QuestionAugust 5, 2025

In the equation of exchange, if M= 7 trillion. P=3 and Q= 14 trillion: the velocity of money (V)=3 nominal GDP is 42 trillion. the velocity of money (V)=4 real GDP is 98 trillion.

In the equation of exchange, if M= 7 trillion. P=3 and Q= 14 trillion: the velocity of money (V)=3 nominal GDP is 42 trillion. the velocity of money (V)=4 real GDP is 98 trillion.
In the equation of exchange, if M= 7 trillion. P=3 and Q= 14 trillion:
the velocity of money (V)=3
nominal GDP is 42 trillion.
the velocity of money (V)=4
real GDP is 98 trillion.

Solution
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Answer

Velocity of money ( (V) = 6 ) Explanation 1. Identify the Equation of Exchange The equation of exchange is given by **( MV = PQ )**. 2. Calculate Nominal GDP Nominal GDP is calculated as ( PQ ). Given ( P = 3 ) and ( Q = \ 14 ) trillion, nominal GDP is \( 3 \times 14 = \ 42 \) trillion. 3. Calculate Velocity of Money Using the equation ( MV = PQ ), solve for ( V ): \( V = \frac{PQ}{M} \). With ( M = \ 7 ) trillion and ( PQ = \ 42 ) trillion, \( V = \frac{42}{7} = 6 \). 4. Verify Real GDP Real GDP is ( Q ), which is already given as ( \ 14 ) trillion.

Explanation

1. Identify the Equation of Exchange<br /> The equation of exchange is given by **( MV = PQ )**.<br /><br />2. Calculate Nominal GDP<br /> Nominal GDP is calculated as ( PQ ). Given ( P = 3 ) and ( Q = \$ 14 ) trillion, nominal GDP is \( 3 \times 14 = \$ 42 \) trillion.<br /><br />3. Calculate Velocity of Money<br /> Using the equation ( MV = PQ ), solve for ( V ): \( V = \frac{PQ}{M} \). With ( M = \$ 7 ) trillion and ( PQ = \$ 42 ) trillion, \( V = \frac{42}{7} = 6 \).<br /><br />4. Verify Real GDP<br /> Real GDP is ( Q ), which is already given as ( \$ 14 ) trillion.
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