Question

suppose real gdp is forecasted to grow by 1.73%, the velocity of money has been stable, and the fed announces an inflation target of 2.30%. what is the largest money growth rate the fed could implement and still achieve its inflation target?

Explanation:

Step1: Use the Quantity Theory of Money formula

The Quantity Theory of Money is given by the equation \( MV = PY \), where \( M \) is the money supply, \( V \) is the velocity of money, \( P \) is the price level (related to inflation), and \( Y \) is real GDP. In terms of growth rates, the formula becomes \( \text{Growth rate of }M+\text{Growth rate of }V=\text{Inflation rate}+\text{Growth rate of }Y \). Since velocity is stable, the growth rate of \( V = 0\).

Step2: Substitute the given values into the formula

We know that the inflation target (\(\text{Inflation rate}\)) is \( 2.30\%\) and the growth rate of real GDP (\(\text{Growth rate of }Y\)) is \( 1.73\%\). Substituting into the formula \( \text{Growth rate of }M+0 = 2.30\%+1.73\%\).

Answer:

The money growth rate is \( 4.03\%\)