The IS, MP, and Phillips Curves + Derived Demand and Supply Framework Flashcards
National Income Accounting Identity
Yt = Ct + It + Gt + EXt – IMt
Yt = Ct + It + Gt + EXt – IMt
National Income Accounting Identity
What are the 3 approaches to measuring GDP?
- Expenditure Approach - counting all purchases
- Production Approach (value added) - Net value of goods produced in the economy
- Income Approach - Income earned in the economy
Expenditure = Production = Income
What does the IS curve capture/show?
Captures negative short-run relationship between r and y
– Interest rate increase depresses investment and lower consumption
– In turn, lower investment and consumption decreases output
How do you derive the IS curve?
- Rewrite National Income Accounting Identity to make It the subject:
It = Yt - Ct - Gt + IMt - EXt - Add and subtract tax revenues:
It = (Yt - Tt - Ct) + (Tt - Gt) + (IMt - EXt)
Investment = Private Savings + Public Savings + Foreign Savings - Each component is assumed to be a proportion of potential output:
EXt = āexȲt, IMt = āimȲt, Gt = āgȲt,
Ct = āc - bc[Rt-β]Ȳt - If these components are smooth, then GDP volatility must depend on Investment:
It/Ȳt = āi - bi(Rt - r)
(Where Rt = Real interest rate and r = MPK) - Divide national income accounting identity by Ȳt and substitute component assumptions:
Yt/Ȳt = āc - bc[Rt-β] + āi - bi(Rt - r) + āg + āex - āim - Condense all a components into a single a bar and (Yt/Ȳt) -1 becomes Ỹt:
Ỹt = ā - bc[Rt-β] - bi(Rt - r)
What does the - bc[Rt-β] component of the IS curve represent/show?
Short-run output fluctuations depend negatively on the gap
between real interest rate and discount factor
What does the - bi(Rt - r) component of the IS curve represent/show?
Short-run output fluctuations depend negatively on gap between real interest rate and MPK
What does the a bar component of the IS curve represent/show?
Captures aggregate demand shocks
Changes in sensitivity of expenditure to potential output
Describe the IS curve
A downwards-sloping straight line with gradient -1/b = -1/(bc+bi)
If b increases, what happens to the IS curve?
- Higher sensitivity of It or Ct to interest rate
- Gradient decreases in slope by pivoting about the point (0, r)
Suppose information technology improvements create an
investment boom. What will happen to the IS curve?
The ai parameter increases so a overall increases. This shifts the level of output higher for any given level of R so the IS curves shifts rightwards
This is true for any shock which affects an a component
How do different central banks control interest rates?
The Bank of England sets the ‘Bank Rate’ which is the interest rate on reserve balances
The Federal Reserve sets the ‘Federal Funds Rate’, the interest rate paid on an overnight loan
The European Central Bank sets the main refinancing operations rate which is the rate on weekly ECB loans
Fisher Equation
it = Rt + πt
Nominal interest rate = Real interest rate + Inflation rate
it = Rt + πt
Fisher Equation
Why does the Fisher Equation show how the Central Bank controls R?
Rearranged to Rt = it + πt, and assuming that inflation is sticky (as in acts very slowly), changing nominal interest rates has a direct short-run effect on real interest rates
Describe the MP curve
A perfectly horizontal line which intersects the R axis at r (nominal interest rates)
What would happen to the IS curve if there was a sharp fall in house prices and how might the central bank respond?
A sharp fall in prices is a negative aggregate demand shock.
The IS curve will shift leftwards, reducing Ỹ.
The central bank will respond by lowering nominal interest rates (the MP curve will shift downwards) so that the IS and MP curves again intersect at Y0
What equation do firms (essentially) use to set their prices?
πt = Etπ(t+1) + vỸt
Current Inflation = Expected inflation + Demand conditions
πt = Etπ(t+1) + vỸt
The equation which firms essentially use to set their prices
Backward-looking Inflationary Expectations Equation
Etπ(t+1) = π(t-1)
Etπ(t+1) = π(t-1)
Backward-looking Inflationary Expectations Equation
Phillips Curve
πt = π(t-1) + vỸt
( Δπt = vỸt )
πt = π(t-1) + vỸt
( Δπt = vỸt )
Phillips Curve
What is the NAIRU?
The Non-Accelerating Inflation Rate of Unemployment