Problem 28 Define the velocity of the money... [FREE SOLUTION]

Chapter 15: Problem 28

Define the velocity of the money supply.

Short Answer

Expert verified

The velocity of money supply is a measure of the frequency at which an average unit of currency is used for purchasing goods and services in an economy. It can be calculated using the formula: \[V = \frac{P \times T}{M}\], where \(V\) is the velocity of money, \(P\) is the price level, \(T\) is the number of transactions, and \(M\) is the money supply. For example, with a money supply of \(2,000,000, a total number of transactions of 400,000, and an average price of goods and services at \)10, the velocity of money is calculated as: \[V = \frac{10 \times 400{,}000}{2{,}000{,}000}\], resulting in a velocity of 2, meaning each unit of currency is used twice for purchasing goods and services in the economy.

Step by step solution

Definition of Velocity of Money Supply

The velocity of money supply is a measure of the frequency at which an average unit of currency is used for purchasing goods and services in an economy. It reflects the rate at which money is circulated within the economy and helps policymakers in understanding the health of the economy.

Formula for Velocity of Money Supply

To calculate the velocity of money supply, we use the following formula: \[V = \frac{P \times T}{M}\] where \(V\) is the velocity of money, \(P\) is the price level, \(T\) is the number of transactions, and \(M\) is the money supply.

Example

Let's say the economy has a money supply of \(2,000,000. The total number of transactions in the economy is 400,000, and the average price of goods and services is \)10. Using the velocity of money formula, we can calculate the velocity as follows: \[V = \frac{P \times T}{M} \] \[V = \frac{10 \times 400{,}000}{2{,}000{,}000}\] \[V = 2\] The velocity of money in this example is 2, which means that on average, each unit of currency is used twice for purchasing goods and services in the economy.