(1) Public sector savings-investmet balance is given by the difference between public savings and public investment.
Given that Public savings = -300 and Public investments = 100
Thus, public sector savings-investmet balance = Public savings - Public investments = -300-100 = -400
(2) Private sector savings-investmet balance is given by the difference between private savings and private investment.
Given that Private savings = 200 and Private investments = 50
Thus, public sector savings-investmet balance = Private savings - Private investments = 200 - 50 = 150
(3) Current account balance is the difference between te exports ans imports of goods and services of a country.
CA = EX - IM
where CA = current account, EX = total exports and IM = total imports
Now, the national income identity is given by
Y = C + I + G + (EX-IM)
EX - IM = Y - C - I - G
CA = (Y - T - C) + (T - G) - I : addition and subtraction of T i.e. taxes on the right hand side.
CA = S - I
where (Y - T - C) are savings of the private sector and (T - G) are the savings of public sector.
So, S = total savings = public sector savings + private sector savings = (-300) + 200 = -100
and I = total investment = public sector investments + private sector invetments = 100 + 50 = 150
Thus, CA = -100 - 150 = - 250
The other way of calculating CA is
CA = public sector savings-investment balance + private sector savings-investment balance = -400 + 150 = -250
The currenct account balance is in deficit.
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