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求教,L1 2010 Mock Morning Session 第59题

求教,L1 2010 Mock Morning Session 第59题

59. A capital lease requires annual lease payments of $2,000 at the start of each year. Fair value of the leased equipment at inception of the lease is $10,000 and the implicit interest rate is 12 percent. If the present value of the lease payments equals the fair value of the equipment at the inception of the lease, the interest expense (in $) recorded by the lessee in the second year of the lease is closest to:
A. 960.
B. 1,104.
C. 1,200.
Answer: A

 

答案的算法是第一年的$2000都是pricipal, 所以第二年的interest expense是 (10,000-2,000)*12%=960。我想不明白,为什么第一年的2000中不是一部份偿还利息10000*12%=1200,一部分偿还本金2000-1200=800,然后第二年的利息是(10000-800)*12%=1104呢?
麻烦大牛们帮我解答一下哈~~

我的理解:利息在年末交,所以年初的payment中没有利息,仅供参考。。。

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谢谢楼上的,应该是的,$2000的payment是在年初的呢,做的时候没注意到~~

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我怎么没看到这题...anyway,lz可以这样算:首先是你把他想成是期末付款的,那PV就是10000/1.12,然后在pmt=-2000,fv=0,I/Y=12,算出n=6.77,然后把6.77-1代回去算出第二年的PV,乘以0.12就可以了

然后第一年的2000必然全是本金啊,因为是在年初的时候交的啊,哪里有利息啊...

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