Analysis of an Economy’s Expenditure, Savings, Investment, and Loanable Funds Market

QUESTION

  1. Consider a closed economy with a gross domestic product (Y) of 1200, consumption expenditure (C) of 750, government expenditure (G) of 200 and tax revenues (T) of 170. The figures are in billions of dollars. Suppose the investment expenditure function is I = 400 – 200r, where r is the real interest rate expressed as a percentage. State the equation between Y and the three components of expenditure. Calculate private saving (Sp), public saving (Sg), and national saving (S). Calculate investment (I). Calculate the equilibrium real interest rate and quantity of loanable funds. If the government ran a budget surplus of $20 billion in the next period, explain how this would affect the market for loanable funds.

ANSWER

Analysis of an Economy’s Expenditure, Savings, Investment, and Loanable Funds Market

In this analysis, we will delve into the components of expenditure, savings, investment, and the market for loanable funds in a closed economy with given economic data. Through this examination, we aim to understand the equilibrium real interest rate and how a government budget surplus might impact the loanable funds market.

Components of Expenditure

The closed economy under consideration has a gross domestic product (GDP) of $1200 billion. This GDP can be broken down into various components of expenditure: consumption expenditure (C), government expenditure (G), and investment expenditure (I). The equation representing this relationship is as follows: �=�+�+� Given the provided figures, where consumption expenditure (C) is $750 billion, government expenditure (G) is $200 billion, and the investment function is �=400−200�, we can rewrite the equation as: 1200=750+(400−200�)+200

Savings and Investment

Private saving (Sp) is the difference between disposable income and consumption expenditure: ��=�−�−�. Public saving (Sg) is the difference between government expenditure and tax revenues: ��=�−�. National saving (S) is the sum of private and public saving: �=��+��.

Using the provided tax revenues (T) of $170 billion, we find: ��=1200−170−750=280 ��=170−200=−30 �=280−30=250

Investment

Investment (I) is given by the investment expenditure function �=400−200�. By plugging in the equilibrium GDP value of $1200 billion, we can calculate the investment: 1200=400−200�+200 600=−200� �=−3% It’s important to note that a negative interest rate is not economically meaningful in this context, so we’ll interpret this as an impossible equilibrium.

Equilibrium Real Interest Rate and Loanable Funds Market

For equilibrium in the loanable funds market, the quantity of loanable funds supplied (national saving, S) must equal the quantity of loanable funds demanded (investment, I). Given the calculated national saving (S) of $250 billion and using the investment function �=400−200�, we can set up the equation: �=� 250=400−200� �=0.75%

Therefore, the equilibrium real interest rate is approximately 0.75% with the corresponding quantity of loanable funds matching the investment level.

Impact of Government Budget Surplus

If the government runs a budget surplus of $20 billion, it implies that tax revenues (T) exceed government expenditures (G) by that amount. This would lead to an increase in public saving (Sg) by $20 billion. As a result, the national saving (S) would also increase by $20 billion, assuming private saving (Sp) remains constant.

In the loanable funds market, this increase in national saving (S) would lead to a higher supply of loanable funds. With the investment level (I) remaining constant, the equilibrium real interest rate would likely decrease as borrowers have access to more funds at lower interest rates. This decrease in the equilibrium real interest rate would incentivize more borrowing and investment, potentially stimulating economic growth.

In conclusion, this analysis has explored the components of expenditure, savings, and investment in a closed economy, determining the equilibrium real interest rate and the quantity of loanable funds. Additionally, it has discussed the potential impact of a government budget surplus on the loanable funds market, highlighting its potential to influence interest rates and investment levels.

 

 

 

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