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Resources › Macroeconomics › 7. Investment
Macroeconomics · Lesson 7 of 9

Investment

Investment is a small part of spending but the most volatile, and Keynes blamed it for the instability of income. This lesson builds the three ways economists explain it: comparing returns with the interest rate, comparing market value with cost, and responding to growth itself.

← Macroeconomics moduleLesson 7 of 9 · about 40 minutes
1Measuring2Real vs nominal3Classical vs Keynes4Keynesian cross5Fiscal multipliers6Consumption7Investment8Money9Hard problems
A question to hold on to
Consumption depends on this period’s and last period’s output: C(t) = 0.6Y(t) + 0.3Y(t − 1). Investment is 2.4 times the change in output: I(t) = 2.4[Y(t) − Y(t − 1)]. With Y = C + I, at what rate does output grow?
JNU MA Economics entrance, 2014Solved at the end ↓
In this guide
Lesson · about 40 minutes
  1. What investment is, and why it swings
  2. Is a machine worth buying?
  3. The user cost of capital
  4. Tobin's q: asking the stock market
  5. The accelerator
  6. Multiplier meets accelerator
  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 idea

What investment is, and why it swings

In macroeconomics, investment means adding to the stock of capital: business fixed investment (machines, factories), residential investment (new houses) and inventory investment (additions to stocks of goods). Buying shares is not investment in this sense; it only changes who owns existing capital.

Firms hold inventories to meet demand, to smooth production and because some are unavoidable in the production process. Ordering in large, infrequent batches is usually cheaper than ordering small amounts often, which is why CUET 2025 made the opposite claim its odd one out. Housing investment depends on the real return from owning a home; high nominal interest rates with high inflation discourage it, and demand for housing is sensitive to the interest rate (CUET 2025).

Investment depends on expectations about an uncertain future. Keynes called the waves of optimism and pessimism behind it animal spirits, and saw them as the source of instability in income (Hyderabad 2014, 2017, 2018).

02
Interactive

Is a machine worth buying?

A machine costs K today and brings returns R₁, R₂, … in future years. Money later is worth less than money now, because money now could earn interest. At interest rate i, ₹1 in t years is worth 1/(1 + i)t today. The present value of the returns is their sum after discounting.

Present value and the marginal efficiency of capital
PV=t=1∑n​(1+i)tRt​​K=t=1∑n​(1+MEC)tRt​​
The MEC is the discount rate at which the returns are worth exactly the cost: the project's own rate of return.

A machine costs ₹1,000 and earns ₹300 a year for five years, then is worthless.

Invest
MEC 15.24%

Present value of the returns at 10%: ₹1,137.24, against a cost of ₹1,000. The machine earns more than borrowing costs (MEC > i).

Each bar is one year’s ₹300 valued today: later returns shrink by (1 + i) each year. Raise the interest rate and every bar after the first shrinks, most of all the distant ones, which is why investment falls when interest rates rise, and long-lived projects fall most.

A firm invests while the MEC exceeds the interest rate and stops where they are equal (Hyderabad 2011; JNU 2020). Equivalently, invest when the present value exceeds the cost. Because the most profitable projects are done first, the MEC falls as more is invested: that downward slope is the investment demand curve, and a lower interest rate moves the firm along it.

Anything that raises expected returns shifts the whole schedule out, raising investment and aggregate demand at every interest rate (Hyderabad 2011; DSE 2012). Pessimism, say after a shock to export demand, shifts it in (Hyderabad 2021). If investors become less sure of the future, they discount more heavily and expect less: both push the MEC down (Hyderabad 2011).

MEC and MEI

Keynes’s marginal efficiency of capital refers to the return on an extra unit of capital stock. The marginal efficiency of investment allows for the fact that when all firms invest faster, the price of capital goods rises, so the rate of return on a flow of investment is lower. The two coincide when net investment is zero (UGC NET 2024). JNU 2016 defined the MEI as the discount rate that equates expected returns with the cost of capital.

03
The neoclassical theory

The user cost of capital

Dale Jorgenson’s neoclassical theory asks what it costs to use a unit of capital for a year. Two things: the interest you could have earned on the money tied up in it, and the wear and tear. So the user cost (or rental cost) of capital is the real interest rate plus the depreciation rate (CUET 2022).

User cost and the desired capital stock
User cost=PK​(r+δ),r≈i−πeMPK=PPK​​(r+δ)
Pₖ: price of capital goods. r = i − π, the real interest rate. δ: depreciation rate. Firms want capital up to where its marginal product covers the user cost.

So a higher real interest rate raises the user cost, lowers the desired capital stock and cuts investment (Hyderabad 2021; UGC NET 2024). A faster depreciation rate does the same (DSE 2009). JNU 2016 accepted both “interest plus depreciation” and “interest plus depreciation minus expected inflation”: the second is the same thing with the nominal rate made real.

Pause and predict
The nominal interest rate is 8% and expected inflation 10%. Which is correct? (GATE 2023)
04
James Tobin

Tobin's q: asking the stock market

Tobin's q
q=replacement cost of that capitalmarket value of installed capital​
If q > 1, a firm can create capital worth more on the market than it costs to install. If q < 1, it is cheaper to buy existing capital (or whole firms) than to build.

Tobin’s q links investment to the stock market (GATE 2026). A rise in share prices raises q, and so raises investment (JNU 2016). Firms find it profitable to invest when q exceeds one (DSE 2016; Hyderabad 2021).

GATE 2024 · standard
XYZ Corp is financed entirely by equity. It earns ₹2.50 a share, its capitalisation rate is 20%, it has 10,000 shares, and its real assets would cost ₹1,25,000 to replace. What is its q?
  1. 1
    Value of a share.
    A perpetual ₹2.50 capitalised at 20%: 2.50 ÷ 0.20 = ₹12.50.
  2. 2
    Market value of the firm.
    12.50 × 10,000 = ₹1,25,000.
  3. 3
    q.
    1,25,000 ÷ 1,25,000 = 1.
Answer
1: the market values the firm at exactly what its capital would cost to rebuild, so there is no gain from expanding.
05
Growth feeds investment

The accelerator

Suppose firms need v rupees of capital to produce each rupee of output a year. To produce more, they must first add capital. So net investment depends on the change in output, not its level (CUET 2018, 2019):

The accelerator
It​=v(Yt​−Yt−1​)
v = K/Y, the capital–output ratio. It has the dimension of time: rupees of capital per rupee of output per year (JNU 2010).

Because v is usually above one, a small rise in demand for consumer goods causes a proportionately larger rise in investment (Hyderabad 2013). And in the linear accelerator nothing depends on expectations: investment is a mechanical response to output growth.

Keep the two ideas apart, as JNU 2015 did: the multiplier takes a change in investment to a change in output; the accelerator takes a change in output to a change in investment. If investment also rises with the level of income, with marginal propensity to invest MPI, the multiplier becomes Hicks’s super multiplier, 1/(1 − MPC − MPI) (UGC NET 2026).

06
Interactive

Multiplier meets accelerator

Paul Samuelson (1939) put the two together. Government spending rises once and for all. The multiplier raises income, the rise in income raises consumption, the rise in consumption induces investment, which raises income further, until growth slows, investment falls back and income falls. Depending on c and v, the path settles smoothly, cycles and settles, cycles ever wider, or takes off.

510152025300.511.522.53periodYmultiplier alone: 2
What happens

Damped cycles. Output overshoots 2, falls back, and the swings die out.

The first periods

Y = 0, 1, 2, 2.5, 2.5, 2.25, …

That a model this simple generates business cycles from a single shock is why it is still taught. The Delhi School goes one step further and asks what happens when investment depends on expected output, formed statically (last period’s value) or rationally (using all available information). Those questions are in Lesson 9.

07
Names

Who said what

IdeaAssociated with
Marginal efficiency of capital; animal spiritsJ. M. Keynes
Neoclassical theory of investment (user cost)Dale Jorgenson
q theoryJames Tobin
Multiplier–accelerator modelPaul Samuelson
Super multiplierJ. R. Hicks

CUET 2023 matched the first four.

08
Solving the opening question

The opening question, solved

JNU 2014 · standard
C(t) = 0.6Y(t) + 0.3Y(t − 1), I(t) = 2.4[Y(t) − Y(t − 1)], Y = C + I. Find the growth rate of output.
  1. 1
    Substitute.
    Y(t) = 0.6Y(t) + 0.3Y(t − 1) + 2.4Y(t) − 2.4Y(t − 1).
  2. 2
    Collect terms.
    Y(t)(1 − 0.6 − 2.4) = (0.3 − 2.4)Y(t − 1), so −2Y(t) = −2.1Y(t − 1).
  3. 3
    Growth.
    Y(t) = 1.05Y(t − 1): output grows 5% every period.
Answer
5%. Investment of 2.4 times the growth in output is what keeps the growth going: a growth path sustained by the accelerator.
Watch out for

The mistakes examiners are fishing for

  • Counting financial assets as investment. Shares and bonds change ownership; only new capital goods and inventories are investment.
  • Comparing the MEC with the wrong rate. Invest while MEC > i; stop where they are equal.
  • Using the nominal rate in the user cost. It is the real rate plus depreciation.
  • Swapping multiplier and accelerator. Multiplier: ΔI → ΔY. Accelerator: ΔY → I.
  • Reading q the wrong way up. Invest when q > 1.
09
Revise

The lesson on one screen

The lesson on one screen
Investment
Fixed, residential and inventory investment: additions to capital. Volatile, driven by expectations.
Present value
PV = Σ R_t/(1 + i)^t. Invest when PV > cost.
MEC
The discount rate that sets PV equal to cost. Invest while MEC > i.
User cost
P_K(r + δ). Higher real interest or depreciation lowers desired capital and investment.
Tobin's q
Market value ÷ replacement cost. Invest when q > 1.
Accelerator
I = v·ΔY; v = K/Y has the dimension of time.
Multiplier–accelerator
Samuelson: together they can produce damped, steady or explosive cycles, or steady growth.
10
Practice

Check yourself

0 of 8 correct so far

Compute

Present value
What is ₹1,210 received two years from now worth today at 10% interest?
MEC
A machine costs ₹500 and returns ₹550 after one year, then nothing. What is its MEC, in per cent?
Accelerator
The capital–output ratio is 3. Output rises from 100 to 110. What is net investment?
Tobin's q
A firm’s shares are worth ₹150 crore in total; its capital would cost ₹120 crore to replace. What is q?

Quick questions

1A rise in the real interest rate lowers desired investment because
2If Tobin's q is below 1, firms
3According to the accelerator, induced investment is determined by
4The investment trap is a situation where investment demand is
11
Real questions

Past papers, by level

Foundation

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

16 questionsPractise →

Standard

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

22 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 38 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.

← Lesson 6Consumption: Keynes, Friedman and ModiglianiLesson 8 →Money, banks and the money multiplier

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