An economy is described by the following equations G 2000
An economy is described by the following equations G = 2.000 + 0.3 (Y - T) - 10.000t t^P = 2,000 - 10,000t G = 1,000 NX = 100 T = 3.150 The real interest rate, expressed as a decimal, is 0.10 (that is, 10 percent). Find a numerical equation relating planned aggregate expenditure to output PAE = + Y. Using a table (or algebra if you have used the appendix to the chapter), solve for short-run equilibrium output
Solution
(a) PAE=C+IP+G+NX
PAE=2600+0.8(Y-3150)-10000(0.10)+2000-10000(0.10)+1800+100
PAE=1980+0.8Y
(b)
Short run equilibrium output is at Y=PAE=9900
| Y | PAE=1980+0.8Y | Y_PAE |
| 9500 | 9580 | Y<PAE |
| 9600 | 9660 | Y<PAE |
| 9700 | 9740 | Y<PAE |
| 9800 | 9820 | Y<PAE |
| 9900 | 9900 | Y=PAE |
| 10000 | 9980 | Y>PAE |
| 10100 | 10060 | Y>PAE |
| 10200 | 10140 | Y>PAE |
