savings function: autonomous and induced savings

Resources | Subject Notes | Economics

Savings Function: Autonomous and Induced Savings

This section explores the savings function, a crucial component of understanding the circular flow of income. It differentiates between autonomous and induced savings, explaining their determinants and how they influence the overall economy.

Understanding Savings

Savings represent the portion of disposable income that is not spent on consumption. They are a vital link between income and expenditure in the circular flow of income.

The Savings Function

The savings function illustrates the relationship between the level of income and the amount saved. It's typically represented graphically as a downward-sloping curve.

$$S = S_A + S_I$$

Where:

  • S = Total Savings
  • SA = Autonomous Savings
  • SI = Induced Savings

Autonomous Savings (SA)

Autonomous savings are savings that occur even when income is zero. They are independent of the level of income.

Factors influencing autonomous savings include:

  • Consumer Preferences: Individuals may choose to save a portion of their income regardless of their current income level. This could be due to a desire for financial security or future investments.
  • Age Distribution of the Population: A larger proportion of older people in a population tends to lead to higher autonomous savings, as older individuals typically save more for retirement.
  • Cultural Factors: Some cultures place a higher value on saving than others.

Induced Savings (SI)

Induced savings are savings that are influenced by the level of income. As income increases, induced savings also tend to increase.

The relationship between induced savings and income is typically positive.

This is because:

  • Interest Rates: Higher income leads to higher disposable income. This increased disposable income can be saved or spent. A key factor is the interest rate. Higher interest rates incentivize saving.
  • Marginal Propensity to Save (MPS): The MPS represents the proportion of an increase in income that is saved. A higher MPS means that a larger portion of an income increase is saved.

The Savings Function Equation

The savings function is often represented by the following equation:

$$S = S_A + MPS \times Y$$

Where:

  • S = Total Savings
  • SA = Autonomous Savings
  • MPS = Marginal Propensity to Save
  • Y = Income

Graphical Representation

Suggested diagram: A graph with Income (Y) on the X-axis and Savings (S) on the Y-axis. The savings function is a downward-sloping curve. The autonomous savings intercept is where the curve intersects the Y-axis. The slope of the curve represents the MPS.

Factors Affecting the Savings Function

Several factors can shift the entire savings function:

  • Interest Rates: Higher interest rates generally lead to higher autonomous savings.
  • Government Policy: Government policies, such as tax incentives for saving, can increase autonomous savings.
  • Consumer Confidence: Increased consumer confidence can lead to higher autonomous and induced savings.
  • Wealth Effects: An increase in wealth (e.g., rising asset prices) can lead to higher autonomous savings.

Relationship to the Circular Flow of Income

Savings are an outflow from the circular flow of income. When individuals save, the money is removed from the flow and is typically deposited in banks. Banks then lend this money to borrowers, such as businesses and governments, which represents an inflow into the circular flow.

The savings function helps to determine the level of savings in the economy, which is a crucial determinant of aggregate demand and economic growth.

Factor Effect on Savings
Interest Rates Higher interest rates increase autonomous savings.
Government Tax Policies Tax incentives for saving increase autonomous savings.
Consumer Confidence Increased consumer confidence increases both autonomous and induced savings.
Wealth Effects Increased wealth increases autonomous savings.