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eyn · 2024年11月04日

partially amortized

NO.PZ2023120801000007

问题如下:

Relative to a fully amortized bond, the coupon payments of an otherwise similar partially amortized bond are

选项:

A.

lower or equal

B.

equal

C.

higher or equal

解释:

Correct Answer: C

Except at maturity, the principal repayments are lower for a partially amortized bond than for an otherwise similar fully amortized bond. Consequently, the principal amounts outstanding and, therefore, the amounts of interest payments are higher for a partially amortized bond than for a fully amortized bond, all else equal. The only exception is the first interest payment, which is the same for both repayment structures. This is because no principal repayment has been made by the time the first coupon is paid.

partially amortized bonds相对于fully amotized来说,因为最后一期有一大笔现金流的归还,前期支付的本金较少, 所以coupon 也就是减少,为什么是更多呢?

2 个答案

笛子_品职助教 · 2024年11月06日

嗨,从没放弃的小努力你好:


partially amortized bonds 本金还的少, 为什么答案还是C呢 ? (Coupon payments higher)

Hello,亲爱的同学~

我们看题目的问题:

Relative to a fully amortized bond, the coupon payments of an otherwise similar partially amortized bond are

相对 fully amortized bond, partially amortized bond的利息(Coupon)高还是低。


从知识点,我们知道,partially amortized bonds 本金还得比 fully amortized bond少,剩余本金就多。

而Coupon是基于剩余本金计算的,因此partially amortized bonds 的Coupon,比fully amortized bond的Coupon,要更多。


所以对应选C。partially amortized bonds的Coupon是higher or equal。(大于等于,equal是一种特例,即first interest payment)。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

笛子_品职助教 · 2024年11月05日

嗨,爱思考的PZer你好:


Hello,亲爱的同学~

partially amortized bonds相当于在每期都在提前本金,但提前还本金的数量相对少。

而fully amotized,也是每期都在提前还本金,但提前还本金的数量相对多。


本金还得越多,那么剩下的本金就越少,而利息是基于剩余本金来计算的。

已经还进去的本金,就不会再被计算利息了。


因此:

本金还得快的,累计还的利息少,这是fully amotized。

本金还得慢的,累计还的利息高,这是partially amortized。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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