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Multiple Choice
Which one of the following is NOT the formula for the quantity theory of money?
A
P = M V / Y
B
M = P Y / V
C
M + V = P + Y
D
M V = P Y
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Verified step by step guidance
1
Step 1: Understand the Quantity Theory of Money, which is commonly expressed by the equation \(M \times V = P \times Y\), where \(M\) is the money supply, \(V\) is the velocity of money, \(P\) is the price level, and \(Y\) is the real output (real GDP).
Step 2: Recognize that the equation \(M \times V = P \times Y\) can be algebraically rearranged to express any variable in terms of the others, such as \(P = \frac{M \times V}{Y}\) or \(M = \frac{P \times Y}{V}\), which are valid forms derived from the original equation.
Step 3: Identify that the expression \(M + V = P + Y\) is not a valid formula for the quantity theory of money because it incorrectly uses addition instead of multiplication, which does not reflect the economic relationship between these variables.
Step 4: Confirm that the valid formulas are those that maintain the multiplicative relationship between money supply and velocity on one side, and price level and output on the other side.
Step 5: Conclude that the formula \(M + V = P + Y\) is the one that does NOT represent the quantity theory of money.