i need and answer please
In this question, assume all dollar units are real dollars in
billions, so $150 means $150 billion. It is year 0. Argentina
thinks it can find $150 of domestic investment projects with an MPK
of 10% (each $1 invested pays off $0.10 in every later year).
Argentina invests $84 in year 0 by borrowing $84 from the rest of
the world at a world real interest rate r* of 5%. There is no
further borrowing or investment after this. Use the standard
assumptions: Assume initial external wealth W (W in year -1) is 0.
Assume G = 0 always; and assume I = 0 except in year 0. Also,
assume NUT= KA = 0 and that there is no net labor income so that
NFIA = r*W. The projects start to pay off in year 1 and continue to
pay off all years thereafter. Interest is paid in perpetuity, in
year 1 and every year thereafter. In addition, assume that if the
projects are not done, then GDP = Q = C = $200 in all years, so
that PV(Q)= PV(C) =200 + 200/0.05 = 4,200.
a. Should Argentina fund the $84 worth of projects? Explain
your answer (3p)
b. Why might Argentina be able to borrow only $84 and not
$150? (2p)
c. From this point forward, assume the projects totaling $84
are funded and completed in year 0. If the MPK is 10%, what is the
total payoff from the projects in future years? (5p)
d. Assume this is added to the $200 of GDP in all years
starting in year 1. In dollars, what is Argentina’s Q = GDP in year
0, year 1, and later years? (5p)