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Within the quantity theory of

money, if M is 20, V is 5, and P
is 4, what is the value of Q?
A. 25
B. 55
C. 20
D. 50

User Mino
by
6.2k points

1 Answer

4 votes

Final answer:

Using the given values in the quantity equation of money (MV = PQ), where M is 20, V is 5, and P is 4, and solving for Q, we find that Q equals 25, which is option A.

Step-by-step explanation:

The student's question involves solving for Q within the Quantity Theory of Money. The basic quantity equation of money is represented as MV = PQ, where M stands for money supply, V for velocity of money, P for the price level, and Q for the quantity of goods and services produced (real GDP).

Step 1. We start by substituting the given values into the quantity equation of money.

  • M (money supply) = 20
  • V (velocity of money) = 5
  • P (price level) = 4

Now, we rearrange the formula to solve for Q:

20 (M) × 5 (V) = 4 (P) × Q
100 = 4Q

Step 2. Divide both sides by 4 to solve for Q:

Q = 100 / 4
Q = 25

Therefore, the value of Q is 25, which corresponds to option A.