Term Two Flashcards
What three factors contribute to the Solow Growth Model?
Technical Progress (A)
Capital Accumulation (K)
Population Growth (L)
Define Y/L
Y/K
K/L
Y/L = Output per capita Y/K = Output capital ratio. K/L = Capital per capita
What are Kaldor’s Stylized facts on Growth?
1) K/L and Y/L ratios grow through time.
- Capital Intensity grows through time.
2) The K/Y ratio is steady.
- K and Y grow at a similar rate in the long run.
3) Hourly Wages keep on increasing.
- Y/L increases, productivity increases, meaning wages increase.
4) Profit rates are steady.
- Y/K is constant, output per K is constant (returns to K are constant).
5) The share of L and K in total income remain constant.
- Not matter the level of profit or wages, the shares remain the same (in terms of proportion).
Explain the role of savings in the Solow growth model.
All savings are channeled to investment.
Investment leads to more output.
Higher output will result in more saving and further investment. This is how long-run growth occurs.
What are the two assumptions about the Solow growth Prod Func?
1) There are diminishing marginal product of K and L
2) There are constant returns to scale.
- If you increase K and L by the same amount, Y will increase by the same amount.
this second assumption allows us to write the production function in intensive form.
What do the lower case letters in the intensive form signify?
They signify a ‘per capita’ value.
What does the intensive form production function diagram look like.
The normal production function, just with per capita y and k values on y and x axis respectively.
What is the relationship between Investment, Saving and the Solow growth production function?
S=sY where s is the savings rate
I=S therefore I=sY
I/L = sY/L
Y/L =y=f(k)
f(k)s = I/L
What does it mean if K depreciates?
Depreciation is where capital loses value through use or just time.
Depreciation is the reduction in the stock of capital.
Sigma denotes this.
What is the fundamental Solow Growth Equation
Change in k =sf(k) -(sigma + A + n)k
What is the steady state?
It is a point where there is no capital accumulation or reduction.
sf(k)=sigmak.
Draw the steady state in a diagram.
Lecture wk 13
Slide 27.
The production function is the highest curve. Then lower with similar gradient is the savings function.
Below that is the depreciate (capital Widening line)
Steady state capital is where saving function crosses the depreciation line. Kbar.
What is the rate of growth for K and y in the steady state?
It is zero.
If s increases the equilibrium k and y values (k,y) will increase. However growth will only actually occur in the transition towards the steady state.
What affect do policies aimed at s have?
They will cause a chnage in the Level of per capita income, but not the rate of growth. (In the steady state)
Policies do NOT affect the long run growth beyond the transition period.
slide 33 lecture 13 has a diagram to explain this effect.
What is the rate of growth in y in the steady state?
The rate of growth of y in the steady state is the rate of population growth, n+a possibly or a
that is the change in Y over Y.
What will happen if there is an increase in technical progress, population growth or depreciation rate?
The capital widening line will rotate outwards.
What does Y=F(K,AL) mean
It is labour augmenting technical progress.
AL is now effective labour.
It is labour being measured in efficiency units.
Growth of AL= n+a
What is the steady state growth of Y and K?
What is the growth of Y/L and K/L?
What is the growth rate of y and k = K/AL.
n+a
a
0
Give two ways which will cause a countries’ income to grow through time.
Accumulating K in the transition towards the steady state.
Technical Progress (or pop growth??) During the steady state.
What factors cause one country to be richer than another?
- Savings rate
- Technological Progress
- population growth.
The further an economy is from the steady state, the faster it will grow.
What is Absolute Convergence?
It is where two countries who have the same s, sigma, n and production function, giving the same y and k.
The Poorer country will grow faster than the richer one and will catch up in the transition toward the steady state.
They grow through capital accumulation and there is diminishing returns to capital. The further you are from the steady state, the higher your return.
What are the axis and curves for the Convergence diagrams?
What is different for conditional convergence?
y axis= sf(k)/k
x axis = k
Straight horizontal line; sigma+ n + a
Downward sloping curve; sf(k)/K
For conditional, you draw two steady states and show how the one further from its own SS grows the fastest, regardless of whether it is poorer or richer to begin with.
What is the growth accounting equation?
dA/A = dY/Y -Sl(dL/L) - (1-Sl)(dK/K)
where Sl is the share of labour so the other is share of capital.
What is the Solow Residual?
It is the growth in output which cannot be explained by factor accumulation.
It is effectively Total Factor Productivity (TFP).
What is the difference between endogenous growth theory and solow growth theory?
In Endogenous, the growth does not converge to steady state.
There is constant MPK.
Increases in S or A will have a permanent effect on growth.
Returns to K have to be exactly 1. If they are > 1, explosive.
Why does Human capital not have diminishing returns?
It is because the Private Returns are diminishing.
However their is a positive externality to the rest of society.
So overall there are constant returns to scale.
What is the growth formula including Human Capital?
Y=AK^aL^bH^d
a+b+d=1
A=H^1-d then
Y=K^aL^bH
d= Private gain from H
1-d The external gain from H.
1-d is what the government should fund
What do the first branch of NGT models suggest about LR growth?
Externalitites from HK and infrastructure will lead to growth in the long-run.
What do the second branch of NGT models suggest about LR growth?
Knowledge can be used endlessly and has constant returns as a result of this fact.
property rights will incentivise knowledge discovery, but will then make the knowledge excludable.
How is Knowledge accumulated?
It is accumulated through;
Doing things and learning from them.
R&D; Research will create new knowledge.
What is intertemporal trade?
What is the price of intertemporal trade
Borrowing and Lending
The price is the real interest rate r. `
What are the assumptions of intertemporal trade?
- There are perfect financial markets to trade within. (They provide the link between the present and the future).
- Only two periods; present and future.
- Future variables are only expected, based on;
- Rational expectations (on average correct)
- Rules out systematic errors.
(A systematic error is an error with a non-zero mean. So when you average out your results, it still has an effect on the data).
What determines the price of;
- Tomorrows consumption today.
- Todays consumption tomorrow.
1/(1+r)
(1+r)
Where real interest rate is the opportunity cost of borrowing today or consuming today.
how can you tell if someone is a borrower or a lender?
Y1-C1>0 Saver/Lender
Y1-C1
What causes a shift in the IBC?
A change in either Y1 or Y2 will cause it to shift.
Either one will result in a parallel shift either inwards or outwards.
How do firms increase their future income?
They invest in K (capital) which is non-consumable.
They can borrow at rate (r) to invest with or they can use their retained profit from previous periods to invest with.
What is the net present value of investment for a firm. When is it profitable for a firm to invest.
V=F(K)/(1+r) - K
It is profitable to invest up to where V=0.
How to find max profit from investment?
Draw a diagram.
Cost of borrowing: (1+r)K
Gain of borrowing: Y=F(K)
Where the two intersect is the profit max.
Profit is given by the points where the prod func is above the cost of borrowing line.
What happens if all of someones income saved is then invested?
Y1-C1 = I1 = K2
Where K2 is the capital available in period 2.
That means the income in period 2 is;
Y2 + F(K2)
Because it is what the capital produces to give income, as it cannot be directly consumed.
What is the consolidated private sector budget constraint?
C1+C2/(1+r) = Y1 +Y2/(1+r) +F(K2)/(1+r) -I1
What effect will investment have on someone’s wealth?
It will cause their wealth to increase, thus their IBC will shift outwards.
What can government debt be split into?
- Primary deficit G1-T1
- interest on debt from past rg.
What is the expression which explains government debt?
T2-G2=(1+rg)(G1-T1) + D1 +rgD1
What is the IBC for Government?
D1+G1+G2/(1+rg) = T1+T2/(1+rg)
When government debt = 0 what is the nation’s IBC?
C1+C2/(1+r) = (Y1-T1) + (Y2-T2)/(1+r)
If the government interest rate rg is equal to the nation’s interest rate r, what is the nation’s IBC?
What is said about this?
C1+C2/(1+r)=(Y1-G1) + (Y2-G2)/1+r
It is ricardian equivalence.
It means the private sector internalizes the public sector.
What effect does ricardian equivalence have on consumers?
COnsumers know that if the government cuts taxes, government expects consumption to rise.
However, because of ricardian equivalence agents know that governments will have to increase taxes again in the future. They will save their extra income in order to prepare for this to happen.
What is the current account of a nation?
It is the Primary current account + Interest payments on Net foreign assets
What happens if rg =r and there is a tax change?
You use the equation with G spending.
Ricardian equivalence suggests that tax is embodied in the equation, therefore no change.
Why may Ricardian Equivalence fail?
- Different interest rates.
- Not all citizens will be alive in the same period (mortal)
- Not all citizens have the same taxation profiles.
- Credit constraining providing borrowing restrictions.
- Distortionary taxes. The tax will change incentives which will affect consumption choices.
Is consumption more or less volatile than its counterparts? Explain why?
It is less volatile than Output and significantly less volatile than investment.
This is because consumers take part in consumption smoothing to aid this.
Why does keynesian consumption theory fail?
C0+C1Y = C
where c1 is MPC
and c1+c0/Y is APC.
This implies that the volatility of consumption is equal to the volatility of output which we know not to be true.
var(co+c1Y) = Var c1^2Var(y)
Which is not true.
What is the optimal amount of consumption from the micro founded theory of consumption?
That MRIS=(1+r)
It is where the consumer’s budget constraint and indifference curves are at a tangent to each other.
What is MRIS
Where MRIS is the marginal rate of intertempotal consumption.
The rate at which you give up one unit of consumption tomorrow in return for consumption today.
MRIS is the slope of the indifference curve.
What is the slope of a consumer’s budget constraint?
-(1+r)
What would cause a change in income and what effect would it have on the economy.
Temporary change; A good year of profits for a firm.
Permanent Change; A technical discovery.
Both of these cases will cause the curve to shift to the right, however;
Temporary will lead to a smaller shift than permanent.
What effect will Y1 increase have?
What effect will Y2 increase have?
Explain?
Y1 increase will cause increase in consumption of both periods, because of consumption smoothing.
Y2 increase will cause consumption in both periods to increase also. This is because people are able to borrow against their future expected incomes.
because of perfect financial markets.
What is the permanent income hypothesis?
It is that Consumption depends soley upon the permanent income of an individual and that temporary changes will only affect the average propensity to consume.