Economyలో ఉన్న money stock ఎంత అనే విషయం మాత్రమే కాకుండా, ఆ money ఒక నిర్దిష్ట కాలంలో ఎన్ని సార్లు transactions లేదా income payments కోసం ఉపయోగించబడుతోంది అనే విషయం కూడా ముఖ్యమైనది. దీనినే Velocity of Money – ద్రవ్య చలామణి వేగం అంటారు.
Velocity of Money = ఒక unit of money ఒక నిర్దిష్ట కాలంలో goods and services transactions లేదా nominal incomeను support చేయడానికి సగటున ఎన్ని సార్లు ఉపయోగించబడిందో తెలిపే rate.
ఒక economyలో ₹1 ఒక సంవత్సరంలో averageగా 5 times transactionsలో ఉపయోగించబడితే, money velocity = 5.
Money Stock = ₹1,000 crore
Total nominal expenditure supported = ₹5,000 crore
Velocity = 5,000 / 1,000
V = 5
Money Supply → ఎంత Money ఉంది?
Velocity → అదే Money ఎంత వేగంగా తిరుగుతోంది?
Velocity money quantity కాదు. It measures the frequency with which money balances are used over a period.
Money Supply = Stock
Velocity = Rate of turnover / circulation
Velocityను broadly రెండు important waysలో explain చేయవచ్చు:
2. Income Velocity
Money stock ఒక periodలో all monetary transactionsను finance చేయడానికి averageగా ఎన్ని times ఉపయోగించబడిందో Transactions Velocity సూచిస్తుంది.
Fisher's transaction approachలో:
Where:
V = Transactions Velocity of Money
P = Average Price Level of Transactions
T = Volume of Transactions
Money stock ఒక periodలో nominal national income లేదా nominal outputను support చేయడానికి averageగా ఎన్ని times ఉపయోగించబడిందో Income Velocity సూచిస్తుంది.
Since Nominal GDP = P × Y:
Therefore:
Fisher's original transactions equation → MV = PT
Modern income version → MV = PY
| Transactions Velocity | Income Velocity |
|---|---|
| Based on total transactions | Based on nominal income/output |
| Associated with PT | Associated with PY |
| V = PT/M | V = PY/M |
| Includes broader transaction turnover | Focuses on final output/income |
American economist Irving Fisher Quantity Theory of Moneyను Transactions Approach ద్వారా developed చేశాడు.
This is called the Equation of Exchange.
M × V = Total monetary expenditure / turnover
Right Side:
P × T = Money value of transactions
Total Money Expenditure = Total Money Value of Transactions
Suppose:
V = 5
Then:
If T = 500 crore transaction units:
Thus the average transaction price is 10 monetary units in this simplified example.
Some traditional textbook presentations include bank/deposit money separately:
V = Velocity of M
M′ = Bank / deposit money
V′ = Velocity of deposit money
P = Price Level
T = Transactions
The classical quantity-theory conclusion is obtained by imposing additional assumptions on the equation of exchange.
If V is stable/constant and T is fixed at or near full-employment capacity:
Then:
If V and T remain constant:
Money Supply ↑ → Price Level ↑
Money Supply ↓ → Price Level ↓
Under the strict assumptions of the simple Quantity Theory, a proportional change in money supply produces a proportional change in the price level.
M doubles
V constant
T constant
Then:
P doubles
This proportional result depends on the assumptions. It should not be interpreted as an unconditional rule that every increase in money supply always produces an equal increase in prices.
✓ Velocity is assumed stable/constant
✓ Transaction/output volume is treated as fixed independently of money in the relevant analysis
✓ Economy is commonly associated with full-employment output in the classical version
✓ Money primarily affects nominal variables / prices in the simple long-run framework
Using the income equation:
An increase in M need not translate completely into P if real output Y also increases.
M ↑ 10%
V unchanged
Y ↑ 6%
Approximate implication:
P rises by about 4%
Money Growth = Price Growth only under restrictive conditions, especially when velocity and real output are unchanged.
Approximately:
Therefore:
Money Supply Growth = 12%
Velocity Growth = 0%
Real Output Growth = 7%
= 12 + 0 − 7
= 5%
The Cambridge economists shifted attention from how rapidly money circulates to how much money people desire to hold.
The approach is associated particularly with economists such as Alfred Marshall, A.C. Pigou, D.H. Robertson and early Keynesian Cambridge monetary analysis.
Where:
k = Fraction of nominal income people wish to hold as money
P = Price Level
Y = Real Income / Output
k represents the desired cash-balance ratio — the proportion of nominal income people wish to keep in money form.
From income velocity:
Therefore:
k ↑ → V ↓
k ↓ → V ↑
If people hold 20% of nominal income as money:
| Fisher | Cambridge |
|---|---|
| Transactions Approach | Cash-Balance Approach |
| Emphasis on spending/circulation | Emphasis on holding money |
| MV = PT | M = kPY |
| Uses velocity V | Uses cash-balance ratio k |
| How fast money circulates | How much income is held as money |
| V rises when turnover rises | k rises when desired money holding rises |
V = 1/k
Velocity is not necessarily constant in actual economies. It can change because of institutional, behavioural and technological factors.
More frequent spending and settlement can increase money turnover.
The timing and frequency of wages, salaries and other receipts can affect average money balances and velocity.
Efficient banking and payment systems can reduce the need to hold idle transaction balances and may increase turnover.
Faster settlement and payment technologies can influence the speed with which monetary balances are used.
Higher opportunity cost of holding non-interest-bearing money can encourage people to economise on money balances, potentially increasing velocity, other things equal.
Expected inflation or deflation can affect how quickly people choose to spend money.
The extent to which economic activity uses money rather than non-monetary exchange can influence measured velocity.
Changes in desired money balances relative to income can alter velocity.
| Change | Likely Effect on Velocity, Other Things Equal |
|---|---|
| Desired cash balances ↑ | V ↓ |
| k ↑ | V ↓ |
| k ↓ | V ↑ |
| Faster payment turnover | V may ↑ |
| Greater preference for liquidity/cash balances | V may ↓ |
| Higher opportunity cost of idle money | V may ↑ |
Income velocity and desired money balances are closely related. If people want to hold a larger fraction of their income as money, the same money stock turns over less frequently.
From:
A rise in M or V increases nominal spending, other things equal. How much appears as higher prices depends importantly on the response of real output Y.
“Velocity increase always causes inflation.”
The actual outcome depends on money supply, real output, aggregate demand, capacity conditions and other macroeconomic factors.
During periods when households and firms increase desired money balances and reduce spending, measured velocity can fall.
Money Supply = ₹500 crore
Nominal GDP = ₹2,500 crore
V = 5
Money Supply = ₹800 crore
Velocity = 4
= 800 × 4
= ₹3,200 crore
Nominal GDP = ₹6,000 crore
Velocity = 5
= ₹1,200 crore
M = 1,000
V = 6
Y = 500 units
P = 12
k = 0.25
V = 4
Velocity = 8
k = 0.125 = 12.5%
Money Growth = 10%
Velocity Growth = 2%
Real Output Growth = 5%
= 7%
Trap 2: Cambridge → Cash-Balance Approach.
Trap 3: Fisher equation → MV = PT.
Trap 4: Income equation → MV = PY.
Trap 5: Cambridge equation → M = kPY.
Trap 6: V = 1/k.
Trap 7: k and V are inversely related.
Trap 8: Velocity is not the quantity of money.
Trap 9: Money supply increase does not mechanically imply an equal price increase unless the relevant assumptions hold.
Trap 10: PT and PY should not be treated as exactly the same concept.
A) Quantity of currency printed
B) Average frequency with which money is used
C) Rate of interest
D) Bank reserve ratio
A) PY/M
B) M/PY
C) M×PY
D) P/M
A) MV = PT
B) M = kPY
C) S = I
D) C = a+bY
A) Irving Fisher
B) Alfred Marshall
C) Keynes only
D) Ricardo
A) Velocity of money
B) Value added
C) Volume of saving
D) Variable cost
A) Taxes
B) Volume of transactions
C) Time deposits
D) Treasury bills
A) Real output/income
B) Money supply
C) Velocity
D) Interest rate
A) PY
B) M/V only
C) P/Y
D) M−V
A) M = kPY
B) MV = PT only
C) M = P/Y
D) S = I
A) Cash-Balance Approach
B) Transactions Approach only
C) Liquidity trap theory
D) Accelerator theory
A) Circulation/transactions
B) Cash holding only
C) Public expenditure only
D) Taxation
A) Desired cash balances
B) Gold production only
C) Government borrowing
D) Fiscal deficit
A) Fraction of nominal income held as money
B) Capital-output ratio
C) Investment multiplier
D) Tax multiplier
A) V = 1/k
B) V = k
C) V = k²
D) V = 1+k
A) Falls
B) Rises
C) Remains necessarily constant
D) Becomes zero always
A) Rises
B) Falls
C) Must become zero
D) Equals money supply
A) Stock
B) Flow
C) Velocity
D) Price index
A) Turnover rate of money
B) Stock of capital
C) Number of banks
D) Tax rate
A) Doubles
B) Halves
C) Remains constant
D) Becomes zero
A) Rises
B) Falls
C) Is unchanged
D) Must become zero
A) 2
B) 4
C) 5
D) 10
A) 160
B) 805
C) 4,000
D) 8,000
A) 2,000
B) 3,000
C) 6,003
D) 18,000
A) 0.2
B) 2
C) 5
D) 20
A) 2
B) 4
C) 8
D) 25
A) 10
B) 1
C) 0.10
D) 0.01
A) 2
B) 5
C) 10
D) 50
P = MV/Y = 5,000/500 = 10
A) 100
B) 200
C) 400
D) 8,000
Y = MV/P = 8,000/20 = 400
A) 3%
B) 5%
C) 8%
D) 13%
A) 4%
B) 6%
C) 8%
D) 20%
A) 1%
B) 5%
C) 9%
D) 20%
A) −1%
B) 1%
C) 5%
D) 21%
10 + V = 6 + 5 → V = 1%
A) 2
B) 4
C) 5
D) 25
A) ₹1,000 crore
B) ₹2,000 crore
C) ₹4,000 crore
D) ₹32,000 crore
A) 0.1
B) 1
C) 10
D) 100
A) Velocity is the stock of money
B) Velocity measures turnover of money
C) Velocity and k are directly related
D) Fisher used k instead of V
A) Fisher – Transactions Approach
B) Fisher – Accelerator
C) Cambridge – MV = PT only
D) Marshall – Risk Theory of Profit
A) Cambridge – Cash-Balance Approach
B) Cambridge – Rent Theory of Profit
C) Fisher – Innovation Theory
D) Marshall – Accelerator Principle
A) V = PY/M for income velocity
B) k = 1/V under the simple Cambridge relation
C) Every increase in money supply always causes an equal percentage increase in prices
D) Velocity can change over time
A) Falls
B) Rises
C) Doubles necessarily
D) Becomes infinite
A) Value of transactions
B) Public taxes
C) Personal transfers
D) Price times tax rate
A) Nominal output/income
B) Real money balance only
C) Bank reserves
D) Fiscal deficit
A) Affect velocity
B) Never affect velocity
C) Eliminate money supply
D) Make GDP zero
A) It represents desired money balances relative to nominal income
B) It is the investment multiplier
C) It is the reserve ratio
D) It is inflation itself
A) 0.5
B) 1
C) 2
D) 5
A) Assertion and Reason are true; Reason correctly explains Assertion.
B) Both are true; Reason is not the correct explanation.
C) Assertion is true; Reason is false.
D) Assertion is false; Reason is true.
Reason: It indicates how frequently a unit of money supports expenditure during a period.
Reason: PT represents the money value of transactions.
Reason: V = 1/k.
Reason: Real output and velocity can change.
Reason: Their approach examines the proportion of nominal income people wish to hold as money.
A) Cambridge approach
B) Fisher's transactions form only
C) Accelerator
D) Phillips Curve
A) Falls
B) Rises
C) Remains unchanged
D) Becomes infinite
A) Rises
B) Falls
C) Must remain constant
D) Becomes zero
A) k
B) P
C) M
D) Y
A) MV = PY
B) C = a+bY
C) S = Y−C
D) MR = MC
V = PT / M
Fisher Equation
MV = PT
Income Velocity
V = PY / M
Income Equation
MV = PY
Cambridge Equation
M = kPY
Cash-Balance Ratio
k = M / PY
Relationship
V = 1/k
k = 1/V
Approximate Inflation
%ΔP ≈ %ΔM + %ΔV − %ΔY
| Concept | Remember |
|---|---|
| Velocity | Rate of money turnover |
| Transactions Velocity | PT / M |
| Income Velocity | PY / M |
| Fisher | Transactions Approach |
| Fisher Equation | MV = PT |
| Income Equation | MV = PY |
| Cambridge | Cash-Balance Approach |
| Cambridge Equation | M = kPY |
| k | Fraction of nominal income held as money |
| V and k | V = 1/k |
| k ↑ | V ↓ |
| k ↓ | V ↑ |
| M ↑, V & Y fixed | P ↑ |
| Money holding ↑ | Velocity ↓ |
Transactions Velocity → PT/M
Income Velocity → PY/M
Irving Fisher → Transactions Approach
Fisher Equation → MV = PT
Income Equation → MV = PY
Cambridge Approach → Cash-Balance Approach
Cambridge Equation → M = kPY
k → Fraction of nominal income held as money
V = 1/k
k ↑ → V ↓
k ↓ → V ↑
Money Holding ↑ → Velocity ↓
Money Holding ↓ → Velocity ↑
Simple Quantity Theory: If V and output/transactions remain fixed, M ↑ → P ↑
Approximate Inflation → Money Growth + Velocity Growth − Real Output Growth
Velocity of Money → Transactions Velocity → Income Velocity → Irving Fisher → MV = PT → MV = PY → Quantity Theory → Cambridge Cash-Balance Approach → M = kPY → V = 1/k → Determinants of Velocity → Numericals
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