Introduction to the yield curve발음듣기
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Introduction to the yield curve
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출처 : 칸아카데미
Introduction to the yield curve
Welcome back.
Before we proceed further and get a little bit better understanding of why maybe some of these investors were so keen on investing in mortgage backed securities, essentially loaning this money to all these people who are buying these ever appreciating houses, I think we need to a few more tools in our tool belt.
So I'm going to introduce you to the concept of the yield curve.
You might have heard this before.
You might have heard people on CNBC talk about it.
And hopefully, after about the next five or ten minutes, you will know a lot about the yield curve.
So when most people talk about the yield curve, they're talking about the treasury yield curve.
And what does that mean?
What is even a treasury?
So these treasury securities, whether they're T-Bills, treasury bills, treasury notes, or treasury bonds.
These are loans to the federal government.
And these are considered risk-free.
Because if you lend to the federal government and they're running short of cash, all they have to do is increase taxes on us the people and they can pay back your debt.
So in dollar denominated terms, the treasury bills, notes, and bonds are about as safe as you can get in terms of lending your money to anyone.
So when most people talk about the yield curve, they're talking about the risk-free yield curve.
And they're talking about the curve for treasuries.
So first, a little bit of definitions.
What is the difference between treasury bills, treasury notes, and treasury bonds?
They're pretty much all loans to the government.
But they're loans for different amounts of time.
So if I give a loan to the government for $1,000 for six months, that will be a treasury bill.
So I will give the government $1,000, the government would give me a treasury bill.
And that treasury bill from the government is essentially just an IOU saying that I'm going to give you your money back in six months with interest. Similarly, if it's three months, it's a three month treasury bill.
Treasury notes are loans that are from one year to 10 years.
So on this graph that we're going to make using the actual yield curve rates, from zero to one year - and actually there's no zero year treasury bill.
Actually, the shortest one is one month.
This would be something like here on our graph.
So from one month to one year, these are T-bills.
And this is just definitional.
Then from one year to 10 year, these are notes.
Actually, I believe the one year itself is a note.
Up to one year is a bill.
Although, I might be wrong with that.
Correct me if I'm wrong.
That's just a definitional thing.
From one to 10 year, these are called notes.
And then when you go beyond 10 years, these are called treasury bonds.
These are just definitional things to worry about.
So with that out of the way, let's talk about what the yield curve is.
I'll just give you a simple thought experiment.
If I'm lending money to someone for a month versus lending money to that person for a year, in which situation am I probably taking on more risk?
Well, sure, if I'm lending someone for a month, I know only so much can happen in that month.
So I would expect to be paid less interest.
Not just obviously in dollar terms, but even adjusted for time, I would expect less interest for that month.
And this is actually an important point to make.
When I say that I'm charging 6% interest for that month, that doesn't mean that after a month the person is going to pay me 6% on my money.
It means that if I were to give that money to somebody for a month, and they were to pay it back.
And then I were to give that money to, say, that same person, or another person, for a month, and I were to keep doing that for a year, then in aggregate I would get 6%.
So that 6%, no matter what duration we talk about, whether one month, one year, five years, 15 years, when we talk about the interest rate, that's the rate that on average we would get for a year.
It's the annualized interest rate.
So going back to my question.
If lend someone money, even the government, for a month, there's usually less risk in that.
Because only so much could happen in a month versus in a year.
In a year there might be more inflation, the dollar might collapse, I might be passing on better investments, I might need the cash in a year's time, while I have a lot of confidence that I don't need the cash in a month's time.
So in general, you expect less interest when you loan money for a shorter period time than a longer period of time.
And so let's draw the yield curve and see if this holds true.
So I actually went to the treasury website, so that's treas.gov.
And this is the yield curve.
So they say on March 14, so this is the most recent number.
And I'm going to plot this.
They say, if you lend money to the government for one month, you'll get 1.2% on that money.
And remember, if it's $1,000 it's not like I'm going to get 1.2% on that $1,000 just after a month.
If I kept doing it for a year, this is an annualized number, I'll get 1.2%.
And so for three months, I get a little bit less.
And then for six months I get more.
And then it does seem that the overall trend is that I expect more and more money as I lend money to the government for larger and larger periods of time.
And this is a little interesting anomaly that you get a little bit more interest for one month than three months.
And we'll do a more advanced presentation later as to why you might get lower yields for longer duration investments.
That's called an inverted yield curve.
So let's just plot this and see what it looks like.
So you saw where I got my data.
So they say for one month I'd get 1.2%.
So this is one month.
It'd be right about here.
Three months I get about the same thing.
For six months I get 1.32%.
Maybe that's like here.
One year, I get one 1.37%.
Maybe it's here.
Five years, I get 2.37%.
So that's maybe like here.
And these aren't all of the durations.
I'm just for simplicity not going to do all of them.
For 10 years, 3.44%.
So maybe that's here.
For 20 years, I get 4.3%.
Like that.
And then for 30 years, I get 4.35%.
So the current yield curve looks something like this.
And so you now hopefully at least understand what the yield curve is.
All it is, is using a simple graph.
Someone can look at that graph and say, well, in general what type of rates am I getting for lending to the government?
On a risk-free free basis, or as risk-free as anything we can expect, what type of rates am I getting when I lend to the government for different periods of time?
And that's what the yield curve tells us.
And in general, it's upwardly sloping.
Because, as I said, when you lend money for a longer period of time, you're kind of taking on more risk.
There's a lot more that you feel that could happen.
You might need that cash.
There might be inflation.
The dollar might devalue.
There's a lot of things that could happen.
So the next question is, well, what determines this yield curve?
Well, when the treasury, the government, needs to borrow money, what it does is say, hey everyone we need to borrow a billion dollars from you, because we can't control are spending.
And they say we're going to borrow a billion dollars in one month notes.
So this is one month notes.
They're going to borrow a billion dollars.
And they have an auction.
And the world, investors from everywhere, they go in, they say, well, this is a safe place to put my cash for a month.
And depending on the demand, that determines the rate.
So if there are a lot of people who want to buy those one month treasuries, the rate might be a little bit lower.
Does that make sense to you?
Think about it.
If a lot of people want to buy it, there's a lot of demand relative to the supply.
So the government has to pay a lower interest rate on it.
Similarly, if for whatever reason people don't want to keep their money in the dollar, they think the U.S. might default on their debt one day, and not that many people want to invest in the treasury, then that auction,
the government is going to have to pay a higher interest rate to people for them to loan money to it.
So maybe then the auction ends up here.
And similarly, the government does auctions for all of the different durations.
And duration, I just mean the time period you're getting the loan for.
So they do it for one month, three months, six months, one year, two year, three year, et cetera.
Once the government has done that auction - You give the money to the government, they give you an IOU called a T-bill.
Then you could trade it with other people.
And that's going to determine the rate in the short term.
So the government does the auction.
But then after the auction, and a lot of people had demand, but then a lot of people get freaked out.
And the public markets, when you try to sell that treasury, will then expect. a higher yield.
I know that might be a little complicated now.
And I always start to jumble things when I run out of time.
But hopefully at this point you have a sense of what the yield curve is.
You have a sense of what treasury bills, treasury notes, and treasury bonds are.
And you have some intuition on why the yield curve has this shape.
See you in the next video.
번역
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Before we proceed further and get a little bit better understanding of why maybe some of these investors were so keen on investing in mortgage backed securities, essentially loaning this money to all these people who are buying these ever appreciating houses, I think we need to a few more tools in our tool belt.발음듣기
대기중
And hopefully, after about the next five or ten minutes, you will know a lot about the yield curve.발음듣기
대기중
So when most people talk about the yield curve, they're talking about the treasury yield curve.발음듣기
대기중
So these treasury securities, whether they're T-Bills, treasury bills, treasury notes, or treasury bonds.발음듣기
대기중
Because if you lend to the federal government and they're running short of cash, all they have to do is increase taxes on us the people and they can pay back your debt.발음듣기
대기중
So in dollar denominated terms, the treasury bills, notes, and bonds are about as safe as you can get in terms of lending your money to anyone.발음듣기
대기중
So when most people talk about the yield curve, they're talking about the risk-free yield curve.발음듣기
대기중
So if I give a loan to the government for $1,000 for six months, that will be a treasury bill.발음듣기
대기중
And that treasury bill from the government is essentially just an IOU saying that I'm going to give you your money back in six months with interest. Similarly, if it's three months, it's a three month treasury bill.발음듣기
대기중
So on this graph that we're going to make using the actual yield curve rates, from zero to one year - and actually there's no zero year treasury bill.발음듣기
대기중
If I'm lending money to someone for a month versus lending money to that person for a year, in which situation am I probably taking on more risk?발음듣기
대기중
Well, sure, if I'm lending someone for a month, I know only so much can happen in that month.발음듣기
대기중
Not just obviously in dollar terms, but even adjusted for time, I would expect less interest for that month.발음듣기
대기중
When I say that I'm charging 6% interest for that month, that doesn't mean that after a month the person is going to pay me 6% on my money.발음듣기
대기중
It means that if I were to give that money to somebody for a month, and they were to pay it back.발음듣기
대기중
And then I were to give that money to, say, that same person, or another person, for a month, and I were to keep doing that for a year, then in aggregate I would get 6%.발음듣기
대기중
So that 6%, no matter what duration we talk about, whether one month, one year, five years, 15 years, when we talk about the interest rate, that's the rate that on average we would get for a year.발음듣기
대기중
In a year there might be more inflation, the dollar might collapse, I might be passing on better investments, I might need the cash in a year's time, while I have a lot of confidence that I don't need the cash in a month's time.발음듣기
대기중
So in general, you expect less interest when you loan money for a shorter period time than a longer period of time.발음듣기
대기중
And remember, if it's $1,000 it's not like I'm going to get 1.2% on that $1,000 just after a month.발음듣기
대기중
And then it does seem that the overall trend is that I expect more and more money as I lend money to the government for larger and larger periods of time.발음듣기
대기중
And this is a little interesting anomaly that you get a little bit more interest for one month than three months.발음듣기
대기중
And we'll do a more advanced presentation later as to why you might get lower yields for longer duration investments.발음듣기
대기중
Someone can look at that graph and say, well, in general what type of rates am I getting for lending to the government?발음듣기
대기중
On a risk-free free basis, or as risk-free as anything we can expect, what type of rates am I getting when I lend to the government for different periods of time?발음듣기
대기중
Because, as I said, when you lend money for a longer period of time, you're kind of taking on more risk.발음듣기
대기중
Well, when the treasury, the government, needs to borrow money, what it does is say, hey everyone we need to borrow a billion dollars from you, because we can't control are spending.발음듣기
대기중
And the world, investors from everywhere, they go in, they say, well, this is a safe place to put my cash for a month.발음듣기
대기중
So if there are a lot of people who want to buy those one month treasuries, the rate might be a little bit lower.발음듣기
대기중
Similarly, if for whatever reason people don't want to keep their money in the dollar, they think the U.S. might default on their debt one day, and not that many people want to invest in the treasury, then that auction,발음듣기
대기중
the government is going to have to pay a higher interest rate to people for them to loan money to it.발음듣기
대기중
So they do it for one month, three months, six months, one year, two year, three year, et cetera.발음듣기
대기중
Once the government has done that auction - You give the money to the government, they give you an IOU called a T-bill.발음듣기
대기중
But then after the auction, and a lot of people had demand, but then a lot of people get freaked out.발음듣기
대기중
And the public markets, when you try to sell that treasury, will then expect. a higher yield.발음듣기
대기중
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