[00:17] Let's say let's start with the [00:19] Mundell-Fleming model. Now this is a [00:21] model that that [00:23] I think it's extremely useful. [00:26] And [00:28] in the short term it will be important [00:29] for you because it probably 70% of the [00:32] quiz will be related to things that [00:35] to this model. Meaning, you know, we're [00:36] going to use this model for different [00:38] things. [00:39] But but but if you understand it well, [00:42] you probably have 70% of the last quiz [00:45] under control. [00:46] So I'm going to go very slowly over it [00:48] and please stop me if there's any step [00:50] you don't understand. I I put the steps [00:53] into myself so I don't [00:54] rush because again I think it's [00:56] important. [00:57] Um [00:59] to understand things. [01:00] So here you have the exchange rate, two [01:03] exchange rates. [01:05] The the wide one is the [01:08] the the [01:10] the euro-dollar [01:12] exchange rate. [01:14] I'm quoting it the opposite of the way [01:16] it's normally quoted. There are some [01:18] conventions in effects markets but this [01:20] is as we have defined in this course is [01:22] if it goes up it means an appreciation [01:24] of the local currency. [01:26] That is the dollar. [01:27] That is you get more of the foreign [01:30] currency per unit of the domestic [01:32] currency when it goes up. [01:34] And down is a depreciation. [01:36] And you see there that the so this is [01:39] the the dollar became [01:41] uh [01:41] gained value relative to the euro [01:43] through all this period and then it has [01:45] lost quite a bit of value uh since sort [01:48] of late 2022. [01:51] For for with respect to the Japanese [01:53] yen, that's the blue line, it's was the [01:55] whole cycle is even more dramatic, no? [01:57] Big appreciation of the dollar. [01:59] Depreciation of the yen. [02:02] Uh and and a reversal [02:05] uh [02:06] since late 2022 and so on. [02:09] So what is behind this this big [02:12] fluctuations? [02:13] Many things. Effects are volatile like [02:15] almost any asset price. But one of the [02:18] main drivers of this uh [02:20] of of of these fluctuations is [02:23] perceptions about interest rate policy [02:24] in the different parts of the world. [02:26] Okay? [02:27] So [02:28] uh the reason we have seen a lot of this [02:31] decline here. [02:33] So the reason for the rise here of the [02:35] dollar is mostly because [02:37] investors in general perceived that the [02:39] US was more advanced in its business [02:42] cycle. It began to tighten interest rate [02:43] before the rest of the world. [02:45] And since interest rates were rising in [02:48] in the US, that led to an appreciation [02:50] of the dollar. [02:51] By a mechanism they described at the end [02:54] of the previous lecture but I'm going to [02:56] repeat today. Remember when I talked [02:58] about the uncovered interest rate parity [02:59] condition? Well, it's related to what [03:01] I'm talking about here. [03:03] I'm going to again go go again over [03:05] that. And a big reason for the decline [03:07] more recently is simply that there's a [03:11] sense that monetary policy is peaking in [03:13] the US in terms of tightness while the [03:15] rest of the world is catching up. Uh and [03:18] and in the case of Europe more than [03:20] catching up because they have further [03:22] supply shocks coming from energy shocks [03:24] and so on. [03:26] So if you look for example at the [03:27] expected in policy rate path in the case [03:30] of the US [03:32] nowadays [03:33] it looks like this. So the still market [03:35] expect some hike some hikes in the US [03:38] but a limited amount of hikes and then [03:40] they expect quickly the Fed to start [03:42] undoing that. Okay? That's what this [03:44] path is telling you. This is expected [03:46] policy rate path. What the market thinks [03:49] now the policy rate will be in the next [03:51] meeting, two meetings from now, three [03:53] meetings from now, four meetings [03:54] meetings of the FOMC [03:56] uh [03:57] from now. Okay? Well, if you look at the [03:59] same picture in Europe, it looks like [04:00] that. It's clear that they are they are [04:02] still there is more ahead. [04:04] And and then you see sort of that that's [04:07] what the market perceive at this point. [04:09] Whether that ends up being true or not [04:11] doesn't matter. At any point in time the [04:13] exchange rate is determined by what the [04:14] markets think. So so what actually [04:17] happens is less important for an asset [04:19] price. An asset price is a lot about [04:21] pricing today is things that you expect [04:23] to happen in the future. Uh what it [04:25] expects what you expect is what matters, [04:27] not what actually happens. And at this [04:28] moment the market expect uh [04:32] the euro area to go through a [04:34] sort of a more prolonged periods of [04:36] hiking interest rate hiking. [04:38] Japan hasn't had hikes in interest rate [04:40] for three three decades but even now you [04:43] start you begin to see some [04:45] you know, [04:46] the scale here is very small. These are [04:48] a few basis points. But even the point [04:50] I'm trying to make is that certainly [04:52] that [04:53] people expect interest rates in the US [04:55] to go down relative to interest rates in [04:57] Japan. [04:59] Not to say that the interest rate in the [05:00] US will be lower than the interest rate [05:02] in Japan but the direction of the change [05:04] is in that way. So relative to where [05:05] we're at now [05:07] the direction of the change is is is is [05:10] towards the US loosening monetary policy [05:14] uh before the rest of the world does. [05:16] Okay? And and that's what is leading to [05:18] these big swings. [05:21] As I said before you know, this is the [05:23] period in which the US had to start [05:24] tightening before the rest and and the [05:27] currency appreciated a lot especially [05:29] with respect to the yen because again [05:30] the yen has been against the zero lower [05:32] bound for a very long time. So nobody [05:34] expected the yen to move to follow the [05:36] US. [05:37] And and and while with respect to [05:39] Europe, well Europe was having [05:40] inflationary problems and so on as well. [05:42] So people expected it to follow the US [05:44] at some point. For Japan, there was [05:47] nothing like that and that's what led to [05:48] the massive depreciation of the yen. [05:51] Appreciation of the US dollar vis-a-vis [05:53] the yen. [05:54] Okay? [05:54] So what we the Mundell-Fleming model is [05:57] about is about first connecting these [06:00] things, trying to understand what moves [06:01] exchange rate, how different monetary [06:03] policies in different places or [06:05] different policies in different places [06:06] of the world affect exchange rate. And [06:09] then it's about understanding how those [06:11] exchange rate movements affect real [06:13] activity. Okay? [06:15] In the short run. [06:16] That's what the Mundell-Fleming model [06:18] is. So it is really we're going to go [06:20] back to our old IS-LM model. Very short [06:24] run. We're going to even fix nominal [06:25] prices and so on. So back to that [06:28] environment. But we're going to do it in [06:29] an open economy so we're going to have a [06:31] new variable floating around which is [06:33] the exchange rate. And and and we need [06:35] to understand how the exchange rate [06:36] moves when you different things happen [06:37] in different countries. And the and and [06:40] what is the impact of that on aggregate [06:42] demand and hence in on output. We're [06:44] talking about the very short run [06:46] in the different parts of the world. [06:48] Okay? That's the plan. That's what we [06:50] intend to [06:52] So let's start with the this [06:53] Mundell-Fleming model. Remember we we [06:56] wrote down [06:57] uh the equilibrium in the goods market [07:00] in the previous lecture and and and [07:02] that's that's I'm just reproducing what [07:04] I wrote in the previous lecture. So it [07:06] looks exactly like the closed economy. [07:08] Output is determined by aggregate [07:09] demand. But it's aggregate demand for [07:11] domestically produced goods. [07:13] Domestically produced goods is now the [07:15] is not the same as domestic demand [07:18] for goods which is this. Because now [07:20] there's a net export term. So part of [07:22] the things that the that [07:25] residents sort of demand they they [07:27] demand from the rest of the world, not [07:29] from domestic producers. [07:30] And at the same time part of the demand [07:32] perceived by domestic producers comes [07:34] from the rest of the world, from [07:35] exports, not from domestic producers. So [07:37] that's the reason we got an extra term [07:38] here which is this net exports. [07:41] And we said this net exports is a [07:43] function of three things. [07:44] It's a function of output. [07:47] Okay? [07:49] And it's a it's a decreasing function of [07:51] output. Why is that? [07:53] Of domestic output. [07:57] Domestic output, domestic income. Why [08:00] isn't that decreasing function of [08:01] domestic income? [08:08] Why do net exports decline when domestic [08:10] income rises? [08:17] They buy they import more. They consume [08:19] everything more but part of that is [08:20] imports. [08:21] And so part of that energy of the extra [08:23] demand goes to foreign goods and that's [08:26] what deteriorates net exports. Okay? And [08:28] that's the reason we said had Had we [08:30] just stopped there, made the net export [08:32] function just a function of output, we [08:34] would have not needed all this extra [08:36] apparatus that I'm about to build [08:38] because all that would have meant is [08:39] that just we have a smaller multiplier. [08:42] It would have been exactly the same as [08:43] we did in the closed economy but with a [08:45] smaller multiplier because you know, [08:47] every time an output goes up now part of [08:49] that demand goes to foreign goods rather [08:51] than domestic goods. [08:54] But it's not so. [08:56] First because we have an extra another [08:59] income that matters here which is the [09:00] income of the rest of the world. [09:03] Uh but more important because we also [09:05] have an exchange rate. But let's start [09:06] from this side. So net exports is [09:09] increasing in the income of the rest of [09:10] the world. Why is that? [09:15] That is demand for domestically produced [09:17] good rises when foreign income goes up. [09:22] Foreign output foreign income goes up. [09:23] Why is that? [09:29] It's a symmetric argument, no? [09:31] If with with imports, well [09:34] our exports are the imports of the other [09:36] country. So if the income in the other [09:39] country goes up then their their imports [09:42] will go up which is our exports that go [09:44] up. That's the reason net exports uh [09:47] goes up. [09:49] And the last term [09:51] remember [09:52] uh is that says that net exports is [09:56] declining [09:57] on the real exchange rate. [09:59] Why is that? [10:05] What happens when the real exchange rate [10:06] goes up? [10:07] Net exports are going to be more [10:08] expensive relative to foreign goods. [10:10] Exactly. Our goods become more expensive [10:12] relative to foreign goods and that [10:13] affects us from two dimensions. First, [10:15] our exports will tend to decline because [10:17] our goods are more expensive and also [10:20] our imports are going to tend to [10:21] increase because foreign goods are [10:23] cheaper. Okay? And so that's the reason [10:25] this [10:27] is decreasing with respect to the [10:28] exchange rate. [10:30] The big thing of the Mundell-Fleming [10:31] model really comes from the fact that [10:33] this guy is there. We Had we not had the [10:36] exchange rate there, again we could have [10:37] used exactly the same apparatus as we [10:39] used [10:40] earlier on. [10:41] But we're going to have an exchange rate [10:42] floating around and that will require us [10:44] that to to build more [10:47] a little more. We need an extra [10:48] equation, you know, because we have an [10:50] extra endogenous variable. [10:52] Now, what I'm going to assume here [10:54] as we did in in in the first part of the [10:56] course is that both the domestic and [10:59] foreign prices are completely fixed. So, [11:00] I'm going to ignore Phillips curve, [11:02] inflation, expected inflation and all [11:03] that. Okay? I'm going to assume all that [11:05] is zero. Expected inflation, inflation, [11:08] zero. [11:09] When I do that, [11:11] the same equation, the equilibrium in [11:12] the goods markets, [11:14] changes a little bit. I mean, it's the [11:16] same equation, but now I don't need to [11:18] differentiate between real interest rate [11:20] and nominal interest rate because [11:21] inflation is zero. So, nominal interest [11:23] rate is equal to the real interest rate. [11:25] So, I'm going to stick in here the [11:26] nominal interest rate. [11:27] Second, I really don't [11:30] need to differentiate between real [11:31] exchange rate and nominal exchange rate [11:34] because the relative prices, the prices [11:36] themselves are not changing and so all [11:38] that will move the the real exchange [11:40] rate is the nominal exchange rate. Okay? [11:42] So, that's the reason I'm going to write [11:44] here the the nominal exchange rate [11:47] is because it's the only thing that will [11:49] move this variable around given that [11:51] prices are fixed. [11:53] Okay? [11:54] So, that's my our equilibrium in the [11:56] goods market and this is the thing you [11:58] need to compare with, you know, lecture [11:59] three or something like that. And as I [12:01] said, this part here only lowers the [12:04] multiplier, so not a big change. This [12:06] one here is an extra parameter that [12:08] shifts [12:09] aggregate demand up and down, so you can [12:11] treat it almost like we treated C0. [12:13] Remember, if the consumer confidence [12:15] goes up, then aggregate demand goes up. [12:17] Well, here we have sort of the rest of [12:19] the world's output goes up. It does [12:21] exactly the same the same analysis. [12:23] The problem we have though is that we [12:24] have an extra variable here, which is [12:26] the exchange rate and that's an [12:27] endogenous variable. Okay? So, we're [12:30] going to have to come up with some other [12:32] equation [12:33] to solve for that equation here. In in [12:36] lecture three or four, what we did is, [12:39] okay, we said we have two endogenous [12:40] variables, output and the interest rate [12:43] if we output and the interest rate, we [12:45] need one more equation. Well, the other [12:47] equation was just monetary policy that [12:49] set the nominal interest rate. [12:51] Here, that's not going to be enough [12:53] because we also have an exchange rate [12:55] floating around. Okay? So, and we need [12:57] to bring another equation here [12:59] uh [13:01] to deal with this this new endogenous [13:03] variable. [13:05] What is that extra equation? [13:07] Well, is the uncovered interest parity [13:09] condition. Remember, it's the last [13:10] expression we had in in in the previous [13:13] lecture [13:14] uh [13:15] that takes this form. [13:18] Okay? It says [13:20] I Before I simplify lots of things, I [13:22] wrote this down. [13:24] And it says that the exchange rate [13:26] is uh [13:28] is equal to that. Okay? [13:31] Now, what what is this [13:33] Where does this equation come from? [13:36] What is it trying to do? [13:39] Remember, we talked we we talked about [13:41] this in the context and say, well, you [13:43] know, when you open goods markets and [13:45] you need a relative price to decide [13:46] where you're going to buy. [13:47] That's what what [13:50] the real exchange rate did. [13:52] And and and now that then then we opened [13:55] the capital account and then you need to [13:56] people need to decide where they're [13:58] going to invest their money. And that [14:00] equation was related to that. [14:03] The expected rate of return has to be [14:05] the same for like domestic Exactly. It's [14:06] what equalizes expected rate of return. [14:08] In equilibrium, that has to happen. [14:10] Okay? Again, in reality, there is risk [14:13] adjustment, there is lots of other [14:14] factors that we're removing from here. [14:16] But absent those other factors, [14:19] the the returns have to be similar in [14:20] both places because if one asset is [14:22] giving more return than the other [14:23] expected return, then then then people [14:25] are going to invest all their portfolios [14:27] in that asset. And what happens is those [14:29] flows that try to go to the worst those [14:32] assets that give the highest return and [14:33] that equalizing expected return in [14:35] equilibrium. [14:36] And that's the equation that does that. [14:39] Exactly that. How do I know that? Well, [14:42] remember, [14:43] uh I can divide this by the exchange [14:46] rate on both sides and then what you get [14:48] is one [14:50] equal to a numerator that has the [14:52] nominal exchange rate [14:54] times the expected appreciation of the [14:57] currency plus [14:59] and in the denominator you have the the [15:01] the foreign interest rate. [15:03] And so, you have to when you compare the [15:04] two, you have to compare [15:06] one [15:07] base interest rate, either the domestic [15:09] or the foreign, plus the expected [15:11] appreciation or depreciation of that [15:12] currency. And that's what this term is [15:14] doing here. [15:15] This divided by that. Okay? [15:19] Good. So, what do we get out of this? Uh [15:21] one thing we're going to do for for [15:22] quite a while because it will simplify [15:24] things a lot, but sometimes also lead to [15:26] confusion in in in in [15:31] in the way we understand why currencies [15:32] depreciate or appreciate, but we will [15:35] pause and and I'll remind you of this [15:37] repeatedly. We're going to assume for [15:39] now [15:40] that the [15:41] expected exchange rate for T plus one is [15:44] fixed. [15:45] Okay? And and until I tell you [15:47] otherwise, [15:49] we're going to make this assumption. [15:53] Now, [15:54] that's a huge simplification, completely [15:56] unrealistic, and so on. But it will help [15:59] me explain the mechanism. [16:01] I mean, one of the things that moves [16:02] exchange rates a lot is that people have [16:04] lots of expectations about future [16:05] exchange rate. We'll get to that later. [16:08] But for now, so you understand the [16:10] mechanism, how the Mundell-Fleming model [16:12] works, [16:13] I'm going to assume that we all know [16:15] what the expected exchange rate We all [16:17] We all have a common expected exchange [16:18] rate and it's fixed. [16:20] Okay? [16:22] We may move it as a parameter, but I [16:24] won't say I'm not going to endogenize [16:26] that. I'm going to take it as fixed [16:28] and I I may move it around to show you [16:31] what happens when that changes, but I'm [16:33] not going to endogenize it. [16:35] Okay? [16:38] Otherwise, I need more equations. [16:39] One more. I want to stop this this this [16:43] sequence of equations that I would have [16:45] to build, but [16:47] later we'll understand more that what I [16:49] just said, but but for now, just take [16:51] this as fixed. So, if I take this as [16:53] fixed, now I have an equation. Remember, [16:54] we was looking for an equation [16:57] here for my exchange rate. [17:00] Once I do that, then I have what I [17:01] wanted. [17:02] I have an equation for my exchange rate [17:04] today. It's just [17:06] function of [17:07] domestic interest rate, international [17:08] interest rate, [17:10] and the expected exchange rate. [17:12] Okay? [17:13] So, I know the following, for example. I [17:15] know that an increase in the domestic [17:17] interest rate, [17:18] other things equal, [17:20] appreciates exchange rate. You know, I [17:22] can see it in the equation. If I move [17:23] the domestic interest rate up, the [17:25] exchange rate goes up. That's an [17:27] appreciation. The dollar becomes [17:29] more expensive. [17:31] Even simpler. Suppose we start with a [17:33] situation in which the domestic and the [17:36] international interest rate were the [17:37] same. [17:38] And now I increase the international [17:40] interest rate. And I'm saying the [17:41] exchange rate will appreciate. [17:45] Well, first of all, [17:47] let me let me start from something even [17:48] simpler. Suppose that [17:50] suppose that that [17:52] this interest rate is equal to [17:53] international interest rate before [17:55] analyzing the change I'm about to [17:57] analyze, [17:58] then from this equation, what do I know [18:00] I know about the exchange rate? What is [18:02] it equal to? [18:03] If the domestic interest rate is equal [18:05] to international interest rate, [18:07] what is the exchange rate today equal [18:09] to? [18:12] The expected exchange rate of next year. [18:14] If I have the same interest rates, I [18:15] cannot expect a capital gain or loss on [18:17] the currency position because I have [18:19] already an equal interest rate in in the [18:21] two bonds. Okay? [18:23] So then, I'm starting from a situation [18:25] where the current exchange rate is equal [18:27] to expected exchange rate and these two [18:28] are equal. And now, I'm going to [18:30] increase the interest rate, the domestic [18:32] interest rate. [18:33] And it's very easy for you to read from [18:35] here that the exchange rate will go up. [18:38] The currency will appreciate. [18:40] Why? [18:42] This is not an easy [18:43] thing to answer unless you know [18:46] unless you have read the book or [18:47] something. [18:50] If the interest rate goes up, then like [18:53] money supply should go down, which would [18:54] generally increase the value of money. [18:56] No. [18:57] No money here. [18:59] That money is only related to the [19:00] mechanism we used to increase [19:03] interest rate, but [19:04] I'm saying just use that equation [19:07] and the logic behind that equation, the [19:09] uncovered interest parity. [19:10] Why is it that if I you know, we went to [19:13] from a situation which interest rate [19:14] were the same, now I increase the [19:16] domestic interest rate, I'm saying the [19:18] the exchange rate has to appreciate. [19:23] No, no, but that's the description of [19:25] Yeah, that's that's We know that. [19:27] The question is what? What is the logic? [19:32] Yeah, [19:33] we have We know the result, but I'm [19:35] asking is for an economic explanation [19:37] for that result. [19:40] More people will want to invest in the [19:43] currency that you are in currency, so [19:44] the demand will go up and so the value [19:46] Well, if you go to Wall Street, you want [19:48] to rate, they will explain it in those [19:49] terms. [19:50] It's not the right explanation, but they [19:52] they will explain on those terms. And [19:54] there is some logic behind that because [19:57] this equation assumes that the arbitrage [19:58] happens instantaneously. Immediately [20:00] things move. But, but before that [20:02] happens, you know, some people will [20:03] start they buy more of the one that has [20:06] more return. But, this equation already [20:08] solved all that. [20:10] And that's when this assumption [20:13] matters and and is a little annoying. [20:15] It bothers me for a logical reason. But, [20:17] but we're going to use it to understand [20:19] the mechanism. [20:20] You see, if if I keep the exchange rate [20:23] fixed, we started with a situation where [20:24] the exchange rate was equal to expected [20:26] exchange rate. [20:27] If I keep it fixed [20:29] and I appreciate the currency today, [20:32] then what do I expect [20:34] to happen to the dollar, let's talk [20:36] about the dollar, from this period to [20:38] the next one? Remember, we start from a [20:40] situation where the exchange rate was [20:42] equal to the expected exchange rate. [20:43] Now, I increase the interest rate and I [20:45] said the exchange rate appreciate. [20:48] Then what do you expect [20:50] the exchange rate to do over the next [20:51] period? [20:53] If I haven't moved expected exchange [20:54] rate and now the exchange rate move [20:55] above the expected exchange rate. [20:58] What do you expect the exchange rate to [20:59] do? [21:03] Exactly, it has to depreciate. [21:05] So, the reason depreciation happens here [21:09] is because you need to expect to [21:11] depreciate the dollar from this period [21:13] to the next one. Why do I need to expect [21:16] exchange rate to depreciate? [21:20] So, I'm appreciating the currency [21:21] because I need in equilibrium I need to [21:23] expect to depreciate. That is, I need to [21:25] expect to lose money money on the [21:27] currency part of the trade. [21:30] Why is that? Confusion is good. You you [21:32] learn from that. [21:34] And this can be very confusing, I know. [21:40] What is this equation trying to do? [21:46] We are trying to make the expected [21:47] returns the same. That's the whole idea [21:49] of this. [21:50] So, if I I'm now telling you that one [21:53] bond is paying a higher interest than [21:55] the other one, [21:56] I need to [21:57] offset that somehow. [21:59] How do I offset it? By expecting a [22:02] depreciation of the currency [22:04] of the bond [22:05] that is, you know, of of the bond that [22:08] is denominated [22:10] in the currency that is expected to [22:11] depreciate. So, what I need to do is [22:14] compensate for the interest rate [22:16] differential with an expected [22:17] depreciation of the currency that is [22:18] paying [22:20] a higher interest rate. [22:22] So, that's what in this model when I fix [22:24] the expected exchange rate, the only way [22:25] I can do that is by appreciating the [22:27] currency today so I can expect it to [22:29] depreciate in the future. [22:32] That's the logic. [22:33] Okay? [22:35] Now, how what is the connection with [22:37] what in Wall Street what they will tell [22:38] you is to say, "Well, before this may [22:40] happen not instantaneously. It happens [22:43] somewhat slowly. So, traders immediately [22:45] will go to the US dollar [22:48] bond because they see that they have a [22:50] higher return." [22:52] And it will be the case until the [22:53] currency really appreciates. [22:56] The Once the currency appreciates [22:57] enough, then that that advantage [22:59] disappear. That's what this condition is [23:01] doing. It's making the expected return [23:02] the same. [23:03] But, in the process of the exchange rate [23:05] going from the initial exchange rate to [23:07] to to the new [23:08] equilibrium exchange rate, there may be [23:10] an opportunity there. And that's when [23:11] you start seeing these flows. Okay? [23:14] That happens very very fast. But, that's [23:16] when you can see some of those flows. [23:24] I mean, in these markets that happens [23:25] very very quickly. So, what is typically [23:27] wrong is that then an analyst comes and [23:29] tells you explaining a story why the [23:30] exchange rate is going to continue to [23:31] appreciate, well, that's just way too [23:33] late. You're already in this [23:34] environment. You lost the trade. [23:36] Okay? [23:41] Okay. [23:42] What about an increase in the foreign [23:44] interest rate, I star? [23:47] So, an increase in the foreign interest [23:48] rate is Let's start from the same [23:50] situation we had before. We start from [23:51] interest rate equal to international [23:53] interest rate. Therefore, the exchange [23:55] rate is equal to expected exchange rate. [23:56] And now [23:58] the [23:59] foreign interest rate goes up. [24:01] Okay? What is going on now in the US? [24:03] The US is sort of stabilizing here and [24:05] and and Europe is beginning to hike a [24:08] little more than the US. [24:10] So, [24:12] we know from the equation that that [24:13] means the exchange rate will [24:16] fall. That is, will drop here. So, that [24:18] that means [24:19] the exchange rate is depreciating. The [24:21] dollar is depreciating. [24:23] Why is the dollar depreciating? [24:30] It's the same mechanism. Like [24:32] the exchange rate you previously said [24:34] was facing like ET with the interest [24:36] rate starting Yeah, that's correct. [24:39] I mean, the the issue here in terms of [24:41] the economics is that [24:43] remember, if we start from the same [24:44] interest rate and now [24:46] all the lines I'm giving you doesn't [24:48] need to start from the same interest [24:49] rate. It's just a lot simpler to start [24:50] from the [24:51] from the same interest. But, suppose we [24:53] start with the same interest rate and [24:54] now I increase this one, [24:56] then that means the foreign bond is [24:57] paying a higher interest rate than the [24:59] domestic bond. I need to equalize the [25:01] expected returns. The only way I can do [25:03] that is by having an expected [25:05] appreciation of the dollar. [25:08] Since the expected exchange rate we fix [25:09] it here, the only way I can give you an [25:11] expected appreciation of the dollar is [25:12] to by depreciating the dollar today. [25:16] Okay? [25:18] So, this is the same mechanism, the same [25:19] logic. It's symmetric. [25:21] That's That's the mechanism. [25:24] Now, is this true that in the very short [25:25] run [25:26] when when I star goes up and and I [25:29] doesn't move, then lots of people go and [25:31] buy foreign bonds and that produces sort [25:32] of, you know, demand for euros and blah [25:34] blah blah blah. But, that's very quick. [25:37] Machines do it for you now. So, [25:40] it happens very quickly. [25:43] So, this equation shows you what happens [25:45] after all that mess has already cleared. [25:47] Which happens in milliseconds now. [25:53] Okay. [25:56] What What if I change the expected [25:58] exchange rate? So, again, I'm fixing it, [26:00] but I can move it around. I'm treating [26:02] it as a parameter. When I say that I fix [26:04] it, [26:05] I just don't want to endogenize. I don't [26:07] want to make it another endogenous [26:08] variable. [26:10] So, what happens here if the exchange [26:11] rate we start with the same situation we [26:13] had before and now the expected exchange [26:14] rate goes up. Well, from the equation [26:16] it's very clear. [26:17] The current exchange rate immediately [26:19] rises. [26:21] One for one, in fact. Okay? If I have [26:23] the these two interest rates are the [26:24] same and now I move the expected [26:26] exchange rate up, then the current [26:28] exchange rate immediately jumps. [26:31] So, this If we expect the dollar to [26:33] appreciate in the future, [26:35] then it appreciates today. [26:37] Why is that? [26:40] Expectations are very powerful in [26:43] financial assets in general. This is the [26:44] first time you come but and we'll talk a [26:47] lot more about that in the [26:49] next week. But, [26:51] but you can see it here. [26:53] So, if I move the exchange rate today [26:55] up, [26:56] the expected exchange rate means we [26:58] expect the exchange rate to be, you [26:59] know, today the dollar is is 90 cents on [27:04] 90 cents [27:05] 0.9 euros per dollar. [27:07] Well, suppose I expect [27:09] 1 euro per dollar in the next period. [27:12] What will happen to the exchange rate [27:13] today? Well, it jumps today to one. [27:16] Why is that? [27:24] The dollar will be more expensive to buy [27:26] there. So, people will [27:28] Okay, that's that's your friend the [27:30] trader there. Okay? But, [27:36] yes, [27:39] that's true. [27:42] That's true. What does that mean? [27:46] No. [27:48] It is true it's more expensive, but why [27:49] would Why did you want to buy it in to [27:51] start with? I mean, who cares that [27:53] something is more expensive if you are [27:54] not planning to buy it? [27:59] Um because the the current price is only [28:02] also taking into account future prices. [28:04] That's what the question says. [28:07] So, um because it gets part of its [28:09] cuz it it's value at the present moment [28:12] takes into account [28:13] some of its value in the future. I I You [28:15] know, whenever we we This is an [28:16] arbitrage type relationship. And what I [28:19] suggest is whenever you come across an [28:21] arbitrage type argument, [28:23] you ask the question, "Well, suppose [28:25] not." [28:27] Suppose this didn't happen. [28:29] What would then happen? What would look [28:31] odd? [28:32] Okay? That's Almost any arbitrage that's [28:34] a good way of thinking about this. It's [28:36] okay. The equation tells me that the [28:38] exchange rate has to jump right away. [28:40] Well, suppose not. What goes wrong? [28:44] That's I I think that's the way the [28:46] the easiest way to think about any of [28:48] these things, asset pricing in general, [28:49] by the way. [28:52] Well, suppose not. Suppose the expected [28:54] exchange rate goes up, the interest [28:55] rates haven't changed, and the exchange [28:57] rate today doesn't move. What happens [28:59] then? [29:00] Remember, we start in a situation with [29:02] both interest rates are the same. [29:05] Now, the expected exchange rate went up [29:07] by 10% say, [29:10] and uh [29:12] the current exchange rate hasn't moved. [29:16] I'm sure that between the two you can [29:17] design this trade. [29:19] What do you do? [29:25] Everyone will buy foreign bonds in like [29:27] the next period. [29:29] No one will in the first period. [29:33] Uh No, no, but what do you do today? [29:38] Suppose it's you're not a trader and and [29:40] then now you see, "Whoops, the exchange [29:43] the dollar will appreciate 10%, the [29:44] interest rates are the same, and the [29:46] exchange rate is not moving today, what [29:47] do you do? [29:58] Which bond do you buy? [30:05] Of course, because you have a 10% [30:07] expected capital gain from buying that [30:08] bond. If that doesn't happen, the both [30:10] the two bonds are paying the same [30:12] interest rate and now I tell you, well, [30:13] yeah, but one is going to appreciate by [30:15] 10%. [30:16] Relative to the other, okay? So, clearly [30:19] that you go short massively the foreign [30:21] bond and you go very long the US bond. [30:23] That's what you do. [30:25] We all want to do the same, so happens [30:26] very quickly. [30:28] And the exchange is appreciated today [30:31] up to a point in which that that [30:33] incentive is no longer there. [30:35] And that in this particular case, if the [30:37] interest rate are the same, that will [30:38] happen only if the exchange rate today [30:40] jumps exactly by the same amount as [30:42] expected appreciation of the [30:44] expected value of the [30:46] dollar [30:47] changing the future. Okay? [30:50] Good. [30:51] Think about this. Play with these [30:52] things. I know it can be confusing, but [30:54] and I [30:55] always start with, let me move [30:57] something. [30:59] The equation tells me this is what it [31:00] has to happen to the exchange rate. [31:02] Well, suppose that didn't happen to the [31:03] exchange rate. [31:05] And then you say, oh, then I clearly [31:07] invest in this bond. This dominates the [31:08] other one. Well, that condition tells [31:10] you, no, no, in equilibrium, you have to [31:13] be indifferent. So, so the only thing [31:15] that can move is the exchange rate. [31:17] And the exchange has to move until you [31:18] are indifferent again. [31:20] After you have done some change to some [31:22] argument on the right hand side, okay? [31:24] That's the way you need to think about [31:26] this. [31:27] So, [31:29] I here I'm just plotting [31:33] uh this this relationship [31:35] in the space of exchange rate in the [31:37] x-axis and the domestic interest rate [31:40] here. Okay? [31:42] So, that's an upward sloping [31:44] relationship. You You can see here as I [31:45] move the interest rate up [31:47] or the other way around, but anyways, as [31:49] I move the interest rate up [31:51] the exchange rate is going up. So, [31:52] that's a positive relationship. [31:54] I can do it the other way around. As I [31:56] move the exchange rate up, then the [31:57] domestic interest rate has to go up. I'm [31:59] taking as parameters [32:01] the foreign interest rate [32:03] and and and the expected exchange rate. [32:05] So, if I take as parameter this and that [32:08] then I have a positive relationship [32:09] between the exchange rate [32:10] and the domestic interest rate, okay? [32:13] So, that's going to be the [32:14] I'm plotting the UIP uncovered interest [32:17] parity condition. [32:19] Notice this point here is interesting. [32:21] This point tells you that when the [32:23] domestic interest rate I is equal to the [32:26] international interest rate [32:28] then the exchange rate has to be equal [32:31] to the expected exchange rate, which is [32:33] the question I asked before. [32:35] Remember, I asked you a question, what [32:36] suppose that we start with an interest [32:38] rate [32:39] that is equal to the international [32:40] interest rate. [32:42] Uh uh [32:43] what the exchange rate what is the [32:45] exchange rate? And you said the answer [32:46] was, well, it has to be equal to the [32:48] expected exchange rate. That's that [32:50] point here. [32:52] Okay? [32:53] If the interest rate domestic interest [32:55] rate is above that [32:57] the international interest rate [32:59] then the exchange rate [33:01] today has to be above the expected [33:03] exchange rate because that will give you [33:05] expected depreciation of the currency, [33:07] which will compensate for the fact that [33:09] the domestic bond is paying a higher [33:11] interest rate than international bond. [33:13] Okay? [33:15] Conversely, if if the domestic bond is [33:17] paying a lower interest rate, then the [33:19] exchange rate today is very depreciated [33:21] because you have to expect it to [33:23] appreciate in order to compensate for [33:25] the interest rate differential. [33:27] Are we okay? [33:29] Probably not, but [33:32] this requires practice, I tell you. [33:34] Uh [33:40] Okay. [33:41] So, but now we have a [33:44] an equation for the exchange rate at [33:45] least. [33:46] So, I can go back to my I yes I I yes is [33:50] the IS equation in the open economy. [33:52] And now I have an equation for the [33:53] exchange rate, so I can replace it. [33:56] This is nice because I I'm I have two [33:58] new parameters, expected exchange rate [34:01] and international interest rate, but now [34:02] this is also function of the interest [34:04] rate. So, at this moment I have one [34:06] equation in two unknowns really after I [34:08] solve out for the exchange rate. I have [34:10] one equation and two unknowns. The two [34:11] unknowns are output and the domestic [34:13] interest rate. [34:15] All the rest are parameters. [34:17] So, that's the same situation we were at [34:19] in lecture three or so. [34:21] So, then we need an extra equation. [34:24] The extra equation was monetary policy, [34:27] the LM. [34:28] We're going to do exactly the same here. [34:31] Okay, the LM is the same. It's the [34:32] domestic central bank [34:34] sets the interest rate. So, now I'm set. [34:37] Now we have the IS-LM model in the open [34:40] economy. This is the Mundell-Fleming [34:42] model, okay? That's what the [34:43] Mundell-Fleming model is. [34:45] So, [34:47] just a more complicated IS [34:50] with a [34:52] UIP [34:55] uh uh um driven exchange rate [34:59] and then the LM is the same as in the [35:00] closed economy. [35:03] Okay? [35:05] So, this is the Mundell-Fleming model. [35:09] So, notice that that So, one thing we [35:12] know already, we knew from the previous [35:14] lecture that that we have a smaller [35:17] multiplier in the open economy because [35:18] we have the imports that are also [35:19] responding to output. We have a new [35:21] parameter. [35:22] But now we also know that [35:24] an increase in the interest rate, so [35:26] monetary policy in the open economy has [35:28] two effects now. It used to have only [35:30] this effect. Remember, it affected the [35:32] domestic investment. So, an increase in [35:33] the interest rate [35:35] would lead to [35:36] uh um [35:38] a reduction in aggregate demand because [35:40] investment would fall. [35:42] Remember, that's what was the role of [35:43] the interest rate. [35:44] That's the way monetary policy worked in [35:46] the closed economy. It was through this [35:48] channel here. [35:50] Now we have a second channel, which is [35:51] this one. [35:54] So, when the interest rate goes up [35:57] it's contractionary for two reasons. [35:58] One, for the reason we had before, which [36:00] is that investment falls. But there is a [36:02] second reason it's contractionary. [36:06] What is that second reason? [36:18] I mean, it's only here. It's only second [36:21] Yeah. [36:23] It's because it appreciates the exchange [36:24] rate. And when you appreciate the [36:25] exchange rate, net exports decline. [36:27] Okay? So, more of the domestic [36:28] consumption is diverted to foreign goods [36:31] and less of foreign demand is is [36:34] allocated to our exports, okay? So, [36:37] that's the second channel. So, in an [36:38] open economy and the smaller is the [36:40] economy, the more important is this [36:41] term, the more powerful is that channel. [36:45] Okay? [36:53] The US cares very little about this [36:54] effect. [36:56] Most of the economies care a lot about [36:58] this effect, okay? [37:01] Because the US is a relatively closed [37:03] economy, believe it or not. [37:05] So, [37:06] this is sort of the start diagram of the [37:08] Mundell-Fleming model. [37:11] So, this thing here is our old IS-LM [37:14] model. [37:15] It's just that this IS is a little [37:17] thicker now. It has net exports in there [37:19] and so on, but it looks exactly the [37:20] same. That is [37:22] plots equilibrium in financial and and [37:24] and and the goods market [37:27] the combinations of output and domestic [37:29] interest rate that are consistent with [37:31] equilibrium [37:32] in in both markets. That's the case [37:34] here, okay? [37:36] This is the IS, which is all the [37:37] combinations of [37:39] domestic output and domestic interest [37:40] rate that are consistent with [37:41] equilibrium in goods market. [37:44] This is the interest rate that is [37:45] consistent with equilibrium in financial [37:46] markets. That's what the Fed does in the [37:48] US. [37:49] Uh that point is where both markets are [37:53] in equilibrium. [37:54] But we can take this interest rate. So, [37:55] that's what will happen. The interest [37:57] rate will be there in the US. The [37:58] interest rate is set by the Fed, not by [38:00] the ECB. The Fed will set the interest [38:02] rate. [38:03] That will give us some equilibrium [38:04] output. [38:06] And then we can go to the UIP condition, [38:08] you see I'm plotting here, and figure [38:10] out what the exchange rate is. [38:13] Because for this interest rate here [38:15] there's going to be some point in the [38:16] UIP [38:17] and that tells you exactly what the [38:19] exchange rate is. [38:21] Okay? [38:22] So, it with this set of diagrams I can [38:25] determine the interest rate, output, and [38:26] exchange rate. [38:31] So, I can study the effects of different [38:32] policies, for example, on output, the [38:35] interest rate, of course [38:37] that's the policy itself, and exchange [38:39] rate. So, this is the the new thing I [38:41] can explain. I can do a little bit of [38:42] asset pricing here. I can explain [38:45] the [38:46] the the behavior of the exchange rate as [38:48] well. [38:49] Okay? [38:52] So, this diagram, I mean, you need to [38:53] really control very very well. [38:55] So, that's what I'm going to play with [38:56] it [38:57] quite a bit. [39:00] Monetary policy. Let's do monetary [39:01] policy. We talked about monetary policy [39:03] already. [39:04] So, suppose that for whatever reason uh [39:06] the domestic economy [39:08] the domestic central bank [39:11] uh decides to hike interest rate. [39:13] Suppose the economy was overheating, [39:15] output was too high relative to natural [39:17] rate of output, [39:18] the typical reasons why you need to [39:19] raise interest rate. [39:21] And so, suppose that the domestic [39:22] interest rate goes up. [39:24] Well, as it used to be, that's going to [39:26] be contractionary. [39:28] What happens to the exchange rate? [39:31] Well, [39:32] I know the interest rate went up. [39:35] I go I look into my UIP for the higher [39:38] interest rate and in a current exchange [39:40] rate that is above [39:42] the old they has to go up relative to [39:44] all of them. When they When they [39:46] increase interest rate from here to [39:47] there, then my exchange rate has to [39:49] appreciate. [39:50] Why is that? [39:52] So, [39:53] an expansionary domestic monetary policy [39:56] will lead to a contraction in output, [39:58] which is what we get out of [40:01] uh [40:02] monetary policy, but it will also lead [40:05] to an appreciation of the currency. Why [40:07] is that? [40:13] That's what we just discussed. It's UIP. [40:15] If If I move the domestic interest rate [40:18] and the rest and the rest of world does [40:20] not follow me, so we move interest rate, [40:22] they don't, [40:23] then now I need to compensate for this [40:25] increase in the interest rate [40:26] differential and the compensation will [40:28] come through an expected capital loss at [40:31] through the currency. [40:32] So, if I appreciate more the currencies [40:34] and since I haven't moved the expected [40:35] exchange rate, I expect a larger loss [40:38] from the point of from the country's [40:40] from the currency side. Okay? [40:43] That's what it what has happened here. [40:45] So, that's what is behind depreciation. [40:47] And of course, the depreciation is [40:48] already built in here, [40:50] which is what uh [40:53] you know, [40:55] makes monetary policy more powerful than [40:57] the closed economy. Okay? Because you [40:59] get the net export channel, but that's [41:00] built in here. [41:04] Um [41:06] Okay, here all that I did is exactly the [41:08] same as we were doing in the last 30 [41:10] minutes. I just used this this UIP. For [41:13] whatever domestic reason, I need to [41:15] raise interest rate, [41:17] uh [41:18] you know, I have contractionary monetary [41:19] policy. Well, one of the effects that [41:21] you're going to get in an open economy [41:23] is that your currency will tend to [41:24] appreciate. [41:25] Okay? Good. [41:31] What about fiscal policy? [41:35] Well, [41:36] if the Fed doesn't follow, if the [41:37] central bank doesn't follow, [41:39] and you had an expansionary fiscal [41:41] policy, [41:42] then [41:43] uh that will increase output. [41:47] It has no effect on the interest rate, [41:49] therefore has absolutely no effect on [41:51] the exchange rate. So, an expansionary [41:52] fiscal policy, which is accommodated by [41:55] the Fed, that means the interest rate is [41:57] kept at the same level, [41:58] then does not lead to an appreciation of [42:00] the currency. It doesn't move the [42:01] exchange rate. It has no implication for [42:02] the exchange rate. [42:04] Okay? [42:08] Now, what about this change in output? [42:10] Is it larger or smaller than the one we [42:12] did in lecture three or four? [42:18] It's smaller. Why? Uh because part of my [42:20] increase in [42:21] like uh demand falls on the foreign [42:23] Exactly, because yeah, it goes to [42:25] import. Perfect. [42:26] Okay, good. So, this is a smaller than [42:28] it was in the closed economy and it had [42:29] but it has no impact [42:31] on uh the exchange rate. [42:35] That is, the UIP has nothing to do [42:37] with going on expenditure. It's all [42:40] about financial markets. It's about [42:42] expected returns, things like that. So, [42:44] unless the fiscal policy somehow affects [42:48] interest rate, [42:49] uh [42:50] then there's no effect. What may happen [42:53] is that, for example, is that that, you [42:55] know, Treasury becomes very expansionary [42:58] and this output becomes too large for [43:00] what is consistent with a [43:02] a zero output gap or no inflation, and [43:06] then the Fed may react and raise [43:08] interest rate, and that will lead to an [43:10] appreciation of the exchange rate and so [43:11] on. And that's the reason why in [43:12] practice, [43:14] when countries have sort of expansionary [43:16] fiscal packages, they the currency tends [43:18] to appreciate. It's because [43:20] investors expect the Fed to react to [43:23] that or the central bank to react to [43:25] that and raise interest rate. But if the [43:27] Fed says, "No, no, we needed that fiscal [43:28] expansion. I'm not going to move the [43:30] interest rate," then the exchange rate [43:31] won't move. [43:39] So, let's look at Let's use a little [43:41] more this model and and look at other [43:43] shocks within this model. [43:47] So, [43:48] let's start with Suppose that that uh [43:51] we increase the expected exchange rate. [43:53] What moves? [43:59] In this diagram. [44:04] Let's go cur- cur- Does the LM move? [44:16] No. The LM is controlled by the domestic [44:18] central bank, doesn't move. [44:20] Does the IS move? [44:25] When When I ask you whether it moves, [44:27] you you should always fix something. So, [44:29] you say, "Okay, let me fix the interest [44:30] rate." Say, pick the point like this [44:33] one, say. [44:34] And now I have to ask the question, [44:36] "What happens to output now that I have [44:38] moved the expected exchange rate?" If I [44:39] get the same output back, means the IS [44:41] hasn't moved. If I get a different [44:43] output equilibrium output, then I can [44:45] tell you that the IS did move. [44:48] So, what is the answer? [44:54] If the interest rate doesn't move, the [44:55] foreign interest doesn't move, and [44:57] expected exchange rate goes up, what [44:59] happens to the current exchange rate? [45:02] Appreciates. [45:04] What happens when when there's an [45:05] appreciation? [45:07] Net exports decline. [45:09] That means that moves the IS to the [45:10] left. Okay? So, so so this movement will [45:14] move the IS to the left as a first [45:16] effect. [45:18] What about the UIP condition? Will it [45:20] move or not? We have taken that as a [45:22] parameter. [45:23] Will it move? [45:26] I mean, remember, I gave you a clue [45:28] because I said we are taking these two [45:30] as parameters here. [45:32] So, if I move a parameter, most likely I [45:34] will move the curve. [45:36] Okay? [45:38] But in which direction will it move? [45:46] To the right. Yes, because for the same [45:49] interest rate, [45:51] now I need the exchange rate to move one [45:53] for one, the current exchange rate to [45:54] move one for one with the expected [45:56] exchange rate, you know? [45:58] So, this was the exchange rate before, [46:01] and now the expected exchange rate moved [46:02] to the right. Well, in order not to [46:04] generate expected capital gain or loss, [46:06] I have to move the current exchange rate [46:08] by the same amount. And so, that means [46:10] this curve will shift to the right. [46:13] Okay? What if I move foreign output? [46:17] Down. [46:18] What happens? [46:20] Which curve moves? Well, this is not a [46:23] parameter here, so this is not moving. [46:27] This is not a parameter here, so this [46:29] one is not moving. [46:30] Only one can move. The IS. Where? [46:34] It will move to the left because net [46:36] exports will decline. [46:38] Now, for any given level of the interest [46:39] rate, now we're going to have less net [46:41] exports and therefore the IS moves to [46:43] the left. So, output falls. But there's [46:45] no movement here. [46:47] Unless the Fed reacts to that, [46:49] the central bank reacts to that, it [46:51] won't happen. [46:53] Okay? [47:00] I mean, and and and it may well be the [47:01] case that you want to react to that. If [47:03] If the whole world goes into recession, [47:06] the US is very likely to lower interest [47:08] rates because, you know, [47:11] it's [47:11] it's very contractionary if the whole [47:13] world goes into recession. [47:15] When the US goes into recession, the [47:17] rest of the world everyone wants to cut [47:19] interest rates because the US is a big [47:21] player. So, so it really drags everyone [47:23] down. [47:24] Okay? [47:28] Good. [47:30] The last one and I'm I'm going to repeat [47:32] this in the next lecture is, well, what [47:34] happens if the if I a star moves up? The [47:37] foreign interest rate moves up. [47:39] Well, the LM doesn't move. [47:42] This one will move. [47:44] Which way? [47:45] Because that was a parameter here. [47:51] To the right? [47:54] You said to the right, that's right. [47:58] Okay. No. [47:59] So, so [48:02] Think what happened here. If the foreign [48:04] interest rate goes up, [48:05] at any given interest rate, now the [48:09] domestic bond is worse than otherwise. [48:12] So, I need to depreciate the exchange [48:14] rate [48:15] today [48:16] in order to [48:18] expect an appreciation. [48:21] Okay? [48:22] That means this curve moves to the left. [48:27] Okay? [48:30] Okay, it moves to the left because I [48:31] have to expect an appreciation [48:33] to compensate for the interest rate [48:34] differential. [48:37] So, this will move to the left. [48:38] What about this curve here? [48:43] We solve it in the next lecture. [48:49] Good.