Q.(a) Estimate the value of Aggregate Demand (AD) in an imaginary economy :

(a) To estimate Aggregate Demand (AD), we first need to calculate the consumption expenditure (C) and then add the autonomous investment ($I_0$).

First, calculate the Marginal Propensity to Consume (MPC) from the given Marginal Propensity to Save (MPS):

$MPC = 1 - MPS$

$MPC = 1 - 0.2 = 0.8$

Next, calculate the consumption expenditure (C) using the consumption function:

$C = ₹ 50 \text{ crore} + 0.8 \times ₹ 4,000 \text{ crore}$

$C = ₹ 50 \text{ crore} + ₹ 3,200 \text{ crore}$

$C = ₹ 3,250 \text{ crore}$

Finally, calculate Aggregate Demand (AD):

$AD = C + I_0$

$AD = ₹ 3,250 \text{ crore} + ₹ 100 \text{ crore}$

$AD = ₹ 3,350 \text{ crore}$ …

(a) Estimating Aggregate Demand (AD)

Aggregate Demand (AD) in an economy refers to the total demand for all final goods and services produced within an economy during an accounting year. It represents the total expenditure that all sectors of the economy (households, firms, government, and the rest of the world) are willing to incur at a given level of income. In a simplified two-sector model (households and firms), Aggregate Demand is the sum of Consumption Expenditure (C) and Investment Expenditure (I).

The economic intuition behind AD is that it drives production. If there is sufficient demand, firms are incentivized to produce more, leading to higher income and employment. Conversely, low AD can lead to underutilization of resources and economic slowdown. Understanding AD is crucial for policymakers to manage economic fluctuations.

To estimate AD, we first need to determine the components of consumption and investment.

1. Identify the components of Aggregate Demand: In a two-sector economy, Aggregate Demand (AD) is given by:

Where $C$ is Consumption Expenditure and $I$ is Investment Expenditure.

2. Determine Consumption Expenditure (C):

Consumption expenditure has two parts: autonomous consumption ($\bar{c}$) and induced consumption ($bY$). Autonomous consumption is the minimum level of consumption that occurs even at zero income, while induced consumption depends on the level of income ($Y$) and the Marginal Propensity to Consume ($b$).

3. Calculate Marginal Propensity to Consume (b): The question provides the Marginal Propensity to Save (MPS), but the consumption function requires the Marginal Propensity to Consume (MPC), denoted as $b$. We know that the sum of MPC and MPS is always equal to 1.

   $MPC + MPS = 1$

   Given $MPS = 0.2$:

So, the Marginal Propensity to Consume is $0.8$. This means that for every additional rupee of income, 80 paise is spent on consumption.

4. Substitute values into the Consumption Function:

Given:

* Autonomous Consumption Expenditure ($\bar{c}$) = ₹ 50 crore

* Marginal Propensity to Consume ($b$) = 0.8 (calculated above)

* Level of Income ($Y$) = ₹ 4,000 crore

5. Determine Investment Expenditure (I): The question states Autonomous Investment ($I_0$) = ₹ 100 crore. In this model, investment is assumed to be autonomous, meaning it does not depend on the level of income.

6. Calculate Aggregate Demand (AD): Now, sum the calculated Consumption Expenditure and the given Investment Expenditure.

$$AD = 3250 + 100$$ …