到底一次領2千萬元,還是月領12.5萬元划算?

前言

最近舉重女神郭婞淳在2020奧運會奪下金牌,她可以選擇一次領取2000萬的國光獎金,或是選擇每個月領取12.5萬元的終身俸,那到底哪個比較划算呢?


到底一次領2千萬元,還是月領12.5萬元划算?

廢話不多說,直接用數據算給你看(這邊都是將領到的錢全數用於投資,搭配預估報酬率做試算):

一次領2千萬元

一次領取2000萬元初始本金NT$0NT$0NT$0
預估年化報酬率10.00%9.00%5.00%
第N年年初投入資金年末本金年末本金年末本金
20211NT$20,000,000NT$22,000,000NT$21,800,000NT$21,000,000
20222NT$0NT$24,200,000NT$23,762,000NT$22,050,000
20233NT$0NT$26,620,000NT$25,900,580NT$23,152,500
20244NT$0NT$29,282,000NT$28,231,632NT$24,310,125
20255NT$0NT$32,210,200NT$30,772,479NT$25,525,631
20266NT$0NT$35,431,220NT$33,542,002NT$26,801,913
20277NT$0NT$38,974,342NT$36,560,782NT$28,142,008
20288NT$0NT$42,871,776NT$39,851,253NT$29,549,109
20299NT$0NT$47,158,954NT$43,437,866NT$31,026,564
203010NT$0NT$51,874,849NT$47,347,273NT$32,577,893
203111NT$0NT$57,062,334NT$51,608,528NT$34,206,787
203212NT$0NT$62,768,568NT$56,253,296NT$35,917,127
203313NT$0NT$69,045,424NT$61,316,092NT$37,712,983
203414NT$0NT$75,949,967NT$66,834,541NT$39,598,632
203515NT$0NT$83,544,963NT$72,849,649NT$41,578,564
203616NT$0NT$91,899,460NT$79,406,118NT$43,657,492
203717NT$0NT$101,089,406NT$86,552,668NT$45,840,366
203818NT$0NT$111,198,346NT$94,342,408NT$48,132,385
203919NT$0NT$122,318,181NT$102,833,225NT$50,539,004
204020NT$0NT$134,549,999NT$112,088,215NT$53,065,954
204121NT$0NT$148,004,999NT$122,176,155NT$55,719,252
204222NT$0NT$162,805,499NT$133,172,009NT$58,505,214
204323NT$0NT$179,086,049NT$145,157,489NT$61,430,475
204424NT$0NT$196,994,654NT$158,221,663NT$64,501,999
204525NT$0NT$216,694,119NT$172,461,613NT$67,727,099
204626NT$0NT$238,363,531NT$187,983,158NT$71,113,454
204727NT$0NT$262,199,884NT$204,901,643NT$74,669,126
204828NT$0NT$288,419,872NT$223,342,790NT$78,402,583
204929NT$0NT$317,261,859NT$243,443,642NT$82,322,712
205030NT$0NT$348,988,045NT$265,353,569NT$86,438,848
205131NT$0NT$383,886,850NT$289,235,391NT$90,760,790
205232NT$0NT$422,275,535NT$315,266,576NT$95,298,829
205333NT$0NT$464,503,088NT$343,640,568NT$100,063,771
205434NT$0NT$510,953,397NT$374,568,219NT$105,066,959
205535NT$0NT$562,048,737NT$408,279,358NT$110,320,307
205636NT$0NT$618,253,611NT$445,024,501NT$115,836,323
205737NT$0NT$680,078,972NT$485,076,706NT$121,628,139
205838NT$0NT$748,086,869NT$528,733,609NT$127,709,546
205939NT$0NT$822,895,556NT$576,319,634NT$134,095,023
206040NT$0NT$905,185,111NT$628,188,401NT$140,799,774
206141NT$0NT$995,703,622NT$684,725,357NT$147,839,763
206242NT$0NT$1,095,273,985NT$746,350,639NT$155,231,751
206343NT$0NT$1,204,801,383NT$813,522,197NT$162,993,339
206444NT$0NT$1,325,281,522NT$886,739,195NT$171,143,006
206545NT$0NT$1,457,809,674NT$966,545,722NT$179,700,156
206646NT$0NT$1,603,590,641NT$1,053,534,837NT$188,685,164
206747NT$0NT$1,763,949,705NT$1,148,352,972NT$198,119,422
206848NT$0NT$1,940,344,676NT$1,251,704,740NT$208,025,393
206949NT$0NT$2,134,379,143NT$1,364,358,167NT$218,426,663
207050NT$0NT$2,347,817,058NT$1,487,150,402NT$229,347,996

月領12.5萬元(每年領150萬元)

每月領12.5萬元(每年150萬元)初始本金NT$0NT$0NT$0
預估年化報酬率10.00%9.00%5.00%
第N年年初投入資金年末本金年末本金年末本金
20211NT$0NT$0NT$0NT$0
20222NT$1,500,000NT$1,650,000NT$1,635,000NT$1,575,000
20233NT$1,500,000NT$3,465,000NT$3,417,150NT$3,228,750
20244NT$1,500,000NT$5,461,500NT$5,359,694NT$4,965,188
20255NT$1,500,000NT$7,657,650NT$7,477,066NT$6,788,447
20266NT$1,500,000NT$10,073,415NT$9,785,002NT$8,702,869
20277NT$1,500,000NT$12,730,757NT$12,300,652NT$10,713,013
20288NT$1,500,000NT$15,653,832NT$15,042,711NT$12,823,663
20299NT$1,500,000NT$18,869,215NT$18,031,555NT$15,039,846
203010NT$1,500,000NT$22,406,137NT$21,289,395NT$17,366,839
203111NT$1,500,000NT$26,296,751NT$24,840,440NT$19,810,181
203212NT$1,500,000NT$30,576,426NT$28,711,080NT$22,375,690
203313NT$1,500,000NT$35,284,068NT$32,930,077NT$25,069,474
203414NT$1,500,000NT$40,462,475NT$37,528,784NT$27,897,948
203515NT$1,500,000NT$46,158,723NT$42,541,374NT$30,867,845
203616NT$1,500,000NT$52,424,595NT$48,005,098NT$33,986,238
203717NT$1,500,000NT$59,317,054NT$53,960,557NT$37,260,550
203818NT$1,500,000NT$66,898,760NT$60,452,007NT$40,698,577
203919NT$1,500,000NT$75,238,636NT$67,527,688NT$44,308,506
204020NT$1,500,000NT$84,412,499NT$75,240,179NT$48,098,931
204121NT$1,500,000NT$94,503,749NT$83,646,796NT$52,078,878
204222NT$1,500,000NT$105,604,124NT$92,810,007NT$56,257,822
204323NT$1,500,000NT$117,814,536NT$102,797,908NT$60,645,713
204424NT$1,500,000NT$131,245,990NT$113,684,720NT$65,252,998
204525NT$1,500,000NT$146,020,589NT$125,551,344NT$70,090,648
204626NT$1,500,000NT$162,272,648NT$138,485,965NT$75,170,181
204727NT$1,500,000NT$180,149,913NT$152,584,702NT$80,503,690
204828NT$1,500,000NT$199,814,904NT$167,952,325NT$86,103,874
204929NT$1,500,000NT$221,446,395NT$184,703,035NT$91,984,068
205030NT$1,500,000NT$245,241,034NT$202,961,308NT$98,158,271
205131NT$1,500,000NT$271,415,137NT$222,862,826NT$104,641,185
205232NT$1,500,000NT$300,206,651NT$244,555,480NT$111,448,244
205333NT$1,500,000NT$331,877,316NT$268,200,473NT$118,595,656
205434NT$1,500,000NT$366,715,048NT$293,973,516NT$126,100,439
205535NT$1,500,000NT$405,036,553NT$322,066,132NT$133,980,461
205636NT$1,500,000NT$447,190,208NT$352,687,084NT$142,254,484
205737NT$1,500,000NT$493,559,229NT$386,063,921NT$150,942,208
205838NT$1,500,000NT$544,565,152NT$422,444,674NT$160,064,319
205939NT$1,500,000NT$600,671,667NT$462,099,695NT$169,642,535
206040NT$1,500,000NT$662,388,834NT$505,323,668NT$179,699,661
206141NT$1,500,000NT$730,277,717NT$552,437,798NT$190,259,644
206242NT$1,500,000NT$804,955,489NT$603,792,199NT$201,347,627
206343NT$1,500,000NT$887,101,037NT$659,768,497NT$212,990,008
206444NT$1,500,000NT$977,461,141NT$720,782,662NT$225,214,508
206545NT$1,500,000NT$1,076,857,255NT$787,288,102NT$238,050,234
206646NT$1,500,000NT$1,186,192,981NT$859,779,031NT$251,527,745
206747NT$1,500,000NT$1,306,462,279NT$938,794,144NT$265,679,133
206848NT$1,500,000NT$1,438,758,507NT$1,024,920,617NT$280,538,089
206949NT$1,500,000NT$1,584,284,357NT$1,118,798,472NT$296,139,994
207050NT$1,500,000NT$1,744,362,793NT$1,221,125,335NT$312,521,994

結論

基本上,只有在年酬化報酬率低於6%的情況下,月領12.5萬的累積總資產才有機會超越一次領2千萬元,而9%~10%的報酬率為美股大盤(標普500指數,或SPY/VOO等)過去50年以上的平均年酬化報酬率,更不用說最近10年美股大盤有超過13%的年酬化報酬率,納斯達克更超過15%以上。

當然了,這只是假設狀況,有可能你一次投入之後遇到金融海嘯,資產先腰斬,再者,資產也不可能每年依照那樣的幅度增值,一定有高有低,但是長期(10年以上)來說,一次投入還是比分批慢慢投入擁有更高的效益,因為你在早期就擁有龐大可以複利的本金。

最後再來說說分批領取的風險:
1.你要活得夠長,才能享受到那樣的資產。
2.你無法預估台幣的地位,或許50年後,台幣變成壁紙,一個月12.5萬只能買一顆茶葉蛋。

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