In: Economics
11. Assume that the world works according
to the Classical model. In a small open economy, output is
produced according to a Cobb-Douglas production
function, consumption is equal
to C=40+0.6(Y-T) and the investment function
is I=280-10r. You
know that the output produced is Y=900, government
spending is G=150, taxes are T=90 and
that the world real interest rate is 4% (r*=4).
In all the questions below, make sure to explain your answers and
show all your work.
a. Compute: i. Private saving, Public saving, and National saving; ii. the amount of net capital outflows for this country; iii. the trade balance of this country. Show your work.
Consumption = 40 + 0.6*(900 – 90) = 526
i) Private saving = Y – T – C = 900 – 90 – 526 = 284
Public saving = T – G = 90 – 150 = -60
National Saving = Private saving + Public saving = 224
Investment = 280 – 10*4 = 240
ii) Net capital outflows = S – I = 224 – 240 = -16
iii) Trade balance = Y – C – I – G = 900 – 526 – 150 – 240 = -16