What this equation merely says is that the present value of your remaining payments is always equal to the mortgage balance.

这个等式说明了,剩余偿还额的现值,就等于抵押贷款的余额

耶鲁公开课 - 金融市场课程节选

They subtract this from the purchase price of the house and then you've got the cash to go and buy another house.

他们从售房价格里减去这个贷款余额,然后你就可以得到现金去买另一个房子

耶鲁公开课 - 金融市场课程节选

Then the deal is that when you sell the house they subtract -you've got to pay this.

那么当你售出房子后,他们会从中减去,这个余额,这就是你要付给他们的

耶鲁公开课 - 金融市场课程节选

The mortgage payment was decided when you took out the mortgage, so that never changes; they than figure out what your mortgage balance is.

每月偿还额是一开始确定的,因此不变,这样就能算出当前的贷款余额

耶鲁公开课 - 金融市场课程节选

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

耶鲁公开课 - 金融市场课程节选

A peculiar property of this is that the mortgage balance falls slowly at first and then it gradually picks up; it's just a property of this formula.

其中一个特别的性质是,刚开始抵押贷款余额降得很慢,渐渐的,越降越快,这就是这个公式的性质

耶鲁公开课 - 金融市场课程节选

Then to get the monthly payment, you take the square bracketed thing and you divide by the mortgage balance and that's the monthly payment; that's how it's calculated.

如果要算每月偿还额,你用贷款余额,除以这个方括号的值,这样就得出每月偿还额,这就是每月偿还额的计算方法

耶鲁公开课 - 金融市场课程节选

It's very important to understand that the mortgage balance is recomputed, according to this formula every month and they will send you a statement showing how your mortgage balance is falling.

根据这个公式 抵押贷款余额,每个月都要重新计算,理解这一点非常重要,他们会给你寄对账单,告诉你抵押贷款余额减少的情况

耶鲁公开课 - 金融市场课程节选

Then they deal with the households by having a local office and telling people what their balance is and calling them up if they're not paying and that sort of thing.

他们还会建立地方办公室,以便处理后续事宜,告知人们,他们的贷款余额,如果没有按时还款,就给他们打电话,以及类似的事情

耶鲁公开课 - 金融市场课程节选

That's because, at the end, if- -suppose you're one month or two months away from the payoff of the mortgage, you don't have any balance left, so the interest that you're paying is -hardly any balance left--is very low and so you're payment is paying off principal, mostly.

这是因为,在最后,如果,假设你还剩1到2个月,就可以还清抵押贷款,那么剩下的贷款余额就很少了,因此你所需要付的利息,将会非常少,因为贷款余额几乎为零,此时你偿还的就主要是本金

耶鲁公开课 - 金融市场课程节选

At every point of time your mortgage balance is equal to your mortgage payment times that square bracketed thing, where T is the amount of time you have left.

在每个时间点的抵押贷款余额,都等于每月偿还额乘以,方括号内的值,T是剩余年份数

耶鲁公开课 - 金融市场课程节选