[00:16] today we're going to talk about um [00:19] perhaps the most important model in this [00:21] class the ISL MPC model which puts [00:24] together all that we have done up to now [00:26] but before we do that uh let's talk a [00:30] little bit about the current [00:32] events uh who knows what that [00:37] is is this a exam week or [00:42] what Silicon Valley Bank exactly no so [00:46] Silicon Valley Bank the 16th Bank in [00:49] size asset size in the US ER went [00:54] essentially under last Friday was shut [00:57] down by the FD last last [01:01] Friday so that's the decline in in the [01:04] stock value uh during Thursday Friday [01:09] and uh and then it was shut down and you [01:11] see that it's not being traded anymore [01:14] um so that's a pretty significant event [01:17] and the the weekend was pretty stressful [01:19] for anyone involved in in in this event [01:23] the treasury the FDIC the Federal [01:27] Reserve and so on um [01:30] it's first it was a large I mean it's [01:32] not one of the big systemic Banks if you [01:34] will it's not JP Morgan City Bank of [01:38] America one of those Banks which are [01:41] regulated even differently from these [01:42] Banks but still is a pretty large Bank [01:45] you see by asset size $29 [01:48] billion H which is you know comparable [01:51] to Washington Mutual which was the [01:53] largest bank that went under during the [01:55] global financial crisis Great Recession [01:57] at that time there were lots of other [01:59] banks that went under H but the largest [02:03] was comparable to this one and in fact [02:05] all the things that were done over the [02:06] weekend and that still being done today [02:08] is to prevent something like this [02:10] happening here as well okay and so it [02:14] was [02:15] a a pretty significant event now what [02:18] happened to Silicon Valley [02:21] Bank um well in the the immediate cause [02:25] of of of of the failure is what always [02:28] kills a bank which is a r [02:30] by this depositors okay and what you see [02:33] here is is the following this is this [02:35] this Bank actually grew enormously over [02:38] the last two three years essentially [02:39] doubl its asset size [02:43] um but it began to have sort of outflow [02:46] net outflows of [02:48] deposits during 2022 and the reason for [02:51] that is not because the business was [02:54] doing poorly anything it was simply [02:57] because this is a bank that service [02:59] primarily of the high the tech sector [03:02] startups companies and things like that [03:04] and those sectors were having hard time [03:06] raising new capital in an environment [03:09] that was not very friendly towards the [03:11] tech sector so so so they began to [03:14] withdraw on their deposits and and [03:16] that's what led to these flows here now [03:21] eventually [03:23] ER because of this and and something [03:26] I'll explain in a few minutes ER [03:29] this the they decided svb Bank decided [03:32] to issue new Equity ER issue new [03:37] Equity to cover certain losses they had [03:40] incurrent and today in the mod of social [03:42] in the world of social media that [03:45] immediately led to sort of massive [03:46] spread that this bank was in trouble and [03:49] then you saw enormous attempts to [03:51] withdraw deposits now not all of these [03:53] these were fulfilled but there was a [03:55] massive pressure to withdraw deposits [03:58] and and and and that's the end always [04:01] for a bank that doesn't find an [04:02] alternative source of funding and often [04:05] for withdrawals of that size the only [04:07] alternative source of funding is either [04:09] that some other bank buys you or that [04:12] the FED comes in and gives you a [04:16] line anyway so what is the that was [04:19] immediate and it's always whenever you [04:21] ask you hear about the bank run the [04:24] immediate cost of the problem is a run [04:26] from of the depositors from deposits in [04:29] that that bank now why did this happen [04:33] in this in this particular bank again I [04:36] explain why is that you saw those small [04:39] withdrawals of deposits but but what [04:42] happens to this to them is actually [04:44] there as I said before their deposits [04:47] grew very rapidly over the last two [04:49] three years and then rather than being [04:52] very risky lenders rather than investing [04:55] you know sometimes when Banks grow very [04:57] rapidly they do lots of crazy things you [04:59] know they in they make lots of loans [05:01] without going doing the D diligent [05:04] process and all that that's not what [05:06] they did they bought treasury bonds the [05:09] safest as as you can imagine they bought [05:11] 10 year treasury bonds lots of them but [05:14] they bought them at the wrong time they [05:16] bought them right before the hike in [05:18] interest rates that we began to see in [05:21] 2022 and we already looked at the [05:24] relation between interest rates and [05:25] price of bonds well you have a 10-year [05:28] bond and the interest starts going up [05:30] the price of that Bond starts [05:32] declining now that is not is problematic [05:35] for a bank but not entirely the end of [05:38] the story because that means that the [05:40] the the market value of the bonds you're [05:42] holding among your assets starts [05:44] declining but Banks do not need to [05:47] recognize that [05:48] loss unless they sell the [05:51] bonds because the the the logic is that [05:54] well if the guy just sits on the bond [05:56] the bond hasn't really lost any value in [05:57] the sense that it will get the same [05:59] coupons that he was planning to get and [06:00] so on this is us treasuries us [06:02] treasuries are not going to default in [06:03] the coupons let's hope it's not going to [06:05] happen in a few months from now but but [06:08] typically they don't default on coupons [06:10] so so the logic the regul regulation is [06:14] assigned in such a way perhaps is a [06:15] failure I think there is a problem there [06:17] but that they don't need to [06:20] recognize the losses unless they sell [06:22] the bonds so they look pretty healthy [06:25] because they had massive amount of [06:27] Treasury bonds they did not need to [06:28] recognize that [06:30] problem is that when this small W [06:34] relatively small withdrawals start at [06:36] some point they needed to find a [06:39] substitute for those funds they need to [06:40] honor the deposits that that were being [06:43] withdrawn and at that point they had to [06:45] sell assets and when they sold assets [06:48] they made the loss because at that point [06:49] you have to recognize the loss because [06:51] you're not going to hold the the bond [06:53] until expiration and clip all the [06:55] coupons that come from it so you have to [06:57] recognize the loss that's a loss [07:00] that led the CEO to announce that they [07:03] needed a fundraising to cover a $2.5 [07:06] billion hold they had as a result of the [07:08] losses okay now okay so now we have a we [07:14] know why where the losses came from now [07:16] if you notice the losses are not that [07:18] big I mean this is a bank with $200 [07:19] billion and and the losses were [07:22] relatively small where is the other leg [07:25] of the problem it's [07:28] here you know in in the US deposits are [07:32] ured up to [07:33] $250,000 that means no matter what [07:35] happens to the bank where you have the [07:37] money if that bank goes under and you [07:41] have deposits for below $250,000 the [07:43] FDIC comes and gives you a check okay so [07:45] there's no risk so if you have deposit [07:48] under $250,000 you don't need to worry [07:51] about this you may go you don't need to [07:53] read the news about this bank [07:55] because you will get your funds in fact [07:57] when when the bank was shut down on [08:00] Friday the FDIC announc immediately [08:03] every depositor under $250,000 can come [08:05] on Monday and get his money okay so [08:08] there's no issue there and most banks [08:10] have a large share of depositors that [08:12] are small depositor that means they are [08:14] covered by this Deposit Insurance [08:17] mechanism which was designed precisely [08:20] to prevent runs because if you don't [08:21] need to worry about where you get your [08:23] money know you don't need to run on the [08:25] bank the problem is that this bank was [08:28] very different in the composition of [08:29] depositors he had primarily business [08:33] deposits meaning it was all these [08:35] startup companies and so on in the tech [08:36] sector they had their their deposits [08:38] there and those deposits were much [08:40] larger than [08:41] $250,000 if you [08:43] see it's about I think it's close to 95% [08:47] of the deposits were not covered by the [08:49] insurance by the fdac insurance okay [08:52] that means it's a very different [08:54] calculation when you have a deposit [08:56] that's not covered by insurance and then [08:58] you start feeling that the bank Mak may [08:59] go under what do you do you take your [09:02] money out you know put it some you send [09:05] it to JP Morgan where there's no risk [09:07] and wait until this thing is [09:10] resolved now in this case and that's [09:12] what typically happens in this case it [09:14] happens even faster than normally why [09:17] because many of the depositors the [09:18] business that were deposited in there [09:20] were were a startups that were being [09:24] seeded by some Venture Capital [09:27] funds and Venture Capital funds as soon [09:29] as they noticed that there was a problem [09:31] here began to call all the startups and [09:33] tell him hey take that money out of [09:35] there because you know they may run into [09:37] travel so it was a venture capital world [09:40] that caused the Run [09:42] effectively and and and and and that's [09:45] what happened [09:46] okay now so that's that's what happened [09:49] that's the reason for the run and and [09:51] and [09:53] the and so there was a a problem the [09:55] problem was not that big but but the [09:57] problem is that the deposits were very [09:59] 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