量化计算个人养老金到底值不值得交

前言

网上很多文章都在分析个人养老金到底值不值得交，许多文章得出的结论是个人所得税交至3%档及以下的不应该交，交至10%档的值得商榷，交至20%档及以上的值得交，但都没有给出量化的数据。为了来看看为什么得出这个结论，我采用了Excel的IRR函数来自动计算内部收益率，虽然和年化收益率不完全一样，但用来作为一个估计值，还是可以的。

数据

当前个人养老金制度的简要提一下：每年交12000元，可以享受个人所得税附加扣除，领取时需要交纳领取金额的3%的税。依靠这些数据提供给IRR函数，并算出IRR值，这里放出数据。

交至10%个人所得税率档时，各预期理财收益率下的IRR数值

存入年限	理财收益1%	理财收益2%	理财收益3%	理财收益4%	理财收益5%
40	1.3437%	2.3282%	3.3149%	4.3036%	5.2941%
39	1.3529%	2.3373%	3.3240%	4.3126%	5.3030%
38	1.3625%	2.3470%	3.3336%	4.3222%	5.3125%
37	1.3726%	2.3571%	3.3437%	4.3322%	5.3224%
36	1.3833%	2.3678%	3.3544%	4.3428%	5.3329%
35	1.3946%	2.3791%	3.3657%	4.3541%	5.3441%
34	1.4065%	2.3911%	3.3777%	4.3660%	5.3559%
33	1.4191%	2.4038%	3.3903%	4.3786%	5.3684%
32	1.4325%	2.4173%	3.4038%	4.3921%	5.3818%
31	1.4468%	2.4316%	3.4182%	4.4064%	5.3960%
30	1.4619%	2.4468%	3.4334%	4.4216%	5.4112%
29	1.4781%	2.4631%	3.4498%	4.4379%	5.4275%
28	1.4954%	2.4805%	3.4672%	4.4554%	5.4449%
27	1.5140%	2.4992%	3.4860%	4.4742%	5.4637%
26	1.5140%	2.5193%	3.5061%	4.4943%	5.4838%
25	1.5554%	2.5409%	3.5279%	4.5161%	5.5056%
24	1.5786%	2.5643%	3.5514%	4.5397%	5.5292%
23	1.6037%	2.5897%	3.5769%	4.5653%	5.5549%
22	1.6311%	2.6173%	3.6047%	4.5932%	5.5828%
21	1.6609%	2.6474%	3.6350%	4.6237%	5.6134%
20	1.6936%	2.6804%	3.6682%	4.6571%	5.6469%
19	1.7296%	2.7167%	3.7049%	4.6940%	5.6840%
18	1.7694%	2.7569%	3.7454%	4.7348%	5.7250%
17	1.8137%	2.8017%	3.7905%	4.7802%	5.7707%
16	1.8632%	2.8517%	3.8410%	4.8311%	5.8219%
15	1.9189%	2.9080%	3.8978%	4.8884%	5.8796%
14	1.9821%	2.9719%	3.9624%	4.9535%	5.9452%
13	2.0544%	3.0451%	4.0363%	5.0281%	6.0204%
12	2.1380%	3.1295%	4.1216%	5.1143%	6.1074%
11	2.2355%	3.2283%	4.2214%	5.2151%	6.2091%
10	2.3510%	3.3451%	4.3396%	5.3344%	6.3297%
9	2.4898%	3.4856%	4.4817%	5.4781%	6.4748%
8	2.6599%	3.6577%	4.6558%	5.6541%	6.6527%
7	2.8729%	3.8734%	4.8740%	5.8748%	6.8758%
6	3.1477%	4.1516%	5.1556%	6.1597%	7.1640%
5	3.5156%	4.5242%	5.5327%	6.5414%	7.5501%
4	4.0337%	5.0488%	6.0639%	7.0790%	8.0942%
3	4.8173%	5.8424%	6.8676%	7.8926%	8.9177%
2	6.1409%	7.1831%	8.2253%	9.2675%	10.3096%
1	8.8556%	9.9333%	11.0111%	12.0889%	13.1667%

交至20%个人所得税率档时，各预期理财收益率下的IRR数值

存入年限	理财收益1%	理财收益2%	理财收益3%	理财收益4%	理财收益5%
40	1.8730%	2.8350%	3.8025%	4.7749%	5.7517%
39	1.8963%	2.8583%	3.8257%	4.7979%	5.7744%
38	1.9207%	2.8828%	3.8502%	4.8222%	5.7984%
37	1.9465%	2.9087%	3.8759%	4.8478%	5.8238%
36	1.9737%	2.9359%	3.9031%	4.8748%	5.8506%
35	2.0024%	2.9647%	3.9319%	4.9034%	5.8790%
34	2.0327%	2.9952%	3.9623%	4.9338%	5.9091%
33	2.0649%	3.0275%	3.9946%	4.9660%	5.9411%
32	2.0990%	3.0618%	4.0290%	5.0002%	5.9751%
31	2.1353%	3.0983%	4.0655%	5.0366%	6.0114%
30	2.1740%	3.1371%	4.1044%	5.0755%	6.0501%
29	2.2152%	3.1786%	4.1460%	5.1171%	6.0916%
28	2.2594%	3.2230%	4.1906%	5.1617%	6.1361%
27	2.3067%	3.2707%	4.2384%	5.2095%	6.1839%
26	2.3067%	3.3219%	4.2898%	5.2610%	6.2353%
25	2.4123%	3.3771%	4.3453%	5.3166%	6.2910%
24	2.4716%	3.4368%	4.4053%	5.3768%	6.3512%
23	2.5358%	3.5016%	4.4705%	5.4422%	6.4167%
22	2.6057%	3.5721%	4.5414%	5.5134%	6.4881%
21	2.6821%	3.6491%	4.6189%	5.5913%	6.5663%
20	2.7658%	3.7336%	4.7040%	5.6769%	6.6521%
19	2.8580%	3.8266%	4.7977%	5.7712%	6.7469%
18	2.9600%	3.9296%	4.9016%	5.8757%	6.8519%
17	3.0735%	4.0443%	5.0172%	5.9921%	6.9690%
16	3.2006%	4.1727%	5.1467%	6.1226%	7.1003%
15	3.3439%	4.3174%	5.2927%	6.2698%	7.2486%
14	3.5065%	4.4818%	5.4587%	6.4372%	7.4172%
13	3.6929%	4.6701%	5.6489%	6.6291%	7.6106%
12	3.9084%	4.8881%	5.8690%	6.8513%	7.8347%
11	4.1607%	5.1432%	6.1268%	7.1115%	8.0973%
10	4.4598%	5.4457%	6.4326%	7.4204%	8.4092%
9	4.8204%	5.8104%	6.8013%	7.7930%	8.7854%
8	5.2633%	6.2585%	7.2544%	8.2509%	9.2481%
7	5.8204%	6.8222%	7.8246%	8.8274%	9.8307%
6	6.5424%	7.5530%	8.5638%	9.5750%	10.5865%
5	7.5153%	8.5377%	9.5602%	10.5829%	11.6058%
4	8.8972%	9.9366%	10.9760%	12.0154%	13.0548%
3	11.0145%	12.0802%	13.1458%	14.2114%	15.2768%
2	14.6662%	15.7780%	16.8897%	18.0012%	19.1126%
1	22.4625%	23.6750%	24.8875%	26.1000%	27.3125%

交至10%个人所得税率档时，各预期理财收益率下的IRR图像

交至20%个人所得税率档时，各预期理财收益率下的IRR图像

简要的分析

1. IRR值受个人养老金理财收益率影响较大；

2. 个人所得税交至20%档时基于理财收益率之上的额外的收益率，要比个人所得税交至10%档的高0.5%-5%；

3. 交的年限越少，IRR值越高。

原文件

这里提供Excel原文件供有需要的人自行查阅。如下图所示，下载文件后只需要选择“存储年限”和“理财预期收益”两个选项即可。下载链接：阿里云盘。

只需要选择“存储年限”和“理财预期收益”两个选项