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owlmn · 2019年12月04日

问一道题:NO.PZ2017092702000019 [ CFA I ]

问题如下图:

选项:

A.

B.

C.

解释:

这题用计算器:n=4×12  pmt=700/12 pv=0 I/Y=2/12 算出FV=22917. 38 再加上原始的20000,为啥不对呢?

1 个答案

星星_品职助教 · 2019年12月04日

同学你好,

这道题不能直接算一个统一的FV,因为并不是每个700都滚了4年。可以参照答案解析中的时间轴,第一个700的利息实际滚了3年(36个月),第二个700滚了2年(24个月),第三个700滚了1年(12个月),第四个700直接就是终值,不需要复利。

所以这道题是需要解出3个700各自所对应的FV的,不复杂,但是麻烦,考试的时候慢慢做就能做对,加油~

Luka · 2020年03月05日

我现在有点分不清什么时候能算统一的fv什么时候不能了😂

星星_品职助教 · 2020年03月05日

两个角度思考: 1. 这个700是逐年进入账户的,所以可以单独求每一个700的FV,这个就是不统一算。2. 可以把700理解成一个每年进入的PMT,这样先算出来EAR,然后把N也设成多少年,这样就可以算一个统一的FV。

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NO.PZ2017092702000019问题如下A client invests €20,000 in a four-yecertificate of posit (C thannually pays interest of 3.5%. The annuinterest payments are automatically reinvestein a separate savings account a stateannuinterest rate of 2% compounmonthly. maturity, the value of the combineasset is closest to:A.€21,670.B.€22,890.C.€22,950. B is correct, the following cash flows show:The four annuinterest payments are baseon the Cs 3.5% annurate. The first payment grows 2.0% compounmonthly for three years (where FV is future value): FVN = €700(1 +0.02/12 )3×12 FVN = 743.25 The seconpayment grows 2.0% compounmonthly for two years: FVN = €700(1 +0.02/12 )2×12 FVN = 728.54 The thirpayment grows 2.0% compounmonthly for one year: FVN = €700(1 +0.02/12 )1×12 FVN=714.13The fourth payment is paithe enof Ye4. Its future value is €700. The sum of all future value payments is follows:根据EAR的公式(1+2%/12)^12=1+EAR,得到EAR=2.0184%。然后1. 首先按照年金的方式来计算利息再投资的终值N=4,I/Y=2.0184,PV=0,PMT=700,CPT FV=-2885.9208;其中700是20,000每年按照3.5%产生的利息,I/Y是转化的EAR,因为利息(PMT)的频率也是一年一付的。2. 然后把期初的这20,000再加回去,得到22,885.92。(和B有写出入是因为四舍五入的问题,但不影响选出答案) 老师,2/12这个不是把月计的利率转成年计吗,和E的区别在哪?谢谢

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