19.9.26

Saving – పొదుపు. ASO Economics

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Incomeలో Consumption చేయకుండా మిగిలిన భాగాన్ని Saving – పొదుపు అంటారు. Consumption మరియు Saving ఒకదానితో ఒకటి నేరుగా సంబంధం కలిగిన ముఖ్యమైన macroeconomic concepts.

Basic Identity

Income = Consumption + Saving

Y = C + S
Saving – పొదుపు అంటే ఏమిటి?

Disposable incomeలో consumption expenditureకు ఉపయోగించకుండా మిగిలిన భాగాన్ని Saving అంటారు.

S = Y − C

ఇక్కడ:

S = Saving

Y = Income

C = Consumption
Example

Income = ₹10,000
Consumption = ₹8,000

S = Y − C

= 10,000 − 8,000

Saving = ₹2,000
Saving Function

Saving మరియు Income మధ్య functional relationshipను Saving Function అంటారు.

Consumption function:

C = a + bY

Y = C + S కాబట్టి:

S = Y − C

S = Y − (a + bY)

S = Y − a − bY
S = −a + (1 − b)Y
ఇక్కడ:

−a = Autonomous Dissaving

1 − b = Marginal Propensity to Save (MPS)
Autonomous Saving / Dissaving

Income zero అయినప్పుడు consumption functionలో autonomous consumption ఉన్నట్లయితే saving negativeగా ఉంటుంది.

When Y = 0,

S = −a

దీనిని simple Keynesian modelలో Autonomous Dissavingగా అర్థం చేసుకోవచ్చు.

Example:

C = 100 + 0.8Y అయితే,

Y = 0 వద్ద C = 100

S = 0 − 100

S = −100
Positive Saving, Zero Saving and Dissaving
Condition Relationship Result
Consumption < Income C < Y Positive Saving
Consumption = Income C = Y Zero Saving
Consumption > Income C > Y Dissaving / Negative Saving
Exam Trap

Dissaving అంటే saving చేయకపోవడం మాత్రమే కాదు.

It means Saving is negative: S < 0.
Average Propensity to Save – APS

Total Incomeలో ఎంత proportion save చేస్తున్నారో Average Propensity to Save తెలియజేస్తుంది.

APS = S ÷ Y
Example

Income = ₹1,000
Saving = ₹200

APS = 200 / 1000

APS = 0.2

అంటే incomeలో 20% saving అవుతోంది.

Marginal Propensity to Save – MPS

Incomeలో వచ్చిన additional changeలో ఎంత proportion savingకు వెళుతుందో Marginal Propensity to Save తెలియజేస్తుంది.

MPS = ΔS ÷ ΔY
Example

Income ₹1,000 నుంచి ₹1,500కు పెరిగింది.
Saving ₹200 నుంచి ₹300కు పెరిగింది.

ΔY = ₹500

ΔS = ₹100

MPS = 100 / 500

MPS = 0.2
APS vs MPS
APS MPS
Average Propensity to Save Marginal Propensity to Save
S / Y ΔS / ΔY
Total saving relative to total income Change in saving relative to change in income
APC and APS Relationship

Income:

Y = C + S

Yతో divide చేస్తే:

1 = C/Y + S/Y
APC + APS = 1
APS = 1 − APC
MPC and MPS Relationship

Incomeలో వచ్చిన change consumption మరియు saving మధ్య విభజించబడుతుంది.

ΔY = ΔC + ΔS

ΔYతో divide చేస్తే:

MPC + MPS = 1
MPS = 1 − MPC

MPC = 1 − MPS
Memory Trick

Average + Average: APC + APS = 1

Marginal + Marginal: MPC + MPS = 1
Saving Schedule

Suppose consumption function:

C = 100 + 0.8Y

Then:

S = −100 + 0.2Y
Income (Y) Consumption (C) Saving (S)
0100−100
100180−80
200260−60
300340−40
400420−20
5005000
60058020
80074060
1000900100
Saving Curve – Graph
S
Income (Y)
S = −a + sY
−a
Break-Even
Graph Interpretation

Saving curve vertical-axis intercept = −a

Saving curve slope = MPS

Saving curve X-axisను cross చేసే point = Break-Even Income
Break-Even Point

Break-even point వద్ద income మొత్తం consumptionకు ఉపయోగించబడుతుంది. Saving zero.

Y = C
S = 0
APC = 1    and    APS = 0
Break-Even Income Formula

Saving function:

S = −a + (1−b)Y

Break-even వద్ద S = 0.

0 = −a + (1−b)Y

a = (1−b)Y
Break-Even Income = a ÷ (1 − b)

Since MPS = 1−b:

Break-Even Income = a ÷ MPS
Example

C = 200 + 0.75Y

a = 200
MPC = 0.75
MPS = 0.25

Break-Even Income
= 200 / 0.25

= ₹800
Determinants of Saving

Savingను income మాత్రమే కాకుండా అనేక economic మరియు behavioural factors ప్రభావితం చేస్తాయి.

1. Level of Income

Income పెరిగినప్పుడు consumption అవసరాలు తీర్చిన తరువాత saving చేయగల capacity సాధారణంగా పెరుగుతుంది.

2. Rate of Interest

Interest rate saving decisionsపై ప్రభావం చూపవచ్చు. Higher return on financial saving కొన్ని సందర్భాల్లో householdsను ఎక్కువ saving చేయడానికి ప్రోత్సహించవచ్చు.

3. Future Expectations

Future income, employment లేదా economic uncertainty గురించి expectations saving behaviourను ప్రభావితం చేస్తాయి.

4. Precautionary Motive

Future emergencies, illness, unemployment లేదా unexpected expenditure కోసం households precautionary saving చేయవచ్చు.

5. Taxation

Taxes disposable incomeను ప్రభావితం చేస్తాయి. Disposable incomeలో మార్పు consumption మరియు saving రెండింటినీ ప్రభావితం చేయవచ్చు.

6. Wealth

Existing wealth level household saving behaviourను ప్రభావితం చేయవచ్చు.

7. Inflation and Price Expectations

Inflation real purchasing power మరియు financial returnsను ప్రభావితం చేయడం ద్వారా saving patternను మార్చవచ్చు.

8. Availability of Credit

Easy credit availability current consumptionను support చేయడం వల్ల current saving behaviourపై ప్రభావం చూపవచ్చు.

9. Social and Demographic Factors

Age, family size, dependency ratio, retirement needs మరియు social security arrangements saving decisionsపై ప్రభావం చూపుతాయి.

Motives for Saving
✓ Future consumption

✓ Emergency / precaution

✓ Education

✓ Marriage and family needs

✓ Purchase of assets

✓ Retirement

✓ Financial security

✓ Business purposes

✓ Wealth accumulation
Saving and Investment

Macroeconomicsలో Saving మరియు Investmentకు ముఖ్యమైన సంబంధం ఉంది.

Simple closed economy without governmentలో national-income accounting identity ప్రకారం:

S = I
Important Conceptual Caution

Individual household saving మరియు individual firm's investment ఒకే activity కావు.

Saving → Income not consumed

Investment → Addition to productive capital / inventories in macroeconomic usage.
Ex-Ante Saving and Ex-Ante Investment

Ex-Ante అంటే planned or intended.

Ex-Ante Saving → Planned Saving

Ex-Ante Investment → Planned Investment

Planned saving మరియు planned investment తప్పనిసరిగా ప్రతి income level వద్ద equal కావాల్సిన అవసరం లేదు.

Ex-Post Saving and Ex-Post Investment

Ex-Post అంటే actually realised.

Ex-Post Saving → Actual Saving

Ex-Post Investment → Actual Investment
National-income accountingలో appropriate frameworkలో Ex-Post Saving = Ex-Post Investment.
Paradox of Thrift

Saving గురించి అత్యంత ముఖ్యమైన Keynesian conceptsలో Paradox of Thrift ఒకటి.

ఒక individual ఎక్కువగా save చేయడం అతనికి beneficial కావచ్చు. కానీ economyలో అందరూ ఒకేసారి consumptionను తగ్గించి ఎక్కువ save చేయడానికి ప్రయత్నిస్తే aggregate demand తగ్గవచ్చు.

Households attempt to Save More

Consumption ↓

Aggregate Demand ↓

Output / Income ↓

Employment may ↓

Actual aggregate saving may fail to rise as intended
Core Idea:

What may be desirable for one individual need not produce the same result when everyone does it simultaneously.
Memory Trick

Individual Virtue → May become a Macro Problem

This is the essence of the Paradox of Thrift.
Saving and Economic Growth

Saving can provide resources for investment through the financial system. Productive investment can expand capital formation and future productive capacity.

Saving

Financial Intermediation

Investment

Capital Formation

Potential Output / Growth
Exam Caution

Higher saving by itself does not automatically guarantee higher investment or growth. Financial intermediation, investment demand, institutions and productive opportunities also matter.
Personal, Private and National Saving

Macroeconomic analysis may distinguish saving according to the institutional sector doing the saving.

Type Broad Meaning
Household / Personal Saving Saving by households
Corporate Saving Retained saving of corporate enterprises
Private Saving Broadly household + private corporate saving
Government / Public Saving Saving generated by government sector under the relevant national-accounting definition
National Saving Aggregate domestic saving across institutional sectors
Saving Function – Important Numerical

Given:

C = 300 + 0.6Y

Find Saving Function.

S = Y − C

S = Y − (300 + 0.6Y)

S = Y − 300 − 0.6Y

S = −300 + 0.4Y
Autonomous Dissaving = −300

MPS = 0.4
Important Formula Sheet
Concept Formula
IncomeY = C + S
SavingS = Y − C
Consumption FunctionC = a + bY
Saving FunctionS = −a + (1−b)Y
APCC/Y
APSS/Y
MPCΔC/ΔY
MPSΔS/ΔY
APC + APS1
MPC + MPS1
Break-Even Incomea/(1−b) = a/MPS
Simple Multiplier1/MPS = 1/(1−MPC)
Exam-Oriented MCQs
1. Saving is:

A) Y + C
B) Y − C
C) C − Y always
D) Y × C

సమాధానం: B) Y − C
2. Income identity:

A) Y = C + S
B) Y = C − S
C) Y = C × S
D) Y = S/C

సమాధానం: A
3. APS formula:

A) ΔS/ΔY
B) S/Y
C) C/Y
D) ΔC/ΔY

సమాధానం: B) S/Y
4. MPS formula:

A) S/Y
B) ΔS/ΔY
C) C/Y
D) ΔC/ΔS

సమాధానం: B
5. APC + APS =

A) 0
B) 1
C) 2
D) 100

సమాధానం: B) 1
6. MPC + MPS =

A) 0
B) 1
C) −1
D) 2

సమాధానం: B) 1
7. MPC = 0.7 అయితే MPS:

A) 0.2
B) 0.3
C) 0.7
D) 1.7

సమాధానం: B) 0.3
8. APC = 0.85 అయితే APS:

A) 0.15
B) 0.85
C) 1.15
D) 1.85

సమాధానం: A) 0.15
9. Saving function slope:

A) APC
B) MPC
C) MPS
D) APS

సమాధానం: C) MPS
10. Break-even point వద్ద:

A) S > 0
B) S = 0
C) S < 0 always
D) Y = 0

సమాధానం: B
11. Break-even point వద్ద:

A) C = Y
B) C > Y
C) C = 0
D) C < Y necessarily

సమాధానం: A
12. C > Y అయితే:

A) Positive Saving
B) Dissaving
C) Zero Saving
D) MPS = 1

సమాధానం: B
13. Positive saving condition:

A) C > Y
B) C = Y
C) C < Y
D) Y = 0

సమాధానం: C
14. C = a + bY అయితే Saving Function:

A) S = a + bY
B) S = −a + (1−b)Y
C) S = a − bY
D) S = Y + C

సమాధానం: B
15. Saving functionలో −a సూచించేది:

A) MPC
B) Autonomous Dissaving
C) Investment
D) Income

సమాధానం: B
16. Paradox of Thrift ప్రధానంగా సంబంధం కలిగిన economist:

A) Keynesian economics
B) Marshall's demand law only
C) Ricardo's rent only
D) Fisher's quantity equation only

సమాధానం: A
17. Paradox of Thrift ప్రకారం all households simultaneously try to save more by reducing consumption:

A) Aggregate demand may fall
B) Aggregate demand must rise
C) Income must remain unchanged
D) Prices alone determine saving

సమాధానం: A
18. Ex-Ante means:

A) Actual / realised
B) Planned / intended
C) Historical only
D) Foreign

సమాధానం: B
19. Ex-Post means:

A) Planned
B) Intended
C) Actual / realised
D) Expected only

సమాధానం: C
20. Simple closed economy accounting identity:

A) S = I
B) S = C
C) I = C always
D) Y = 0

సమాధానం: A) S = I
Numerical MCQs
21. Y = ₹1,000, C = ₹800. Saving:

A) ₹100
B) ₹200
C) ₹800
D) ₹1,800

సమాధానం: B) ₹200
22. పై questionలో APS:

A) 0.2
B) 0.8
C) 1.2
D) 2

సమాధానం: A) 0.2
23. C = 100 + 0.8Y అయితే Saving Function:

A) S = 100 + 0.2Y
B) S = −100 + 0.2Y
C) S = −100 + 0.8Y
D) S = 100 − 0.2Y

సమాధానం: B
24. పై functionలో MPS:

A) 0.1
B) 0.2
C) 0.8
D) 1.8

సమాధానం: B) 0.2
25. పై functionలో break-even income:

A) ₹100
B) ₹200
C) ₹500
D) ₹800

సమాధానం: C) ₹500
26. Income rises by ₹500 and Saving rises by ₹100. MPS:

A) 0.1
B) 0.2
C) 0.5
D) 5

సమాధానం: B) 0.2
27. పై dataలో MPC:

A) 0.2
B) 0.4
C) 0.8
D) 1.2

సమాధానం: C) 0.8
28. MPS = 0.25 అయితే simple multiplier:

A) 2
B) 4
C) 5
D) 25

సమాధానం: B) 4
29. MPC = 0.9 అయితే MPS:

A) 0.1
B) 0.9
C) 1.0
D) 1.9

సమాధానం: A) 0.1
30. MPC = 0.9 అయితే simple multiplier:

A) 5
B) 9
C) 10
D) 90

సమాధానం: C) 10
31. C = 200 + 0.75Y. Saving Function:

A) −200 + 0.25Y
B) 200 + 0.25Y
C) −200 + 0.75Y
D) 200 − 0.75Y

సమాధానం: A
32. పై functionలో break-even income:

A) ₹400
B) ₹600
C) ₹800
D) ₹1,000

సమాధానం: C) ₹800
33. Income ₹600, Consumption ₹650. Saving:

A) ₹50
B) −₹50
C) ₹1,250
D) 0

సమాధానం: B) −₹50
34. S = −150 + 0.3Y. MPS:

A) −150
B) 0.3
C) 0.7
D) 150

సమాధానం: B) 0.3
35. పై functionలో MPC:

A) 0.3
B) 0.5
C) 0.7
D) 1.3

సమాధానం: C) 0.7
Tricky MCQs
36. APS negative అయితే:

A) Saving positive
B) Saving negative
C) Saving zero
D) Income zero necessarily

సమాధానం: B
37. APS = 0 అయితే:

A) C = Y
B) C > Y
C) C = 0
D) MPS = 0 necessarily

సమాధానం: A
38. MPS = 0.4 means:

A) 40% of total income is always saved
B) 40% of additional income is saved
C) 40% of consumption is saved
D) Saving is ₹0.40

సమాధానం: B
39. APS = 0.4 means:

A) 40% of total income is saved
B) 40% of additional income is saved
C) MPC = 0.4 necessarily
D) Income is zero

సమాధానం: A
40. Which is correct?

A) APS and MPS are always identical
B) APS uses total values; MPS uses changes
C) MPS = S/Y
D) APS = ΔS/ΔY

సమాధానం: B
Assertion–Reason Questions
Code

A) Assertion మరియు Reason రెండూ సరైనవి; Reason సరైన వివరణ.

B) రెండూ సరైనవి; Reason సరైన వివరణ కాదు.

C) Assertion సరైనది; Reason తప్పు.

D) Assertion తప్పు; Reason సరైనది.
41. Assertion: MPC + MPS = 1.
Reason: Additional income is divided between additional consumption and saving.
సమాధానం: A
42. Assertion: Break-even point వద్ద APS = 0.
Reason: Break-even point వద్ద saving is zero.
సమాధానం: A
43. Assertion: Dissaving occurs when consumption exceeds income.
Reason: S = Y − C.
సమాధానం: A
44. Assertion: Higher intended saving by everyone necessarily raises aggregate realised saving by the same amount.
Reason: Reduced consumption can lower aggregate demand and income.
సమాధానం: D
45. Assertion: Saving function slope is MPS.
Reason: MPS measures change in saving relative to change in income.
సమాధానం: A
Rapid-Fire MCQs
46. If MPC rises, MPS:

A) Rises by same amount
B) Falls
C) Remains necessarily unchanged
D) Becomes greater than 1

సమాధానం: B
47. At zero income, C = a. Therefore saving is:

A) a
B) −a
C) 0 always
D) 1−a

సమాధానం: B) −a
48. If MPS = 0.2, every additional ₹100 income adds how much saving?

A) ₹10
B) ₹20
C) ₹80
D) ₹100

సమాధానం: B) ₹20
49. If APS = −0.1:

A) Household/economy is dissaving under the stated measure
B) Saving is positive
C) APC must be zero
D) Income must be zero

సమాధానం: A
50. If APS = −0.1, APC equals:

A) 0.9
B) 1.0
C) 1.1
D) −1.1

సమాధానం: C) 1.1
One-Minute Master Table
Concept Remember
SavingY − C
Saving Function−a + (1−b)Y
APSS/Y
MPSΔS/ΔY
APC + APS1
MPC + MPS1
Saving Curve SlopeMPS
Break-EvenS = 0 and C = Y
DissavingS < 0
Positive SavingC < Y
Ex-AntePlanned
Ex-PostActual / Realised
Paradox of ThriftAttempt to save more collectively may reduce aggregate demand and income
Simple Multiplier1/MPS
చివరి నిమిషం పునశ్చరణ
Saving → Income not consumed

S = Y − C

Consumption Function → C = a + bY

Saving Function → S = −a + (1−b)Y

APS → S/Y

MPS → ΔS/ΔY

APC + APS → 1

MPC + MPS → 1

Saving Function Slope → MPS

Break-Even → C = Y and S = 0

Below Break-Even → Dissaving

Above Break-Even → Positive Saving

Ex-Ante → Planned

Ex-Post → Actual / Realised

Paradox of Thrift → Collective attempt to save more can reduce aggregate demand and income

Multiplier → 1/MPS = 1/(1−MPC)
Exam Final Recall

Saving → Saving Function → APS → MPS → APC–APS Relationship → MPC–MPS Relationship → Break-Even → Dissaving → Ex-Ante & Ex-Post → Saving–Investment Relationship → Paradox of Thrift
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