When you first bought the house they told you what the mortgage payment was and they're fixing that forever, well for thirty years.

最初你买这套房子的时候,他们已经告诉你每月偿还额是多少,在未来30年里这是固定的

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

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

耶鲁公开课 - 金融市场课程节选

If you can afford the mortgage payment, then you're all set.

如果你能负担起还款就可以安心了

耶鲁公开课 - 金融市场课程节选

How do they figure out what the mortgage payment is?

每月的偿还额如何计算呢

耶鲁公开课 - 金融市场课程节选

Your mortgage payment is constant through time but the fraction of it that goes to paying off principal versus interest changes through time and it just changes as dictated by this formula.

抵押贷款每月还款是固定的,但是其中本金和利息的比例关系,会随时间而改变,这是由这个公式所决定的

耶鲁公开课 - 金融市场课程节选

But if most people who are good borrowers, who know what they're doing, want these, they want a conventional thirty-year mortgage because it will fix a mortgage payment for the rest of the thirty years and you have nothing to worry about.

但是如果大多数人是优质借款人,他们知道自己在做什么,他们会选择普通30年期抵押贷款,因为在剩余的30年时间里,抵押贷款的偿付是固定的,你不需要为它担心

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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

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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