This chapter explores open economy macroeconomics, highlighting the interactions between a country's economy and the global market. Understanding these interactions is crucial for comprehending total national output and factors influencing it.
Open Economy Macroeconomics – Formula & Equation Sheet
Essential formulas and equations from Introductory Macroeconomics, tailored for Class 12 in Economics.
This one-pager compiles key formulas and equations from the Open Economy Macroeconomics chapter of Introductory Macroeconomics. Ideal for exam prep, quick reference, and solving time-bound numerical problems accurately.
Key concepts & formulas
Essential formulas, key terms, and important concepts for quick reference and revision.
Formulas
Y = C + I + G + (X - M)
Y represents the national income, C is consumption, I is investment, G is government spending, X is exports, and M is imports. This formula represents the national income identity for an open economy.
NX = X - M
NX stands for net exports, defined as exports (X) minus imports (M). It quantifies the trade balance and indicates whether a country has a trade surplus (NX > 0) or deficit (NX < 0).
M = M_0 + mY
M represents total imports, M_0 is the autonomous component of imports, and m is the marginal propensity to import. This equation shows how imports change with national income (Y).
Y* = A / (1 - c + m)
Y* is the equilibrium income, A is the total autonomous expenditure, c is the marginal propensity to consume, and m is the marginal propensity to import. This formula indicates how equilibrium income is determined in an open economy.
Current Account + Capital Account = 0
This equation states that the current account balance is financed by capital inflows. A current account deficit must be matched by a surplus in the capital account.
Exchange Rate (R) = Foreign Price / Domestic Price
R represents the nominal exchange rate. This formula helps to determine how much of one currency is required to purchase a unit of another currency, influencing international trade.
Real Exchange Rate (R_real) = (Nominal Exchange Rate * Domestic Price) / Foreign Price
R_real indicates the relative price of domestic goods in relation to foreign goods. It adjusts the nominal exchange rate for price levels, providing a clearer view of trade competitiveness.
Marginal Propensity to Import (m) = ΔM / ΔY
This measures the change in imports (ΔM) resulting from a change in income (ΔY). It reflects how much of an additional dollar of income is spent on imports.
Net Capital Inflow = Foreign Investment - Domestic Investment
This identifies the difference between incoming foreign investments and outflows due to domestic investments. It helps assess the financial health and economic engagement of a country.
BoP Deficit = Current Account Deficit - Capital Account Surplus
This formula helps determine the overall balance of payments (BoP) health, indicating if the country requires financing or adjustments in reserves.
Equations
Balance of Trade (BOT) = Exports (X) - Imports (M)
BOT represents the difference between exports and imports of goods. A positive BOT indicates a trade surplus, while a negative indicates a trade deficit.
Foreign Exchange Rate: E = D_S / D_D
E is the exchange rate, D_S is the quantity of currency supplied, and D_D is the quantity demanded. This formula determines the equilibrium exchange rate in the forex market.
Official Reserve Sales = Official Reserves - Foreign Exchange Deficit
This equation indicates how much foreign reserves are used to cover a deficit in the balance of payments, highlighting monetary authority actions.
Current Account Balance = Trade Balance + Net Income from Abroad + Net Transfers
This formula aggregates components of the current account to evaluate overall economic transactions related to trade, income, and transfers.
Capita Transfer = Net Transfers + Remittances
This formula calculates the net transfer payments received from abroad, including remittances, reflecting the inflow of capital to a country.
Equilibrium Exchange Rate = (Demand for Foreign Currency) / (Supply of Foreign Currency)
This determines the equilibrium exchange rate based on the demand and supply of foreign currencies in the foreign exchange market.
Investment-Saving (I - S) = Net Exports (X - M)
This equation links national savings and investment, showing that any excess investment over savings must be financed through net exports.
Income Identity: Y = C + I + G + (X - M)
Reflects how total national income (Y) is generated from domestic consumption, investment, government spending, and net exports.
Trade Multipliers: ΔY = k * ΔG
Here, ΔY is the change in income, k is the multiplier, and ΔG is the change in government spending, indicating how government expenditures impact overall income.
Exchange Rate Adjustment: E_new = E_old * (1 + Inflation_rate_countryA - Inflation_rate_countryB)
This shows how exchange rates adjust based on inflation differentials between two countries, impacting competitiveness in trade.
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