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台风来了 · 2023年07月20日

stated interest rate is greater than the effective rate, 这一句的理解?

NO.PZ2023040501000005

问题如下:

Information about Confabulated’s investment portfolio for the years ended 31 December 2017 and 2018 is presented in Exhibit 1. As part of his research, Howard is considering the possible effect on reported income of Confabulated’s accounting classification for fixed income investments.


*All securities were acquired at par value.

Confabulated’s reported interest income would be lower if the cost was the same but the par value (in € thousands) of:

选项:

A.

Bugle was €28,000.

B.

Cathay was €37,000.

C.

Dumas was €55,000.

解释:

The difference between historical cost and par value must be amortized under the effective interest method. If the par value is less than the initial cost (stated interest rate is greater than the effective rate), the interest income would be lower than the interest received because of amortization of the premium.

stated interest rate 是否就是coupon rate ? the effective rate是否就是市场实际的利率,就是折现到利率?

2 个答案

王园圆_品职助教 · 2024年06月29日

同学你好,你说的reported interest rate更高是什么意思?什么是reported interest rate?

记录在I/S表里面的interest expense不是通过 “面值*coupon rate” 来计算的,而是通过 “amortized cost*初始债券发行时候的市场利率”来计算的

而其中的amortized cost是由初始债券的购买成本一期一期摊销计算得到的

以下是去年一级财务关于溢价发行的债券的一道摊销的例题,同学可以参考一下——溢价发行下,coupon payment就是大于每期记录的interest expense的——和本题的解析结论是完全一致的哦“ If the par value is less than the initial cost (stated interest rate is greater than the effective rate), the interest income would be lower than the interest received because of amortization of the premium.”

王园圆_品职助教 · 2023年07月20日

同学你好,是可以这么理解的

本质其实本题就是说有3只债券,购买成本分别为表格中的第一行数据,然后是溢价发行还是折价发行,才会使未来实际记录在I/S表上的interest expenses会比coupon payment小

由于溢价发行状态下,每一期的coupon payment除了还利息,还会归还一些本金——对应到本题,就是找面值小于表格显示价格的债券,所以选B

Shutong · 2024年06月29日

stated interest rate如果是coupon rate,那么溢价发行的时候coupon rate更高(stated interest rate更高),reported interest rate不是应该更高吗? 这样理解跟答案就不一致了?