If velocity = 5, the price level = 2, and the real value of output is 2,500, then the quantity of money is

a.

$25,000.
b.

$1,000.
c.

$250.
d.

$6,250.

1 answer

To find the quantity of money, we can use the equation of exchange in economics, which is represented as:

\[ MV = PY \]

Where:

  • \( M \) = quantity of money
  • \( V \) = velocity of money
  • \( P \) = price level
  • \( Y \) = real value of output (real GDP)

From the information provided:

  • \( V = 5 \)
  • \( P = 2 \)
  • \( Y = 2500 \)

First, we need to calculate \( PY \):

\[ PY = P \times Y = 2 \times 2500 = 5000 \]

Now we can use the equation \( MV = PY \) to solve for \( M \):

\[ M \times V = PY \]

\[ M \times 5 = 5000 \]

To find \( M \), divide both sides by 5:

\[ M = \frac{5000}{5} = 1000 \]

Thus, the quantity of money is:

$1,000.

So the correct answer is (b) $1,000.