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Suppose Bright-Land is a small open economy. Assume initial external wealth W (W in year -1) is 0 and consumption is the only source of

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Suppose Bright-Land is a small open economy. Assume initial external wealth W (W in year -1) is 0 and consumption is the only source of demand: G = 0, I = 0, NUT = KA = 0 and no net labor income so NFIA = I*W. Further, in year 0: Q = 100, C = 100, I = 0, TB = 0, and W = 0. Suppose there is an investment shock ( no output shock). Bright-Land now invests $16 in year 0 by borrowing S16 from the rest of the world (ROW) at a world real interest rate rs of 5%. There is no further borrowing or investment after this. The projects start to pay off 5 units of output ($5) in year I and continue to pay off all years thereafter. Interest is paid in perpetuity, in year I and every year thereafter. In addition, assume that if the projects are not done, then GDP = Q = C = S100 in all years, so that PV(Q) = PV(C). A. What is Bright-Land's Q = GDP in year 0, year 1, and later years? What is the new PV(O) in dollars? B. At year 0, what is the new PV(I) in dollars? Therefore, what does the LRBC say is the new PVC) in dollars? C. Assume that Bright-Land is consumption smoothing. What is the percent change in PV(C)? What is the new level of C in all years? Is Bright-Land better off? D. For the year the projects go ahead, year 0, explain Bright-Land's balance of payments as follows: State the levels of CA, TB, NFIA, and FA. What happens in later years? State the levels of CA, TB, NFIA, and FA in year 1 and every later year

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