Questions: Suppose that the dynamic aggregate demand curve in Swaziland is determined by the equation M + v = 6%. Using this information, draw Swaziland's dynamic aggregate demand curve on the graph.

Suppose that the dynamic aggregate demand curve in Swaziland is determined by the equation M + v = 6%. Using this information, draw Swaziland's dynamic aggregate demand curve on the graph.
Transcript text: Suppose that the dynamic aggregate demand curve in Swaziland is determined by the equation $\vec{M}+\vec{v}=6 \%$. Using this information, draw Swaziland's dynamic aggregate demand curve on the graph.
failed

Solution

failed
failed

Solution Steps

Step 1: Interpret the equation

The given equation $\tilde{M} + \tilde{v} = 6\%$ represents the dynamic aggregate demand curve. $\tilde{M}$ is the growth rate of the money supply, $\tilde{v}$ is the growth rate of the velocity of money, and their sum equals the nominal GDP growth rate. Since inflation ($\pi$) equals nominal GDP growth minus real GDP growth ($\tilde{y}$), we can rewrite the equation as $\pi = 6\% - \tilde{y}$.

Step 2: Identify two points for the curve

We can choose two arbitrary values for $\tilde{y}$ and calculate the corresponding inflation rate $\pi$.

  • If $\tilde{y} = 5\%$, then $\pi = 6\% - 5\% = 1\%$. So, one point is $(5, 1)$.
  • If $\tilde{y} = 8\%$, then $\pi = 6\% - 8\% = -2\%$. So, another point is $(8, -2)$.
Step 3: Plot the points and draw the curve

Plot the two points $(5, 1)$ and $(8, -2)$ on the graph. Draw a straight line through these two points, extending it to the edges of the graph. This line represents Swaziland's dynamic aggregate demand curve.

Final Answer:

The dynamic aggregate demand curve is a straight line passing through any two points that satisfy the equation $\pi = 6\% - \tilde{y}$. For example, it could pass through points $(5, 1)$ and $(8, -2)$. This is a downward-sloping line on the graph with inflation rate on the vertical axis and real GDP growth rate on the horizontal axis.

Was this solution helpful?
failed
Unhelpful
failed
Helpful