Advertisement
Ad slot
Lecture 11: The IS-LM-PC Model 49:27

Lecture 11: The IS-LM-PC Model

MIT OpenCourseWare · May 11, 2026
Open on YouTube
Transcript ~8411 words · 49:27
0:16
today we're going to talk about um
0:19
perhaps the most important model in this
0:21
class the ISL MPC model which puts
0:24
together all that we have done up to now
0:26
but before we do that uh let's talk a
0:30
little bit about the current
0:32
events uh who knows what that
0:37
is is this a exam week or
Advertisement
Ad slot
0:42
what Silicon Valley Bank exactly no so
0:46
Silicon Valley Bank the 16th Bank in
0:49
size asset size in the US ER went
0:54
essentially under last Friday was shut
0:57
down by the FD last last
1:01
Friday so that's the decline in in the
1:04
stock value uh during Thursday Friday
1:09
and uh and then it was shut down and you
1:11
see that it's not being traded anymore
1:14
um so that's a pretty significant event
Advertisement
Ad slot
1:17
and the the weekend was pretty stressful
1:19
for anyone involved in in in this event
1:23
the treasury the FDIC the Federal
1:27
Reserve and so on um
1:30
it's first it was a large I mean it's
1:32
not one of the big systemic Banks if you
1:34
will it's not JP Morgan City Bank of
1:38
America one of those Banks which are
1:41
regulated even differently from these
1:42
Banks but still is a pretty large Bank
1:45
you see by asset size $29
1:48
billion H which is you know comparable
1:51
to Washington Mutual which was the
1:53
largest bank that went under during the
1:55
global financial crisis Great Recession
1:57
at that time there were lots of other
1:59
banks that went under H but the largest
2:03
was comparable to this one and in fact
2:05
all the things that were done over the
2:06
weekend and that still being done today
2:08
is to prevent something like this
2:10
happening here as well okay and so it
2:14
was
2:15
a a pretty significant event now what
2:18
happened to Silicon Valley
2:21
Bank um well in the the immediate cause
2:25
of of of of the failure is what always
2:28
kills a bank which is a r
2:30
by this depositors okay and what you see
2:33
here is is the following this is this
2:35
this Bank actually grew enormously over
2:38
the last two three years essentially
2:39
doubl its asset size
2:43
um but it began to have sort of outflow
2:46
net outflows of
2:48
deposits during 2022 and the reason for
2:51
that is not because the business was
2:54
doing poorly anything it was simply
2:57
because this is a bank that service
2:59
primarily of the high the tech sector
3:02
startups companies and things like that
3:04
and those sectors were having hard time
3:06
raising new capital in an environment
3:09
that was not very friendly towards the
3:11
tech sector so so so they began to
3:14
withdraw on their deposits and and
3:16
that's what led to these flows here now
3:21
eventually
3:23
ER because of this and and something
3:26
I'll explain in a few minutes ER
3:29
this the they decided svb Bank decided
3:32
to issue new Equity ER issue new
3:37
Equity to cover certain losses they had
3:40
incurrent and today in the mod of social
3:42
in the world of social media that
3:45
immediately led to sort of massive
3:46
spread that this bank was in trouble and
3:49
then you saw enormous attempts to
3:51
withdraw deposits now not all of these
3:53
these were fulfilled but there was a
3:55
massive pressure to withdraw deposits
3:58
and and and and that's the end always
4:01
for a bank that doesn't find an
4:02
alternative source of funding and often
4:05
for withdrawals of that size the only
4:07
alternative source of funding is either
4:09
that some other bank buys you or that
4:12
the FED comes in and gives you a
4:16
line anyway so what is the that was
4:19
immediate and it's always whenever you
4:21
ask you hear about the bank run the
4:24
immediate cost of the problem is a run
4:26
from of the depositors from deposits in
4:29
that that bank now why did this happen
4:33
in this in this particular bank again I
4:36
explain why is that you saw those small
4:39
withdrawals of deposits but but what
4:42
happens to this to them is actually
4:44
there as I said before their deposits
4:47
grew very rapidly over the last two
4:49
three years and then rather than being
4:52
very risky lenders rather than investing
4:55
you know sometimes when Banks grow very
4:57
rapidly they do lots of crazy things you
4:59
know they in they make lots of loans
5:01
without going doing the D diligent
5:04
process and all that that's not what
5:06
they did they bought treasury bonds the
5:09
safest as as you can imagine they bought
5:11
10 year treasury bonds lots of them but
5:14
they bought them at the wrong time they
5:16
bought them right before the hike in
5:18
interest rates that we began to see in
5:21
2022 and we already looked at the
5:24
relation between interest rates and
5:25
price of bonds well you have a 10-year
5:28
bond and the interest starts going up
5:30
the price of that Bond starts
5:32
declining now that is not is problematic
5:35
for a bank but not entirely the end of
5:38
the story because that means that the
5:40
the the market value of the bonds you're
5:42
holding among your assets starts
5:44
declining but Banks do not need to
5:47
recognize that
5:48
loss unless they sell the
5:51
bonds because the the the logic is that
5:54
well if the guy just sits on the bond
5:56
the bond hasn't really lost any value in
5:57
the sense that it will get the same
5:59
coupons that he was planning to get and
6:00
so on this is us treasuries us
6:02
treasuries are not going to default in
6:03
the coupons let's hope it's not going to
6:05
happen in a few months from now but but
6:08
typically they don't default on coupons
6:10
so so the logic the regul regulation is
6:14
assigned in such a way perhaps is a
6:15
failure I think there is a problem there
6:17
but that they don't need to
6:20
recognize the losses unless they sell
6:22
the bonds so they look pretty healthy
6:25
because they had massive amount of
6:27
Treasury bonds they did not need to
6:28
recognize that
6:30
problem is that when this small W
6:34
relatively small withdrawals start at
6:36
some point they needed to find a
6:39
substitute for those funds they need to
6:40
honor the deposits that that were being
6:43
withdrawn and at that point they had to
6:45
sell assets and when they sold assets
6:48
they made the loss because at that point
6:49
you have to recognize the loss because
6:51
you're not going to hold the the bond
6:53
until expiration and clip all the
6:55
coupons that come from it so you have to
6:57
recognize the loss that's a loss
7:00
that led the CEO to announce that they
7:03
needed a fundraising to cover a $2.5
7:06
billion hold they had as a result of the
7:08
losses okay now okay so now we have a we
7:14
know why where the losses came from now
7:16
if you notice the losses are not that
7:18
big I mean this is a bank with $200
7:19
billion and and the losses were
7:22
relatively small where is the other leg
7:25
of the problem it's
7:28
here you know in in the US deposits are
7:32
ured up to
7:33
$250,000 that means no matter what
7:35
happens to the bank where you have the
7:37
money if that bank goes under and you
7:41
have deposits for below $250,000 the
7:43
FDIC comes and gives you a check okay so
7:45
there's no risk so if you have deposit
7:48
under $250,000 you don't need to worry
7:51
about this you may go you don't need to
7:53
read the news about this bank
7:55
because you will get your funds in fact
7:57
when when the bank was shut down on
8:00
Friday the FDIC announc immediately
8:03
every depositor under $250,000 can come
8:05
on Monday and get his money okay so
8:08
there's no issue there and most banks
8:10
have a large share of depositors that
8:12
are small depositor that means they are
8:14
covered by this Deposit Insurance
8:17
mechanism which was designed precisely
8:20
to prevent runs because if you don't
8:21
need to worry about where you get your
8:23
money know you don't need to run on the
8:25
bank the problem is that this bank was
8:28
very different in the composition of
8:29
depositors he had primarily business
8:33
deposits meaning it was all these
8:35
startup companies and so on in the tech
8:36
sector they had their their deposits
8:38
there and those deposits were much
8:40
larger than
8:41
$250,000 if you
8:43
see it's about I think it's close to 95%
8:47
of the deposits were not covered by the
8:49
insurance by the fdac insurance okay
8:52
that means it's a very different
8:54
calculation when you have a deposit
8:56
that's not covered by insurance and then
8:58
you start feeling that the bank Mak may
8:59
go under what do you do you take your
9:02
money out you know put it some you send
9:05
it to JP Morgan where there's no risk
9:07
and wait until this thing is
9:10
resolved now in this case and that's
9:12
what typically happens in this case it
9:14
happens even faster than normally why
9:17
because many of the depositors the
9:18
business that were deposited in there
9:20
were were a startups that were being
9:24
seeded by some Venture Capital
9:27
funds and Venture Capital funds as soon
9:29
as they noticed that there was a problem
9:31
here began to call all the startups and
9:33
tell him hey take that money out of
9:35
there because you know they may run into
9:37
travel so it was a venture capital world
9:40
that caused the Run
9:42
effectively and and and and and that's
9:45
what happened
9:46
okay now so that's that's what happened
9:49
that's the reason for the run and and
9:51
and
9:53
the and so there was a a problem the
9:55
problem was not that big but but the
9:57
problem is that the deposits were very
9:59
un safe they were not covered and moving
10:01
deposits out is very easy I mean you
10:03
just you know you just wire your money
10:05
to another bank so so so why wait there
10:09
why risk it and that's that's what
10:11
happened it's called in economics
10:14
coordination failure when I mean if
10:16
everyone freezes and say okay nobody
10:17
takes the money out and so on this stuff
10:19
is when I pass then we're safe but but
10:22
but since we don't call each other and
10:24
we don't trust each other to really
10:25
leave the money there we we we we make
10:27
the call only after we have taken our
10:29
money out and since we all think the
10:31
same way then you get a run on the bank
10:34
now let me start connecting this a
10:35
little bit with uh with the kind of
10:38
things we have done in in this course I
10:41
I I I may actually discuss runs later in
10:44
the course as a as a as a topic crisis
10:47
speculative attacks and things like that
10:48
but for
10:50
now here what you have is an indicator
10:53
of essentially is this is the vix a is a
10:57
is an indicator of Supply volatility
11:00
something is extracted from the price of
11:01
options you don't need to know the
11:03
details but the point is that that is
11:07
one of the main indicators of of fear of
11:09
of how afraid are investors in a moment
11:12
in the market and and uh and what you
11:15
can see here is that that this indicator
11:17
the vixs essentially
11:19
Spike
11:21
Thursday and and Thursday and Friday
11:24
went up Friday went up very very rapidly
11:27
and then it got stabilized a little
11:31
now ER it turned out that it turns out
11:34
that over the weekend ER H you may have
11:38
heard the government the Consolidated
11:41
Government came up with a very massive
11:43
package to to prevent runs on the
11:46
remaining Banks and and also to prevent
11:49
the fact that I mean all of these were
11:51
business deposits of a small companies
11:53
that used even this bank for the payroll
11:57
and so on so so what was done of this
11:59
weakness that all the deposit not only
12:01
the ones under
12:03
$250,000 were guarantee by the FDIC
12:06
there are mechanism under which you can
12:08
activate that so that means now all the
12:11
depositors were made
12:15
whole and but the idea was not it was
12:18
part partly the reason to do that it was
12:20
to prevent a mess in the pay roles of
12:23
the small companies and all that that
12:25
had their account in in in this bank but
12:28
it was also to prevent on other Banks
12:31
you know and uh and so on top of this
12:35
the FED now has a line of
12:38
credit ER for banks to not have to sell
12:42
their assets for small Banks they can
12:44
just pledge the assets to the central
12:46
bank and get an exchange for that the
12:48
cash they need okay and they can do that
12:52
without recognizing the implicit loss so
12:54
without marking to market the price of
12:56
the bonds okay so how this mechanism
12:59
existed before the pl of
13:03
svb we would not have seen anything like
13:05
that but the whole idea was to prevent
13:06
that other Banks run into into that kind
13:09
of trouble now the markets reacted well
13:11
to all that overnight and so on but the
13:14
vi kept going up this morning now it's
13:15
coming down again I mean there's still a
13:17
lot of stress and if you see the shares
13:19
of First Republic Bank for example had
13:21
declined by 60% today and things like
13:23
that so so there's a still Panic going
13:26
on okay and as a result of that ER all
13:30
these indicators of stress sort of are
13:32
very stressed out remember credit
13:35
spreads I told you about that X that we
13:37
had Le several lectures ago the
13:39
probability of the fault of a bone the
13:41
perceived probability of the fault all
13:42
those things went up a lot I mean the
13:44
Riser the bonds the closer you are to
13:47
the financial system particular to small
13:49
Banks the larger those spreads have
13:51
become so X went up a
13:53
lot this picture that comes next I find
13:57
it very interesting from the point of
13:58
view of this
14:00
course what this is is the following
14:03
this is the market
14:06
expectation of the next hike by the
14:11
fed the FED next announcement on policy
14:14
rate happens on the 22nd March 22nd so
14:18
remember what has been happening is that
14:20
that that ER since the US has been
14:23
running sort of very hot with lots of
14:24
inflation interest rate were increased
14:26
very rapidly at clips of 50 basis points
14:29
a CLI that's very large changes in
14:31
policy rate for a country as large as
14:33
the US and and so we had this big 25
14:38
basis points increases and a few
14:40
meetings ago they decided to lower the
14:42
pace of the increases to 25 basis points
14:45
rather than 50 Bas points per meeting
14:46
okay so they said we're going to keep
14:48
raising interest rate but we're going to
14:50
go out to 25 basis points now it turns
14:53
out so this is 25 basis points the data
14:56
has becoming very hot remember we said
14:58
inflation looked to have Peak and now
14:59
it's beginning sort of to turn around
15:01
again it's beginning to rise so what has
15:03
been happening is that the market say
15:05
Okay 25% basis point is the most likely
15:09
next hike but you see the expectation of
15:12
that is it was sort of a steady around
15:14
30 basis points some people expected
15:16
some major players expected the FED to
15:19
hike by 50 basis points not 25 basis
15:21
points by early last week data came very
15:25
hot so there was indication that clearly
15:27
inflation was picking up again the labor
15:28
market Market was very strong and so on
15:30
so look what happened to the bets
15:32
immediately expected value went up this
15:34
is all traded it went up and and the
15:37
expectation was for the next meeting was
15:39
up north of of 40 basis points so
15:42
essentially most of the market thought
15:44
that the next hike would be 50 basis
15:47
points
15:49
okay but look what happened and then the
15:51
problems of this with this Bank began
15:54
and look how this pleted today is 15
15:58
basis point is expected value that means
16:00
very few people are expecting 50 basis
16:02
point A lot of people are thinking 25
16:04
still but about an equal size expecting
16:07
zero so a POS in the interest rate hike
16:11
by the FED okay and all that is a result
16:14
of the events of the last two three
16:17
days
16:18
Y what is there to learn from this I
16:21
guess in like the bigger structure or
16:24
who's at fault is it the people who got
16:27
really scared all these depositors that
16:29
got potentially scared or or fearmonger
16:31
in that capacity is it that the banks
16:34
don't necessarily have I mean I can't
16:36
feel like it's an unre there are many
16:37
good questions and and and you're going
16:39
to see a lot of that and politicians are
16:40
going to talk a lot about that in the
16:42
next few days and so on it's very clear
16:44
that there was some sort of regulatory
16:46
failure here the regulator it was pretty
16:49
obvious that I mean this this bank had
16:51
doubled the asset size in in in a year
16:53
that's already a red flag and and these
16:56
guys are regulated by the Fed so the the
16:58
s Francisco fed should have been worried
17:00
about this Bank ER there is issues
17:05
conventional issues of diversification I
17:07
mean it's pretty crazy to have all your
17:08
savings in One Bank especially if you're
17:11
not
17:12
insure there is issues there's
17:16
also remember after the global financial
17:18
crisis there's there was a bill designed
17:23
to legislation designed to strengthen
17:26
the balance sheet of the banks it made
17:27
them hold a lot more cas Capital they
17:30
are subject see if they're systemic they
17:31
are consider they're subject to stress
17:33
test where sort of regulators go in
17:35
there and check whether portfolios can
17:36
survive major micros shcks and so on H
17:40
and that's that's called The Dot Frank
17:42
Bill okay so that was done in
17:45
2018 that got partially undone and
17:48
partially andone precisely for these
17:50
type of Banks and these guys were
17:52
actually loving for that they said okay
17:54
why don't you because to be sort of
17:56
really stress test and so on by the
17:58
regular you have to be big enough to
18:00
really be able to live a a big mess and
18:03
and and and so what these guys and and
18:06
Banks like them did is they Lobby a lot
18:10
so they got the the the threshold of
18:13
asset that you need to have in order to
18:15
be stress stress tested and so on raise
18:18
dramatically so they were right below
18:21
the level that you need to be really
18:24
sort of monitored very very closely by
18:27
the regulator by the by the FED if
18:29
you're a systemic bank then the FED
18:31
regulates you these guys were lightly
18:33
regulated by the FED because they were
18:35
below that threshold so there regulatory
18:37
failures it's clear that the regulator
18:40
fail what it did
18:44
depositors didn't diversify enough ER
18:48
they didn't diversify enough the bank
18:50
itself didn't diversify enough the the
18:52
source of funding I mean what is very
18:54
special of this bank and that's what
18:55
gives us hope that this stuff is not
18:56
going to spread all around is that their
18:59
funding was very sort of you know was
19:01
all coming from the same sector large
19:04
saver large depositors and so on the
19:07
typical bank doesn't have that they have
19:08
a much broader source of funding which
19:10
is what you need because you know
19:12
otherwise so so there are lots of
19:13
lessons for Bankers for
19:16
Regulators ER for microeconomist as well
19:19
I mean to tell you the truth one of the
19:22
concerns with with the pace at which the
19:24
FED has been hik in interest rates is
19:26
that people were wondering well do we we
19:28
know whe something will break at some
19:30
point and there was a lot of concern
19:32
that something could break well
19:33
something broke now and this broke
19:36
entirely the part of the the loss comes
19:39
entirely from interest rate highs
19:41
essentially they got into a portfolio of
19:43
long that was very long rat when rates
19:45
began to rise so they they had losses
19:48
entirely from that and that's a risk I
19:51
mean when you do monetary policy is that
19:54
some people will be stretch out there
19:56
and and and if you sort of sometimes
19:58
miss one that is important that that's
20:00
very costly and I think was that's one
20:02
of the reasons they wanted to lower the
20:06
the interest R hikes from 50 basis
20:08
points to 25 basis points because they
20:11
knew that something could be fragile out
20:14
there and and and this was one of those
20:17
things so those are those are
20:20
lessons now I was about to connect with
20:23
the things we did in a few lectures ago
20:25
I said look so this is telling you the
20:28
markets when they saw this x going
20:31
up and started betting that the that the
20:34
FED will not hike interest rate as much
20:37
and in fact that they may even pause
20:38
rather than raise the interest rate as
20:40
was planned they may even pause interest
20:42
rates we talked about
20:45
this lecture
20:48
seven remember in lecture seven when we
20:51
talk about the expanded islm model we
20:56
had this x variable and we said look if
20:59
x goes up that measure of riskiness and
21:01
so on that increases the cost of
21:03
borrowing for the private sector that is
21:06
like a shift in the yes to the left for
21:08
any given safe interest rate saved by
21:11
the central bank now all of the sudden
21:13
the cost of borrowing for companies is
21:15
higher and therefore this is
21:18
contractionary okay and then we went on
21:22
remember we went on and said well here
21:24
it is the question what should the
21:26
Central Bank do in this case
21:29
in which X went
21:33
up that's was the next slide inide of
21:35
fact you know lower the interest rate
21:37
because there's one component of cost of
21:39
borrowing that's going up for for ER for
21:44
firms which is the X well the FED can
21:47
offset that by lowering the interest
21:49
rate now here they're not planning yet
21:51
to lower the interest rate they were
21:52
planning to raise interest and now
21:54
they're slowing down that that's a bet
21:56
so the market knows some basic and
21:58
expanded islm model because that's
22:01
that's what you know explains exactly
22:03
what you should anticipate that that's
22:05
what is likely to to
22:08
happen anyways that's where we are at
22:10
this
22:13
moment any questions about this
22:15
otherwise I'm going to move to the
22:17
lecture really but I thought we had to
22:19
talk about
22:22
it well in anyways if it gets a lot
22:25
Messier I'm hoping that it won but if it
22:27
gets a lot Messier then we can another
22:29
section at the end I can replace
22:31
something for for something on banking
22:33
crisis and something like that
22:38
okay which is what I teach in one of my
22:40
graduate courses so would be would be
22:45
fine anyway so now what I want to do is
22:48
start this islm PC model and sort of the
22:52
number the name is not very creative
22:53
it's pretty obvious what we're going to
22:55
do here no is going to combine the aslm
22:59
with with the Philips curve and what
23:02
this this will do for us is it will
23:04
allow us to think not only about the
23:07
impact of a policy or a shock but also
23:09
think about what happens over time with
23:11
that shock okay ER not to the long run
23:14
but we call this analysis sort of the
23:16
short run which is what happens in the
23:18
very few early weeks months and what
23:21
happens in the medium run say a year a
23:24
year and a half from now and so this
23:26
model will allow us to put all of the
23:30
together
23:32
um so and But but so so so you don't get
23:36
lost on this so the analysis of the
23:39
short run essentially will remain
23:40
unchanged it's is our islm mod it's just
23:44
that give it a little time and you start
23:47
seeing other certain effects get undone
23:50
and some others get exacerbated and so
23:51
on okay but but the short one is still
23:54
islm is your basic mod but then we're
23:56
going to see that things happen
23:59
over time so remember the slm model was
24:03
essentially this is equilibrium in the
24:05
Goods Market and then we had an LM which
24:07
said I equal to I bar no and so I'm
24:12
going to replace the LM already inside
24:14
this and I get my islm mod so for any
24:17
given I bar I could solve out for
24:20
equilibrium output
24:22
now here I'm going to do I'm going to
24:25
adopt the the the I didn't want to do it
24:27
before but I think at this point is
24:28
useful because of will simplify the
24:30
diagrams when we draw them to really
24:33
think of the FED as setting the real
24:35
interest rate okay so I'm going to
24:38
assume now and then I'm going to explain
24:40
what
24:41
happens when that's a bad assumption but
24:45
but I'm going to assume for now that
24:46
rather than the FED setting the nominal
24:48
interest rate that the FED is set in the
24:50
real interest rate okay so it's setting
24:54
this and then we're going to talk about
24:57
problems I mean in
24:59
principle if the interest rate is not
25:01
against the zero lower
25:03
bound the FED can always do that say
25:06
okay I'm going to give them them I'm
25:07
going to give you the nominal interest
25:09
rate that given this expected inflation
25:10
gives me the real interest rate I want
25:12
okay that's what the FED is really
25:14
trying to do all the time the FED is not
25:16
trying to figure out what is the
25:18
equilibrium nominal interest rate he's
25:19
always trying to figure out whether the
25:21
real interest rate is at the right level
25:23
or not for the economy now the tool they
25:26
have is a nominal interest rate but they
25:27
are thinking thinking always about the
25:29
real interest rate and and and and
25:32
sometimes there's a problem because it's
25:35
a when you against a zero lower bound
25:37
then you can't affect the real interest
25:38
in the same way but but most of the time
25:41
you can and so I'm going to think I'm
25:43
going to rewrite the slm mo now but I'm
25:46
going to call this our bar and the bar
25:49
is there just to tell you remind you
25:50
that there something that the FED is
25:52
setting
25:54
okay so that's our aslm remember the
25:57
Philips curve part
25:59
the Philips that was our Philips curve
26:01
remember the last once we replace the
26:03
natural rate of unemployment in there we
26:05
had the inflation minus expected
26:07
inflation was a decreasing function of
26:09
the unemployment Gap okay so if
26:11
unemployment was above the natural rate
26:12
of unemployment inflation was lower than
26:15
expected inflation and conversely if the
26:18
unemployment rate was lower than the
26:19
unemployment rate and I said one the
26:21
situation of the US today is that
26:23
everything seems to point towards toward
26:27
a situation where U is below un that's
26:29
the reason we're seeing sort of high
26:31
inflation okay now what I'm going to do
26:34
next is I'm going to go from an
26:35
employment to Output so I can put you
26:37
see I don't have an employment anywhere
26:40
here I have output so what I want to do
26:43
is play with the Philips curve and until
26:46
I write it in the space of inflation and
26:48
output not inflation and unemployment so
26:50
I can put the two curves together that's
26:52
what I want to remember I want to merge
26:55
here the slm with the PC so I want to
26:57
put them in the the same
26:59
variable so remember we have operated
27:03
with a very simple production function
27:04
in which output is equal to employment
27:07
remember that's what we assume
27:09
employment we call it n well I can
27:12
rewrite n employment as the labor force
27:15
times one minus the unemployment rate
27:18
that's employment okay so that's I can
27:21
think of output as that similar I can
27:24
define a what we call we don't call it
27:27
natur output we call it potential
27:30
output no and potential output is
27:32
defined as as the output that you get
27:36
when unemployment is at the natural rate
27:38
of unemployment okay so that's a
27:40
definition three lines the potential
27:43
output is when
27:46
when the output you get which in this
27:49
with this production function is the
27:51
employment you get when you're at the
27:53
unemployment at the natural rate of
27:55
unemployment and now I can construct the
27:57
difference the minus that this is
28:00
something we call the output Gap and you
28:02
may
28:03
hear typically when people talk
28:07
about issues of monetary
28:11
policy often is described in terms of
28:13
this variable More Than This Gap say
28:16
people talk about the output Gap if the
28:17
output Gap is positive that means output
28:20
is above the natural rate of out the
28:22
potential output when the output Gap is
28:24
negative output is below potential
28:26
output so I can re write this you know
28:29
this minus that is just that and now I
28:32
can I can replace uus un n here for H
28:37
minus Yus YN / L and I get the Philips
28:41
curve now written in terms of the output
28:43
Gap and inflation so this says when
28:46
output is above potential output when
28:48
the output Gap is positive then
28:50
inflation exceed expected inflation
28:53
conversely when output is below
28:55
potential output then inflation is below
28:58
expected inflation okay but the logic is
29:01
exactly the same as the logic we had
29:02
here why is that this happens well
29:05
because when output is above the
29:07
potential output that means also
29:09
unemployment is lower than the natural
29:10
rate of unemployment okay so that's a
29:14
that's the logic any question about
29:17
this
29:19
no okay good so anyway so now we have a
29:23
a Philips curve and our aslm model so so
29:28
let's put them together and suppose for
29:31
now and when last example when I carry
29:33
around is that expected inflation is
29:35
equal to lag inflation so this a case in
29:38
which expected inflation is not well
29:39
anchor and then we're want to talk about
29:41
what happens when it's anchor and not
29:42
anchor so suppose that that inflation is
29:45
actually whatever is this year's
29:47
inflation that's what you expect for
29:49
next year okay so here I have an example
29:52
in which here I'm plotting our islm now
29:55
which I'm using remember the real
29:57
interest right here here H and in this
30:00
diagram down here I'm plotting the
30:02
Philips
30:04
curve okay so first thing let's look
30:08
about this Philip SC why is that where
30:10
sloping here is output so this this is a
30:13
parameter Pi n so and and and this is
30:16
the left hand side variable so it's
30:17
obviously increasing in output why is
30:19
that well because if output grows that
30:22
means unemployment goes down that means
30:24
wages go up prices go up and you get
30:28
inflation that's a mechanism okay so in
30:32
this particular
30:33
example we have this is the real
30:36
interest rate that the FED has set at
30:38
this moment that's equilibrium output
30:40
what I'm trying to tell you here is that
30:43
nothing has change in the way you
30:45
calculate equilibrium output you just
30:46
use for that you only need the stop
30:49
diagram in the short
30:50
run I tell you what the real interest
30:52
rate is set by the is which is a
30:56
decision by the Fed
30:58
then I know where my is is I can pin
31:01
down output I don't need this diagram to
31:04
really pin down equilibrium output
31:07
okay nothing is different there
31:11
but and this is an example in this
31:14
particular case we have that inflation
31:17
is rising
31:19
here and the question is why so for this
31:22
what I'm trying to say is that for this
31:25
is which is a function of fiscal policy
31:27
of how confident consumers are and stuff
31:30
like that if the FED chooses this real
31:33
interest rate we end up with this output
31:35
but it turns out that this level of
31:36
output is increasing
31:40
inflation and the increase in inflation
31:42
I can read here I see the change in
31:44
inflation is positive here why is this
31:47
happening um if you're changing the
31:49
alpha that means you have a different
31:51
level ofemployment which changes the um
31:54
expected inflation R yeah well actually
31:57
here I don't need to take take this
32:00
diagram would have also work with
32:01
expected inflation as a constant here
32:04
I'm I'm more looking at what happens to
32:06
inflation I'm saying if output is above
32:09
the natural rate of output then
32:10
inflation is above expected inflation
32:12
but I can take expected inflation as a
32:13
constant in fact here it is a constant
32:15
because constant in the sense that is
32:18
given at time T because it's a previous
32:19
year's inflation but what is important
32:22
is that you have too much aggregate
32:23
demand this economy is running very hot
32:26
if output is positive then that is going
32:31
to lead to inflationary pressures in
32:33
this particular model where expected
32:34
inflation is equal to l inflation this
32:36
is pretty bad because not only you get
32:37
inflation above the target of the FED
32:39
but inflation is rising over
32:42
time so this is a case in which this
32:45
Central Bank is setting the real
32:47
interest rate too
32:49
low okay now you may want Japan is doing
32:52
a little bit of this but they have a
32:54
reason is that they have had inflation
32:56
so low that it makes sense for them to
32:58
build a little a little
33:00
inflation in the US it made less sense
33:02
remember the US got into trouble because
33:04
it was in a situation like this for a
33:05
long period of time I mean the you the
33:07
reason we have today 6% inflation well
33:10
depends which indicator you use is
33:12
because the US experience sort of a year
33:16
with a situation like this a year and a
33:19
half okay and that's what sometimes
33:21
people said the Fed was behind the curve
33:23
they they for for a variety of reasons
33:25
one initially potential output the Cline
33:28
because of all the covid related issues
33:30
they expected that to recover quickly so
33:32
they says well let it go because I'm not
33:34
going to start moving my policy right
33:35
around for something that will recover
33:37
quickly as soon as Co is gone well it
33:39
took longer to recover and then it came
33:41
the sort of the Russian war shock and so
33:43
on and so natural rate of unemployment
33:46
moved to the left to start and second
33:50
because of an enormous policy support
33:52
primarily H and the fact that that
33:55
houses were able to save a lot during
33:58
it there was a lot of pent up demand
34:01
then we had enormous aggregate demand
34:03
when we came out of it and the real
34:05
interestate that we had was just way too
34:07
low for all that agregate demand and
34:09
that
34:10
low potential output so we were in a
34:13
situation like this and inflation began
34:14
to
34:15
climb initially expected inflation was
34:19
very well anchor and then we began to
34:20
lose the anchor then we recover it and
34:22
and now we're losing it again we shall
34:24
see what happens after this current
34:25
episode but that was exactly a situation
34:27
of the US and of most economies around
34:29
the world China is in a different story
34:32
but in most economies around the world
34:34
you certainly Europe all of them the UK
34:38
Continental Europe and the UK Latin
34:40
America when you look the situation was
34:43
like that just real interest were way
34:44
too low for a um um the natural rate the
34:50
potential the level of the potential
34:52
output we had at that time and so we got
34:54
into situation like this
34:57
okay so that's the short run in the
34:59
short run if you have an interest rate
35:01
that is very low I mean again in the
35:03
short run you you know how to determine
35:04
output given a real interest rate and
35:06
then now you can say a little more say
35:08
okay but that's going to put inflation
35:10
it's going to cause inflationary
35:11
pressures up or down depending on
35:13
whether you are to the right or to the
35:14
left of the natural rate of output
35:16
that's a new twist about the short run
35:18
that you know but now let's start moving
35:21
over time so what happens over
35:23
time well first let me Define something
35:26
well potential output we know what it is
35:30
but I'm going to define something which
35:31
is called the natural rate of interest
35:34
rate sometimes called the neutral
35:36
interest rate sometimes called the
35:37
weelian interest rate let me not get
35:39
into that story but I'm going to Define
35:42
implicitly the natural rate of interest
35:45
rate or the neutral rate of interest or
35:48
some people call it rst star you may
35:49
have heard of RS star in the newspapers
35:52
people talk about R star when they are
35:54
talking about RAR they're talking about
35:55
that okay is simply the interest rate
35:58
that that makes the natur the potential
36:01
output the equilibrium of the Goods
36:03
Market okay so I'm solving implicitly I
36:05
say I want to get as a result as an I
36:08
want to get as a result of this
36:10
equilibrium here H the natural rate of
36:13
output what is the interest I need to
36:15
pick so that's the
36:17
case okay so I want to get the natural
36:20
rate of output here the potential output
36:22
I know that there is an interest rate
36:24
real interest rate at which that holds
36:27
no it's a matter looking for the
36:28
interest rate that does that and in this
36:30
particular diagram is this you see at
36:33
this interest
36:34
rate the ASI equilibrium output is
36:38
exactly the natural rate of
36:40
output okay so what I know is that
36:45
eventually the economy will have to go
36:49
there no eventually the economy will
36:52
have to go there so how will this happen
36:55
in practice the way we happen is okay
36:59
this is the point we were at in the
37:01
previous slide
37:03
no so we were
37:06
here well that's building in
37:08
inflationary
37:10
pressure what do you think will happen
37:13
inflation start
37:17
climbing who will react who is in charge
37:21
not letting inflation get get carried
37:25
away Central Bank know the Fed so what
37:28
they'll start doing is hiking interest
37:29
rate which is exactly what they have
37:30
been doing no and as they hike interest
37:33
rate you know they're going to
37:35
keep they take they start increasing the
37:37
real interest rate interest until they
37:39
get to this point okay that's
37:42
idea so the point is that in the medium
37:47
run a a the real interest real variables
37:51
determine real variables not monetary
37:53
policy monetary policy has to follow
37:55
whatever it is that the economy throws
37:56
at them banks have to follow whatever is
37:59
the real interest rate if they made a
38:00
mistake and they set an real interest
38:02
rate which is not consistent with a
38:04
stable inflation they're going to learn
38:06
about it and over time they're going to
38:08
have to fix that and when will the
38:10
problem go away only when H they they
38:14
reach the natural rate of unemployment
38:16
okay and so that's what will happen as
38:19
the real interest start going up from
38:21
here to there then you start seeing the
38:24
change in inflation this particular mole
38:27
ER um declining and declining and when
38:29
you get to an natural rate of output at
38:31
least you get a stable
38:36
inflation is this adjustment
38:39
clear okay good okay so that's what
38:42
happened in the medium run so the medium
38:45
run is described as moving from that
38:47
point here the whole process of going
38:49
back to a situation where we converge to
38:52
the Natural rate of interest rate and
38:55
therefore the natural rate of output and
38:57
the natural rate of unemployment and all
38:59
these kind of things okay so that's the
39:01
short run is whatever his output is
39:03
That's So slm the medium run is whatever
39:07
the the natural rate tells you should be
39:10
the natural rate of unemployment the
39:11
natural rate of output and therefore the
39:13
natural rate of interest rate or weelian
39:15
interest rate or the neutral interest
39:16
rate or our star that's all pinned down
39:19
there in the in the in the medium run
39:21
and the transition is obviously going
39:23
from the short run like pure LS slm to
39:26
the Natural rate
39:27
type analysis
39:30
okay now I assume here and that's
39:33
related to your answer I assume here
39:36
that expected inflation was an anchor
39:40
that is that expected inflation was
39:42
equal to l inflation that's I I told you
39:45
before that's not what Central One banks
39:48
want to be because that means that if
39:51
you mess up inflation is high and and
39:55
then in order to bring it down you also
39:57
have to bring down expected inflation
39:58
you need to cause a recession and you
40:00
can see that here so suppose that the
40:02
Central Bank starts with the level of
40:04
inflation that it like suppose that this
40:06
is the model so what I said before the
40:08
expected inflation is equal to lag
40:09
inflation suppose that the Central Bank
40:12
starts at the level of inflation that it
40:14
likes 2% in the US okay I suppose that
40:18
for whatever reason whatever shock it
40:21
finds itself with an interest rate that
40:23
is too low a real interest rate is too
40:25
low that means in inflation exceeds
40:29
expected inflation which was
40:32
2% well by next year say this suppos
40:35
this Gap is 2% well by next year the G
40:38
inflation is
40:40
4% okay so if your inflation is 4% in
40:45
fact in the US it got to be 9% if you
40:48
are at 9% level of inflation and this is
40:50
the model of expected for expected
40:52
inflation you have then Houston you have
40:55
a problem because it's not enough with
40:57
raising interest rate up to this point
40:59
suppose that the FED says wow I don't
41:01
like 9% I'm going to go back to that
41:04
that clearly tells me that my output is
41:06
way above the natural rate of output I'm
41:08
going to hike interest rate and somebody
41:09
tells the fed this is your natural
41:11
interest rate a very good research
41:14
Department tells him look this is your
41:15
natural interest hike it to there
41:17
suppose the FED hikes the interest rate
41:18
to that point what
41:20
happens so the FED realized here this
41:22
was going really wrong they end up with
41:25
9% inflation so but somebody tells him
41:28
look this is your natural your neutral
41:30
interest rate your R star bring it there
41:32
and the FED immediately reacts and takes
41:35
it there what
41:37
happened is the Fed happy with the final
41:40
outcome and supposed the res Department
41:41
was really good so they got got it right
41:44
so the r star was the right R
41:48
star okay and the FED implemented that
41:51
policy move interest rate suppose that
41:53
the interest rate the real interest rate
41:54
they had was minus 1% I'm telling you
41:56
numbers that are not that different from
41:58
what we had minus 1% and and and the
42:02
research Department tells no your your
42:04
RN is really 1% so they hike interest
42:06
rate by 2%
42:08
immediately and now what
42:19
happens
42:21
so I guess that question is a little
42:23
bague but but I'm saying is the Central
42:25
Bank happy now that it o I got we got
42:28
the right natural rate neutral rate it's
42:31
called neutral
42:33
rate well I'm telling you I wouldn't be
42:36
asking you if the Fed was happy after
42:37
that so why do you think why why are
42:39
they unhappy why is the Fed unhappy
42:42
after that not unhappy with the policy
42:45
but but but when I'm saying the
42:47
adjustment is not completed at that
42:49
point
42:56
why and I'm trying to make the bigger
42:58
point for why central banks are so eager
43:01
to maintain credibility and not have
43:02
this kind of model of expected inflation
43:04
they want the markets to believe them
43:06
that that they have a Target and that
43:08
they're going to go to that Target and
43:10
and that to set their expected inflation
43:12
equal to that constant equal to a Target
43:14
that's what they dream with because if
43:16
they don't get that if they get this
43:18
instead things are
43:20
nasty and I'm trying to describe that
43:22
Nas what what what is happening now so
43:26
what happens here okay so so so we went
43:27
here inflation got to be 9% and now the
43:31
FED boom hike interest rate
43:33
by 200 basis point it got to the Natural
43:36
rate we're back at output equal to
43:38
Natural rate of output what is happening
43:39
to inflation
43:43
here so now we're back at the natural
43:46
what is happening to
43:48
inflation well this diagram tells you
43:51
something very specific it says it's not
43:53
changing so now your inflation at least
43:55
is not changing
43:58
okay so that's
44:00
good at least not Rising here it was
44:03
Rising it's not changing but what is the
44:07
problem inflation not changing when
44:10
you're at 9% is not a good outcome for
44:12
the FED want 2% not
44:15
9% okay so they when you have this
44:18
modification you need to do more than
44:20
that you know because you need to bring
44:22
expected inflation down so you need to
44:24
overshoot a Fed that finds itself with
44:26
9% inflation and has expected inflation
44:29
and anchor needs to be inflation much
44:32
lower so needs to raise interest in the
44:34
short run much higher than the natural
44:35
rate of interest rate so it gets
44:37
negative inflation here so you can bring
44:39
the 9% back to
44:41
2% no so I have to generate a minus 7%
44:45
here and to generate a minus 7% here I
44:48
need to bring output much below the
44:51
natural rate of output I need to cause a
44:52
big recession to do that and that's the
44:55
reason the bank central banks don't want
44:57
to be in this scenario because with this
45:00
of inflation if expected inflation
45:03
becomes an anchor then there's no way
45:05
around that the FED will have to cause a
45:06
big recession to get out of inflationary
45:09
problem
45:11
okay contrast that with a case in which
45:14
the market the expected inflation is not
45:15
equal to lag inflation but is equal to
45:17
whatever the FED tells them is the long
45:19
run average 2% so now suppose that
45:23
therefore rather than having here Pi
45:25
minus one I have that Target Pi Bar
45:28
which is 2% so yeah we got to 9% but for
45:33
the FED to go back to say the FED would
45:36
say whoop I mess up you know clearly set
45:39
a real interest that was way too low and
45:41
so I end up with 9% inflation but if
45:43
credibility is maintained and still
45:45
people expect 2% in the medium run then
45:48
that means that the FED doesn't need to
45:49
cause a recession to bring inflation
45:51
back to the normal level it just needs
45:54
to bring output to a level equal to
45:57
potential out so it just need to raise
46:00
interest to RN to the Natural rate of
46:03
the r star not to our Star Plus
46:06
something in order to have this
46:08
inflation in the short okay and we're
46:12
there at this moment in the verge of
46:13
these two worlds we have been
46:14
alternating between the two worlds still
46:18
more biased towards the good World in
46:20
which really the FED doesn't need to
46:22
cause a the need the FED needs to slow
46:25
down the economy because it still need
46:26
to bring out put down to YN but that's a
46:29
small change in practice all these
46:31
things are growing over time it just
46:33
means that the economy grows at a lower
46:35
pace for a few quarters okay but it's
46:39
very different to have to bring
46:40
temporarily output down here because for
46:42
that you need to sort of bring the
46:45
growth has to become
46:46
negative for some period of time in
46:48
order to bring inflation
46:52
down
46:54
good so
46:58
big lessons from uh this part is that as
47:01
I said before in the M run so so I
47:04
haven't changed at I haven't changed any
47:06
of the two models I told you what was
47:07
the model of the short run the slm
47:09
that's still true here I told you then
47:11
what was the model of the natural rate
47:13
of unemployment and all that and that
47:15
there we didn't have any monetary policy
47:16
or anything like that we we look at what
47:17
happened in the labor market and we
47:19
determin the natural rate of an
47:20
employment and that was it okay so so
47:25
the medium run here is when we are in
47:27
that world which has nothing to do with
47:29
monetary policy it has all to do with
47:32
real variables okay what is a n what is
47:34
a equilibrium long-ter real interest
47:36
rate what is a natural rate of
47:38
unemployment things of that
47:40
kind um but monetary policy what does do
47:45
is certainly determine in the short run
47:48
equilibrium output and but in the medium
47:50
run it's is determines what is the
47:52
nominal interest rate equilibrium
47:54
nominal interest rate and the level of
47:55
inflation because the economy will have
47:58
a real interest rate which is the rst
48:01
star and RN the economy has RN but the
48:05
fed and the FED will not get to pick
48:07
what RN is the only thing that the FED
48:10
will get to pick in the medium run is
48:12
what is a nominal interest rate that is
48:14
consistent with that RN because supposed
48:16
the RN is say
48:19
2% if the if the economy ends up having
48:22
3% inflation on average that means that
48:25
the nominal interest r rate for the long
48:27
run is going to have to be
48:29
5% is instead that economy has 2%
48:32
inflation average then that means that
48:33
the the long run nominal interest rate
48:35
will be 4% so monetary policy affects
48:38
the nominal interest rate nominal
48:40
variables in the M run but not the real
48:42
variables the real variables are
48:43
determined by the real sector and that's
48:45
often refer as the neutrality of money
48:47
in the medium run and the long run money
48:50
tends to be neutral and that's that's
48:52
what it means
48:54
that real variables are determined by
48:56
something entirely different but in the
48:58
short run monetary policy is the main
49:00
game game in town and in the medium run
49:03
it's just about inflation it's not about
49:06
real
49:08
activity
49:11
um Let me let me stop here
— end of transcript —
Advertisement
Ad slot

More from MIT OpenCourseWare

Trending Transcripts

Disclaimer: This site is not affiliated with, endorsed by, or sponsored by YouTube or Google LLC. All trademarks belong to their respective owners. Transcripts are sourced from publicly available captions on YouTube and remain the property of their original creators.