如此_AnnieCcc · 2021年02月03日
NO.PZ2018062016000010
问题如下：
Mary has a separate account for her annual savings which has a stated annual rate of 3% and compounding quarterly. At the end of each year, she transfers unequal cash flows into this account. Year 1: $500, Year 2: $800, Year 4: $300, Year 5: $500. How much will Mary save for her account at the end of year 5?
选项：
A.$2246.81
B.$2247.65
C.$2281.00
解释：
B is correct.
CF0=0，CF1=500，CF2=800，CF3=0，CF4=300，CF5=500，I=3，CPT NPV=1935.84，然后1935.84乘以（1+3%/4）的20次方是吗？对吗？？？/
星星_品职助教 · 2021年02月03日
同学你好，
有一个很小的问题。 “ stated annual rate”都是不能直接用的，必须要转化。对本题而言，就是计算NPV时不能直接用I=3.
由于计算NPV时用的现金流都是年度现金流，所以也需要用到年度利率，也就是EAR=(1+3%/4)^4-1=3.03%。I=3.03，计算出NPV=1935.845.
然后既可以根据年利率EAR将NPV往后复利五年，1935.845×(1+3.03%）^5≈2247
也可以根据季度利率往后复利20个季度，即你列举的1935.84×（1+3%/4）^20≈2247
两种算法的结果是一样的，少量的小数点差异来自于四舍五入。
Clare · 2021年05月30日
为什么NPV要往后复利5年？
NO.PZ2018062016000010 问题如下 Mary ha separate account for her annusavings whiha stateannurate of 3% ancompounng quarterly. the enof eayear, she transfers unequcash flows into this account. Ye1: $500, Ye2: $800, Ye3: $0, Ye4: $300, Ye5: $500. How muwill Mary save for her account the enof ye5? A.$2246.81 B.$2247.65 C.$2281.00 B is correct. 用CF计算是不是先求EAR，然后输入每期现金流，输入I/Y，然后cpt NFV
NO.PZ2018062016000010问题如下 Mary ha separate account for her annusavings whiha stateannurate of 3% ancompounng quarterly. the enof eayear, she transfers unequcash flows into this account. Ye1: $500, Ye2: $800, Ye3: $0, Ye4: $300, Ye5: $500. How muwill Mary save for her account the enof ye5? A.$2246.81B.$2247.65C.$2281.00B is correct.请问这个题的计算流程是什么样的，没有理解。要先算什么再算什么？
NO.PZ2018062016000010问题如下 Mary ha separate account for her annusavings whiha stateannurate of 3% ancompounng quarterly. the enof eayear, she transfers unequcash flows into this account. Ye1: $500, Ye2: $800, Ye3: $0, Ye4: $300, Ye5: $500. How muwill Mary save for her account the enof ye5? A.$2246.81B.$2247.65C.$2281.00B is correct.本题的答案是每一年单独计算 最后加上总额，我想问一下为什么不是第一年算出来的金额 加上第二年又存进去的的钱作为第二年的本金，以此类推到第五年
NO.PZ2018062016000010 问题如下 Mary ha separate account for her annusavings whiha stateannurate of 3% ancompounng quarterly. the enof eayear, she transfers unequcash flows into this account. Ye1: $500, Ye2: $800, Ye3: $0, Ye4: $300, Ye5: $500. How muwill Mary save for her account the enof ye5? A.$2246.81 B.$2247.65 C.$2281.00 B is correct. 这道题可不可以用N,IY,PV,PMT,FV这五个一年一年的算呢
NO.PZ2018062016000010问题如下 Mary ha separate account for her annusavings whiha stateannurate of 3% ancompounng quarterly. the enof eayear, she transfers unequcash flows into this account. Ye1: $500, Ye2: $800, Ye3: $0, Ye4: $300, Ye5: $500. How muwill Mary save for her account the enof ye5? A.$2246.81B.$2247.65C.$2281.00B is correct.EAR=3.034% 可以直接视作NPV键里的I（折现率）嘛？怎么感觉哪里怪怪的？
