What are the two main sides of the national savings and investment identity?

The national savings and investment identity states that the total amount of savings in an economy should be equal to the total amount of investments. In other words, the amount of money saved can be used to finance investments that drive economic growth. The identity can be represented through the equation: \[ S = I \] where \(S\) is the national savings and \(I\) is the total investments.

The two main sides of the national savings and investment identity are: 1. National Savings (\(S\)): It is the amount of income that is saved in an economy. National savings consist of private savings (by households and businesses) and public savings (government budget surplus or deficit). It can be calculated using the formula: \[ S = (Y - C - T) + (T - G) \] where \(Y\) is the national income, \(C\) is the total consumption expenditure, \(T\) is the total taxes paid to the government, and \(G\) is the government spending on goods and services. 2. Investments (\(I\)): It is the amount of resources allocated toward creating new capital goods, which adds to the production capacity of an economy. Investments can be either through the acquisition of physical assets (e.g., machinery, buildings) or intangible assets (e.g., patents, R&D). These two sides represent the supply (savings) and demand (investments) of loanable funds in an economy, which determines the equilibrium interest rate.