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Attempts Keep the Highest: /2 5. Velocity and the equation of exchange Consider a simple economy that produces only pies. The following table contains information on the economys money supply, velocity of money, price level, and output. For example, in 2015, the money supply was 100, the price of a pie was $8.00, and the economy produced 250 pies Fill in the missing values in the following table, rounding to the nearest cent when necessary. Money Supply (Dollars) 100 101 Price Level (Dollars) 8.00 Quantity of Output (Pies) 250 250 Nominal GDP Year 2015 2016 Velocity of Money (Dollars) 20 The money supply grew at a rate of % from 2015 to 2016, Since pie output did not change from 2015 to 2016 and the velocity of money the change in the money supply was reflectecd in changes in the price level. The inflation rate from 2015 to 2016 was

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According to the equation of exchange under the quantity theory of money, the product of money supply and velocity of money equals the product of output and price level

For 2015 we have 100 x v = 8 x 250. This gives the velocity of money in 2015 at 20. Nominal GDP is the product of price level and output and same in 2015 is 2000

For 2016, 101 x 20 = P x 250. This gives the price level in 2016 at 8.08 and nominal GDP at 2020.

Money supply is increased by 1% from 2015 to 2016. Velocity of money remains same at 20 between this period. The change in the money supply was reflected entirly in the change in the price level. The rate of inflation between this period is therefore 1%.

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