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Zorluk: OrtaValue of Money and Quantity Theory of Money

In a commercial sector of an economy, the total stock of money in circulation (MM) is N12,000,000\text{N}12,000,000 and the velocity of circulation (VV) is 55. If the total physical volume of transactions (TT) is 1,500,0001,500,000 units, what is the general price level (PP) according to Fisher's Quantity Theory of Money?

Cevap: 40 Naira

Cevap

The general price level (PP) is N40\text{N}40.
According to Irving Fisher's Quantity Theory of Money equation (MV=PTMV = PT), the general price level PP is determined by dividing total monetary expenditures (M×V=12,000,000×5=60,000,000M \times V = 12,000,000 \times 5 = 60,000,000) by the physical volume of transactions (T=1,500,000T = 1,500,000). This calculation gives P=40P = 40.

Adım Adım Çözüm

1
State Fisher's Quantity Theory of Money equation
MV=PTMV = PT
Fisher's identity equates total money expenditure (MVMV) with the total value of goods and services exchanged (PTPT).
2
Rearrange the identity to isolate the general price level (PP)
P=MVTP = \frac{MV}{T}
This provides the formula needed to calculate PP directly from MM, VV, and TT.
3
Substitute the values and compute the result
P=12,000,000×51,500,000=40P = \frac{12,000,000 \times 5}{1,500,000} = 40
Multiplying money supply by velocity gives total turnover of N60,000,000\text{N}60,000,000, which divided by transaction volume 1,500,0001,500,000 yields 4040.

Anahtar Kavram

Fisher's Quantity Theory of Money Equation (MV = PT)
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