Macroeconomics Midterm Flashcards

80%

1
Q

Value of Each Growth Theory

A

1. Classical theory reminds us that our physical resources are limited, and we need technological advances to grow.
1. Neoclassical theory emphasizes diminishing returns to capital which means we need technological advances to grow.
1. Endogenous growth theory tries to explain productivity or technological growth within the model (endogenously).
1. New growth theory emphasizes the capacity of human resources to innovate at a pace that offsets diminishing returns.

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2
Q

Classical Growth Theory: Assumptions+Implications+Limitations

A

Main Idea: subsistence level contains population growth

Assumptions
- diminishing marginal returns to inputs
- population growth responds to income levels ( IE, increased output leads to increased population growth )
- fixed nature of natural resources, subsistence level of real GDP & wage

Predictions:
- When real GDP per capita rises above subsistence level a population explosion will bring it back down to subsistence level
- As population grows real wage falls until it hits subsistence level where population+economic growth stop

Implications
- we will always return to a subsisting ( just being able to survive) level of living as the population will grow in response to increases in GDP till GDP per capita returns to subsistence, must contain population

Limitations
- doesn’t take into account the increase in technology, which minimizes DMR, allows the rate of output to outstrip population growth and allow for higher stadnerds of living
- Importance of Labor: Mathluthisan-labor is beneficial up to a limit → (China’s Growth didn’t drive incomes back down to subsistence levels) → Solow-refute
- Inaccurate determination of total wages, didn’t consider how trade unions & demand impacts wages

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3
Q

Neoclassical Growth Theory: Assumptions+Implications+Limitations

A

Basic Idea: tech advance as key driver of growing long-term living standards, savings & investment super important, eventually output growth will only be driven by population growth until a shock occurs, c k y are constants determined by kSS

assumptions
- A,n,s,d is exogenous
- the economy is closed, and there are no government expenses
- tech affects economic growth+k growth not vice versa
- output produced annually is invest in new capital or in replacing depreciated capital (It), uninvested part of output is consumed by population (Ct)
- there are diminishing marginal returns to facts of production& constant returns to scale

limitations
- A is exogenous when it is affected by human & physical capital, wealth orR&D or technology
- not all forms of capital exhibit diminishing marginal returns

Implications
- there is a conditional convergence of K/L ratio amongst state. Rich countries will grow K slower than poor countries until, eventually, every country will reach a steady state with similar levels of K/L. The condition is that these countries demonstrate similar Saving rate
- factors affecting long-run standard of living, how rate of economic growth evolves over time

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4
Q

Endogenous Growth Theory: Assumptions+Implications+Limitations

A

Key Difference b/w Solow:
- economic growth is generated internally through endogenous forces (A is endogenous derived from model in terms of s,H, R&D not given or constant) & attacks assumption of diminishing marginal return of capital as capital used properly will increasingly increasing return k
- No steady state if graphs never intersect

Derivation:
1. Sn=sAK=sY
2. K_t+1=K_t+I-dK
I=K+K net investment+depreciation
3. sAK=K+K
k=changeK/K=changeY/Y=sA-d since gy=gk

assumptions
- technology (A) generated from within the economyso production function is not diminishing but constant (alpha>=1) y=Ak, MPK=A, dA/dk=Constant Marginal Return
- number of workers remains constantso growth in output/capital per labor equal
- closed economyimplications
- The growth of a country depends on rates of savings and investmentsg_Kss=g_A=g_RD+g_I=S
- the growth rate of output per worker = growth rate of output. Therefore, there are no diminishing returns to capital. Instead, MPK depends on technology levels, not K stock
- there are increased returns to scale in investments in human capital and private sector R$D ( this lasts because the private sector is motivated by growth)

Implication:
- Constant Determinants of Economic growth rate depends on savings rate, investment (R&D-generated by increasing K & offsets any tendency for MPK to decrease), Human capital not only exogenous productivity growth
Increasing returns to scale from capital investment in knowledge industries (edu, health, telecomm.)

limitations
- technological advancement is limitless ( exponential). This is not necessarily true
- does not take into account market failures generated by externalities. ( growth of technology leads to pollution, leads to a decrease in productivity)

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5
Q

New Growth Theory: Assumptions+Implications+Limitations

A

Basic Idea: Long run growth (y=real GDP per capita) grow because of choices that people make in the pursuit of profit and growth can persist indefinitely a perpetual motion machine

Assumptions
- Knowledge is not subject to diminishing returns
- Discovery result from choices, brings profit if patented or else is a public capital good, competition destroys profit & knowledge is not subject to DMR as increasing its stock makes L & K more productive (increases MPK+MPL)t
- Graph + Sala Table

implication
- real GDP per person grows because of choices that people make in the pursuit of profit, and that growth can persist indefinitely
- growth is a perpetual motion machine. Innovation -> new and better products and techniques -> better jobs and more leisure time -> higher standard of living -> want for an even higher standard of living ( choices in pursuit of self-interest) -> innovation

limitations
- New growth theory assumes that knowledge and innovation generate increasing or constant returns to scale, meaning that the more an economy invests in R&D or human capital, the higher the returns. However, in reality, diminishing returns to knowledge and innovation might occur. Not all investments in education or R&D lead to groundbreaking innovations, and knowledge may not always spill over efficiently to the entire economy.
- it is challenging to measure knowledge, human capital, or the effects of innovation.
- there are so many different things you could quantify as the determinants of growth, including (the environment, politics, civil liberties, etc)

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6
Q

Marcoeconomics + Usage + Issues Addressed

A
  • A top-down study of the structure, nature, performance and course of national economies as a whole and of the policies that governments use to try to affect it
  • Analytical tool used to craft economic & fiscal policy more applicable to everyday life, while microeconomics is used by investors for investment decisions
  • Issues Addressed: effects of being an open economy and government policies on economic performance as well as factors that determine/cause a nation’s long-run economic growth, fluctuations in economic activity, unemployment, rising prices
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7
Q

What do Macroeconomists do? How do they analyze economic policy?

A

What do Macroeconomists do?
* Forecast (short run, longrun too unpredictable) & analysis to determine if and what action should be taken
* Research (theoretical & empirical) to make general statements of how economy works depending on assumptions, applicability, testability, results
* Data Development: data used to assess state of economy now and future, effects of policies and test theories
* Comparative Static Experiments: changing one variable all other factors remaining constant and observe how macroeconomic model responds to the shock

How is economic policy analyzed?Disagreements can arise with normative analysis (ex. Efficiency vs Equality, We can grow vs Should we grow)
Positive (objective/what will it do/consequences) no judgment
Normative (subjective/is it desirable/should it be used) analysis, requires value judgements
Comparative Static Analysis: comparing old vs new equilibrium in models

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8
Q

2 Key Approaches to Macroeconomics

A

Great depression classical failed, stagflation classical comeback

Classical: economy work well on its own, hands off, invisible hand - free mkts & individuals will work in oneself interest, naturally optimize
* P+W adjust rapidly to get to equilibrium (supply=demand) and are signals that coordinate people’s actions
* Gov should have limited role in economy

Keynesians: economy takes time to adjust, short-term consequences & affects government should intervene to make transition smoother and less costly
* P+W sticky, adjust slowly (especially in one direction) so mkt remain out of equilibrium for long periods and persistent unemployment occurs
* Gov should intervene to restore full employment, to guide economy to best outcome

**Common Ground of Approaches: **
* 3 Mkts: goods, assets, labor
* Long Run: P+W perfectly flexible
* Short Run: Classical P+W flexible, Keynesian P+W slow to adjust
* Money is neutral long & short term: monetary policy doesn’t work

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9
Q

Long-Run Economic Growth/Living Standards + Key Determinants

Business Cycle + Relation with inflation & unemployment rate

Draw Graph

A

Long-Run Economic Growth: labor & prices are variable sustained expansion of production function/ possibilities/real GDP over a given period foundation for socioeconomic development, rich nations have extended periods of rapid economic growth, while poor nations have never or was offset by decline

  • Measured by change in real GDP per capita/output per labor (g_y), generally increases when
    (1) Population Incr. more labor/workers (L)
    (2) Average Labor Productivity Incr.more output produced per unit of labor input (A–>MPL)
  • Y=LaborxMPL, constant k, MPL driven by A
  • Different growth models emphasize different factors.

Business Cycles: not economic growth, short-run contractions & expansions of economic activity, labor+prices are fixed
* Recession/depression (Unemployment rate rises, hard times, major political concern), expansion/recovery (Unemployment rate falls), peak, trough

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10
Q

How to calculate rate of growth? Find rate of growth of total output

A

log+derivative %Y=%L+%MPL

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11
Q

Unemployment Rate

A

* Unemployment Rate: doesn’t work, but who was available & actively sought work in the previous 4-6 weeks, percentage of labor force unemployed not a perfect definition
* Cyclical + Natural(Frictional+Structural)
* Can never reach zero even at peak of business cycle (no cyclical) due to frictional (job searching) and structural (wage/skill change) unemployment.
* Discouraged Workers (searchers): stop searching, discouraged from lack of success (not counted so UE is underestimated)
* Problem: lost of human capital (damages job prospects) & lost income & production

=#unemployed/#LF=#LF-#E/#LF

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12
Q

Inflation & Deflation & Hyperinflation

A
  • Inflation Rate: percentage incr. in level of prices, money becomes less valuable → more economic activity
  • Deflation: decr. in level of prices, money becomes more valuable → less economic activity
  • Hyperinflation: extremely high rate of inflation → economic collapse
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13
Q

International Economy Terminology

A
  • International Economy: trade & borrowing relationships can transmit business cycles across nations
  • Open Economy: extensive trading & financial relations with other national economies
  • Closed Economy: no economic interaction with rest of the world
  • Trade Balance: surplus E>I, deficit I>E
  • Exports=g+s produced in domestically consumed abroad
  • Imports=g+s produced abroad consumed domestically
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14
Q

Macroeconomic Policies

A

Should a government intervene and how should they? Beware of policy lag, action lag
Fiscal Policy: government spending & taxation
Monetary Policy: central bank’s control of short-term interest rates & money supply
Budget Deficits: excess gov spending over tax collection
Twin Deficit: trade & budget deficit

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15
Q

Economic Theory vs Model vs Aggregation

A
  • Economic Theory: set of ideas about the economy to be organized in a logical framework (capitalism, classical, keynesian, supply+demand, tragedy of commons)
  • Economic Model: simplified description of some aspects of the economy (Cobb-Douglas, AD-AS, IS-LM, Solow)
  • Aggregation: summing individual economic variables to obtain economy wide totals, ignoring individual mkts
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16
Q

Can average labour productivity fall, even though total output is rising?

Can the unemployment rate rise, even though total output is rising?

A
  • Yes, population increase can produce more total output even if they are less productive/skilled as beginners.
  • Yes, tech advancement makes less people more productive and produce more total output
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17
Q

How Do We Measure Current Economic Activity?

A

GDP+NFP=GNP

Total Production=Total Income=Total Expenditure: approaches are equivalent in theory as mkt value of good=spending on good, spending on good=income earned

  1. Value Added Approach (Total Production): measures amount of output produced, excluding output in intermediate stages of production used in production of other goods in same time period.
    * Equation: sum(Value Added)=sum(Output-Input)
    * Note: capital goods (buildings, machinery, equipment) & inventory investment are final goods
    * Problems: not all goods are sold in legal markets, unpaid work (household production), contributions that lack market values (quality, gov services, NGO donations)
  2. Income Approach (Total Income): measures incomes received by the factors of production (wages, interest, rent, profit), tax forms make this easiest to calculate
    * Equation: Y=Total National Income (Wage+Land+Profit+Interest)+NFP+Depreciation+Sales Tax
    * Y_D=Y+NFP-T+TR+INT=C+S
  3. Expenditure Approach (Total Expenditure): measures amount of spending by purchasers of output, most used in theoretical research
    * Y=C+I+G+Nx
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18
Q

Explain GDP+NFP=GNP

A
  • Net Factor Payments: domestic income from foreign for domestic factors of production minus foreign income from domestic economy for foreign factors of production (Income from Foreign-Income to Foreign)
  • Gross Domestic Product (GDP) is the market value of final goods & services newly produced within a nation during a fixed period of time. Note: domestically owned capital & labor used abroad to produce output/income are not included. Foreign owned capital & labor used domestically to produce output/income are included
  • Gross National Product (GNP) is the market value of all final goods newly produced by domestic factors of production (capital, labor) during the current period Note: domestically owned capital & labor used abroad to produce output/income are included. Foreign owned capital & labor used domestically to produce output/income are not included
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19
Q

Balance of Payments

A

Balance of Payment: measures international money flows, categorizes between country’s residences vs rest of the world, if transaction is a consequence of intl. Trade or investment, or flow is outgoing(-ve) or incoming (+ve)

  • Current Account+Financial Account+Capital Account=0
  • Current Account=Capital Account
  • Credits given=Debts Received
  • Movement of product is always balanced out with movement of money/financial asset

Current Account: regular economic activities that crosses borders NFP is usually 0 as foreign income made in Canada against Canadian income made in foreign nation are close to equivalent
* CA=Nx+NFP=D Income from F (export)-F income from D (import)+NFP
* CA=S-I

Capital Account: transactions with financial nature,FA=Foreign CI in Domestic-Domestic CI from Foreign
* Explains why US is still strong: current account vs capital count, more amount of foreign investment into the country than US investment in other countries (ex.US bonds), deficit is financed by other countries
* Current account surplus vs capital account deficit, lending out money to other countries to keep importing goods from them

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20
Q

Gross Capital Flows

A

=Total Capital Inflows+Total Capital Outflows

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21
Q

Net Government Income + Budget Surplus vs Deficit + Twin Deficit

A
  • T-TR-INT
  • Gov Budget Surplus(+ve) T>G+TR+INT
  • Deficit(-ve) T<G+TR+INT
  • Twin Deficit: Trade and budget deficit, only US can do this because they have a strong currency & army. CAN has it too, will get worse if don’t diversify money flows away from US
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22
Q

Calculate GDP using all 3 approaches

Apple Farm
Wages 15,000
Taxes 5,000
Revenue from Sales 35,000
Public Sales 10,000
Juice Company Sales 25,000

Apple Juice Company
Wages 10,000
Taxes 2000
Apples from Apple Farm 25,000
Revenue from Sales 40,000

A

Value Added Approach:
Juice: 40,000-25,000=15,000
Apple Farm: 35,000
GDP: 15,000+30,000=50,000

Income Approach:
Wages+Taxes+Profit(Revenue-Cost)
=10,000+15,000+2000+5000+(35,000-15,000-5,000)+(40,000-25,000-2,000-10,000)
=25,000+7000+(15,000+3,000)
=50,000
*All the costs cancel out, GDP is just profit

Expenditure Approach:
=40,000+10,000
=50,000

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23
Q

Wealth + Savings v. Saving + National

A

Wealth: difference b/w assets & liabilities, stock variable that is measured at a point in time
* National Wealth: country’s domestic physical assets, net foreign assets=foreign assets-foreign liabilities. Changes when value of national savings change (SNational=I+CA)

Saving: flow variable that is measured per unit of time, connect stock variables (ex.Saving→Wealth, Investment→Capital)

Savings: current income minus spending on current needs Savings=Income-Consumption

National Savings: Private Savings + Government Savings=Spvt+Sgov=I+CA=Y-C-G
Private Savings: Spvt=Y+TR+INT-T-C=I+Nx=I+(-Sgov)+CA, ignoring TR, powerful, analyzes whole economy, asked in job interviews & CFA exam
* Private savings used in 3 ways - Investment (I), INT funding government budget deficit (-SGov) and current account balance (CA=X-M)
* Deficit is money goes to unproductive sector instead of investment, risk free government bonds more safe for pvt
* Many assumptions about the economy can be pulled from this express: production-consumption, savings-investment, excess production

Government Savings T-G-TR-INT

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24
Q

Derive Spvt=I+Nx

A

Y=C+I+G+X-M
Y-T=(C+I+G+X-M)-T
YD-C=I+(G-T)+(X-M)
Spvt=I+(-Sgov)+CA

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25
Q

Key Knowledge to Investment

A

Nominal return doesn’t account for increasing inflation year by year.

  • Nominal GDP
  • Real GDP
  • GDP Deflator
  • CPI
  • Rate of Inflation
  • FIsher Equation
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26
Q

Nominal GDP vs Real GDP

A

Nominal GDP (current-dollar GDP): dollar value of an economy’s final output at current market prices

Real GDP (constant-dollar GDP): (quantity only) physical volume of an economy’s final output using the prices of a base year

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27
Q

GDP Deflator vs CPI

A

GDP Deflator: price index measures overall level of prices of g+s included in GDP, proxy for CPI but less prone to biases
Nominal GDP/Real GDP X100

Consumer Price Index: measures level of prices of a basket of g+s
Value in Given Year/Value in Base Year X100

Similarities: these price indexes measure of avg level of prices and their changes
CPI measures price changes in a specified set of g+s (fixed consumer basket occasionally updated or chain-weighted indexes)
GDP Deflator measures overall level of prices of g+s included in GDP

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28
Q

Fisher Equation + Precise True Formula for Real & Nominal Interest Rate

A

real interest rate(expectant) ≈ nominal interest rate(current) − inflation rate(pi)

  • Rate of Inflation: % rate of increase in a price index per a period of time, rate of return promised by a borrower to a lender 1=P2-P1/P1=ChangeP2/P1
  • Real Interest Rate (r) rate at which real value of an asset increases over time
  • Nominal Interest Rate (i) rate at which nominal value of an asset increases over time

(1+NR)=(1+RR)(1+pi^exp)

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29
Q

Calculator Real Interest Rate given Nominal Interest Rate 11% & expected inflation rate 8%

A

(1+NR)=(1+RR)(1+exp)
(1+11%)=(1+RR)(1+8%)
RR=1.111.08-1
RR=2.78%

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30
Q

3 Categories of Unemployment

A

1) Temporary layoff with expectation of recall
2) Without work, made efforts to find job within previous 4 weeks
3) New job to start within 4 weeks (overestimates UE)

31
Q

Employment Rate + Working Age People + Labor Force + Labor Force Participation

A

Employment Rate: those who are employed full time or part time
=people employed/working age population*100
follow same trends as labor force participation but more volatile
* Long-Term Future Starts: job starts in more than 4 weeks
* Involuntary Part-Time: percentage of labor force who work part time but want full-time job (underestimates UE)

Involuntary Part Time Rate=#Involuntary Part-Time#Labor Force100%

Working Age People: 15-64

Labor Force: =employed+unemployed sum people that either
* Has a parttime or fulltime job
* Person is not employed then looked for jobs within last 4 weeks
* Available for work, no disability

Labor Force Participation percentage of working-age population in labor force, #LF/#WA

32
Q

How is unemployment rate overstated & understated

A

UE Overstate True Level of UE difficulty: confident worker who has not accepted position is counted as unemployed & normal for job search

UE Understate the True Level of UE/Measure of Labour Underutilization: those who would like to work but aren’t working don’t get counted as unemployed Underestimation is worst than overestimation, doesn’t include
* Discouraged workers (searching within 1 year): people who have given up searching
* Marginally attached worker: stopped looking waiting for employment to begin, hopeful but waiting for recall, replies, new job in 5+ weeks
* Underemployment: work not to desired capacity.
Visibly Underemployed Workers: work fewer hours than wanted (ex. Part-Time, want Full-Time)
Invisibly Underemployed Workers: work in jobs that don’t use skills fully, substandard to human capital (ex. Low wage, disadvantages, Immigrant, doctors, lawyers

33
Q

Natural vs Cyclical vs Actual Unemployment

A
  • Natural UE: healthy percentage of labor force naturally UE, factors influencing include age distribution of population
  • Frictional: normal labor mkt turnover, creations & destruction of jobs, search time, transfers, rellocation
    • Increases with increase of unemployment benefits+age distribution (focus on pensions or new jobs depending on older or younger gen), people entering/reentering labor force with higher real wage rate, decreases with, decr. With job search agencies
  • Permanent & healthy for growing economy
  • Structural: skill+wage+location mismatch, lasts longer than frictional as reallocation takes time, long-term & chronic as unskilled/low skilled workers unable to find long-term jobs, Jobs are created even during recession, the issue is these jobs don’t align with the skills workers have
    • Foreign competition or technology changes, scale of structural change, age distribution (youth learn faster than old, certain services/skills targeted to certain groups in more high demand if larger (ex.Retirement))
  • Cyclical: higher than normal unemployment at bc trough, lower than normal at bc peak, blamable on government
  • Laid off during recession
34
Q

Alternative Measures of Unemployment

A

Employment Spell: duration an individual is constantly unemployed, higher during recession
StatsCan:
R-1: long term unemployed 15+ weeks personal cost of unemployment
R-2: short term unemployed personal cost of unemployment
R-3: comparable to US
R-4: official
R-5: R-4+discouraged searchers
R-6: R-5+long-term future start
R-7: R-6+involuntary part-timers
R-8: R-7+total underemployment

35
Q

Can Unemployment Rate be lower than Natural Rate of Unemployment?

Full Employment

A

Brings the economy to a phase where the real GDP is more than the potential one. This leads to an overemployment of resources=inflationary gap.

Full Employment: unemployment rate=natural unemployment rate, no cyclical unemployment, only frictional & structural
Potential GDP=PPF, all resources employed efficiently

36
Q

Draw Unemployment Map

A

See doc

37
Q

What can Unemployment indicate about the economy?

A
  • Unemployment Rate depicts the true business cycle increases in recession, peaks after recession ends
  • Labor Market Indicators: unemployment rate, involuntary part-time rate, labor force participation rate, employment rate (ratio)
  • Phillips Curve: unemployment rate & inflation rate have a negative relation
38
Q

In general, if P0 is the price level at the beginning of an n-year period, and Pn is the price level at the end of that period, show that the annual rate of inflation π over that period satisfies the equation (1 + π)n = (Pn/P0)

A

See Doc

39
Q

The GDP deflator in Econoland is 200 on January 1, 2010. The deflator rises to 242 by January 1, 2012, and to 266.2 by January 1, 2013.

A

Pi=10%
Pi=10%

40
Q

Tutorial GDP Table in Doc

A

See doc

41
Q

Economic Growth Rate

A

Annual percentage change of real GDP, how rapidly total economy is expanding

42
Q

Growth Accounting Formula
Q. Years to double GDP if
PV=100
r=5%
t=?

A

Present Value=Face Value/(1+r)t

Face value of a bond is the amount that the issuer agrees to pay at maturity, while the present value is what the bond is worth today,

100=200(1+5%)t
(1.05)t=200100
t=log(2)log(1.05)
t=14.21 years to double GDP

43
Q

Movement Along vs Movement of Production Function vs Shape Change

A

Input Changes=Movement Along=Short Term:
- Quantity of labor, capital, human capital

Technological/Productivity Changes
- A total factor productivity: rule of law, raw materials, energy, infrastructure etc.
- MPL, MPK, DMR

Share of Output Changes:
- Alpha & Beta

44
Q

Real GDP Growth in World Economy vs CAN

A
  • First world countries have had coupled/similar growth, third world nation’s Y are decoupled as firms look for cheap labor during recession which they provide
  • CAN 2%/yr real GDP per capita growth for 90yrs 1926-2016, fell during Great depression rose rapidly during WW2, most rapid during 1960s influx of immigrants, fell during dot.com bubble, financial crisis & covid
45
Q

Aggregate Production Function + MPK + DMR

A

Y=AF(K,N)=AKN
Y=real output produced/real GDP
A=exogenously added number measuring overall productivity of K,L
K=quantity of capital (stock) used
N=L= labor employed (N=assuming full population employed)
F=function relating Y, K,N (Cobb Douglas Prodn Function)

M math expression relating amount of output produced to quantities of capital & labor used, depicts Potential GDP: quantity of real GDP produced when quantity of labor employed is at full-employment

  • 1st Derivative Positive=increasing slope=Marginal Product of K/L
  • MPK - Marginal Product of Capital: how much each capital stock produces = increase in output produced resulting from 1 unit increase in capital stock, other factors held constant YK
  • MPN - Marginal Product of Labor: how much each laborer produces = increase in output produced resulting from 1 unit increase in labor, other factors held constant YL
  • 2nd Derivative Negative=concave down=Diminishing Marginal Returns: tendency for marginal product of capital to decline as amount of capital or labor increases
46
Q

Derive MPK/L from Production Function

A

See doc

47
Q

Derive alpha, beta & returns to scale from Production Function

A
  • a=Share of output/real GDP produced by labor=elasticity of Y with respect to capital
  • b=share of output/real GDP produced by capital (stock)=elasticity of Y respect to labor =fraction
  • Constant Returns to Scale (a+b=1): scaling up factors of production by a factor of m will increase output by a factor of m
  • Increasing Returns to Scale (a+b<1): scaling up factors of production by a factor of m will increase output by more than a factor of m
  • Decreasing Returns to Scale (a+b>1): scaling up factors of production by a factor of m will increase output by less than a factor of m

See doc

48
Q

Derive increasing & decreasing returns to scale from Production Function

A

See doc

49
Q

Production Function Supply Shock Impact + Diagram

Invest in CAN vs Nigeria?

A

Positive/Negative shock raises/lowers output produced with each capital-labor combinations, shifting upward/downward angle, not parallel, thus will impact at varying degrees.

See doc

50
Q

Aggregate Demand of Labor + Supply of Labor

A
  • Labor (aggregate labor mkt): model implies 0 unemployment
  • Aggregate Demand for Labor (Firms): sum of all labor demands of firms in the economy, the curve behaves the same as individual firm.
  • Aggregate Supply of Labor (Us): sum of labor supplied by everyone in the economy, decides how much to allocate for leisure (lost utility=consumption good) vs labor (utility=happiness) maximized when values are same, negative relation b/w real wage and labor supplied, assuming K fixed & labor variable in short run, competitive markets, profit maxed
51
Q

Direction of Supply of Labor Curve + Factors

A

Labor Supply Curve: labor supplied vs current real wage, incr. In real wage raises labor supplied as people work more hours & encourages people to join labor force

Effects work in opposite directions simultaneously
* Substitution Effect of higher real wage, tendency of workers to supply more labor, reduce leisure as it becomes more costly in response to higher real wage, better opportunity cost
* Income effect of higher real wage, tendency of workers to supply less labor & increase leisure hours as they enjoy higher incomes, the longer the increase the more Income effect dominates
* Vertical Curve: no wage increase nor decrease would increase the amount of labour provided in a market. The only market that may represent this condition is charitable service, where work is completed and no wage is received

52
Q

Inflationary Gap + Contractionary Gap Effects According to C & K

A

Inflationary Gap:
* Keynesian (AD - Aggregate Demand Movement): Bank raises interest, contractionary gov policy decr. Gov Spending, incr. Taxes, decr. Transfers → Lower prices=desirable
* Classical (SRAS - Short Run Aggregate Supply Movement): high prices=higher wages=cut labor to decr. Costs of higher wages=decr. labor supply → Higher prices=undesirable

Contractionary Gap:
* Keynesian (AD - Aggregate Demand Movement): Bank lowers interest, inflationary gov policy incr. Gov Spending, decr. Taxes, incr. Transfers→ higher prices=undesirable
* Classical (SRAS - Short Run Aggregate Supply Movement): low prices=lower wages=incr. labor to incr. revenue from lower wages=incr. labor supply → Lower prices=desirable

53
Q

Fundamental Preconditions of Labor Productivity Growth

A

Incentive System is the fundamental precondition for Labour Productivity Growth created by firms, malts, property rights & money, but depends on
* Physical capital growth: new capital incr. Per workers
* Human capital growth: education, on job training, learning by doing
* Technological advances: discovery, application of new tech, goods

%Y=%A+%K+%L
%Y/L=%Y-%L

54
Q

Economic Growth Along Production Function vs Shifting Production Function

A
  1. Population Growth: labor supply shifts, real wage rate falls, aggregate hours increase, potential GDP increases
  2. Aggregate Hour Growth: increases GDP, decreases real GDP per hour of labor, movement along the production function

Or

  1. Labor Productivity Growth incr. → Labor Demand incr.: willing to pay more for given number of hours, demand of labor increases, aggregate hours increase, potential GDP increases, not always the case due to diminishing marginal returns as one can artificially raise labor productivity by cutting labor. 1) Initial shock A→B, labor constant but output grows 2) Wages rise → Labor Supply rise 3) Excess Output B→C
  2. Increases demand for labor, real wage rises, aggregate hours increase, Equilibrium Intersection (N,W) is the full-employment level of employment/equilibrium level after complete adjustment of wages & prices assuming no sticky wages: Y=AF(K,N)

Reverse can occur.

55
Q

Real Wage vs Real Wage

Marginal Revenue Product of Labor + Graph

A

Nominal Wage=PxMPL, in real terms, Real Wage=WNominal/N adjusted for prices

MRPN PricexMPL: how 1 unit increase of labor increases revenue (output x price) benefit of employing an additional worker
* Change in Real Wage: movement along labor demand curve
* Demand of Labor Factors: shifts curve by changing labor that firms want to employ at any given level of real wage

56
Q

Summary of factors of Economic/Real GDP Growth

A

(change in avg hours per worker, employment-population, working-age population growth)-Labor supply/growth

(K,H growth)-Labor Productivity Growth

57
Q

Policies for Faster Growth & Long-Run Living Standards

A
  • Growth accounting says increase gk & gA for faster growth
  • Raise savings rate to increase physical capital growth (tax incentives RRSP TFSA RESP, taxing consumption PST, GST, HST, reduce deficit, forced saving CPP), quality of infrastructure & rate of productivity
  • Human capital has strong connection with productivity growth, remove barriers to entrepreneurial activity, improve quality of education, training+health programs
  • Encourage R&D: fruits can be used by everyone, not just inventor, stimulated with gov subsidies+direct funding
  • Encourage Industrial Policy: influences structural change/industrial development to remove borrowing constraints & spillovers, beware of favoritism
  • Provide International Aid to Developing Countries: has 0 or -ve effects on growth, is solely political
  • Encourage International Trade: extracting all gains from specialization & trae, fasting growing nations have the fastest growing exports & imports
  • Market Policy: gov restriction on free markets creates respect for property rights, reliance on free mkts to allocate resources efficiently
  • Social Insurance: government interferes when market failures occur or efficiency vs equity trade-offs
58
Q

Conditional vs Unconditional Convergence

A

Conditional Convergence: living standards will only converge within a group of countries with similar characteristics
Unconditional Convergence: all countries or regions are converging to a common steady state potential level of income so living standards around the world become more or less the same
* Proof: all economies have access to same tech, capital, open to world, seeks highest real interest rate implies economic growth rate will converge for all, convergence of rich countries, but not for all

59
Q

Incr. vs Decr. in saving rate effect on LRLS

A
  • Trade off b/w current & future consumption
  • Increasing saving rate implies lower consumption currently, but in future higher consumption=living standards (raises output at every level of K/L) as a steady state with higher output per K/L is attained in long run
  • Decreasing saving rate implies higher consumption currently, but in future lower consumption=living standards (lowers output at every level of K/L) as a steady state with lower output per K/L is attained in long run
60
Q

Incr. vs Decr. in population growth effect on LRLS

A
  • Increasing population growth tends to lower living standards, a large part of current output must be devoted to just providing capital for the new workers to use
  • Decreasing population growth tends to lower living standards, a small part of current output will be devoted to providing capital for the new workers to use but lower total productive capacity, political influence in world, lower working-age people to population ratio creating an unsustainable pension system
61
Q

Incr. vs Decr. in productivity/technology effect on LRLS

A
  • Increased sustained productivity will improve living standards as it raises y at every k, saving per worker increases, higher steady state attained kSS
  • One-time productivity increases shifts economy to a higher steady state once to a higher living standard, must continue to increase to perpetually improve living standards
62
Q

Consumption Per Labor Trend +

A

Consumption per labor (c=C/L) increases diminishingly as capital per labor (k=KL)increases

63
Q

Gold Rule of Capital Accumulation

A

kGR=(A+n)^(1/1-a) the amount of capital per labor (k) that maximizes consumption (c) in the steady state kSS*=KGR when s= since (sA+n)11-=(A+n)11- must hold

Derivation: (1) Optimize function for c in terms of k, (2)Set equation to 0 and isolate for k
c=(1-s)y=Ak-sAk=Ak-(n+)k since sAk=(n+)k in steady state
ck=kAk-(n+)k=Ak-1-(n+)
A(n+)=k-(-1)=k1-a
kGR=(A+n)11-a

See doc

64
Q

Steady State Capital/Output/Consumption Equations

A

See doc + Diagram

65
Q

Derivation+Explanation of Solow Model

A

See doc

66
Q

Solow Model Application

A
  • Rich countries (output above/capital per labor right of kSS) have slow growth in output/labor=economic growth
  • Poor countries (output below/capital per labor left of kSS) have fast growth in output/labor=economic growth
  • There exists a subsistence ratio of capital to labor that all countries tend towards, will remain there forever, y* k* c* remain constant over time (cause it increases with N which is divided out), unless a change/shock occurs,
  • Faster Economic Growth:
  • Too much population growth, more output is dedicated to provide for huge new population & reduces kSS less k capital per labor at steady state
  • Too much capital per labor and/or higher depreciation rate, more output is dedicated to replacing depreciation of a lot of capital & reduces kSS less k capital per labor at steady state
  • Slow Economic Growth:
  • Too little population growth, less output is dedicated to providing for small new population & increases kSS more k capital per labor at steady state
  • Too little capital per labor and/or lower depreciation rate, less output is dedicated to replace depreciation of few capital & increases kSS more k capital per labor at steady state
  • Increase in kSS raises y=Af(k)=Ak output per worker & gross investment amount of output per worker (n+)k
  • Technology advancement & increasing savings rate increases output per labor for same steady state investment allowing for greater positive change in capital to labor across time=economic growth k, steady state capital and total output per labor.
67
Q

Steady State Solow Model

A

Steady State (kSS=(sA+n)11- when sy=(n+d)k) National savings=Gross Investment or total output/labor=output/labor for population growth+depreciated capital at a specific k=KL capital to labor ratio, subsistence level
* No growth in productivity, output/labor (yt), consumption/work (ct) & capital stock/worker (kt), Yt Ct Kt grow at rate of growth of workforce (n), economies will always be moving to this point as long as they have same A &
* Area b/w investment(savings) in new capital & destruction of capital is k=change in capital per labor over time positive to the left of kSS (i>), negative if right of kSS(>i)

68
Q

Solow Model Explanation

A

Per-Worker Production Function: focus on role of capital stock in growth process, assume no productivity growth, production function per work is
y=YN=AKN1-N=A(KN)=Ak=Af(k) slopes upward, each unit increase of capital increases labor productivity (worker produces more output) at a diminishing rate
Gross Investment in year t (steady-state investment per worker) is (Capital Destruction)I=(n+d)k=nk+dk=capital for population growth+capital for depreciation
X-axis: capital per hour worked k=KL, Y-axis: real GDP

69
Q

Find k, y, c* given s=0.2, n=0.05,
=0.1, A=100, =⅔

A

KSS=(sA+n)11-=2370370.37
ySS=AkSS=1777777.78
cSS=(1-s)ySS=1422222.22

70
Q

SNational=sY-hK, greater wealth (capital stock) less incentive to save, savings is lower, less need to save for the future. Find the steady-state values of per-worker capital, output, and consumption. What is the effect on the steady state of an increase in h?

A

Steady State=Investment=Savings=Destruction=Investment
sY-hK=i=sy=(n+d)K
sy=(n+d+h)k an increase of h makes the slope more steep

c=y-(Sy-hK)

71
Q

Consider a closed economy in which the population grows at the rate of 1% per year. The per-worker production function is y = 6k 1/2 , where y is output per worker and k is capital per worker. The depreciation rate of capital is 14% per year.

  • a) Households consume 90% of income and save the remaining 10% of income. There is no government spending. What are the steady-state values of capital per worker, output per worker, consumption per worker, and investment per worker?
  • b) Suppose that the country wants to increase its steady-state value of output per worker. What steady-state value of the capital–labour ratio is needed to double the steady-state value of output per worker? What fraction of income would house-holds have to save to achieve a steady-state level of output per worker that is twice as high as in part (a)?
A

a) n=0.01,y=6k1/2, =0.14,s=0.10
Steady state
sy=(n+d)k
k=16 capital per worker
y=6k1/2y=24
c=y0.9c=21.6
i=sy=0.1(24)i=2.4

b) Double output per worker y=2*24=48
y=6k1/2=48k=64
sy=(n+d)ks=(0.14+0.01(64))/48s=0.2

72
Q

a) Graph the relationship between output and capital, holding labour constant at its current value. What is the MPK? Does the marginal productivity of capital diminish?
b) Graph the relationship between output and labour, holding capital constant at its current value. Find the MPN for an increase of labour from 100 to 110. Compare this result with the MPN for an increase in labour from 110 to 120. Does the marginal productivity of labour diminish?

A

a) Y=0.2(K+1001/2)Y=0.2K+2
MPK=0.2 slope
DMK=0 constant concavity

b)Y=0.2(100+N1/2)Y=20+0.2N1/2
MPN10=Y110-Y100110-100=0.00976 > MPN20=Y120-Y100120-100=0.00933=0.1N-1/2 diminishes
DMN=0.1(-1/2)N-3/2 diminishing concavity

73
Q

Use the concepts of income effect and substitution effect to explain why (if everyone acts rationally)

  • a)A temporary increase in the real wage increases the amount of labour supplied,
  • b)A permanent increase in the real wage may decrease the quantity of labour supplied
A

a) Substitution Effect dominates as wage increases temporarily leisure becomes more costly as more money is to be lost if labor doesn’t increase. One opportunity for limited time.

b) Income Effect dominates as wage increases for life time leisure becomes less costly & increases as one feels more rich so labor decreases. The longer the wage increase the more the income effect dominates.