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ec140 cheat sheet final

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Cheat
EC 140Final
Sheet
Factors GDP = fₜ(K,L,H) Variables DESIRED
The Macro Model
AE = C + I + G + X – IM (same as GDP expenditure side)
Model desired aggregate expenditure AE with an
Index
%change
final version v1.0
autonomous part A and induced part zY (z is the
Kapital Price level is the average marginal
propensity to spend). Expand AE = A + zY with
=Y (national income) Variables ACTUAL
price of everything. Power of money
variables on back side to get:
Firms contribute to GDP by value added. Does goes down as price level goes up.
not account for illegal/black markets, leisure,
Today dollars are nominal. Indexed
“bads”. Adjusting for real GDP is better, to
against a particular base year is real.
account for inflation. Stuff with no clear market
Real national income is quantity now @ AE tends to equilibrium when desired = actual, that is,
value is counted at cost.
base year prices. Measure price of the AE = Y. Otherwise,
AE Actual < Desired
AE
Y=
Income Side: Y = Net domestic income (NDI) + same stuff relative to some year as the inflationary or
- inventories ↓
Depreciation + Indirect Taxes – Subsidies with
CPI, which is calculated as an index.
deflationary gaps
- production ↑
NDI = Wages + Interest + Business profits
For any index, deflator = nominal/real. push actual
Actual > Desired
A
Expenditure Side: Y = Cₐonsume + Iₐnvestment Deflator is also a (price) index. Inflation production and
- inventories ↑
inventory towards
- production ↓
+ Gₐvmt + EXₐports – IMₐports.
is % change in deflator index. Or,
desired
amounts.
Y
Yₑ
Investment = Net Invesment + Depreciation: not deflator = last year deflator × inflation
Solve
AE
=
Y
for
Y
to
get
Yₑ
=
A/
(1–z).
“investing” but inventory, plants, and equipment. Negative inflation is deflation.
ΔYₑ/ΔΑ = 1/(1–z) is the simple multiplier, relating
Count only gvmt spend on firms, not all spend.
Decreasing inflation is disinflation.
autonomous
spending (vertical shift) to equilibium. eal interest = nominal – inflation.
Business Cycle Regular short-run GDP RPeople
S
h
if
ts
See
variables + graphs on back page
plan for normal, anticipated
fluctuations. Measure actual vs potential GDP
in
fl
ation.
If
price
level
goes
up
before
B
asic
W
ealth
rises→consume
more (a)→shift up
(Y*) with full employment. Output gap = %diff = people plan, inflation is unanticipated, Interest rates up→less inventory (I₀)→shift down
Recession is decreasing
like being paid back in weaker dollars.
Expectations up→consume more (a)→shift up
output gap, recovery when
Exchange rate is the price in Canadian Higher sales→higher desired stock (I₀)→shift up
increasing. Depressions are long recessions.
dollars to buy one of another currency. Government Spending up (G)→shift up
Peak/trough when GDP hits local min/max.
More valuable currency is appreciating, T₀ up→shift down, t up→flatter
Output gaps put pressure on wages and working less valuable depreciating.
Trade Foreign GDP up→X up→shift up
hours. For example, COVID screwed GDP.
Labour force is people who Labour
Domestic price up→X down/m up→down and flatter
Biggest recession ever with fastest recovery
are 15+ and employed or unemployed CAD weaker→X up/m down→shift up and steeper
(job searching). Unemployment rate is
Modelling Change Express as
Fiscal Policy Government can take your money,
unemployed ÷ labour force. Potential or
growth rates, normally percentages per year,
spend your money, or give bonus money. Affects
full employment still has some
e.g. $2 after 50 yrs @ 5% is 2×(1.05)⁵⁰. The
disposable income YD=Y–T. The budget balance is T–G,
unemployed:
frictional
from
turnover
rule of 72 says it takes 72/x years for x%
aka the primary budget surplus (or deficit).
and structural from skill mismatch.
growth to cause a double.
Unlike monetary policy, fiscal policy lags. It takes time
Growth is limited by resources: exhaustion of Seasonal from yearly patterns. Cyclical to get information and decide, but also to implement or
from
the
business
cycle.
P
roductivity
is
supply or degragation of the environment can
execute the plans. This makes timing really hard.
halt growth. Sustained economic growth must GDP per unit labour, with people
(worse
)
or
hours
worked
(better
)
.
Savings The sum private + public where private is
be tech change (by definition, this is janky).
(= I₀ in Baby) and public is budget balance T–G.
In models, change is either endogenous
Aggregate Supply shows 1S–=bYis–Cmarginal
propensity to save, opposite of MPC
(explained by the model) or exogenous (not
the quantity of aggregate output Y
explained). E.g., in the neoclassical model
created if it’s sold at price level P.
Aggregate Demand is all equilibria points
tech is exogenous but endogenous technology AS slopes up
for different price levels.
Price–
models argue tech is affected by the macro
from increasing
As the domestic price
K
eynesian
model (so it’s explained).
unit (marginal)
level goes up, exports
range
Growth outside of the neoclassical model (i.e. costs. There’s a
go down and imports go up,
Price+
exogenous tech) is also called the Solow
flat “Keynesian”
making the AE curve shift
residual (or total factor productivity).
range somewhere
Y*
Y down and be flatter.
left of Y* and
Y
The AD curve is all the
Growth Models The neoclassical AS steep right of Y*.
equilibrium
points
growth model has diminishing marginal
The Philips
for all price levels.
returns to either Kapital, Human capital, or
curve shows
Y The curve’s sensitivity to
Y*
Labour, and constant returns to scale if both
sticky wages:
shocks depends on the
go up proportionally. In the long run, the only
wages rise quickly in inflationary gaps
simple multiplier since AD
change is tech which means LRAS is a
and fall slowly in recessions, since AS
AD
is just a bunch of Yₑ points.
constant vertical line.
Y
can’t shift as fast to fix them.
Modern models say tech is endogenous like,
The true multiplier (change in Yₑ given ΔA)
real
Living
learning by doing or innovation/competition,
is smaller than simple (horizontal shift)
shift
standards
which lead to increasing marginal returns. This
“
simple”
whenever AS slopes up.
increase faster
shift
is the only way we can get sustained growth,
The paradox of thrift is that if everyone
than scale
like the industrial revolution (see graph →)
saves, b goes down and everyone gets
Neoclassical model adjustment process in
poorer (Yₑ down)
response to an output gap always forces
1800 Time
Automatic Stabilizers are parts
supply to Y* in the long run ↓
S
upply/Demand of tax-and-transfer systems that reduces the
Short run assumes
Factor prices shift AS to
Long run has factor prices
D+→P+Y+ read as AD up causes
multiplier making AD more stable (smaller
constant factor prices
close output gaps,
fully adjusted, tech (Y*) is
price up and GDP up
changes in real GDP due to shock).
and tech
technology still const
changing
S+ → P− Y + S− → P+ Y −
Unlike discretionary (purposeful) fiscal policy
D+ → P + Y + D− → P − Y −
S+ D+ → P? Y+ S− D−→ P? Y−
adjusting G₀ or T₀, automatic stabilizers are
S > D → P− Y ? D > S → P+ Y ?
induced (automatically shift). Examples
Use to table to lookup cause from
include employment insurance, progressive
result or vice versa
taxes, and the welfare system.
Y*
Y
Y*
Y
AE
Price Level
LRAS
Price Level
Price Level
Price Level
GDP per capita
Nominal Wage
Change
Price Level
GDP
Ⓒ James/Mahbod/Imaad/Ainsley 2021. Don’t upload me to Coursehero :(
Y*
Y
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Money is a medium of exchange
AD/AS Curves Positive AD shock (from Y*)
AE Curve
in place of bartering stuff (which needs a
→inflationary gap
Net tax rate goes up
AE
coincidence of wants). This makes it a
→supply increases → t up → z down
useful store of value to keep the power to
→new Yₑ with price level up
→ graph flatter
buy stuff unless there’s hyperinflation
Causes similar to EC120 demand
→ Yₑ down
(inflation over 50% per month). Value
A
•
anything
that
shifts
A
E
up
Other causes
Y
measurement allows for it to be a unit of
Y*
• population up
• MPC goes down
account to balance.
Y • Imports up
Negative AS shock (from Y*)
Yₑ’ Yₑ
Coinage suffers from debasing (making
→recessionary gap
Foreign income up
lower quality coins) causing people to
AE
→gov spending can close gap
→X₀ up→NX up
hoard the better ones (Gresham’s law).
→new Yₑ with price level up
→A up→shift up
Paper money are promises to pay holder
Causes similar to EC120 supply
→Yₑ up by X₀ × 1/(1–z)
of paper the money. Can lead to runs on
Y
Other causes
A
Y
*
•
technology
le
v
el
down
the bank when everyone asks for money
• Wealth goes up
Both can cause • people/capital down
at once and there isn’t enough money.
stag
fl
ation
(price
le
v
el
•
factor
prices
up
Y • Future expectations up
Fiat money is not convertable into gold
Yₑ Yₑ’
• Interest rate down
and
unemployment
up
)
(e
.
g
.
oil
,
wages
,
commodities
)
or anything at all. Instead “pay to bearer
AE
Relative foreign
on demand”, fiat bills say “this is legal
prices down/appreciate
tender”. Almost all money now is fiat.
Bank of Canada is Canada’s central bank and
→X₀ down→shift down
has 4 main functions: (1) Banker to the chartered
Deposit money is made-up money in
→also IM up
A
banks that people “have”. Banks promise (commercial) banks. They keep deposits with the BoC,
→graph flatter
called reserves. (2) Banker to the federal gov, who keeps
more money than exists (fractional
→Yₑ goes down
some deposits. (3) Regulator of the money supply by
Y
reserves). Deposits are demand or
Yₑ’
Yₑ
N shifts up/down with A
buying and selling gvmt bonds. (4) Regulator of financial
notice depending if you can withdraw
but has opposite flat/steep
AE
whenever. Term deposits collect interest institutions alongside OSFI (Office of the Superintendent
Relative domestic
and no withdrawal until term is finished.
of Financial Institutions).
Bank of Canada Balance Sheet
prices down/depreciate
Assets
Liabilities
Near money is stuff with value easily
Reserves
→X₀ up→shift up
• Federal bonds
• Currency
A
converted (liquidated) into money, like
are a commercial bank’s
• Provincial bonds • Gov Deposits
→also IM down
term deposits. Money substitutes are
• Commercial Bank
cash and deposits at BoC.
→graph steeper
Y
Deposits
used in exchange but are not stores of
Yₑ
Yₑ’ →Yₑ goes up
Commercial banks in Canada
value, like credit card debt.
have a fractional banking system, so they reserve only some deposits. Reserves÷deposits is the reserve
ratio, and banks have a target reserve ratio (v). When above, lend excess reserves to collect interest.
Money Creation in banking
happens from: (1) immigrants bringing Example If a commercial bank with target ratio 10% gets a new deposit of $250. Target reserves are
cash to Canada (2) finding money under 10%×$1250 = $125, so excess reserves are $300 + $50 – $125 = $225 (BoC deposits are part of reserves)
beds and (3) when the BoC increases
Assets
Liabilities
Assets
Liabilities
Assets
Liabilities
money supply. When money is “created”
(i.e. deposited in a commercial bank), it
Cash
+250
50
Deposits
+250 1000
Cash
−225
300
Deposits
1250
Cash
75
Deposits
1250
moves through the balance sheets →
BoC Deposits
50
Kapital
100
BoC Deposits
50
Kapital
100
BoC Deposits
50
Kapital
100
Loans
900
Loans+225
900
Loans
1125
The total deposit money created is
(deposit)÷(target reserve ratio)
So the bank loans out $225 so cash decreases and loans increase. Lending to a second-hand bank
Fiat money is created by the central bank increases their cash, so they lend, repeating the cycle to make $250/10% = $2500 of new deposit money.
(the BoC) through purchase of securities.
Commercial Bank Balance Sheet
Money is “destroyed” in the opposite
A central bank digital currency would still have banks
Assets
Liabilities
process to creation.
acting as lenders and borrowers but commercial banks will
• Reserves (including
• Demand/Notice deposits
no longer be providers of medium of exchange.
Price Level
Price Level
Graph Shifts
Invert causes/effects to get the other directions
X
Money Markets
Apply S/D logic to the interest rate
(price) and quantity of money.
Increase in Y or P shifts MD up. MS
is vertical because it’s not affected
by interest rate
deposits at the BoC)
• Gov securities
• Loans (incl. mortgages)
• Canadian securities
• Foreign currency
• Term deposits
• Gov deposits
• Foreign liabilities
• Shareholder equity
E
Trends Actual GDP stays around potential. Labor force
grows, so (un)employment rises. Unemployment rate has no
long term trend (except for the massive COVID drop, of course)
Price Level
Price Level
i
Actual COVID EffectX
DJ’s COVID Obsession AE < Y but production
] Inventory down (decrease in I₀Ù
didn’t rise, so GDP fell.
] Quantitative easing: BoC buys federal bonds at all
The MD curve
i₀
Oil price drop
maturities to fund CERB (MS shift upÙ
comes from
(see below) so AD down
] BoC lower interest rate (decrease in iÙ
three reasons:
i₁
To fix, gov did CERB
] BoC buys provincial bonds for first time (MS shift upÙ
transactions
(transfer/negative tax)
M S₀
M S₁
]
G
o
v
ernment
increased
budget
defecit
(increase
in
D
Ù
demand (spending),
so T₀ fell and AD up
precautionary demand (rainy-day fund ] Commercial banks increased deposits at BoÝ
Wage subsidy (CEWS)
]
E
xports/imports
dropped
(NX
relati
v
ely
unaffected
Ù
/ keeping money in your pockets), and
lowers factor price,
] MPC fell (lot more savings)
Y
Y*
speculative demand (investing /
shifts AS right
diversification strategy). The
Potential COVID EffectX
Canadian oil prices
opportunity cost of money is the real ] Possible high inflation post-pandemic as reserves
fall: Fall in I₀ so AD
interest rate on bonds.
of banking system get loaned ou8
down (because oil
]
Possible
long
term
decline
in
potential
G
D
P
(Y
*)
as
Assume money neutrality in the long
industry worth less)
people were unemployed (get rusty) and missed out
run: % change in MS → same %
AS curve shifts right
on schooling leading to less productivity/human
change in P. Money neutrality is highly
(lower factor price)
capitaE
debated: hysterisis effects (reasons
Y*
Y
]
Population
decrease
as
immigration
dippe
4
why it shouldn’t be) change Y* and
] Stimulus packages could cause inflation
make AS and AD move different
amounts when AS returns to a new Y*: (1) investment can lead to growth in Y* (2) reduction in human capital during
recessions decreases Y* (people get
rusty when unemployed)
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Monetary Policy
Boomer Time
1983–1987
1987–1990
1991–2000
2001–2007
2007–2010
COVID lol
is BoC’s
decisions around the money supply and the
Recession:
Recovery:
Increased MS
Started inflation
9/11 happens
lol recession
Buy bonds to
interest rate. The BoC does not target the
targeting at 5%
happens anyways
fund CERB etc
Stagflation high
Try increasing
caused high
Reduce interest rate
eventually 2%
money supply directly because
money supply
inflation and
to prevent recession
Set 2% target now Reduced
This was bad
to avoid high
inflationary gap
because
so CAD appreciates
interest rate
(1) Cannot control deposits
Friedman
inflation
Also bad
(2) Uncertainty around position/slope of MD.
Bank of Canada Timeline
Instead the BoC targets the interest rate because
onetar Transmission echanism in closed economy starts with
(1) MD curve position/slope doesn’t matter
interest down → cheaper borrowing → more investment → AE up → AD right → Y up
(2) Easier to communicate to the public
(3) They control a particular interest rate
That particular interest rate is the overnight interest rate
i₀
which is bank-bank (market-determined but BoC punches
the market in the face eight times a year at FADs). The bank i₁
MD
ID
rate is BoC charges to banks (0.25p.p. higher), deposit rate
Y
Y
Yₑ Yₑ’
M
S
₀
M
S
₁
I
₀
I
₁
Y*
is BoC pays to banks (0.25p.p. lower).
In open economy, lower interest → less attractive for foreigners → currency supply lef t
Once the BoC targets the interest rate, the associated
→ depreciate → N up, which ust exaggerates the existing effect on AD / Y / price level
excess supply/demand is closed through open market
A stepper MD curve or flatter I curve → greater effect on Y from increased MS
operations with commercial banks: selling/buying bonds
from them. This makes MS endogenous. Since changes in
Expansionary
Increase in GDP
investment take time, monetary policy lags. policy shifts
moves down
M
i
s
Fi cal Policy is government decisions around expenditures and taxation.
Two sources of money: net taxes (T) and borrowing, and they also have
two expenditure accounts: spending on goods and services (G),
and debt-service payments (iD). When governments spend more than they get,
they run a budget deficit (ΔD). This must be financed with new borrowing (ΔD),
so we have ΔD = (G – T) + iD
When ΔD positive, the existing stock of debt increases and when ΔD negative, it decreases.
The deficit ithout debt is called the primary budget defecit = G – T.
Debt as a nominal value is meaningless, so we measure a country ’s indebtedness with
the debt to GDP ratio (d). The change in the debt-to-GDP ratio is Δd x + (r–g)×d
where x is the deficit-to-GDP ratio, r is the interest rate, and g is the gro th rate of GDP
=
j
w
The structural budget (aka CAB/cyclically ad usted budget) deficit is the deficit that would
exist if real GDP was e ual to potential. The government uses it to determine its stance on
fiscal policy since must comprare between cabinets in charge during booms and busts.
If actual deficit > structural deficit, in a recessionary gap. If actual < structural, inflationary.
q
w
with a current account deficit (Canada should not borrow from the rest of the world)
Regulation of the housing market in Canada has included lower down-payments and longer
amortizations but never negative real interest rates.
NS left
Crowdin
t happens when governments run big deficits
→ lower i
→ lower I
which increase their stock of debt. This causes cro ding out /
decreases in investment and net exports.
NS₁
More spending → decrease in public saving → NS shifts left →
higher interest rate → investment crowded out.
NS₀
I
Higher interest rate also attracts foreign capital → increase currency
₁ ₀
demand → appreciate currency → net exports crowded out.
Q Q
C
The current account
splits into the trade
account and the
capital-service
account.
q
exports
TA
investment income
SA
transfers from foreigners
SA
receipts from asset sales KA
C
C
imports
TA
investment expenses
SA
transfers to foreigners
SA
payments for buying assets
KA
official financing KA
C
C
=$
If unbalanced, there’s a statistical discrepancy (CA + KA + SD
0),
usually negative because people tend to underreport foreign assets.
Exports/Imports are split up into merchandise and services.
Merchandise includes goods like lumber, oil, minerals. Services
include things like tourism.
Like many other ‘developed’ countries, Canada has been a large
international debtor for most of its existence.
Alternatively calculate CA by national savings net of investment, i.e.
CA (GNP − T − C) + (T − G) − I where gross national product is the
GDP + net investment income.
=
Y
Y₀ Y₁
Y
Y₀
Problems with Debt and Policy
Having a large stock of debt is bad, so people
complain about tHe FuTuRe GeNeRaTiOnS. Deficits
are ok if spent on I₀ instead of C because that
increases Y* which makes it easier to pay back
Exchange Rate
Markets
Q
are like any other
competitive market. P and act like normal S/D curve except price is the
exchange rate from
to Y (units of
needed to buy a unit of Y) and
the uantity is the uantity of Y in that market.
q
q
$X-$Y Exchange Rate
s
Balance of Payment
is how we record all
the transactions between Canada and the rest of the world. It is
fixed by design. The current account deals in goods and services,
while the capital account measures asset-related transactions.
When money is spent elsewhere, something of e ual value is given,
so A + KA = $0.
Credits
Debits
deficit curve
Some politicians insist on a balanced budget. There
are three ways to do this and they all suck.
(1) annually balanced budget removes automatic
stabilizers and prevents the right policy being used
in output gaps.
(2) cyclically balanced budget is hard because
nobody agrees where Y* is.
(3) prudent debt-to-GDP ratio also forces low
spending, stopping inflationary policy.
Interest Rate
w
curve
When goverments have continued budget defecits,
and they cannot increase in taxes, BoC has to
monetize the debt: buying bonds and paying down
debt directly. This can cause inflation.
For fiscal policy, high debt-to-GDP → hard to find
lenders → expansionary fiscal policy is ineffective
→ stuck in recession.
T in deficits are bad: a government budget deficit (the government should not borrow)
g Ou
Primary Deficit
j
Primary Deficit
X
w
Price Level
y
AE
M
$X $
$
$X
$
æ
$
Demand for Y shifts right when
Increase in demand for Y’s good
Inflation in country
Supply of Y shifts right when
Increase in demand for ’s good
D Y
Inflation in country Y
Y
$
å
å
$ åå
Q$
S Y
$
Market does not always make currencies e
q
X
X
æ
ì
ì
ually valued, so alternatively
measure by making the price of goods (e.g. Big Macs) e ual. This is the
purchasing po er parity price in
price in Y.
q
=
$X ÷
$
Some countries like to fix their exchange rate, to decrease the risk to
importers and exporters e.g. China, which enjoys being an exporting
nation, has a fixed exchange rate to keep the yuan from appreciating.
They do this by increasing their foreign exchange reserves, artificially
increasing the supply of yuans to the market
w
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CPI and
Inflation
Calculations+Examples
2018
Good A
Given base Good B
year is 2018 Good C
(CPI = 100), 2019
find inflation Good A
between 2018 Good B
and 2019.
Good C
Total Expenditure (2018):
GDP Deflator
PPP Given Big Mac costs 390¥ in Japan and 22.40元 in China, the
Real GDP 2019 (using 2018 prices):
Bond Market Equilbrium Given a interest rate below
equilbrium, there will be an excess demand for money, leading to a
sale of bonds, a decrease in the price of bonds and an increase in the
interest rate back to equilbrium. An interest above equilibrium would
have opposite effects.
Price Quant
Calculate
$1.10
90 the GDP deflator of this economy
$1.90 215 in 2019 if the base year is 2018
$4.80
90 GDP 2018:
$2.00
$2.20
$9.50
130
210
88
Nominal GDP 2019:
Total Expenditure (2019, with 2018 quant):
Calculate CPI for 2019:
z = b(1 – t) – m
C = a + b(YD)
YD = Y – T
T = T0 + tY
NX = X – IM
IM = mY
G = G₀
X = X₀
I = I₀
Exchange Rate
CAD to USD rate went from 1.13 to 1.21.
CAD depreciated as more CAD to buy 1 USD
CAD to USD rate went from 1.27 to 1.13.
CAD appreciated as less CAD to buy 1 USD
A | all autonomous expenditures
z | marginal propensity to spend
b | marginal propensity to consume
m | marginal propensity to import
C | desired consumption
a | autonomous consumption
YD | disposable income
Y | national income T | net tax revenues
T₀ | autonomous tax revenues net of transfers
t | net tax rate of all taxes net of subsidies
NX | desired net exports
X | desired exports
IM | desired imports
m | marginal propensity to import
For simplicity, all autonomous with no induced
G/G₀ | desired government expenditure
X/X₀ | desired exports
I/I₀ | desired investment
Variable Reference Table
AE = A + zY
yen-yuan PPP exchange rate is 390/22.40 = 17.41¥/元.
But if the actual exchange rate is 16.11¥/元, so the yuan costs less
than it should (undervalued) and the yen is overvalued.
The percent undervaluation (with respect to the actual exchange rate)
is (16.11¥ − 17.41¥) / 16.11¥ = −8.1%
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