oriafang · 2022年09月03日
NO.PZ2017092702000010
问题如下：
A saver deposits the following amounts in an account paying a stated annual rate of 4%, compounded semiannually:
At the end of Year 4, the value of the account is closest to:
选项：
A.
$30,432
B.
$30,447
C.
$31,677
解释：
B is correct.
To solve for the future value of unequal cash flows, compute the future value of each payment as of Year 4 at the semiannual rate of 2%, and then sum the individual future values, as follows:
想问一下什么时候用EAR的利率，什么时候就用原来的annual interesting rate?
星星_品职助教 · 2022年09月03日
同学你好，
1）Stated annual interest rate都需要转化；
2）对于非连续计息的情况，需要根据计息频率转化为期间利率，期间利率=Stated annual interest rate/m，m为计息频率（compounding frequency）；
3）对于非连续计息的情况，如果能用期间利率计算，就可以直接用期间利率按计算器，没有必要多算一步EAR。但如果题目求的是和年度相关的情况，例如求N是多少年，这时候将I/Y转化为EAR可以直接按出结果。
4）对于连续计息的情况（continuous compounding），转化方式为直接转化为EAR，EAR=e的r次方 -1，r为Stated annual interest rate；
🛸 · 2022年09月05日
老师我想问问，讲义里的EAR的公式是还有一个减1的部分，我看你在第四点里联系计息的情况下才提到这个减1.那是否在其他情况下直接用公式FV=PV（1+r/m）^mn就行了吗？
NO.PZ2017092702000010 问题如下 A saver posits the following amounts in account paying a stateannurate of 4%, compounsemiannually:the enof Ye4, the value of the account is closest to: A.$30,432 B.$30,447 C.$31,677 B is correct.To solve for the future value of unequcash flows, compute the future value of eapayment of Ye4 the semiannurate of 2%, anthen sum the invifuture values, follows:根据上表所示，首先计算每笔存款的FV，但是需使用semiannurate 2%，然后将FV相加求和。 为什么不是按照effective annurate的计算方式计算呢？这样一年4%，按照半年机洗一次的话，EAR应该算出来是4.04%呀，并不是直接4%除上2，这个理解是哪里有问题呢？
NO.PZ2017092702000010 问题如下 A saver posits the following amounts in account paying a stateannurate of 4%, compounsemiannually:the enof Ye4, the value of the account is closest to: A.$30,432 B.$30,447 C.$31,677 B is correct.To solve for the future value of unequcash flows, compute the future value of eapayment of Ye4 the semiannurate of 2%, anthen sum the invifuture values, follows:根据上表所示，首先计算每笔存款的FV，但是需使用semiannurate 2%，然后将FV相加求和。 若用CF计算，CF0 = 0，CF1，3，5，7=0，2，4，6，8分别为题目给予的数值，同时I = 2，这样计算是否正确
NO.PZ2017092702000010 问题如下 A saver posits the following amounts in account paying a stateannurate of 4%, compounsemiannually:the enof Ye4, the value of the account is closest to: A.$30,432 B.$30,447 C.$31,677 B is correct.To solve for the future value of unequcash flows, compute the future value of eapayment of Ye4 the semiannurate of 2%, anthen sum the invifuture values, follows:根据上表所示，首先计算每笔存款的FV，但是需使用semiannurate 2%，然后将FV相加求和。 ti
NO.PZ2017092702000010 问题如下 A saver posits the following amounts in account paying a stateannurate of 4%, compounsemiannually:the enof Ye4, the value of the account is closest to: A.$30,432 B.$30,447 C.$31,677 B is correct.To solve for the future value of unequcash flows, compute the future value of eapayment of Ye4 the semiannurate of 2%, anthen sum the invifuture values, follows:根据上表所示，首先计算每笔存款的FV，但是需使用semiannurate 2%，然后将FV相加求和。 题干里给的是每年年末的posit。第一年4000，第二年8000，第二年8000里面不会有4000已经compoun第四年年末了吗？再计算8000的compoun什么没有重复计算的问题？
NO.PZ2017092702000010问题如下 A saver posits the following amounts in account paying a stateannurate of 4%, compounsemiannually:the enof Ye4, the value of the account is closest to:A.$30,432B.$30,447C.$31,677 B is correct.To solve for the future value of unequcash flows, compute the future value of eapayment of Ye4 the semiannurate of 2%, anthen sum the invifuture values, follows:根据上表所示，首先计算每笔存款的FV，但是需使用semiannurate 2%，然后将FV相加求和。 我的想法每一年分开算，如第一年，N=2，I/Y=2%，pv=题目中的，然后能算出来FV第二年，N和I/Y不变，PV=第一年算出来的值，PMT=题目给的第二年的投资，算FV第三年，N和I/Y不变，PV=第二年算出来的值，PMT=题目给的第三年的投资，算Fv这个FV就是答案。请问老师我这个思路有什么问题吗？
