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zhuzhu123 · 2020年05月06日

问一道题:NO.PZ2015120604000172

问题如下:

Lily Wang wants to borrow $40,000 to buy a car with zero down payments. She should pay the equal payments at the end of each month in the next 3 years. The monthly payment is $1,350. What is the principal portion of the second payment?

选项:

A.

$912.8

B.

$922.78

C.

$1.350

解释:

B is correct.

First: Figue out the interest rate.

PV=-40000, FV=0,  N=3*12=36, PMT=1,350, CPT  I/Y=1.0930.

The first month interest= 40000*1.093%= 437.2, first principal= 1350-437.2=912.8

The remaining principal= 40000-912.8=39087.2

The second month interest= 39087.2*1.093%= 427.22, second principal= 1350-427.22 = 922.78.

这道题没有说利率是多少呀,1.093%的利率是哪里来的?

1 个答案

星星_品职助教 · 2020年05月06日

同学你好,

I/Y是根据已知条件求出来的。PV=-40000, FV=0,  N=3*12=36, PMT=1,350, CPT  I/Y=1.0930.

求出I/Y后,可以进一步再往下求

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NO.PZ2015120604000172 我算出来的本金是922.77

2021-11-09 23:03 1 · 回答

NO.PZ2015120604000172 请问with zero wn payments是什么意思?是指零首付吗?这句话对答案是否有影响呢没太懂这个的意义,我就直接忽略了这个零首付呃。

2021-08-22 00:50 1 · 回答

$922.78 $1.350 B is correct. First: Figue out the interest rate. PV=-40000, FV=0,  N=3*12=36, PMT=1,350, CPT  I/Y=1.0930. The first month interest= 40000*1.093%= 437.2, first principal= 1350-437.2=912.8 The remaining principal= 40000-912.8=39087.2 The seconmonth interest= 39087.2*1.093%= 427.22, seconprincipal= 1350-427.22 = 922.78.您好,按照quantitative课件第17页例题annuity的例子(表格)来看,我的理解是第二期应该为40000-1350=38650为第二期的beginning balance,然后r是38650×1.09大概是422.45,1350-422.45然后没结果,请问我这个思路是哪里错了呢

2021-02-20 21:08 2 · 回答

NO.PZ2015120604000172 B is correct. First: Figue out the interest rate. PV=-40000, FV=0, N=3*12=36, PMT=1,350, CPT I/Y=1.0930. The first month interest= 40000*1.093%= 437.2, first principal= 1350-437.2=912.8 The remaining principal= 40000-912.8=39087.2 The seconmonth interest= 39087.2*1.093%= 427.22, seconprincipal= 1350-427.22 = 922.78. 请问这道题有没有快捷的方法计算? 我认为算出来912.8了第一个月的principle就可以判断选b因为这个月的本金肯定比第一个月还的多嘛!!!还贷款都是本金还的越来越多,利息越来越少,但是这个差距又很小,不会变化很大,就选b,对吧!!

2021-02-03 11:44 1 · 回答

$922.78 $1.350 B is correct. First: Figue out the interest rate. PV=-40000, FV=0,  N=3*12=36, PMT=1,350, CPT  I/Y=1.0930. The first month interest= 40000*1.093%= 437.2, first principal= 1350-437.2=912.8 The remaining principal= 40000-912.8=39087.2 The seconmonth interest= 39087.2*1.093%= 427.22, seconprincipal= 1350-427.22 = 922.78.请问这道题有没有快捷的方法计算?

2020-08-18 00:18 1 · 回答