Whereas, at the beginning, the mortgage balance is dropping only very slowly because you've got a lot of interest to pay and your mortgage payment is constant.

而在贷款初期,贷款余款减少的则非常缓慢,这是因为还款额是固定的,同时你还要偿付大量的利息

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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

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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

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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