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

a.

$6,250.
b.

$250.
c.

$25,000.
d.

$1,000.

1 answer

To find the quantity of money, we can use the equation of exchange from quantity theory of money, which can be expressed as:

\[ MV = PY \]

where:

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

Given the values:

  • Velocity (\( V \)) = 5
  • Price level (\( P \)) = 2
  • Real value of output (\( Y \)) = 2,500

We can substitute these values into the equation:

\[ M \cdot 5 = 2 \cdot 2,500 \]

Calculating the right side:

\[ 2 \cdot 2,500 = 5,000 \]

Now we have:

\[ 5M = 5,000 \]

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

\[ M = \frac{5,000}{5} = 1,000 \]

Thus, the quantity of money is:

d. $1,000.