Lecture 27: New Keynesian Sticky Prices I

IIT Kanpur July 201
20 followers
2 Video Views·Dec 1, 2023
Welcome back, so let us start, we are going to start a new topic now, now we will be talking
about the Keynesians, new Keynesians, salt water.
Salt water school of economic thought became quite a popular history, school of economic
thought and it is still exist and you have a lot of developments taking place, so salt
water school of economic thought believes that you have a role of the government and
the government intervention becomes important, so it is attached with the new Keynesian school
of economics.
So, here we are going to talk about the sticky price model, so sticky prices which means
that when you have rigid, so far what we have discussed is whether it is real business cycle
or the Keynesian coordination failure model, in both cases we did not focus more on the
rigidity part or a sticky part, so the prices and wages were flexible, so we were just superimposing
the condition that when you have the rate of interest higher, how the labour market
is going to react, so that is what we had the output supply curve and then we also had
the output demand curve.
And then we also superimpose the condition that if you have a increase in rate of interest
then whether the labour will go for current or future, so what will be the substitution
effect scenario.
Here we will be trying to look at the stickiness that we talk about in macroeconomic context,
when we have a context, when we have the scenarios wherein we are, so in real life
when we say about flexible wages and prices it may not be easily acceptable, because in
most of the situations what we see that the short run adjustment is difficult, in long
run adjustment is easier, so maybe in the long run when you think that when you are
going to old then you will have a different lifestyle, but in the very short run period
maybe less than a year or so it will be difficult to change your behaviour in a big way.
In the same way when you look at the macroeconomic variable then it becomes really difficult
to understand that how things are changing at a much larger scale, so we are trying to
understand the sticky prices in that direction.
So the reference book remains same, we are talking about the Stephen Williamson and we
are trying to understand the new Keynesian model with sticky prices, how in the Keynesian
coordination failure model we understood that money is not neutral, but we will be also
saying that in more formal way we are introducing the Keynesian idea of stickiness in the short
run and then we will see that how new Keynesian idea will try to further substantiate that
argument that we had in the previous session.
So how government policy both monetary and fiscal policy works in the new Keynesian sticky
price model, so there it becomes really crucial that how new Keynesian model helps understand
the stickiness and how we can think about the interaction of monetary and fiscal policy
under the stick price model.
Show the implications of new Keynesian model for what we should see in the data and the
optimal monetary policy, so maybe here we will be looking at the Taylor rule and further
the dynamics that are useful in understanding the monetary policy making.
So the art of monetary policy making what it involves we will be talking about that.
What are liquidity trap in the new Keynesian model, so in which also in the if you remember
monetary intertemporal model we talked about the zero lower bound where we had the when
we say that the money supply and the bond that you have if both are equal then we have
the liquidity trap situations we will be talking about and how negative interest rate policy
works in which all directions and then we will be at last highlighting the limitations
of the new Keynesian model.
So this is our what we are trying to understand, now let us first understand what do we mean
by the sticky price model.
When I am saying about the sticky price model that then it involves two things, first thing
is that how individual perceive about future that if I am standing today here how I am
thinking about after 1 week, 10 days or 15 days or 20 days.
Now the second aspect is that when I am talking about the expectation then I will also think
about that what will be the cost of that expectation.
So if I am the shopkeeper and if I am selling some goods and I know that price of this good
is going to be higher in future, so this is my expectation but the cost would be that
if I am going to increase this price then if all others are not increasing the price
then I may be the loser that the customer that who are coming to buy goods from me they
may go to those sellers who are not increasing the price.
So if you are expecting certain thing in future it also has some amount of cost involved and
those cost involved are having the main attention of new Keynesian school of economic thought
that how when you have a price change happening in the economy in the short run it does not
lead to immediate change in everything.
So this is what they try that if you have a, they try to make, if for example they have
a, if you see that inflation is going to be higher then you will not find that everyone
is increasing the price immediately.
Immediately the price of raw material has gone up but the final product output may not
be going that higher.
You can see the best example is that most of the car companies are facing the problem
of semiconductor shortage and as a result what is, what has happened that in some or
the other way and since the metal prices are also going up post COVID-19.
So the companies are trying to cope up with the existing prices, they are not increasing
the price immediately.
Some firms have gone for margin increase, they are trying to pass the cost in a gradual
manner, they are not passing those costs immediately to everyone.
So that becomes an important scenario to understand.
The typical example, the very conventional example that the Keynesian school of economic
thought always cites is about the menu cost.
So what is the menu cost?
So menu cost is that when you are, if you are owning a restaurant and if you are running
in a very downtown street then there it may happen that if the cost of input is going
up then whatever the ingredients you are using to have, to serve to the customer or to prepare
good food to serve to the customers, if the input prices are going up you wait for some
point, you wait for some time, you do not pass that increased price immediately to customers
because it is assumed that if you are going to change the price of the menu quickly then
you also incur some extra cost.
What is those extra cost?
Extra cost is that you will have to go for printing, you will have to go for thinking
about how much I have to increase.
So if you are going to increase the, if you are going to see the increase in printing
cost, so if you are having extra cost attached, if the printing of your menu then this will
also create an extra burden.
So if the prices are changing quite frequently in the short run it will not lead to change
in price of most of the items, it will have some kind of stickiness, rigidity in prices.
In the same way when we talk about wages, so a classical argued that the wages and prices
are flexible and the real business cycle model and even the Keynesian perspective they added
with the help of I would say neo-classicals.
What was the idea?
Idea was that how we can understand the business cycle dynamics with flexible wages and prices
with the role of expectation.
Here in this situation it happens that if there is a role of expectation, right, if
you have individuals or if you have firms looking for some amount of I would say the
or if you have individuals talking about or I would say some firms in the economy talking
about the price rise then you will find that they will not be following the price rise
trend immediately.
They will wait for some time because there are not just the menu cost, printing cost
but there are also other concern that if all are not increasing the prices then you will
always have the risk of losing your business.
So in the very short term you will find that the prices do not change.
And in the same way that I mentioned about the wages, so I was highlighting the wages,
the way we are describing the prices of goods and services it is also directly applicable.
So, in case of classical what we saw that prices and wages were flexible.
In case of Keynesian the wages are also sticky in the same in the sense that the contract
the kind of formal agreement happens between the employer and employee, it sometime in
the short run it may not be as flexible as emphasized by the classical.
It may take some time.
So, those kind of those angles are added to the new Keynesian school of economic thought.
The second argument that the or second proposition that the new classical have is the monetary
policy as a fixed target for the interest rate supported by setting the money supply
appropriately which means that when you have money supply increase as they argue that money
is not neutral in the case of new Keynesian school of economic thought.
So, when money supply is increasing then this is having positive impact on ratio of the
macroeconomic variables.
And there will be certain role, expectational role of the of certain macroeconomic variable
certain agents in deciding about the role of monetary policy in the economy.
So, there you have and here they also decide about the threshold that if you have the optimal
level of supply in the economy, if you have no output gap, if you do not see any kind
of deviation from natural rate of interest then everything will go as usual, but they
bring one intervention here about the wage rigidity.
So, once you have the wage rigidity playing a very important role then the understanding
of money supply becomes in interesting in the sticky price model.
Here you have a employment determined as the quantity of labor required to produce the
quantity of output demanded at the fixed price of the goods.
So, this is very common that we find in most of the cases.
Now the new Keynesian model here in this case it becomes really important, let us look at
the chart B which is crucial.
Now here in most of the cases we are seeing that this is the output production function,
this is the output y star is the output, n star is the labor, here you have the money
supply, here you have the P L y star r star, so this is how you have.
At this price here you have the P star and this is the money supply and this is the demand
for money and r star is the same that we have the Fisherian demand for money that we derived.
Now here demand and supply but at this wage rate here you have the labor supply this much.
Now B is crucial, here we are seeing that r m and y m is the equilibrium level of rate
of interest and the output.
So this is the equilibrium level of rate of interest and output.
Here you have to make sure that what we are seeing is that r star is linked with y star
and linked with y 1 also, right.
So if r star is the equilibrium, let us first deal with r star and y 1.
Firms would like to supply suppose y 1 output it is willing to supply and it is desired
to supply y 1 output but it is supplying only y star.
So this gap that you have y star minus y m or I would say, so this is the scenario that
you have that this is equilibrium output, right and equilibrium rate of interest and
this is also called as the natural rate of interest at which you have the equilibrium
output, right.
The actual supply, actual output supply the firm wants to supply this much but because
of this wage rigidity that you have because of labor supply firm with the given rate of
interest it is supplying only this y star which means that y m minus y star becomes
some kind of output gap scenario or I would say y m minus y 1 becomes the output gap scenario.
So these two are the important aspect to look at.
So here what it means that the deviation from y m either to y 1 or y star it creates some
kind of scenarios under which we are not at equilibrium, right.
So if any deviation from equilibrium this creates the output gap kind of scenario.
So in case of new Keynesian model this is what it implies that given the output demand
which is nothing but the IS curve that you have already dealt in most of your basic macroeconomic
textbook, this IS curve which is the demand it shows that here you have the output of
r star and y star.
This is the willingness to supply which means that it is talking about capacity, this is
the actual but you are supplying only y star and this is primarily attributed due to this
y star and n star.
So in the short run this is how the Keynesian function looks like and Keynesian model looks
like.
Because in Keynesian model if you have this output gap created and this creates the problem.
So output gap that you have it is the difference between equilibrium output if prices were
flexible then the actual output, so actual output is this, this is equilibrium output
so y m minus y star is nothing but the output gap and this is where we have the role of
lot of policy that what we can do so that we can reach at y m at least if not y 1, we
can at least come to this point, we can come down and we can reach to r m minus y m, so
this is how it looks like.
The natural rate of interest that we have it is r m, it is equilibrium rate of interest
if prices were flexible but since prices are not flexible so this is how we are seeing
and this price is not flexible it is also linked with the w star and n star.
So this is how it implies, rest of the things are very simple to understand not much to
deal with.
Let us understand that what happens when we have the money supply decrease.
So when we have a, when we talk about the Keynesian idea, so Keynesian idea is always
talking about some kind of process through which we try to understand the behavior of
most of the macro variables that how the macro variables are reacting in the context of mostly
the short run and here what we are trying to understand is that if you have a more number
of variables whatever we have understood in the last session about consumption, about
investment, about real wage, about the employment whether those variables are also pro cyclical
in this case.
So in case of new Keynesian this is where we are talking about a decrease in the central
banks interest rate target in the new Keynesian model.
So here what we have is that here we have the labor supply right, once we have the labor
supply so this is the initial condition.
So here we have w1 and here we have n1.
So what we are saying is that this is the equilibrium point r1 right and this is the
r1 y1.
This is the scenario, so this is p1, so in order to make sure when money supply increases
the role of the central bank is to maintain the price stability, so it tries to maintain
right whatever adjustment it makes.
So it is p fixed, so prices are sticky not changing though there is a change in the money
demand but this is not, this is whatever you have increase in money supply this is
also adjusted with the money demand.
So it is almost same, so price does not change.
Here we have n1 y1 right, so here what we are saying that when we have increase in money
supply right this might be a scenario in which the central bank wants to maintain the inflationary
scenario in the country or maybe the better outlook.
With the increase in money supply this we have, so this I explained with both the scenario
but let us deal with the superimposition scenario when ms1 and ms2, if ms1 is shifting to ms2
this is leading to increase in money supply which means that the rate of interest is going
to be lower.
So this rate of interest is going to be lower.
Once we have the rate of interest going to be lower what typically happens that investment
is going to shoot up, when investment is going to shoot up then you have a more of output
increasing right.
So this y2, so output shift to y2 right and here it touches to this point right, here
we have earlier it was y1 but because of the rate of interest decrease here you have y2.
Now this y2 corresponds to the point at which here we are seeing that there is an increase
in output and increase in employment, here we have n1 and m2, n1 denotes the labor let
us not get confused, m1 is the money supply, y1, y2 are the outputs and r1, r2 are the
rate of interest.
Now this particular chart is very crucial, with this rate of interest getting lower the
individuals will be tempted to work for more and as a result what we see is that here you
have the supply of labor increasing right and what typically it happens that in this
situation when you have the r2 rate of interest lower, here individuals are, so the wage rate
is going up and when we have the wage rate going up we see increase in employment, so
which means that this when I am linking r2 with yt due to increase in money supply this
is leading to increase in output and this increase in output is augmented with investment.
So investment is getting higher, if investment is getting higher then it is obvious that
firm would like to hire more labor right and labor when they are seeing that rate of
interest is going to be lower then it is better that they will be focusing more on the employment
side and here we have a both having interaction, so this is where we are seeing that here we
have ns.
Now when I am having the rate of rate of interest scenarios linked with the labor supply, so
the wage rate is going up, the employment is increasing, so from the business cycle
perspective what typically happens is that price stickiness that we have it remains same,
the increase in money supply leads to lower rate of interest, increases output, increases
employment and this also increases the wage rate right.
So if you have a, so if you have the interest target of the central bank moving more in
this favor then this automatically short out the issue of employment, it also short out
the issue of investment, it also short out the issue of output gap.
So output gap that we normally calculate, so let us spend some time on the output gap
that what we how we are dealing with.
So if you are having, suppose you have the GDP series, so here you have the GDP series,
in GDP series you have two components, one it is called the trend, so you will have the
suppose India GDP is 1,40,000 crores, so if India GDP is 1,40,000 crores then here you
have this much output right.
If this output if I am having, if I have to calculate the output gap how I am calculating
any data series will have two components, trend and cycle.
Now if you are, if you want to calculate the output gap then you can simply subtract the
from the actual GDP, you can simply subtract the trend, whatever value that you are going
to get that cyclical value that we have that we call it in practical sense that value we
use it for output gap, we substitute for output gap.
So in most of the situations what we have is that when you have the output gap playing
very important role, then when we have the negative it means that your trend component
which was supposed to increase, it is lower than the or it is higher than the actual.
So here the trend is higher than the actual then it is negative right, when you have a
positive which means the actual output is higher than the trend right, so there you
have the positive output gap.
If you plot this then you will see the cyclical trend that where the output was fluctuating.
So in macroeconomics if you want to do any kind of project or any kind of assignment
then these variables are very useful to calculate.
So you can see the impact of the output gap on interest rate, on exchange rate and how
the exchange rate reacts with the output gap.
So this basically shows the demand scenario that how much you have and it also it is linked
with the capacity in the economy, so supply also reflect that how much you can produce
and how much it is actually demanded, so that is what you have.
So your actual output how much you can produce and the equilibrium output, so this is how
it is dealing here.
So I hope this particular understanding has made us understand the model in a much better
way.
So a decrease in central bank interest rate, now what it says the non-neutrality of money
that we are talking about.
So non-neutrality of money in the new Keynesian setup what it says, it says about a reduction
in the central bank's interest rate target supported by an increase in money supply acts
to increase aggregate output employment, this is what.
Aggregate output is increasing, aggregate output increasing, employment is increasing,
employment is increasing, wage rate is going up, so this is what I try to mention here.
The demand for output rises at a fixed price of goods and firms accommodate increase in
demand by hiring more labor, this is what we have.
So here if you have a demand for output, so once we have the demand for output how it
will be coming, when the rate of interest is lower it becomes more attractive to buy
more goods and services, so there we have consumption, investment, real wage all increase.
So if you have such type of scenario your investment is going to be higher and consumption
will also be higher, so this is where we are talking about.
Private markets cannot work efficiently on their own, prices do not move quickly enough
to clear all markets, so this is the short run scenario.
Financial and monetary policy decisions can be made quickly enough, policy actions work
quickly which means that it can be thinking about, so if you want to understand the efficiency
part you can bring in, so this is what we have tried to understand, this also mentions
about the efficiency part.
What happens when we have the rate of interest decrease which means that money supply is
increasing, so this brings efficiency to the system because most of the macro variables
are increasing and if most of the macro variables are increasing then this is going to have
positive impact on some of the, positive impact on the aggregate economic output and
once you have aggregate economic output increasing, so your overall economy will go up, so that
is the underlying idea we have here, so here we are trying to say.
I will be covering the next part from here and then we can, we will have discussion on
non-neutrality of money further and we can think about how we can make this particular
the new Keynesian understanding better.
I hope with this particular background you are at least aware about what is the meaning
of stickiness, how stickiness plays a very important role and later sections we will
have the more formal introduction of stickiness with certain monetary policy rules, stabilization
rules of fiscal policy and even the taxation rules, those rules are important to understand
especially from the macroeconomic dimension perspective.
I am stopping it here and thank you, thank you so much.
