b(1−t )1−γ/(1−γ), b >0, γ>0, rather than (5.7). (a) Consider the one-period problem analogous to that investigated in (5.12) (5.15). How, if at...

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Q: Consider the problem investigated in (5.16) (5

Consider the problem investigated in (5.16) (5.21). (a) Show that an increase in both w1 and w2 that leaves w1/w2 unchanged does not affect 1 or 2. (b) Now assume that the household has initial wealth...

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Q: Suppose an individual lives for two periods and has utility lnC1 +

Suppose an individual lives for two periods and has utility lnC1 +lnC2. (a) Suppose the individual has labor income of Y1 in the first period of life and zero in the second period. Second-period consu...

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Q: (a) Use an argument analogous to that used to derive

(a) Use an argument analogous to that used to derive equation (5.23) to show that household optimization requires b/(1 − t) = e−ρEt [wt(1 + rt+1)b/ wt+1(1−t+1)] (b) Show that this condition is implied...

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Q: Consider an economy consisting of a constant population of infinitely lived individuals

Consider an economy consisting of a constant population of infinitely lived individuals. The representative individual maximizes the expected value of∞ t=0 u(Ct)/(1+ρ)t, ρ>0. The instantaneous utility...

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Q: Consider the setup in Problem 5.8. Assume, however

Consider the setup in Problem 5.8. Assume, however, that the technological disturbances (the e’s) are absent and that the instantaneous utility function is u(Ct) = Ct −θ(Ct +νt)2. The ν’s are mean-zer...

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Q: Consider the model of Section 11.3. Suppose, however

Consider the model of Section 11.3. Suppose, however, that only the firm observes A. In addition, suppose there are only two possible values of A, AB and AG (AB < AG), each occurring with probability...

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Q: Describe how, if at all, each of the following developments

Describe how, if at all, each of the following developments affects the curves. (a) The coefficient of relative risk aversion, θ, rises. (b) The curvature of (•),χ, falls. (c) We modify the utility fu...

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Q: Consider the model in equations(6.29) (6

Consider the model in equations(6.29) (6.32).Suppose, however, that the Et[yt+1] term in (6.31) is multiplied by a coefficient ω,0

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Q: Consider an economy consisting of many imperfectly competitive firms. The profits

Consider an economy consisting of many imperfectly competitive firms. The profits that a firm loses relative to what it obtains with pi =p∗ are K(pi − p∗)2, K >0. As usual, p∗=p+φy and y =m − p. Each...

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