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Resources › Macroeconomics › 6. Consumption
Macroeconomics · Lesson 6 of 9

Consumption: Keynes, Friedman and Modigliani

Consumption is the biggest part of spending, and the multiplier depends on how it responds to income. Keynes assumed it follows this year’s income; Friedman and Modigliani argued people look much further ahead. Each theory is a different answer to one question: what income does a household consume out of?

← Macroeconomics moduleLesson 6 of 9 · about 40 minutes
1Measuring2Real vs nominal3Classical vs Keynes4Keynesian cross5Fiscal multipliers6Consumption7Investment8Money9Hard problems
A question to hold on to
People start earning and consuming at 18, retire at 60 and die at 90, leaving no debts or bequests. Income at age t is 100t − t². Prices are constant and the interest rate is zero. According to the life-cycle theory, what is an individual’s average annual consumption?
IIT JAM Economics, 2021Solved at the end ↓
In this guide
Lesson · about 40 minutes
  1. Keynes's consumption function
  2. A puzzle in the data
  3. Relative income: keeping up with the neighbours
  4. Choosing between today and tomorrow
  5. The life-cycle hypothesis
  6. The permanent income hypothesis
  7. Who said what
  8. The opening question, solved
  9. The lesson on one screen
  10. Check yourself
  11. Past papers, by level
01
The start

Keynes's consumption function

Keynes’s “fundamental psychological law”: as income rises, consumption rises, but by less than income (Hyderabad 2010). He also expected the rich to save a larger share. The straight line C = a + bY, with a > 0 and 0 < b < 1, captures both. This is the absolute income hypothesis: consumption depends on current disposable income (CUET 2019).

Average and marginal propensities
APC=YC​=Ya​+bMPC=dYdC​=b
The APC is consumption per rupee of income; the MPC is consumption per extra rupee. APC + APS = 1 and MPC + MPS = 1.

Three consequences, each asked many times: the MPC is constant; the APC is always above the MPC (because a/Y > 0); and as income rises the APC falls towards the MPC. So the share saved rises with income. GATE 2023 asked for the APC formula itself, a/Y + b.

Pause and predict
Which statement is NOT correct for the Keynesian absolute income hypothesis? (GATE 2025)
02
The evidence

A puzzle in the data

Keynes’s function fitted short-run and cross-section data: richer households, and boom years, had lower APCs. But Simon Kuznets’s long-run estimates for the United States showed the APC roughly constant over many decades, even as income multiplied. If the APC fell with income, saving should have become an ever larger share of income. It didn’t.

A falling APC in the short run with a stable one in the long run is the consumption puzzle. The three theories that follow are three ways of resolving it.

03
Duesenberry

Relative income: keeping up with the neighbours

James Duesenberry argued that people care about their income relative to others, and relative to their own past peak.

  • The demonstration effect. Households copy the consumption of those around them, so a family’s saving depends on its place in the distribution, not its absolute income. When everyone gets richer together, the APC need not fall. Duesenberry coined the phrase (UGC NET 2024).
  • The ratchet effect. Once used to a standard of living, people defend it. Consumption rises easily with income but falls reluctantly when income falls: households find it easier to adjust to rising incomes than to falling ones (Hyderabad 2013). In recessions the APC rises.

Arthur Smithies and James Tobin explained the long-run stability differently, by an upward drift of the short-run consumption function over time; UGC NET matched “drift theory” to them in 2026.

04
Interactive

Choosing between today and tomorrow

Irving Fisher’s model is the foundation of the modern theories. A consumer lives two periods and can save or borrow at interest rate r. Whatever she doesn’t consume now is worth (1 + r) times as much later, so her choices lie on one budget line:

The intertemporal budget constraint
c1​+1+rc2​​=y1​+1+ry2​​
The present value of consumption equals the present value of income, her lifetime wealth W.

She discounts future utility at rate ρ, her impatience. At the best choice, the gain from shifting a rupee to the future (1 + r) just balances her impatience (1 + ρ), weighted by how much she dislikes uneven consumption (σ). That condition is the Euler equation.

The Euler equation
c1​c2​​=(1+ρ1+r​)1/σlog utility: c1​c2​​=1+ρ1+r​
u(c) = c^(1−σ)/(1−σ), with log utility at σ = 1. The elasticity of substitution between periods is 1/σ.

Income 210 now and nothing later; saving earns 10%. She consumes the same in both periods, which here happens when ρ = r.

5010015020025050100150200250300c₁c₂income(110, 110)
Lifetime wealth

W = y₁ + y₂/(1 + r) = 210 + 0/1.1 = 210. The budget line has slope −(1 + r).

The Euler equation

c₂/c₁ = ((1 + r)/(1 + ρ))1/σ = 1. r = ρ: smooth consumption exactly, c₁ = c₂.

Her choice

c₁ = 110 and c₂ = 110, so she saves 100 now.

Two lessons from the lab. First, consumption depends on lifetime wealth, not this year’s income: move income between the periods keeping W fixed and nothing changes. Second, if she can’t borrow, consumption follows current income after all. Borrowing constraints are one reason Keynes’s function fits some households well.

GATE 2026 · standard
Income is 210 in period 1 and nothing in period 2. Savings earn 10% real. She consumes equal amounts in both periods. What is her current consumption?
  1. 1
    Budget.
    c₁ + c₂/1.1 = 210.
  2. 2
    Equal consumption.
    c₁(1 + 1/1.1) = 210, so c₁ = 210 × 1.1/2.1 = 110.
  3. 3
    Check.
    She saves 100, which grows to 110 in period 2.
Answer
110.
IIT JAM 2023 · standard
A consumer maximises ln ct + ln ct+1/(1 + θ) with θ = 0.05 and r = 0.08. What is ct+1/ct?
  1. 1
    Log utility Euler equation.
    ct+1/ct = (1 + r)/(1 + θ) = 1.08/1.05 = 1.0286.
Answer
1.03. Because r > θ, consumption grows: the Delhi School asks the same in general form (Lesson 9).
05
Interactive

The life-cycle hypothesis

Franco Modigliani, with Richard Brumberg and later Albert Ando, applied Fisher’s idea to a whole life. Income is low in youth, peaks in middle age and stops at retirement; people want smooth consumption. So they borrow when young, save hard in their working years and run their savings down in retirement (Hyderabad 2017). Consumption depends on wealth and expected lifetime labour income, both in present value (UGC NET 2026).

Income at age t is 100t − t² while working. The individual consumes the same amount every year from 18 until death, leaving nothing behind.

1020304050607080901005001000150020002500age₹ a yearincomeconsumption 1,302savesdissaves
Lifetime income

∫ from 18 to 60 of (100t − t²) dt = 93,744

Consumption each year

93,744 ÷ (90 − 18) years = 1,302

Wealth on retiring

Savings built up by 60: 39,060, run down to zero by 90.

Counting whole years instead

Adding income at ages 18, 19, …, 59 gives 93,275, so 1,295.5 a year. The JAM key used the integral.

Consumption in the life-cycle model
C=TW+remaining lifetime income​
With zero interest and no bequests: wealth W plus remaining lifetime income, spread over the remaining T years of life.

It resolves the puzzle: in a single year, someone whose income is temporarily high (a middle-aged earner) has a low APC; across the economy, the age mix is stable, so the aggregate APC is stable too.

06
Friedman

The permanent income hypothesis

Milton Friedman (1957) split measured income into permanent income, what a household expects to earn on average over the long run, and transitory income, the lucky or unlucky deviation this year. People consume a steady fraction of permanent income. A rise in permanent income raises permanent consumption (Hyderabad 2011); a transitory windfall is mostly saved.

Friedman's consumption function
Y=YP+YTC=kYP

So the marginal propensity to consume out of a permanent change in income is close to one, and out of a temporary change close to zero. That is the cleanest contrast with Keynes, and JNU 2018’s answer: a temporary windfall is consumed under a Keynesian function but saved under the permanent income hypothesis.

Tests of the theory found two anomalies, asked by UGC NET in 2023: excess sensitivity, consumption responding too much to predictable or temporary income changes, and excess smoothness, consumption responding too little to changes in permanent income.

JNU 2011 · standard
A consumer lives three 20-year periods: youth, middle age, retirement. He earns ₹2,500 a month in youth; in middle age ₹5,000 a month with probability 1/4, otherwise ₹10,000; nothing in retirement. Interest and inflation are zero. Find expected middle-age earnings, the present value of lifetime labour income, and the monthly saving in youth if he wants the same expected consumption in every period.
  1. 1
    Middle age.
    Expected rate ¼ × 5,000 + ¾ × 10,000 = ₹8,750 a month; × 240 months = ₹21 lakh. Not 18, 20 or 30: “none of the above”.
  2. 2
    Lifetime.
    Youth: 2,500 × 240 = ₹6 lakh. Total ₹27 lakh.
  3. 3
    Smooth consumption.
    27 lakh ÷ 720 months = ₹3,750 a month. Saving in youth: 2,500 − 3,750 = −₹1,250 a month.
Answer
₹21 lakh, ₹27 lakh, and saving of −₹1,250 a month: he borrows while young.
JNU 2019 · standard
The poor (20% of people) earn ₹500 and spend it all; the middle class (50%) earn ₹2,000 and spend ₹1,500; the rich (30%) earn ₹10,000 and consume 80%. What is the overall saving rate?
  1. 1
    Per 10 people.
    Income: 2 × 500 + 5 × 2,000 + 3 × 10,000 = 41,000. Saving: 0 + 5 × 500 + 3 × 2,000 = 8,500.
  2. 2
    Rate.
    8,500 ÷ 41,000 = 20.7%.
Answer
About 21%. Averaging the three saving rates (0, 25% and 20%) would ignore that the rich earn most of the income.
07
Names

Who said what

TheoryAssociated withConsumption depends on
Absolute income hypothesisJ. M. KeynesCurrent disposable income
Relative income hypothesis; demonstration and ratchet effectsJames DuesenberryIncome relative to others and to past peak
Drift of the consumption functionArthur Smithies; James TobinCurrent income, with a function that shifts up over time
Intertemporal choiceIrving FisherLifetime wealth and the interest rate
Life-cycle hypothesisFranco Modigliani, with Richard Brumberg and Albert AndoWealth and expected lifetime income
Permanent income hypothesisMilton FriedmanPermanent income
The common thread

The last three are forward-looking: households smooth consumption over time, so consumption responds to changes in lifetime resources, not to every change in this year’s income. That makes the short-run multiplier smaller than the simple Keynesian one, and a temporary tax cut weaker than a permanent one.

08
Solving the opening question

The opening question, solved

IIT JAM 2021 · standard
Earn from 18 until 60, die at 90, income 100t − t², zero interest, no bequest. Average annual consumption?
  1. 1
    Lifetime income, treating age as continuous.
    ∫ from 18 to 60 of (100t − t²) dt = [50t² − t³/3] from 18 to 60 = 93,744.
  2. 2
    Spread it over the years of consumption.
    From 18 to 90 is 72 years: 93,744 ÷ 72 = 1302.
Answer
1,302. Adding income year by year, at ages 18 to 59, gives 93,275 and 1,295.5 a year; the official key uses the integral, so treat age as continuous when a JAM question gives income as a formula in t.
Watch out for

The mistakes examiners are fishing for

  • Saying the APC rises with income in the Keynesian function. It falls towards the MPC.
  • Treating a windfall like a raise. Under the PIH and LCH it is spread over a lifetime; only a small part is consumed now.
  • Mixing up the names. Relative income: Duesenberry. Permanent income: Friedman. Life cycle: Modigliani. Absolute income: Keynes.
  • Getting the Euler equation backwards. r > ρ means consumption grows over time: c₂ > c₁.
09
Revise

The lesson on one screen

The lesson on one screen
Keynes
C = a + bY. MPC = b constant; APC = a/Y + b > MPC, falling towards it.
The puzzle
Short-run APC falls with income; long-run APC is stable (Kuznets).
Duesenberry
Relative income; demonstration effect; ratchet effect.
Fisher
c₁ + c₂/(1 + r) = y₁ + y₂/(1 + r). Euler: c₂/c₁ = ((1 + r)/(1 + ρ))^(1/σ).
Life cycle
Smooth consumption over life: borrow young, save in middle age, dissave in retirement.
Permanent income
C = kY^P. MPC out of permanent income ≈ 1, out of transitory ≈ 0.
Borrowing limits
Make consumption follow current income, as in Keynes.
10
Practice

Check yourself

0 of 8 correct so far

Compute

APC
C = 50 + 0.8Y. What is the APC when Y = 500?
Two periods
Income 100 now and 110 later, r = 10%, and ρ = r with log utility. How much does she consume now?
Life cycle
Someone works 40 years earning ₹30,000 a year, then lives 10 more years with no income. Interest is zero and there is no bequest. What does she consume each year?
Aggregating
Half the people earn 100 and save nothing; the other half earn 300 and save 30%. What is the economy’s saving rate, in per cent?

Quick questions

1For C = a + bY with a > 0, at every level of income
2Under the permanent income hypothesis, a one-year tax rebate mostly
3The ratchet effect implies that in a recession
4Which hypothesis says people gear consumption to long-term consumption opportunities rather than current income?
11
Real questions

Past papers, by level

Foundation

Definitions and one-step problems. Most CUET, UGC NET and Hyderabad questions sit here.

11 questionsPractise →

Standard

Two or three steps and data tables, up to the hardest JNU, JAM and GATE questions.

26 questionsPractise →

Delhi School level

This topic’s hardest questions, from the DSE entrance, are worked through in Lesson 9: Choosing over time.

10 questionsLesson 9 →
All 37 past-paper questions for this lesson, easiest first: practise the full set →

✦These are questions from the TestStop bank. A free account answers 10 a day, each with its worked solution; All-Access opens every set with no daily limit.

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