[CROSSTALK] [NOISE] Can you explain the difference between a Forward, forward and a forward rate agreement? [SOUND] A forward, forward and a forward rate agreement, and a FRA, and I suppose we could call a forward also. The whol,this whole lecture, where I'm talking about, for, forward rates and the expectations hypothesis and all of that. Okay. The point of this lecture is to begin to build some intuition that we're going to use later on about derivatives. So, the for, forward interest parity. Calling it forward Interest Parity is I write it, 1 plus R 0 N, [SOUND] times 1 plus F N T, equals 1 plus R(0, T). Right? Yes. Okay, and the the point of this is to say, this is a, this is a an interest rate, this is eh, [UNKNOWN] that you can observe today okay, between time zero and time N. This is an interest rate that you can observe today between time zero and time T. Okay. And the point of the, the deep point behind all this, is that if you can borrow and lend at this rate, and borrow and lend at this rate. Now, of course there's going to be a bit as spread in there, but this came before we did market making, so let's just abstract from bit as spreads. So let's just think that you can borrow or lend at this rate. >> [COUGH] >> And you could borrow or lend at this rate. The point is that you can construct, okay, with these fundamental assets a, a forward a forward rate. You can, you ca, can construct the ability to borrow at time N and pay back at time T. Okay. And the way you would do that is, if you were a bank, okay, okay, you want to, if you had borrowing 1 plus R 0 no, borrowing. Put it on the other side. 1 plus R 0 T. So if you're borrowing for at, at, at, for this ti, this amount of time, and you're lending for this amount of time, okay, essentially what you're doing is you're expanding your balance sheet on both sides today, you're neither borrowing nor lending. Nothing's happening. Okay? you understand this notation? I'm saying this is, this is, this is a, term, T borrowing, okay? And this is term N lending. [SOUND]. Yeah, sometimes I make up weird notation that confuses people. So, so let me just be clear what that is. And so you're, eh, eh, at time zero, you're neither borrowing nor lending. Okay, but at time, N, okay, suddenly, this, you, you get money. Okay, that's what this, you know, this thing, this thing matures. Okay. And at time, T, you have to pay money, okay. Well what is that? You get money at time N, you pay it at time T. That's like borrowing it at time, at time N, and paying back at time T. So, you're creating a synthetic future loan, basically. By, by doing this long and short positions. >> [COUGH] >> Okay. And that is essentially borrowing at this rate. Okay? This is the rate, the forward rate is the rate you can lock in today using these existing instruments. Okay, and that's what forward interest parity says. Forward interest parity says that if you are trading, if you are just trading with people in the forward market, okay, this is the forward rate. The forward rate has to be this. It cannot be anything other than this because you could roll your own forward rate, okay, in these markets. [SOUND] Okay, that's the basic idea. Then, I think [UNKNOWN] it was, it was you that asked this question. Okay, so now you, you asked these specific questions about all these other things. All these other things are in that lecture. [LAUGH] To, to as, as examples, historical examples that are in, that are in, in stigham. About how the banking system, created different, it, it doesn't want to have, it doesn't want to use these synthetic structures. Okay, because it takes up balance sheet space. You know, if you had, if your balance sheet is expanding on both sides and you're not lending or borrowing, you're not making any money and you have fixed capital and you have fixed reserves, okay. And it looks like you're, you know, you're taking risk. and, and liquidity risk and solvency risk and all of this and the regulators aren't going to like that, your board of governors aren't going to like that, no one's going to like that, okay? So, and, so the, the attempt is to create instruments that have this effect that are just a if they, you are borrowing and lending but there is various levels of netting out. Okay, that are, that are happening and the our forward agreement nets everything out of, of, of but you actually you agree to do this thing you know our forward agreement says in three months,okay? I will lend you so much money and at such, such a rate, okay. A FRA is just a, is just a side bet on what, for rate agreement, is a side bet on what the interest rate will be three, three, months from now. Okay, so it's a sort of derivative contract. and a forward, forward, forward, forward was what? forward, forward is, I think, I think this was [UNKNOWN] forward, forward was in agreement was an agreement, to, I forgot what a forward, forward is. >> When the net principal payments are on the balance sheet, they're not zeroed out. >> Okay. There, there, but the point is all the three of these. Are, are different versions of, of this, where you're, where you're netting out principal payments or you're not, or you're netting out the interest payments or you're not. But the underlying, the underlying conceptual basis of it is all this. All of them are the, are doing the same thing. In different, in different ways. You can see all this very clearly. This, the reason I go to this effort, okay, [LAUGH], is that you can see all this very clearly when you're dealing with fixed income instruments and the money market and all of this. When you start to move into foreign exchange, when you start to move into credit default swaps, we lose our intuition. Okay, but, but it's the same intuition as this. So once we, if we really consolidate that, we're going to be happier after the midterm is the, is the idea, is the idea here.