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Wheel · 2022年03月27日

我不明白为什么第一笔现金流1000不算入interest 的范围

NO.PZ2016012102000157

问题如下:

At the beginning of 2017, PZ company enters a finance lease for 5 years with annual payments of $1,000 paid in front. The interest rate on the lease is 6%, which of the following statements is the most correct?

选项:

A.

The amount of interest expense recognized by PZ in 2017 is closest to $207.91.

B.

The amount of interest expense recognized by PZ in 2017 is closest to $252.74.

C.

The amount of interest expense recognized by PZ in 2017 is closest to $267.91.

解释:

A is correct.

At the beginning of 2017, use BGN mode: N=5; I/Y=6; PMT=1,000; FV=0, CPT PV=4465.11

The first payment is made, therefore the finance lease liability is $4465.11 - $1000=$3465.11

The amount of interest expense recognized by PZ in 2017 is $3465.11 × 6%=$207.91

考点:债券利息费用的计算

根据已知信息,annual payment paid in front, 所以是BGN模式,用计算器得出债券的初始价值。

使用BGN模式:N=5; I/Y=6; PMT=1,000; FV=0,CPT PV=4465.11

2017年初,确认债券价值 $4465.11

2017年初,由于$1000利息已付,因此融资租赁债务的价值 = $4465.11 - $1000 = $3465.11

2017年末,计算第一期确认的利息费用 = 融资租赁债务的价值 * 市场利息率(market interest rate) = $3465.11×6%=$207.91

PZ 2017年确认的利息费用金额为$207.91

如题

1 个答案

Kiko_品职助教 · 2022年03月29日

嗨,努力学习的PZer你好:


因为题目说了是paid in front,每年年初付,所以2017年年初的时候已经把1000支付出去了,相当于租赁债务价值在年初就已经变成3465.11了。

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努力的时光都是限量版,加油!

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