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Demand and Supply for Money : A Detailed Discussion - The Transaction Motive

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CISCE: Class 12

Transaction demand for money

\[M_d^T=kT\]

where \[M_d^T\] = transaction demand for money,
T = total value of nominal transactions in the period,
k = positive fraction of transaction value held as money.

CISCE: Class 12

Velocity form of the same identity

\[\frac{1}{k}M_d^T=T\quad\Rightarrow\quad vM_d^T=T\]

where \[v=\frac{1}{k}\] is the velocity of circulation of money (number of times each unit of money changes hands in the period).

CISCE: Class 12

Transaction demand as a function of nominal GDP

\[M_d^T=kPY\]

where Y = real GDP and P = general price level (GDP deflator), so PY = nominal GDP.

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