如果一个人到去世那一天，年收入都至少50万加元以上，那RRSP还有用吗？

[jimmy_huang]

都说RRSP可以省税，可是，我突然发现，这个思路的前提是，人到老了必须收入降低，所以提取RRSP出来，才能享受低税率。

可是，如果我这辈子到去世那一天，我的年收入都至少50万加元，那我买RRSP还有优势吗？

我做了个假设，我有一个保底年复利5%的投资方案，我投资收益以外，一直有50万加元的应纳税收入taxable income，假设我这辈子能活到90岁，

那么，假设从100万加元开始，我从40岁开始投资，假设收益被收税56%，到71岁，RRSP提取后的的税后剩余就大于非注册账户的余额了。

到了90岁，我的RRSP就算全部按照56%的税率被收税，税后剩余比非注册账户的余额都多207万。

结论就是，即便到死那天我的年收入都超过50万加元，买入RRSP仍然是一个好的选择。除非，除非你买的是一些永远不分红只靠股价上涨就能赚钱的股票或者ETF，那么，我上面假设的5%收益也可以延迟缴税，那么，非注册账户的收益也不需要第二年被扣数，那么此时非注册账户由于capital gain的因素，只有capital gain = 11467399.79 - 1000000 = 10467399.79，50% taxable，所以税后可以剩下
11467399.79 - 10467399.7*50%*0.56=8536527.87 = 853万 = 8.53 Million，而RRSP取出以后只有500万。

Year	Age	非注册账户余额	当前RRSP余额	当年把RRSP全部取出后税后剩下	收益率	税前收益	税后收益	RRSP收益，延迟纳税	RRSP税后余额 - 非注册账户
0​	40​	1000000.00​	1000000.00​	440000.00​	5%​	50000.00​	22000.00​	50000.00​	-560000.00​
1​	41​	1022000.00​	1050000.00​	462000.00​	5%​	51100.00​	22484.00​	52500.00​	-560000.00​
2​	42​	1044484.00​	1102500.00​	485100.00​	5%​	52224.20​	22978.65​	55125.00​	-559384.00​
3​	43​	1067462.65​	1157625.00​	509355.00​	5%​	53373.13​	23484.18​	57881.25​	-558107.65​
4​	44​	1090946.83​	1215506.25​	534822.75​	5%​	54547.34​	24000.83​	60775.31​	-556124.08​
5​	45​	1114947.66​	1276281.56​	561563.89​	5%​	55747.38​	24528.85​	63814.08​	-553383.77​
6​	46​	1139476.50​	1340095.64​	589642.08​	5%​	56973.83​	25068.48​	67004.78​	-549834.42​
7​	47​	1164544.99​	1407100.42​	619124.19​	5%​	58227.25​	25619.99​	70355.02​	-545420.80​
8​	48​	1190164.98​	1477455.44​	650080.40​	5%​	59508.25​	26183.63​	73872.77​	-540084.58​
9​	49​	1216348.61​	1551328.22​	682584.42​	5%​	60817.43​	26759.67​	77566.41​	-533764.19​
10​	50​	1243108.28​	1628894.63​	716713.64​	5%​	62155.41​	27348.38​	81444.73​	-526394.64​
11​	51​	1270456.66​	1710339.36​	752549.32​	5%​	63522.83​	27950.05​	85516.97​	-517907.34​
12​	52​	1298406.71​	1795856.33​	790176.78​	5%​	64920.34​	28564.95​	89792.82​	-508229.92​
13​	53​	1326971.65​	1885649.14​	829685.62​	5%​	66348.58​	29193.38​	94282.46​	-497286.03​
14​	54​	1356165.03​	1979931.60​	871169.90​	5%​	67808.25​	29835.63​	98996.58​	-484995.13​
15​	55​	1386000.66​	2078928.18​	914728.40​	5%​	69300.03​	30492.01​	103946.41​	-471272.26​
16​	56​	1416492.67​	2182874.59​	960464.82​	5%​	70824.63​	31162.84​	109143.73​	-456027.86​
17​	57​	1447655.51​	2292018.32​	1008488.06​	5%​	72382.78​	31848.42​	114600.92​	-439167.45​
18​	58​	1479503.93​	2406619.23​	1058912.46​	5%​	73975.20​	32549.09​	120330.96​	-420591.47​
19​	59​	1512053.02​	2526950.20​	1111858.09​	5%​	75602.65​	33265.17​	126347.51​	-400194.93​
20​	60​	1545318.19​	2653297.71​	1167450.99​	5%​	77265.91​	33997.00​	132664.89​	-377867.20​
21​	61​	1579315.19​	2785962.59​	1225823.54​	5%​	78965.76​	34744.93​	139298.13​	-353491.65​
22​	62​	1614060.12​	2925260.72​	1287114.72​	5%​	80703.01​	35509.32​	146263.04​	-326945.40​
23​	63​	1649569.44​	3071523.76​	1351470.45​	5%​	82478.47​	36290.53​	153576.19​	-298098.99​
24​	64​	1685859.97​	3225099.94​	1419043.98​	5%​	84293.00​	37088.92​	161255.00​	-266816.00​
25​	65​	1722948.89​	3386354.94​	1489996.17​	5%​	86147.44​	37904.88​	169317.75​	-232952.72​
26​	66​	1760853.77​	3555672.69​	1564495.98​	5%​	88042.69​	38738.78​	177783.63​	-196357.78​
27​	67​	1799592.55​	3733456.32​	1642720.78​	5%​	89979.63​	39591.04​	186672.82​	-156871.77​
28​	68​	1839183.59​	3920129.14​	1724856.82​	5%​	91959.18​	40462.04​	196006.46​	-114326.77​
29​	69​	1879645.62​	4116135.60​	1811099.66​	5%​	93982.28​	41352.20​	205806.78​	-68545.96​
30​	70​	1920997.83​	4321942.38​	1901654.65​	5%​	96049.89​	42261.95​	216097.12​	-19343.18​
31​	71​	1963259.78​	4538039.49​	1996737.38​	5%​	98162.99​	43191.72​	226901.97​	33477.60​
32​	72​	2006451.50​	4764941.47​	2096574.25​	5%​	100322.57​	44141.93​	238247.07​	90122.75​
33​	73​	2050593.43​	5003188.54​	2201402.96​	5%​	102529.67​	45113.06​	250159.43​	150809.53​
34​	74​	2095706.48​	5253347.97​	2311473.11​	5%​	104785.32​	46105.54​	262667.40​	215766.62​
35​	75​	2141812.03​	5516015.37​	2427046.76​	5%​	107090.60​	47119.86​	275800.77​	285234.73​
36​	76​	2188931.89​	5791816.14​	2548399.10​	5%​	109446.59​	48156.50​	289590.81​	359467.21​
37​	77​	2237088.39​	6081406.94​	2675819.05​	5%​	111854.42​	49215.94​	304070.35​	438730.66​
38​	78​	2286304.34​	6385477.29​	2809610.01​	5%​	114315.22​	50298.70​	319273.86​	523305.67​
39​	79​	2336603.03​	6704751.15​	2950090.51​	5%​	116830.15​	51405.27​	335237.56​	613487.47​
40​	80​	2388008.30​	7039988.71​	3097595.03​	5%​	119400.42​	52536.18​	351999.44​	709586.73​
41​	81​	2440544.48​	7391988.15​	3252474.79​	5%​	122027.22​	53691.98​	369599.41​	811930.30​
42​	82​	2494236.46​	7761587.56​	3415098.52​	5%​	124711.82​	54873.20​	388079.38​	920862.06​
43​	83​	2549109.66​	8149666.93​	3585853.45​	5%​	127455.48​	56080.41​	407483.35​	1036743.79​
44​	84​	2605190.08​	8557150.28​	3765146.12​	5%​	130259.50​	57314.18​	427857.51​	1159956.05​
45​	85​	2662504.26​	8985007.79​	3953403.43​	5%​	133125.21​	58575.09​	449250.39​	1290899.17​
46​	86​	2721079.35​	9434258.18​	4151073.60​	5%​	136053.97​	59863.75​	471712.91​	1429994.25​
47​	87​	2780943.10​	9905971.09​	4358627.28​	5%​	139047.15​	61180.75​	495298.55​	1577684.18​
48​	88​	2842123.85​	10401269.65​	4576558.64​	5%​	142106.19​	62526.72​	520063.48​	1734434.80​
49​	89​	2904650.57​	10921333.13​	4805386.58​	5%​	145232.53​	63902.31​	546066.66​	1900736.01​
50​	90​	2968552.88​	11467399.79​	5045655.91​	5%​	148427.64​	65308.16​	573369.99​	2077103.02​

 

[jimmy_huang]

再进一步假设，一个孩子，20岁开始工作，每年都至少要50万加元taxable收入，假设未来100年通胀为0，物价不变，收入也不变，每年都存入RRSP 3万加元，对比一下三个方案

1. RRSP买入一个年收益5%的产品
2. 非注册账户买入5%利息的产品，利息每年要被收掉56%的税
3. 非注册账户买一个5%年回报的产品，5%的回报只有套现时候按照capital gain收税，50% taxable income，税率56%

在不考虑税收优惠的前提下，小孩到了40岁，RRSP账户就有100万加元了，但是，40岁以后每年够contribute 3万到RRSP，导致71岁的时候，把RRSP全部取出来只有291万，而非注册账户有377万，RRSP少了377-291=86万，40岁到71岁有31年，总共省了31*3*0.56=52万的税，也就是说，40岁已经有100万RRSP的情况下，仍然继续存入RRSP，就要吃亏了。

再对比买非注册账户年回报5%不分红的场景，71岁的时候全部套现可以税后有520万，153（成本）+510（capital gain）-510*0.5*0.56（50% taxable, 56% tax rate） = 520万。

所以，有钱人的话，确实用不分红但是不断增值的产品，可以获得最大的收益。

Year

Age

taxable income

RRSP contribution year end

RRSP balance year start

RRSP after withdraw

Non reg year start if not RRSP

Non reg book cost year start

Non reg capital gain year start

capital gain after cash out after tax

return%

return at year end

return after tax if taxed at 56%

0​

20​

500000​

30000​

0​

0​

0​

0​

0​

0​

5.00%​

0.00​

0​

1​

21​

500000​

30000​

30000.00​

13200.00​

30000.00​

30000.00​

0.00​

0.00​

5.00%​

1500.00​

660.00​

2​

22​

500000​

30000​

61500.00​

27060.00​

60660.00​

60000.00​

1500.00​

1080.00​

5.00%​

3075.00​

1353.00​

3​

23​

500000​

30000​

94575.00​

41613.00​

92013.00​

90000.00​

4575.00​

3294.00​

5.00%​

4728.75​

2080.65​

4​

24​

500000​

30000​

129303.75​

56893.65​

124093.65​

120000.00​

9303.75​

6698.70​

5.00%​

6465.19​

2844.68​

5​

25​

500000​

30000​

165768.94​

72938.33​

156938.33​

150000.00​

15768.94​

11353.64​

5.00%​

8288.45​

3646.92​

6​

26​

500000​

30000​

204057.38​

89785.25​

190585.25​

180000.00​

24057.38​

17321.32​

5.00%​

10202.87​

4489.26​

7​

27​

500000​

30000​

244260.25​

107474.51​

225074.51​

210000.00​

34260.25​

24667.38​

5.00%​

12213.01​

5373.73​

8​

28​

500000​

30000​

286473.27​

126048.24​

260448.24​

240000.00​

46473.27​

33460.75​

5.00%​

14323.66​

6302.41​

9​

29​

500000​

30000​

330796.93​

145550.65​

296750.65​

270000.00​

60796.93​

43773.79​

5.00%​

16539.85​

7277.53​

10​

30​

500000​

30000​

377336.78​

166028.18​

334028.18​

300000.00​

77336.78​

55682.48​

5.00%​

18866.84​

8301.41​

11​

31​

500000​

30000​

426203.61​

187529.59​

372329.59​

330000.00​

96203.61​

69266.60​

5.00%​

21310.18​

9376.48​

12​

32​

500000​

30000​

477513.80​

210106.07​

411706.07​

360000.00​

117513.80​

84609.93​

5.00%​

23875.69​

10505.30​

13​

33​

500000​

30000​

531389.49​

233811.37​

452211.37​

390000.00​

141389.49​

101800.43​

5.00%​

26569.47​

11690.57​

14​

34​

500000​

30000​

587958.96​

258701.94​

493901.94​

420000.00​

167958.96​

120930.45​

5.00%​

29397.95​

12935.10​

15​

35​

500000​

30000​

647356.91​

284837.04​

536837.04​

450000.00​

197356.91​

142096.97​

5.00%​

32367.85​

14241.85​

16​

36​

500000​

30000​

709724.75​

312278.89​

581078.89​

480000.00​

229724.75​

165401.82​

5.00%​

35486.24​

15613.94​

17​

37​

500000​

30000​

775210.99​

341092.84​

626692.84​

510000.00​

265210.99​

190951.91​

5.00%​

38760.55​

17054.64​

18​

38​

500000​

30000​

843971.54​

371347.48​

673747.48​

540000.00​

303971.54​

218859.51​

5.00%​

42198.58​

18567.37​

19​

39​

500000​

30000​

916170.12​

403114.85​

722314.85​

570000.00​

346170.12​

249242.48​

5.00%​

45808.51​

20155.74​

20​

40​

500000​

30000​

991978.62​

436470.59​

772470.59​

600000.00​

391978.62​

282224.61​

5.00%​

49598.93​

21823.53​

21​

41​

500000​

30000​

1071577.55​

471494.12​

824294.12​

630000.00​

441577.55​

317935.84​

5.00%​

53578.88​

23574.71​

22​

42​

500000​

30000​

1155156.43​

508268.83​

877868.83​

660000.00​

495156.43​

356512.63​

5.00%​

57757.82​

25413.44​

23​

43​

500000​

30000​

1242914.25​

546882.27​

933282.27​

690000.00​

552914.25​

398098.26​

5.00%​

62145.71​

27344.11​

24​

44​

500000​

30000​

1335059.97​

587426.39​

990626.39​

720000.00​

615059.97​

442843.18​

5.00%​

66753.00​

29371.32​

25​

45​

500000​

30000​

1431812.96​

629997.70​

1049997.70​

750000.00​

681812.96​

490905.33​

5.00%​

71590.65​

31499.89​

26​

46​

500000​

30000​

1533403.61​

674697.59​

1111497.59​

780000.00​

753403.61​

542450.60​

5.00%​

76670.18​

33734.88​

27​

47​

500000​

30000​

1640073.79​

721632.47​

1175232.47​

810000.00​

830073.79​

597653.13​

5.00%​

82003.69​

36081.62​

28​

48​

500000​

30000​

1752077.48​

770914.09​

1241314.09​

840000.00​

912077.48​

656695.79​

5.00%​

87603.87​

38545.70​

29​

49​

500000​

30000​

1869681.36​

822659.80​

1309859.80​

870000.00​

999681.36​

719770.58​

5.00%​

93484.07​

41132.99​

30​

50​

500000​

30000​

1993165.43​

876992.79​

1380992.79​

900000.00​

1093165.43​

787079.11​

5.00%​

99658.27​

43849.64​

31​

51​

500000​

30000​

2122823.70​

934042.43​

1454842.43​

930000.00​

1192823.70​

858833.06​

5.00%​

106141.18​

46702.12​

32​

52​

500000​

30000​

2258964.88​

993944.55​

1531544.55​

960000.00​

1298964.88​

935254.71​

5.00%​

112948.24​

49697.23​

33​

53​

500000​

30000​

2401913.13​

1056841.78​

1611241.78​

990000.00​

1411913.13​

1016577.45​

5.00%​

120095.66​

52842.09​

34​

54​

500000​

30000​

2552008.78​

1122883.86​

1694083.86​

1020000.00​

1532008.78​

1103046.32​

5.00%​

127600.44​

56144.19​

35​

55​

500000​

30000​

2709609.22​

1192228.06​

1780228.06​

1050000.00​

1659609.22​

1194918.64​

5.00%​

135480.46​

59611.40​

36​

56​

500000​

30000​

2875089.68​

1265039.46​

1869839.46​

1080000.00​

1795089.68​

1292464.57​

5.00%​

143754.48​

63251.97​

37​

57​

500000​

30000​

3048844.17​

1341491.43​

1963091.43​

1110000.00​

1938844.17​

1395967.80​

5.00%​

152442.21​

67074.57​

38​

58​

500000​

30000​

3231286.37​

1421766.00​

2060166.00​

1140000.00​

2091286.37​

1505726.19​

5.00%​

161564.32​

71088.30​

39​

59​

500000​

30000​

3422850.69​

1506054.30​

2161254.30​

1170000.00​

2252850.69​

1622052.50​

5.00%​

171142.53​

75302.72​

40​

60​

500000​

30000​

3623993.23​

1594557.02​

2266557.02​

1200000.00​

2423993.23​

1745275.12​

5.00%​

181199.66​

79727.85​

41​

61​

500000​

30000​

3835192.89​

1687484.87​

2376284.87​

1230000.00​

2605192.89​

1875738.88​

5.00%​

191759.64​

84374.24​

42​

62​

500000​

30000​

4056952.53​

1785059.11​

2490659.11​

1260000.00​

2796952.53​

2013805.82​

5.00%​

202847.63​

89252.96​

43​

63​

500000​

30000​

4289800.16​

1887512.07​

2609912.07​

1290000.00​

2999800.16​

2159856.12​

5.00%​

214490.01​

94375.60​

44​

64​

500000​

30000​

4534290.17​

1995087.67​

2734287.67​

1320000.00​

3214290.17​

2314288.92​

5.00%​

226714.51​

99754.38​

45​

65​

500000​

30000​

4791004.68​

2108042.06​

2864042.06​

1350000.00​

3441004.68​

2477523.37​

5.00%​

239550.23​

105402.10​

46​

66​

500000​

30000​

5060554.91​

2226644.16​

2999444.16​

1380000.00​

3680554.91​

2649999.54​

5.00%​

253027.75​

111332.21​

47​

67​

500000​

30000​

5343582.66​

2351176.37​

3140776.37​

1410000.00​

3933582.66​

2832179.51​

5.00%​

267179.13​

117558.82​

48​

68​

500000​

30000​

5640761.79​

2481935.19​

3288335.19​

1440000.00​

4200761.79​

3024548.49​

5.00%​

282038.09​

124096.76​

49​

69​

500000​

30000​

5952799.88​

2619231.95​

3442431.95​

1470000.00​

4482799.88​

3227615.91​

5.00%​

297639.99​

130961.60​

50​

70​

500000​

30000​

6280439.87​

2763393.54​

3603393.54​

1500000.00​

4780439.87​

3441916.71​

5.00%​

314021.99​

138169.68​

51​

71​

500000​

30000​

6624461.87​

2914763.22​

3771563.22​

1530000.00​

5094461.87​

3668012.54​

5.00%​

331223.09​

145738.16​

52​

72​

500000​

30000​

6985684.96​

3073701.38​

3947301.38​

1560000.00​

5425684.96​

3906493.17​

5.00%​

349284.25​

153685.07​

53​

73​

500000​

30000​

7364969.21​

3240586.45​

4130986.45​

1590000.00​

5774969.21​

4157977.83​

5.00%​

368248.46​

162029.32​

54​

74​

500000​

30000​

7763217.67​

3415815.77​

4323015.77​

1620000.00​

6143217.67​

4423116.72​

5.00%​

388160.88​

170790.79​

55​

75​

500000​

30000​

8181378.55​

3599806.56​

4523806.56​

1650000.00​

6531378.55​

4702592.56​

5.00%​

409068.93​

179990.33​

56​

76​

500000​

30000​

8620447.48​

3792996.89​

4733796.89​

1680000.00​

6940447.48​

4997122.18​

5.00%​

431022.37​

189649.84​

57​

77​

500000​

30000​

9081469.85​

3995846.73​

4953446.73​

1710000.00​

7371469.85​

5307458.29​

5.00%​

454073.49​

199792.34​

58​

78​

500000​

30000​

9565543.34​

4208839.07​

5183239.07​

1740000.00​

7825543.34​

5634391.21​

5.00%​

478277.17​

210441.95​

59​

79​

500000​

30000​

10073820.51​

4432481.02​

5423681.02​

1770000.00​

8303820.51​

5978750.77​

5.00%​

503691.03​

221624.05​

60​

80​

500000​

30000​

10607511.54​

4667305.08​

5675305.08​

1800000.00​

8807511.54​

6341408.31​

5.00%​

530375.58​

233365.25​

61​

81​

500000​

30000​

11167887.11​

4913870.33​

5938670.33​

1830000.00​

9337887.11​

6723278.72​

5.00%​

558394.36​

245693.52​

62​

82​

500000​

30000​

11756281.47​

5172763.85​

6214363.85​

1860000.00​

9896281.47​

7125322.66​

5.00%​

587814.07​

258638.19​

63​

83​

500000​

30000​

12374095.54​

5444602.04​

6503002.04​

1890000.00​

10484095.54​

7548548.79​

5.00%​

618704.78​

272230.10​

64​

84​

500000​

30000​

13022800.32​

5730032.14​

6805232.14​

1920000.00​

11102800.32​

7994016.23​

5.00%​

651140.02​

286501.61​

65​

85​

500000​

30000​

13703940.34​

6029733.75​

7121733.75​

1950000.00​

11753940.34​

8462837.04​

5.00%​

685197.02​

301486.69​

66​

86​

500000​

30000​

14419137.35​

6344420.44​

7453220.44​

1980000.00​

12439137.35​

8956178.89​

5.00%​

720956.87​

317221.02​

67​

87​

500000​

30000​

15170094.22​

6674841.46​

7800441.46​

2010000.00​

13160094.22​

9475267.84​

5.00%​

758504.71​

333742.07​

68​

88​

500000​

30000​

15958598.93​

7021783.53​

8164183.53​

2040000.00​

13918598.93​

10021391.23​

5.00%​

797929.95​

351089.18​

69​

89​

500000​

30000​

16786528.88​

7386072.71​

8545272.71​

2070000.00​

14716528.88​

10595900.79​

5.00%​

839326.44​

369303.64​

70​

90​

500000​

30000​

17655855.32​

7768576.34​

8944576.34​

2100000.00​

15555855.32​

11200215.83​

5.00%​

882792.77​

388428.82​

 

[BRICKSONLY]

想不到你计算得如此专业，并应用到日常买菜上。。。财富从来不是这样计算出来的。。。大的财富，都是拼出来的。。。包括巴菲特。。。