Then the--so the term structure was downward-sloping until about two and a half years and then it was upward sloping.
期限结构线先向下倾斜,在到期期限过了两年半的时点后,才缓慢回升
So, when the mortgage ends, you're just clear and free; you don't have to pay anything--nothing comes at the end.
因此,抵押贷款正好在到期时全部还清,贷款期末你不再偿还任何金额
At the end of the loan upon your payment of the principal and of sufficient additional interest, John Milton, Sr., the goldsmith, would return to you the gold that you had entrusted to him.
在贷款期限到期时,在你支付了本金,和额外的利息后,金匠约翰弥尔顿会把你托付,给他的金币还给你。
I had a napping for a very pushy phone call from a very pushy TFA recruiter on the deadline day-- I would not apply.
招聘到期日,固执的组织招募人员,打来电话,听电话时我差点睡着-,我本不会应聘。
Early in the course, in fact I think next week, we will discuss, no, later on in the course, in the middle of the semester, we will discuss an amazing case of Phineas Gage.
在这个课程的初期,实际上我认为下周我们就会讨论到,不,应该是晚些时候,大概到期中吧,我们就会讨论到一件关于,菲尼亚斯·盖奇的令人惊奇的病例
The First Bank of the United States was created in 1791 and they had a twenty-year charter which expired in 1811.
美国第一银行于1791年,建立并且它们有20年的许可证,到1811年到期。
You're given coupon payments every six months and then, when the bond matures,you get your money back.
每六个月你会收到一次利息,当债券到期,你可以赎回本金
Well, in '26, the-- i've shorted the one-period bond and so I have to pay out one dollar, but that's exactly what I wanted to do.
6年 我卖空的一年期债券到期了,我需要偿还一美元,不过这恰是我要做的
So, that's a funny property of conventional mortgages -that the mortgage balance declines very slowly at first and then it falls rapidly when it comes to maturity.
这是普通贷款很有意思的特性,即贷款余额在起初减少的非常缓慢,但随着到期日的临近,便会加速递减
Now what happens is, I now get the maturity of this bond.
现在两年期债券到期了
There have also been one hundred-year bonds and there have also been perpetuities that-- in the UK, for example, the British Consoles-- have no expiration date and they have infinite maturity.
还有更长期的一百年债券,还有一种永续年金,比如说英国的大英统一公债,没有过期日,永不到期
If you have a bond with an interest rate of 4.375% -that's not an easy one to divide by two but you would get half of that every six months until maturity.
如果你持有一种利率为4.375%的债券,这个数除以2有点难算,而在债券到期前,每半年你能得到4.375%一半的券息
You go to a bank and say, I want to borrow to refinance my mortgage, which is due now.
你去跟银行讲,由于现在的处境,我想再申请已到期的抵押贷款
So, I've got here a term structure; well, the term structure is the plot of yield-to-maturity against time-to-maturity.
我这有一张期限结构图,期限结构其实是,到期收益率与到期期限之间的关系图
The term structure is one of the most interesting things in economics because it shows the price of time at various maturities.
经济学中,期限结构是个有趣的话题,因为它揭示了不同到期期限的时间价值
The yield-to-maturity on an indexed bond is already in real terms because the coupons are indexed to inflation.
这种债券的到期收益率,就是实际收益率,因为票息已经被通胀指数化了
The shortest term debt instrument in the United States is the Federal Funds Rate, which is an overnight rate--one day maturity-- and the longest issued by the Government is a thirty-year government bond, which will be repaid three decades in the future.
美国最短期的债券,是联邦基金利率,隔夜拆兑,一天到期,而时间最长的国债,是一种三十年期的政府债券,未来三十年才兑现
Remember, I said I'm doing this because I expect to have a hundred pounds-- I said one dollar-- I'm going to have to pay out a hundred pounds because this one-period bond, worth one hundred pounds principal, is coming due so I have to pay it out.
回想一下,我说过我会这么做,是因为我会得到一百英镑,我口误说成了一美元,我将要偿还的数额是一百英镑,因为这张一年期,一百英镑面值的债券即将到期,于是我不得不将其支付
Now, you have to understand that when you buy a bond, if you buy it at issue, you get the first coupon in six months, the second coupon in one year, the third coupon in eighteen months, and the last coupon you get at the maturity date.
你们需要了解,如果在发行时就购入债券,六个月后会得到第一笔票息,一年后第二笔,18个月后第三笔,到期时得到最后一笔票息
This is years to go and so 12T would be the number of months to go before it ends.
也就是现在至到期日的年份数量,因此12T是现在至到期日的月份数
If you had a perpetuity, which paid C/2 forever, you already know from the perpetuity formula that the value of that would be C/2 divided by r/2 if r/2 is the discount rate.
如果你有一只永续债券,每半年付息C/2,没有到期日,从永续债券的公式可以知道,债券价格等于C/2除以r/2,r/2为贴现率
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