Chapter 2 Flashcards
(14 cards)
what is the natural level of unemployment?
the long run equilibrium rate of unemployment
how do we determine the natural (LR equilibrium) level of production?
Yn = F(K, Nn) = F(K,E (1-Un) L
what 4 factors does LR natural production level depend on?
stock of capital (K)
size of labour force (L)
the natural rate of unemployment (Un)
The technology (E)
what is the production function? what are the 3 properties we assume it has?
Y = F(K,EN)
1. marginal products are positive
2. marginal products are decreasing
3. constant returns to scale
what is the cobb douglas production function?
Yn = K^a (EN)^1-a
a between 0 and 1
how do we calculate MPK and MPL? How does an increase in capital or labour affect them?
MPK = derivative w.r.t K
MPL = w.r.t L
MPK = ak^a-1 (EN) ^1-a
MPL + (1-a) E^1-a (K/N)^a
when L goes up MPK goes up
improved tech causes MPK to go up
increased capital input leads to MPK down
using the cobb douglas MPL = (1-a) Y/N how do we see that price is proportional to the unit labour cost WN/Y?
P = 1+ markup (u)/ (1 - a) x WN/Y
how do we calculate labour share of income? what makes the share higher or lower?
WN/PY = 1-a/ (1+ markup(u))
the more important capital is the lower the labour share
less competition in product market = higher markup and a lower labour share. High income 2/3
how do we calculate real wage?
real wage = nominal wage/price level
MPL/ (1+ markup (u)) = W/P
how is price elasticity of demand calculated?
Yi = d(Pi/P) Y
n = dYi/Yi / Dpi/pi
= Dyi/dPi Pi/Yi
What do firms do in a monopolistically competitive market? how do they maximise profits?
produce differentiated goods and face limited demand
cannot sell any amount they want at a given price
downward sloping demand - tradeoff between price and quantity
produces where MR = MC setting a price with markup over MC
how do we calculate MC? What is the equation for the economy’s price level?
MC = W/MPL
P = (1+ u)MC
= (1+ u) W/MPL
what does the price level depend on?
markup
wage
MPL
what does MPL depend on?
Technology
amount of capital per worker