[00:17] Okay, let's uh let's start. Um [00:21] So, what you have there in that picture [00:22] is uh is the result of a survey to a [00:26] bunch of economists [00:27] on which are asked to assess the [00:30] probability that there is a recession [00:31] within the next 12 months. [00:34] Recession means essentially a decline in [00:37] aggregate output. [00:38] Um and well, the first thing to notice [00:41] here is that you know, it's not very [00:43] good news. There is a very high chances [00:45] at at least according to [00:48] this expert that that the US enters a [00:50] recession within the next 12 months or [00:53] so. Pretty high probability. [00:55] You can see that that number typically [00:57] is very very low and it goes very high [00:59] sort of real next to recessions. [01:01] And now we're not in a recession, but [01:03] but there is a sort of very high per se [01:05] probability that we may [01:08] go into recession in the near future. [01:10] So, how is that these people come up [01:12] with this forecast? Well, [01:15] at some level, either explicitly or [01:17] implicitly, they must have some model [01:20] uh [01:21] that of the determination of equilibrium [01:23] output. I mean, you know, they need to [01:24] understand [01:26] they need to see certain things that [01:28] suggest [01:29] when you go through a model that output [01:32] will decline. [01:34] Um so, that's what we're going to start [01:36] doing today. And [01:38] and in fact, that's what we're going to [01:40] do [01:40] throughout this course. It's we're going [01:42] to try to find ever more complex perhaps [01:46] or or richer models of [01:49] uh output determination, aggregate [01:51] output determination. So, that's [01:53] essentially what this course is about. [01:55] Uh [01:56] and so, and understanding sort of we're [01:58] going to try to understand what is it [01:59] that drives that equilibrium output and [02:01] how is it that we get to one specific [02:03] level of output. [02:05] That's what it means to find the [02:06] equilibrium level of output. [02:08] Um and we're going to do it sort of in [02:10] three stages. [02:11] In the first part of the course, that is [02:13] up to quiz one, [02:15] uh we're going to focus on on on the [02:17] very short run. How output is determined [02:19] in the very short run, say within a year [02:22] or so. [02:23] Uh [02:24] uh [02:25] well, a little more even, but but that [02:27] type of frame time frame. [02:29] Then we're going to focus on the medium [02:31] run. That's sort of is [02:34] at the beginning of [02:35] of of the second part of the course. [02:38] Uh [02:38] and by the medium run, simply we're [02:40] going to mean by the time in which [02:41] prices begin to adjust sufficiently. [02:44] Okay? Before that, is most of the action [02:47] happens in in quantities. There is [02:49] little movement in goods prices. There's [02:52] lots of movement in asset prices, but [02:53] little movement in goods prices. [02:55] And in the last part of the course, [02:57] we're going to look at how output is [02:59] determined over the long run, which is [03:00] quite different from how output is [03:02] determined in the short run. [03:04] The determination of output in the short [03:06] run is what we mostly mean by business [03:08] cycle analysis. Okay? And short or [03:11] medium run, the way we're going to [03:12] define it here, is what we mean by [03:14] business cycle. The country's in a [03:15] recession, it's in a boom, it's an [03:17] expansion. Those are all terminologies [03:19] of the short run [03:20] or short or medium run. [03:23] The determination of equilibrium output [03:24] in the long run is when we think about [03:26] growth. When we talk about why is it [03:29] China grows faster than the US today? [03:31] Well, that's a that's a question not [03:32] about the business cycle. It's a [03:34] question about the long-run determinants [03:37] of output growth. Okay? And and they're [03:40] even different class of models. [03:42] In more advanced models, if you were [03:44] doing a PhD, those things are a lot [03:46] closer to each other and and and but but [03:48] in this course, they're going to be very [03:50] different type of models. It's easier to [03:52] analyze these things with different type [03:54] of models than trying to integrate all [03:56] in one big machine. Okay? But let's [03:59] start with the the simple part. In the [04:01] short run, [04:02] the key mechanism, something that will [04:04] will keep showing up uh in all the [04:08] models and sub models we analyze [04:10] uh [04:11] in the first eight lectures or so or [04:13] seven lectures of the next seven [04:15] lectures or so, is this mechanism. In [04:17] the very short run, [04:19] output, that is equilibrium output, the [04:21] thing that these economists are [04:23] forecasting that will decline in the [04:25] next 12 within the next 12 months, [04:27] is determined primarily [04:30] by act what we call demand. [04:32] Okay? [04:33] So, demand will determine output. That's [04:35] the change in demand that will change [04:37] production. [04:39] But when production changes, that will [04:41] also change income. That you know from [04:43] national accounts. Remember we said that [04:44] we could measure output from the [04:47] production side, but we also could [04:49] measure the income side. And they're [04:50] exactly the same. More production, [04:52] somebody has to receive the proceeds of [04:54] that. Workers and owners, capital [04:57] owners, the government, whatever. [04:59] But so, changes in in So, the second [05:02] step we're going to make is those [05:02] changes in production that were brought [05:04] about by the changes in demand will lead [05:07] to a change in income. [05:08] But when income changes, that will [05:10] change demand again. [05:11] And so on and so forth. Okay? So, that's [05:14] essentially that's quintessential [05:16] short-run macro. It's to to try to [05:18] understand this [05:19] aggregate demand, because that's the [05:21] main driver, and then how it gets [05:23] multiplied [05:24] uh in the short run. Okay? And [05:27] in this lecture, we're going to talk [05:28] about just about that. [05:30] You know, primarily about that. Okay? [05:31] But that's that's when So, when I mean [05:33] short-run macro, that's the structure I [05:35] have in mind and that's the structure [05:36] most people have in mind. Something [05:38] where aggregate demand will determine [05:39] that. That's the reason why in the short [05:41] run you worry a lot about whether [05:42] consumer confidence is high or low. [05:45] That's demand. If consumers are very [05:46] depressed, they tend to reduce demand. [05:48] If consumers are very bullish, that will [05:50] tend to increase [05:52] demand. And since in the short run [05:54] output is determined by demand, the [05:56] business cycle, whether we have got a [05:58] recession or not, depends on about how [06:00] demand feels. So, if somebody's [06:02] forecasting a recession within the next [06:03] 12 months, he's forecasting really that [06:07] demand will decline within the next 12 [06:09] months. Okay? [06:12] Why they're forecasting that, that's [06:14] something we're going to learn in the [06:15] steps [06:16] uh as we go through the course. What [06:17] what are the kind of things that they [06:19] may be thinking about? What are the [06:20] drugs on aggregate demand that are [06:22] likely to depress demand? [06:25] Uh and so on and so forth. But that [06:26] we'll we'll get there. Okay? [06:30] Anyways, first let me tell you about the [06:31] components of aggregate demand. [06:34] Uh [06:35] the first and one of the and the largest [06:37] component of aggregate demand is [06:39] consumption. Okay? And when I mean [06:41] aggregate demand, okay, [06:43] I'll be [06:45] I'll pause for a for a slide. Let me let [06:47] me go over the definition. Consumption, [06:49] we're going to denote by C, [06:51] is the goods and services purchased by [06:53] consumers. Okay? Households and so on. [06:57] Investment, which we're going to denote [06:59] by I, [07:00] is the sum of non-residential and [07:02] residential investment. So, equipment [07:05] and establish and and and you know, [07:08] factories [07:09] on one side, and then residential [07:11] investment is houses. [07:12] Stuff like that, apartment buildings and [07:14] so on. [07:15] Which is also these are goods and [07:17] services as well. They're just capital [07:19] goods and so on, but they're also goods [07:21] and services. [07:22] Government spending, that's what we're [07:24] going to denote by G, are purchases of [07:26] goods and services by the federal, [07:28] state, and local government. Okay? [07:31] Excluding, and that's important, [07:32] government transfers. [07:35] What is a government transfer? Many of [07:36] you may have received that during COVID. [07:38] You know, the government sent you a [07:39] check, for example. Okay? [07:42] Well, that check that is not part of [07:43] government expenditure. That check is [07:45] like a [07:46] it's a negative tax and it's going to [07:48] enter somewhere else. [07:50] When we mean government [07:51] expenditure is is things the government [07:54] purchases, services the government [07:57] acquires and so on. Okay? [08:00] Um [08:01] then exports, X, which will play no role [08:05] until seven lectures or eight lectures [08:07] from now, or actually 10 lectures from [08:09] now probably, [08:10] is purchases of US goods and services, [08:13] that is goods produced by US factories, [08:17] uh [08:18] uh [08:19] by foreigners. Okay? [08:24] I am is the other side of the story. [08:26] Imports is the purchase of foreign goods [08:30] and services by US consumers, US firms, [08:32] US government. Okay? So, when you buy [08:35] something that is produced in Germany, [08:36] well, that's an import. When the Germans [08:39] buy something that is produced in the [08:40] US, that's an export. Okay? [08:42] And then the last component is something [08:44] we're going to going to pay any [08:45] attention whatsoever in this course, [08:47] which is inventory investment. Inventory [08:49] investment is certainly [08:51] it's almost accidental. There is some [08:53] planning on it, but but there is a lot [08:54] of it's just from the difference between [08:56] sales and production. And over the very [08:58] short run, there's lots of difference. I [09:00] mean, you're not [09:02] producing unless you're in a bakery, you [09:03] know, you're not producing and selling [09:05] immediately. There is there is certain [09:07] certain lags. [09:08] That's a small thing. It it's volatile, [09:10] but it's a small thing, so we're going [09:11] to ignore it [09:13] for this this course. We're going to [09:15] assume actually, unless we explicitly [09:17] say the contrary, and that could show up [09:18] in a piece that it would never show in a [09:20] quiz, [09:21] because it's not that important, we're [09:23] going to assume that this inventory [09:24] investment is equal to zero. [09:26] Also, for this part of the course, until [09:29] further notice, we're going to assume [09:30] that exports and imports are equal to [09:32] zero as well. [09:34] That's not realistic, but it's easier to [09:36] analyze what we call a closed economy. [09:39] Okay? An economy that is not interacting [09:41] with the rest of the world. In the in [09:44] again, 10 lectures from now, we're going [09:45] to open the economy to the rest of the [09:47] world, and then we're going to have to [09:48] talk about [09:49] things like import, export, exchange [09:51] rates, things of that kind. But for now, [09:53] let's keep it simple. Okay? [09:55] So, now you So, you get a sense this is [09:57] for 2018, but I I mean the the totals [10:00] change, but the composition doesn't [10:02] change very much [10:03] of GDP. [10:05] Okay. [10:08] Of of GDP [10:11] output [10:12] aggregate demand they're all the same [10:16] in equilibrium, but we'll get there. [10:19] GDP you see that consumption accounts [10:21] for a big chunk close to 70% of [10:24] aggregate demand. That's the reason [10:26] people worry so much about consumer [10:28] sentiment and so on. The [10:30] University of Michigan [10:32] has many claims to fame, but one of them [10:34] is they produce this index of consumer [10:35] sentiment, and everyone is watching that [10:37] thing. Anyone that worries about macro [10:39] or finance is watching that thing [10:41] because it tells you a lot about one of [10:43] the main drivers of output equilibrium [10:47] output. Then you see investment is [10:49] substantially smaller, but it's large in [10:52] particular non-residential investment. [10:55] Government expenditure is a big [10:56] component of aggregate demand. And then [11:00] I'm not going to worry too much about [11:01] for a country like the US the open [11:04] openness part is is relatively small. [11:07] If you go to uh you know [11:11] small a small economy typically will [11:14] have sort of very large exports relative [11:16] to GDP and so on. But that's not the [11:18] case of the US. [11:21] And there you see why we're going to set [11:23] in inventory investment to zero. It's a [11:25] small thing. It it moves a lot more than [11:27] than its size, so it can account for for [11:30] fluctuations in in [11:32] sort of the monthly level of GDP, but [11:34] it's not that important [11:36] in a slightly longer periods of time. [11:39] Okay. So, that's more or less the story. [11:41] So, now this is the this is the model. [11:44] Please stop me say if you Is there [11:47] anything here you don't understand [11:48] because any everything that we'll build [11:50] from here to [11:51] quiz one [11:53] will build on understanding this what [11:56] I'm about to say. Very simple, but if [11:58] you miss a step here everything is going [12:00] to be confusing in the next few [12:01] lectures. So, [12:02] and you're not supposed to understand it [12:04] in the first run. So, so it's okay that [12:05] you ask me. But let's make sure that you [12:07] understand what's going on here. [12:10] Okay. So, that's aggregate demand. First [12:12] definitions. We're going to denote [12:14] aggregate demand by this Z, okay? Letter [12:17] Z. [12:18] And aggregate demand is going to be When [12:21] we say aggregate demand, remember what [12:23] what what is the exercise we're trying [12:25] to do. Ultimately, what we want to [12:27] determine is the output the production [12:30] of the US economy, say. [12:32] So, when we mean when we talk about [12:34] aggregate demand, we're trying to [12:35] determine the demand for domestically [12:38] produced goods for goods produced in the [12:39] US. [12:41] That's what we're trying to pin down. [12:43] And so, [12:44] that's the reason aggregate demand looks [12:46] like that. It's well, consumers. [12:48] Consumers are going to demand goods. [12:50] Investment [12:52] G plus exports. If foreign demand US [12:55] goods, that's also increases US [12:56] production. [12:57] Minus imports because imports is [13:01] uh goods and services that consumers, [13:04] firms, and governments sort of buy from [13:06] foreigners, but they're not produced by [13:08] by US companies. So, they are not affect [13:10] the determination of equilibrium output [13:12] in the US. Okay? That's the reason you [13:14] subtract it. Now, that distinction is [13:17] not going to matter [13:19] uh until 10 lectures from now because [13:21] we're going to set X and IM equal to [13:23] zero from the point of view of modeling. [13:25] So, all demand is demand for [13:27] domestically produced goods in this part [13:29] of the course. Okay? So, aggregate [13:31] demand for us will be this C plus I plus [13:34] G. So, we need to understand what [13:36] determines C plus I plus G. [13:39] And at least initially, we're going to [13:41] keep it very very simple. We're not [13:43] going to think too much about what [13:44] determines investment. In fact, we're [13:46] going to assume it's a constant is [13:48] given. So, it's determined somewhere [13:49] else not in the model I'm about to [13:51] solve. [13:53] Government expenditure [13:55] the same. I'm going to assume you know, [13:56] it's determined by some other [13:58] priorities, you know, green agendas and [14:00] stuff like that. It has very little to [14:01] do with with with what we're doing here. [14:05] And then taxes is something that doesn't [14:07] show up there, but it will show up very [14:08] shortly. We're also going to assume that [14:10] they're being determined somewhere else. [14:12] In pieces and later on in the course [14:14] we're going to endogenize all that, but [14:16] not now. Let's assume I'm trying to come [14:19] up with a the simplest possible model of [14:21] aggregate demand. [14:22] And I'm making two of these terms [14:24] trivial just constants. Okay? And I'm [14:27] going to focus all my effort here in [14:30] this component here, which I already [14:31] told you is the most important component [14:34] of aggregate demand, which is [14:35] consumption. Okay? [14:37] So, we're going to assume here we're [14:39] going to have a function. Something has [14:41] to move so for the model to be [14:42] interesting. So, this this this we're [14:44] going to assume that consumption [14:47] is an increasing function of disposable [14:49] income. I'm about to define what [14:51] disposable income is, but you can [14:52] imagine what it is. It's something you [14:53] can use to consume and so on. So, very [14:56] naturally, if you have a higher [14:58] disposable income, you're going to [14:59] consume more. That's what this says. [15:01] Okay? [15:03] In reality, that consumption function is [15:05] a lot more complex. There are lots of [15:07] things that enter there that that we're [15:09] not modeling for now. But let's [15:11] start from the basics. Okay? So, that's [15:14] going to be the only behavioral [15:15] assumption we're going to make for a [15:17] while. [15:18] That that the consumers consume more [15:21] when they have more disposable income. [15:24] Okay. [15:27] And I'm going to make it even simpler. [15:29] I'm going to assume that consumption is [15:31] a linear function of disposable income. [15:34] Okay? So, there's going to be some [15:36] constant C0, which captures lots of [15:38] things that we're not modeling here. For [15:40] example, the fact that for any given [15:42] level of disposable income, [15:44] if you know, if you if you [15:47] if you're richer, suppose you have some [15:48] shares and now the shares double in [15:51] value, you probably are going to consume [15:52] more as well. [15:53] Okay? There are lots of other things [15:55] that affect [15:56] consumption, which are different from [15:58] aside from your disposable income. [16:01] But we're not going to model that. So, [16:02] that's we're going to call it [16:03] autonomous. Autonomous in the sense that [16:05] we're not going to determine it here. [16:07] We're going to take it as a parameter [16:08] that comes from somewhere else. We may [16:10] do some experiments moving that variable [16:12] around, but it's not going to [16:15] be part of what we model. [16:17] C1 is a more interesting parameter for [16:19] this part of the course, and it's what [16:21] we call the marginal propensity to [16:23] consume [16:25] out of disposable income in this case. [16:27] That is C1 tells you the share if you [16:30] get an extra dollar of disposable [16:32] income, how much of that do you spend in [16:34] consumption? Okay? So, say you get an [16:37] extra dollar of income, if you spend [16:41] 60 cents in in the things you normally [16:44] consume of that extra dollar, well, then [16:47] your C1 is .6. Okay? That's the marginal [16:49] propensity to consume. [16:51] And that's what gives us our increasing [16:52] function. You get an extra dollar, [16:54] you're going to do you're going to save [16:55] part, but some of it you're going to [16:56] spend. That part you're going to spend [16:58] is the C1 that we have there. Okay? [17:02] Good. [17:04] Uh [17:07] And I [17:08] Now, let me tell you what how we define [17:10] disposable income. Disposable income is [17:12] just equal to income, which is equal to [17:14] production, you [17:16] minus taxes. That's disposable income. [17:18] Okay? It's whatever you earn as a either [17:20] as a worker as a capital owner, [17:24] well, then the government takes its [17:25] something out of it. That's your [17:27] disposable income, and that's where you [17:29] have to decide how much to save and how [17:31] much to consume. [17:32] Okay? [17:34] That's [17:35] So, so that means that our consumption [17:37] function is [17:38] can be written that way [17:40] after all these assumptions I made, you [17:43] know, equal to this autonomous component [17:45] plus C1 the marginal propensity to [17:47] consume times [17:49] uh income output minus taxes. [17:56] Is it clear? [17:59] Yes? [18:00] So, all these are assumptions. Now, [18:01] they're not crazy assumptions in the [18:03] sense that you know, that we know that [18:04] that there is a relationship between [18:06] these two things. Again, [18:07] the consumption function in practice is [18:09] much richer than that. [18:11] And there is lots of randomness random [18:13] terms around and so on, but that's not [18:15] what we're about here. [18:17] But that's if you want to start with a [18:18] consumption function, this is a pretty [18:20] reasonable one to start with. Okay? [18:24] Okay. So, that's going to look in the [18:25] space of disposable income or income. I [18:28] could have put income there not [18:30] disposable income. So, it's going to [18:31] look like that. [18:33] Okay? [18:34] So, C0 is that autonomous consumption is [18:37] some something you're going to consume [18:39] regardless of your level of disposable [18:40] income. I mean, there is a minimum [18:41] consumption you have to have. You know, [18:43] say. And then [18:46] and then [18:47] the slope of that is is the marginal [18:50] propensity to consume, which is C1, [18:52] which is a number between zero and one. [18:57] Okay. So, let's let's determine [18:59] equilibrium output. [19:02] So, we have aggregate demand, which is C [19:04] plus I plus G. Okay? [19:07] There we are. [19:09] That's that was our definition of [19:11] aggregate demand. [19:12] Uh I'm going to stick in now the [19:14] functional forms. Well, these guys are [19:16] very boring. They're constants. And I'm [19:18] plugging in here the the consumption the [19:20] consumption function. Okay? So, what we [19:23] have here is that aggregate demand [19:27] is an increasing function of output or [19:29] income. Okay? [19:32] It's also a function of taxes, [19:33] investment, and so on, but but it's an [19:35] increasing function of output. And And [19:37] this is important because I'm Remember, [19:39] the the goal of this is to find [19:42] equilibrium output. [19:44] So, here I have on the right hand side [19:46] of my aggregate demand [19:48] output. That's good. I have one equation [19:51] in which output shows up. [19:53] Okay? Now, I cannot find equilibrium [19:55] output just from this equation. Why is [19:57] that? [20:00] So, I'm Remember, we're trying to build [20:02] a model [20:03] to find [20:05] equilibrium output. [20:07] That's our goal. That's what will tell [20:09] us whether we're in a recession or not. [20:11] Output is low, recession. Output is [20:13] high, we're in a boom. [20:15] Obviously, I cannot solve it from this. [20:17] I have two unknowns. [20:19] What are my two unknowns? [20:23] Two unknowns, one equation. [20:25] What is my second unknown there? [20:37] Aggregate demand, of course. We have to [20:39] determine Z and Y. [20:41] Okay? [20:42] So, how are we going to do that? [20:45] Well, [20:46] using a second equation, which is the [20:48] equilibrium condition. It's not a [20:50] function. This is a function. This is [20:52] not a function. This is an equilibrium [20:53] condition. It says, "In equilibrium, not [20:56] outside equilibrium. In equilibrium, [20:59] output is equal to aggregate demand." [21:02] Okay? [21:03] That's what this [21:05] equilibrium condition tells us. Off [21:07] equilibrium, this doesn't hold. That's [21:08] the reason this is not a function. This [21:10] holds everywhere. It's a function. [21:12] This is an equilibrium condition. It [21:14] says, "At equilibrium, aggregate demand [21:16] is equal to output." [21:18] So, now we're done because we have two [21:19] equations with two unknowns. Okay? [21:24] Good. [21:25] And the reason I post on this is that I [21:27] see that mistake made often. [21:29] Okay? [21:30] That this is interpreted as a function. [21:32] It's not. It's an equilibrium condition. [21:34] At equilibrium, it holds. And that you [21:36] can see, actually, I'm going to [21:38] illustrate the same point in in the [21:40] diagram. So, this is the [21:42] Let me Let me keep going. So, this is [21:44] clear, no? So, this is This is just a [21:46] summary of what we had in the previous [21:48] slides. It's [21:50] And this is the new thing here, which is [21:53] in equilibrium, output is equal to [21:55] aggregate demand. [21:56] And and and the and the [22:00] And again, that's what makes [22:02] this a really a short [22:04] short-run model. You see, I'm saying [22:07] output in the short run is whatever [22:08] demand wants it to be. [22:12] Which is different from from from [22:15] the long run that says, "No, no. Hold on [22:17] a second. I mean, but you [22:18] How much output you can produce is a [22:20] function of the capital you have, of the [22:21] workers you have." Yeah, yeah, that's [22:23] true in the long run. But in the short [22:24] run, you have lots of flexibility [22:26] because you have lots of unused capacity [22:27] and so on. [22:29] Okay? So, this is pretty It's a big [22:31] assumption, and there is schools of [22:33] thoughts within microeconomy that split [22:35] by this assumption, whether you believe [22:37] that that that in the short run, output [22:40] is aggregate demand determined or not. [22:43] At MIT, we tend to believe that in the [22:45] short run. The long run, no. But in the [22:47] short run, that's what it does. [22:48] Now, sometimes the long run gets to you [22:51] very quickly. And at this point, we're [22:53] in a situation like that. That's the [22:54] reason we're seeing inflation and so on, [22:55] but that's something you'll understand [22:57] later on. [22:58] Okay? But but but for now, so this is [23:01] this is important. We're going to We're [23:03] saying here [23:04] output I don't need another equation. I [23:06] could have done aggregate demand like [23:07] this, and then output a function of [23:08] capital, labor, lots of things. [23:11] I'm not going to even do that. I'm going [23:12] to say, "No, no. Output will be whatever [23:14] demand wants it to be." Okay? [23:17] And that means in equilibrium, they have [23:18] to be equal. [23:20] Good. [23:21] You had a question. [23:28] No, they are the same for us. [23:31] That's our definition. GDP for us is [23:33] output. [23:35] So, when I say aggregate output, I mean [23:38] GDP. [23:39] Remember? Real GDP. We're talking all [23:41] about real GDP. Okay? [23:43] Uh [23:44] And it's also equal to income. Not [23:46] disposable, but it's equal to income. [23:47] Remember when we did those little tables [23:49] where we look on our [23:50] the three different ways of doing it? [23:52] Well, the first two were output. [23:55] And the last one was income, and they [23:56] had to be the same. [23:58] Okay? [23:59] So, why is real GDP for us? [24:04] That's real GDP. [24:07] What happens in the table I show you, [24:11] I already used the fact that real GDP is [24:13] equal to aggregate demand, and that's [24:14] the reason I show you the different [24:15] components of Z. [24:17] I show you that, that, and that. [24:20] Okay? But in equilibrium, they're equal. [24:28] There's really a figure that that will [24:30] clarify, I think, a lot of that. But [24:32] let's Let me keep solving this. So, [24:34] we have that And so, what I'm going to [24:36] do next is just solve it. So, we have [24:38] this equilibrium condition. I'm going to [24:39] plug in my aggregate demand function [24:42] here, [24:43] and so I can solve out for equilibrium [24:45] output. And here we have the first for [24:47] the first time in this course, an [24:48] equation for equilibrium output. [24:50] There you are. That's your equilibrium [24:52] output in this economy. [24:56] Okay? [24:58] Now, this guy here [25:01] is very famous, [25:02] and is very macro. [25:04] Doesn't happen in micro. It happens in [25:06] macro only. Okay? This guy here. [25:11] Another guy there is called the [25:13] multiplier. [25:16] Okay? [25:19] And it's a very important macro concept. [25:20] A huge concept in macro. [25:24] Now, why do you think it's called a [25:26] multiplier? [25:28] Well, obviously, it multiplies [25:29] something, but a multiplier sounds like, [25:32] you know, [25:34] that multiplies that makes something [25:36] bigger, no? [25:39] So, what happens if C1 is [25:42] uh greater than zero? [25:48] Is What happens if C1 is greater than [25:50] zero? Remember, it's between zero and [25:51] one. But what happens if it's greater [25:53] than zero? What happened with that [25:54] number there, one over one minus C1? [26:02] It's greater than one. That's what this [26:04] is. It multiplies. Okay? So, that's the [26:06] reason we call it a multiplier. There's [26:07] not nothing deep there. Uh okay? So, [26:09] this thing here is sort of autonomous [26:11] stuff, you know? It's what the [26:12] government spends, what firms are [26:14] spending, capital. [26:15] This is autonomous consumption. Uh [26:19] And this Actually, this is a typo there. [26:21] There should be a C1 in front of that. [26:24] Typo. [26:25] It comes from there. C1 times [26:28] T. [26:29] So, fix that typo, please. I I'm going [26:31] to upload the slides again with with the [26:33] typo fixed. Okay? [26:36] I'm just It comes from here. C1 times T. [26:40] Okay, so that's what this does. It [26:42] multiplies. So, whatever it is that that [26:44] is happening here, whatever it is that [26:45] the government is spending or whatever, [26:47] this term multiplies it. And that's a [26:49] huge thing. Uh There was a big debate uh [26:53] almost always when you're trying to get [26:55] out of a recession and the governments [26:57] are spending, a big question is, "Well, [26:58] how big is the multiplier?" If the [27:00] multiplier is small, you're going to [27:02] have to spend a lot to get the economy [27:03] out of the recession. If the multiplier [27:05] is large, [27:07] then then uh [27:09] you you're going to have have to spend [27:11] very little, and then the multiplier [27:13] will take you away from from that [27:14] recession. [27:16] So, what is it that makes the multiplier [27:18] large or small? [27:23] Well, mechanically, when is it that [27:25] multiplier large? [27:27] When C1 is closer to one. So, when when [27:30] people are spending more of their income [27:31] on Exactly. When C1 is large. [27:34] And that that gives you the logic, and [27:35] that's very important in macro. It's [27:38] Why is it that a big multiplier? Well, [27:40] because think what happens in macro. If [27:42] the government spends, [27:45] that increases output. [27:47] But now, output increases income. And if [27:49] consumers spend a big share of their [27:51] extra income [27:52] in output and consumption again, then [27:55] that increases output again, which [27:57] increases income again, and [27:59] you keep going. [28:00] Okay? [28:01] So, that's the sequence. On the [28:03] contrary, if consumers are very scared, [28:04] they don't want to spend any extra [28:06] dollar they receive, anything of the [28:07] extra dollar they receive, then you [28:09] don't get any multiplier because this [28:11] initial increase in output that comes [28:13] from the government expansion, that does [28:16] lead to increase in income, but if [28:17] consumers don't spend it, it doesn't [28:19] recirculate into the economy, and then [28:20] you don't get a multiplier. Okay? So, [28:22] that's that's the reason we call it the [28:24] multiplier. [28:27] So, that diagram is is an important [28:29] diagram. I'm just [28:32] uh [28:34] doing this, actually. In that diagram, [28:37] I'm plotting the aggregate demand [28:39] function, [28:40] and then this equilibrium condition, [28:42] output equal to aggregate demand, [28:44] in the space [28:46] of [28:47] uh [28:48] aggregate demand and output, production, [28:51] and income here. But remember, income is [28:53] equal to production. Okay? [28:55] So, there's your aggregate demand, [28:58] and that's your 45 degree line because [29:01] this output equal to So, whatever is in [29:03] this axis is equal to that axis. That's [29:05] the 45 degree line. [29:07] Okay? That's your equilibrium condition. [29:09] It says, "At equilibrium, this guy here, [29:12] aggregate demand Z, will have to be [29:13] equal to Y." Those are That's straight [29:16] there. [29:17] This is aggregate demand. [29:20] Why is this line flatter than that? [29:25] Why is aggregate demand flatter than [29:30] Uh because people don't spend their [29:32] entire dollar on Exactly. Because C1 is [29:34] less than one. [29:36] So, the slope of the aggregate demand in [29:38] this space is C1. [29:40] It's the marginal propensity to consume. [29:42] How much more they demand if they get an [29:44] extra dollar? Well, And don't get They [29:46] don't demand one one extra unit they [29:48] demand C1 unit and C1 is less than one. [29:51] Okay, that's the reason this. [29:53] So, if C1 is very small, [29:56] this line is going to be very flat. [29:58] If C1 is very large, very high marginal [29:59] propensity to consume, this is going to [30:01] be very steep, [30:02] the red line. [30:03] The other one doesn't change, the 45° [30:05] line. [30:06] Okay? And what I said is that [30:09] at equilibrium So, you see if I take an [30:11] off-equilibrium level of output, say [30:13] this, [30:14] aggregate demand is different from [30:15] output. [30:16] It's only at equilibrium that these two [30:19] things will hold. [30:22] Okay? [30:23] This function I can plot it everywhere. [30:27] But this one will hold only at [30:28] equilibrium. [30:30] Okay? [30:31] That's when these two things are equal. [30:35] So, what I solve here, [30:39] here I just found this point. [30:41] Okay? [30:42] So, parameters here are C0, [30:46] uh [30:46] C1 * T, and G. They all shifters of this [30:50] aggregate demand up and down. [30:53] Okay? [30:55] And and that point here [30:59] is exactly that. And those all those [31:01] things are parameters in my aggregate [31:03] demand. [31:11] I really want you to internalize this [31:12] diagram. [31:15] Any questions about [31:19] Just stare at this little bit because [31:21] it's going to show up repeatedly. [31:24] And and later on it's not going to show [31:25] up, but whenever you get confused, the [31:28] way to get yourself out of that [31:29] confusion is going to be to go back to [31:31] the diagram. [31:32] You'll see. I'll remind you when when [31:34] when that's likely to happen. [31:37] Okay? So, so you better understand [31:39] this diagram. Play with it. Move [31:42] Here the only thing you can move around [31:44] is the ZZ, the the the aggregate demand [31:46] curve. Okay? [31:48] The other thing is our equilibrium [31:49] condition. You can't move that that 45° [31:52] line. But ZZ you can move it around. So, [31:55] let's do a a few exercises. Well, one, [31:58] the most obvious. [32:00] Suppose that C0 increases by 1 billion. [32:05] Okay? So, autonomous consumption, that [32:06] is that level of consumption which is [32:07] independent of income, goes up by 1 [32:09] billion. [32:10] And that could be, you know, we're all [32:12] in a better mood. You know, okay, [32:14] disposable income is whatever it is [32:16] today, but you know, there's great [32:18] expectation that that in the that the [32:20] economy will enter a boom next year. [32:24] And so, then you feel richer and so on, [32:26] and you may decide to consume not wait [32:28] until next year, you may decide to [32:29] consume more today. That kind of thought [32:31] experiment can be captured by a C0 type [32:34] shift, go up. And that's when you I talk [32:36] about consumer sentiment. Well, consumer [32:38] sentiment is about a lot about C0. For [32:41] any given level of income, will [32:42] consumers are likely to to to consume [32:45] more than they would otherwise or or [32:47] less. [32:48] And that's what C0 captures. [32:50] So, let's go [32:52] everything in this model, there's no [32:53] dynamics [32:54] in this simple model, so we immediately [32:57] but we know is if just were to solve the [32:59] equation, [33:00] and I tell you what happens to if output [33:03] what happens to output if C0 goes up by [33:05] 1 billion, [33:07] you know that output will rise by how [33:09] much? [33:12] Let's keep it simple. [33:14] I [33:15] just staring at that equation. If I tell [33:17] you autonomous consumption goes up by 1 [33:19] billion, [33:20] what happens to equilibrium output? Goes [33:22] up by more or less than 1 billion? [33:25] Or or exactly 1 billion? [33:33] Exactly. And the multiplier is greater [33:35] than one. So, we know that the output [33:37] will increase by more than 1 billion. [33:40] Will increase by 1 billion times the [33:41] multiplier. [33:43] If C1 is .5, then it will increase by 2 [33:46] billion dollars equilibrium output. [33:49] Now, I'm going to get you to from the 1 [33:51] billion to the 2 billion in a steps [33:54] using the diagram. That's what I intend [33:55] to do next. [33:58] Okay? So, [34:00] this shift here, so we're starting from [34:02] this equilibrium output here. [34:04] This shift here, [34:06] boom, [34:08] is increasing C0. That's a 1 billion. [34:10] So, distance A to B is 1 billion. That's [34:14] it will be because what I did is for any [34:16] given level of output I shift this [34:17] aggregate demand up by 1 billion. That's [34:20] autonomous consumption up. [34:22] Okay? [34:23] Well, [34:24] because output is whatever demand wants, [34:27] that immediately increases output [34:30] by 1 billion. So, B, the distance [34:32] between B and C is also 1 billion. [34:35] Okay? [34:36] Demand increase by 1 billion, boom, [34:38] output immediately catches up. [34:41] So, output increases by 1 billion. [34:45] But if output increases by 1 billion, [34:48] what has happened to income? [34:56] It also increased by 1 billion. Income [34:58] is the same as output. [35:01] So, [35:02] income has increased by 1 billion. [35:04] Well, if income has increased by 1 [35:05] billion and C1 is different from zero, [35:09] that means part of that extra billion is [35:11] going to be spent [35:12] in consumption, second round. [35:15] So, say C1 is .5, then now you get 500 [35:18] million dollars more of expenditure. [35:21] But if it's of consumption, and if [35:22] there's 500 dollars that's that's a C [35:25] CD. [35:26] Shift, that's 500 million. [35:29] Obviously, this C1 here is is less than [35:31] .5 because otherwise [35:33] you know, this would be half of that, [35:35] but but it's not. Anyway, [35:37] you get 500 million more. [35:39] But if you if now there's 500 million [35:41] more of demand, since output does [35:43] whatever production does whatever demand [35:45] wants, then you get 500 more of [35:47] production. [35:49] And if you have 500 more million dollars [35:51] more of production, then you have 500 [35:52] million more of income. [35:54] And if you have 500 more of income and [35:56] so your C1 is greater than zero, [35:57] say .5, you're going to spend 250 [36:00] million more. [36:02] But 250 million more will generate 250 [36:05] million dollars of production, which [36:06] also will generate 250 million dollars [36:09] more [36:10] of [36:11] income, [36:13] which will generate 125 million more [36:16] of consumption, and blah blah blah blah [36:17] blah. You you you get your Okay? [36:20] So, that's and that's what is happening [36:22] here. [36:24] Boom. [36:25] Yeah. [36:29] From C [36:30] to D. Okay. So, this is initial [36:34] shift in aggregate demand up, 1 billion. [36:38] That [36:39] lead to leads to [36:41] uh [36:42] 1 billion more of production as well, [36:45] which means 1 billion more of income. [36:48] Okay? But now these consumers not only [36:50] have this C0 1 billion higher in C0, but [36:53] they also have 1 [36:55] uh billion more of income. [36:57] And since they have 1 billion income and [36:59] they're going to spend part of it, C1 [37:01] times that, and I assume C1 was .5, [37:03] that's what gives me CD. [37:06] That's the the extra five 500 million [37:09] dollars. [37:10] And then this that thing here there is [37:12] also 500 million dollars, and then there [37:13] was 250 million, 250 million, 125, 125, [37:18] 62 and a half, blah blah blah. [37:20] That's that's the way you get there. [37:24] There's an alternative way of [37:26] finding equilibrium output, which is [37:28] entirely equivalent. And it's the way it [37:30] was initially done, by the way. [37:32] Uh and and and you'll see later on a [37:34] very important curve in this course will [37:37] be [37:38] the IS curve, which is a curve that [37:40] describes all the equilibrium in goods [37:43] markets. We'll get there. [37:45] But but the reason it's called IS is [37:47] because of this alternative way of [37:48] deriving the same I have derived, [37:50] which is [37:52] through you you can arrive to the same [37:54] equilibrium by saying, "Look, [37:55] equilibrium output is that output at [37:58] which investment is equal to saving." [38:01] That's the reason that curve is going to [38:03] be called IS, investment equal to [38:05] saving, S. [38:07] So, let me very quickly do it for you [38:08] and and then make a point and connect [38:10] the two things. [38:11] So, say private saving is, you know, [38:14] what con- sumers do and so on, [38:16] and firms, is just disposable income [38:19] minus consumption. That's your saving. [38:21] Okay? [38:22] So, it's equal to Y minus T, that's [38:24] disposable income, minus C. [38:27] Government saving is taxes minus [38:31] government expenditure. So, if the [38:32] government has a deficit, that thing is [38:34] negative. Governments often have [38:36] negative saving. Okay? If you have a [38:38] surplus, then taxes are greater than G, [38:42] then you have a fiscal surplus. Again, [38:45] rarely happens in the US [38:47] or in the Americas in general. Okay? [38:49] Happens a lot in Asia, but not doesn't [38:51] happen very much in this part of the [38:53] world. [38:54] But there we are. So, in equilibrium, [38:57] investment, I, [39:00] has to be equal to saving. So, that's [39:02] what you are going to use the saving [39:03] for, to invest. Okay? [39:06] So, investment is equal to the sum of [39:08] savings. [39:09] I can replace all that in here, and you [39:11] see that I get exactly the same [39:14] equilibrium condition I had before. [39:16] Output equal to aggregate demand. [39:18] Okay? So, this is an entirely equivalent [39:21] way [39:22] of deriving this, and I just want to [39:24] show you this [39:26] because it's the way it was originally [39:28] done, and and and and and you'll [39:31] understand better the terminology we use [39:32] later on [39:33] if you see that this is an equivalent [39:35] way. This is also a nice way of [39:38] illustrating something why macro can be [39:40] counterintuitive sometimes. [39:41] Microeconomics is very intuitive. I [39:43] mean, things make sense. [39:45] It's like physics, it makes sense. Macro [39:47] is can be confusing. [39:49] For example, there's the well-known [39:52] paradox of saving in the short run, not [39:54] in the long run. In the short run, you [39:55] have the paradox of saving. [39:57] So, you know, we all think that you save [40:00] more is a good thing. Our parents teach [40:02] us that it's a good thing to save more [40:03] and so on. [40:05] And in general, [40:06] that is true. You'll do better in life [40:08] if you save a little more and so on. [40:10] But it's not true for the macro in the [40:12] short run. [40:16] You know, it's not good for [40:18] macroeconomics in the short run [40:20] unless you are in a overheated economy. [40:22] Now, it could help. [40:24] But otherwise, it's not very good for [40:27] equilibrium output. Let me show you that [40:30] very quickly with the expression I just [40:32] showed you. Remember that I said [40:33] equilibrium output is pinned down by [40:35] investment equal to saving. And saving [40:38] of the private saving here is an [40:40] increasing is an increasing function of [40:41] output, okay? It is equal to actually 1 [40:45] - c The function has a slope of 1 - c1. [40:48] C1 is the share of income that you spend [40:51] in consumption. Therefore, 1 - c1 is the [40:53] share of your income that you spend in [40:55] saving, okay? So, this function is [40:57] increasing with a slope of 1 - c1. [41:01] So, suppose I tell you now that all we [41:03] decided to to we learn the lessons of [41:05] our parents and say, "Okay, we should [41:06] all save more." [41:08] So, that means for any for any given [41:11] level of income, now we all decide to [41:12] save more. That means the the S function [41:15] shifts up. [41:17] For any given level of income, [41:19] we save more. But [41:21] we have a problem there because now we [41:22] have more saving than investment. [41:26] So, how how do we restore equilibrium? [41:28] That's not an equilibrium. [41:29] How do we restore equilibrium? [41:37] So, now we all decide to be more prudent [41:39] and save a little more. [41:42] At the level of the economy as a whole, [41:45] now we have more saving than investment. [41:47] That can happen. It can It's not an [41:49] equilibrium. [41:51] What restores equilibrium? [41:55] Well, [41:55] in this very simple model, our [41:57] investment is fixed. So, I nothing can [41:59] adjust on the investment side because [42:01] it's fixed. Later on, it's going to [42:02] move, but now it's fixed. [42:04] Nothing can adjust in the public saving [42:06] part because, you know, it can't move. [42:09] We assume that it's exogenous. [42:10] So, something has to happen endogenously [42:12] here that that reverses the increase in [42:15] savings. That's the only thing that can [42:17] happen. And the only thing that can [42:18] happen endogenously here is a declining [42:20] output. [42:22] Output declines, saving declines. [42:24] So, here you end up in a situation in [42:26] which we all decided to be sort of, you [42:28] know, better people, save a little more, [42:30] and we end up sinking the economy in a [42:32] recession. [42:34] Yeah, [42:35] output declines. [42:36] Okay, that's the reason it's called the [42:37] paradox of saving. [42:41] That's not going to happen to you [42:42] individually, but to an economy as a [42:44] whole, that's the reason I said it's [42:46] counterintuitive. [42:47] It it can happen. [42:52] I get [42:53] So, I [42:54] Look, if you don't like this way of [42:57] uh [42:57] and it's not the main way we're going to [42:59] use. If you don't like this way of [43:00] finding equilibrium output, just ignore [43:02] it. I I just wanted you to know it. Go [43:04] back to The thing you really need to [43:06] understand is not this, it's it's this, [43:08] that, that that you need to understand. [43:10] So, let me [43:11] illustrate the paradox of saving [43:14] in in the model we're using, in the one [43:16] I want you to really remember. [43:19] Well, [43:20] the paradox of saving, I can capture by [43:23] a declining c0. [43:25] Okay? For any given level of income, now [43:27] we decide to consume less. If we consume [43:29] less for any given level of income, that [43:31] means we're saving more. [43:33] Okay? [43:34] So, I can capture in this diagram [43:38] uh [43:39] the the fact that we all all become sort [43:41] of more prudent by a declining aggregate [43:44] demand. [43:46] But if aggregate demand declines, so [43:48] suppose we start at this equilibrium [43:49] level of output and then all of a sudden [43:51] we say, "Okay, enough is enough. We need [43:53] We need to start saving more." [43:55] Then, [43:56] what happens? Well, aggregate demand [43:58] declines. [44:00] I mean, for any given level of income, [44:02] if you're going to save more, that means [44:03] you're going to consume less. So, [44:04] aggregate demand declines. [44:06] But what happens when aggregate demand [44:07] declines? [44:11] Output declines. [44:13] What happens when out when output [44:14] declines? [44:18] Income declines. [44:19] What happens when income declines? [44:25] Well, part of that income you consume, [44:27] so you're going to consume less. [44:28] C1 times that. So, then and then you get [44:31] the multiplier working against you. So, [44:33] not only if now we all decide to save [44:35] more, not only output falls [44:38] by the same amount that that we increase [44:41] savings, [44:42] but actually it declines by more than [44:44] that because you get the multiplier [44:45] working against against you. [44:47] Okay? [44:49] That's the reason I'm a big role of [44:51] policy makers really in recession is to [44:54] try to maintain the calm, the you know, [44:57] because you can get into this kind of [44:58] things. If everybody gets scared and and [45:00] you know, we all get scared, so the [45:02] economy can implode just out of bad [45:04] sentiment. Uh [45:06] and so on. [45:14] Now, we're on the opposite side of the [45:16] cycle. We would want output to decline a [45:18] little because we are having other [45:20] problems, inflation and so on, again, [45:22] something we'll discuss later. [45:24] So, now you may want to scare consumers [45:26] a little. And in fact, [45:28] uh [45:32] the the governors of the Federal [45:34] Reserve, and the same is happening in [45:35] other places in the world, are doing [45:36] just that. I mean, when they go out [45:38] there, say the economy is too hot, [45:42] uh we're going to have to mess up this [45:44] economy a little. And then they're [45:45] telling us that. [45:47] And and and the first ones to listen to [45:49] these things are is the financial [45:50] markets. So, every time they come out [45:52] and make a speech of that kind, equity [45:54] markets decline. [45:56] Well, equity markets capture before the [45:59] mood that consumers will have in the [46:00] future. They capture it early. But [46:02] that's the message. [46:03] Okay? So, they're trying to At this [46:06] moment, really, [46:08] uh [46:08] policy makers, at least the the central [46:11] banks, are trying to do just that. [46:13] Depress a little bit consumers. [46:15] So so so we can [46:17] cool off the economy a bit. [46:19] Okay? [46:22] Any questions? [46:24] Again, very important lecture because [46:26] we're going to build on on this and and [46:28] later on this is going to be always in [46:30] the background. [46:32] And [46:33] of this until we actually go to the [46:35] third part of the course, [46:36] the key model will be this. This will be [46:38] in the background. More More things will [46:40] be happening on top, [46:42] but but whenever I ask you a question, [46:45] for example, later on, one example, what [46:48] else would produce a [46:50] this a situation like this? [46:54] What else would What What could have [46:56] What kind of policy [46:59] would generate [47:01] that [47:02] that movement? Well, at this point, we [47:04] haven't introduced monetary policy, so [47:06] you cannot talk about monetary policy. [47:09] But we do we do have [47:11] other kind of policy we could talk [47:12] about. [47:24] Remember? [47:30] Here. [47:32] Fiscal policy. [47:35] Okay? [47:36] Fiscal policy, G and T. Those are fiscal [47:38] parameters. [47:40] When when G goes down or T goes up, we [47:43] call that contractionary fiscal policy. [47:45] Why contractionary? Because it contracts [47:47] aggregate demand. [47:49] If If G goes down, clearly aggregate [47:51] demand goes down immediately. If T goes [47:54] up, well, disposable income for any [47:55] given level of income goes down, and [47:57] therefore consumption goes down. So, so [47:59] we call an increase a declining G or an [48:02] increasing T a contractionary fiscal [48:04] policy. [48:05] The opposite, if G goes up and T goes [48:08] down, we call that an expansionary [48:10] fiscal policy. [48:11] So, I take you back to this diagram [48:14] here, [48:16] and I ask you the question again. [48:18] What kind of fiscal policy will generate [48:20] this type of [48:22] this picture? [48:24] Contractionary or expansionary? [48:32] Contractionary. Contractionary. I mean, [48:34] good mnemonic, the output declined. [48:37] You know? So, contractionary So, that is [48:39] a declining a reduction in G, in [48:41] government expenditure, [48:43] or an increase in taxes [48:45] will shift that curve down, and then the [48:47] multiplier will make it even more [48:49] contractionary than the initial fiscal [48:52] impulse. [48:57] Very good. [48:58] I'll see you on Wednesday.