We will extend the national income accounting to open economies by adding the current account balance.The goods market equilibrium condition for an open economy is as follows.Y= C+I+G+NX
(1) Y denotes GDP, C, I, and G are consumption, investment, and government expenditures, respectively, and NX refers to the trade balance (X-M). Now, subtract net taxes T from both sides of Equation (1) to get:
Y-T=C+I+G-T+NX (2)
Then, subtract C from both sides of Equation (2)
Y-T=C+I+G-T+NX
Finally, add net income from abroad (the primary income balance, NI) and net transfers from abroad (the secondary income balance, NT) to both sides of Equation (3)
Y+NI+NT-T-C=I+G-T+(NX+NI+NT)
Equation (4) shows that private savings denoted by (Y+NI+NT-T-C) are equal to the sum of domestic investment, government budget deficit, and the current account balance as follows:
S=I+(G-T)+ Current Account Balance (CA)
By rearranging the terms of Equation (5), we can get
CA=(S+(T-G))-I