In: Finance
. If you die when you are 90 years old, how much money will be left to bequeath?
This is a very open ended question. Considering the question
preparer is aware of these dependencies, its safe to assume the
data as per answerer's specific data. I will try to create a
dynamic linked model in excel and share the image of linkages so
that you may be able to change the parameters
Assumptions- Investments and savings grow @7% before and after
retirement. Expenses will continue to grow @ inflation before and
after retirement.
Current age | 30 |
Retirement age | 60 |
Life expectancy | 90 |
Time to retirement | 30 |
Time after retirement | 30 |
Current savings | 0 |
Current salary | 50,000 |
Salary growth | 5% |
Inflation | 4% |
Fixed expenses | 25,000 |
Return on investments | 7% |
Year | Age | Salary | Expenses | Surplus to savings | Growth in surplus | PV of surplus |
1 | 30 | 50,000 | 25,000 | 25,000 | 25,000 | 23,364 |
2 | 31 | 52,500 | 26,000 | 26,500 | 53,250 | 46,511 |
3 | 32 | 55,125 | 27,040 | 28,085 | 85,063 | 69,436 |
4 | 33 | 57,881 | 28,122 | 29,760 | 120,777 | 92,140 |
5 | 34 | 60,775 | 29,246 | 31,529 | 160,760 | 114,619 |
6 | 35 | 63,814 | 30,416 | 33,398 | 205,411 | 136,874 |
7 | 36 | 67,005 | 31,633 | 35,372 | 255,161 | 158,902 |
8 | 37 | 70,355 | 32,898 | 37,457 | 310,479 | 180,702 |
9 | 38 | 73,873 | 34,214 | 39,659 | 371,871 | 202,273 |
10 | 39 | 77,566 | 35,583 | 41,984 | 439,886 | 223,616 |
11 | 40 | 81,445 | 37,006 | 44,439 | 515,117 | 244,728 |
12 | 41 | 85,517 | 38,486 | 47,031 | 598,205 | 265,610 |
13 | 42 | 89,793 | 40,026 | 49,767 | 689,847 | 286,262 |
14 | 43 | 94,282 | 41,627 | 52,656 | 790,792 | 306,683 |
15 | 44 | 98,997 | 43,292 | 55,705 | 901,852 | 326,873 |
16 | 45 | 103,946 | 45,024 | 58,923 | 1,023,904 | 346,832 |
17 | 46 | 109,144 | 46,825 | 62,319 | 1,157,897 | 366,560 |
18 | 47 | 114,601 | 48,698 | 65,903 | 1,304,853 | 386,059 |
19 | 48 | 120,331 | 50,645 | 69,686 | 1,465,878 | 405,327 |
20 | 49 | 126,348 | 52,671 | 73,676 | 1,642,166 | 424,367 |
21 | 50 | 132,665 | 54,778 | 77,887 | 1,835,004 | 443,178 |
22 | 51 | 139,298 | 56,969 | 82,329 | 2,045,783 | 461,760 |
23 | 52 | 146,263 | 59,248 | 87,015 | 2,276,003 | 480,116 |
24 | 53 | 153,576 | 61,618 | 91,958 | 2,527,282 | 498,245 |
25 | 54 | 161,255 | 64,083 | 97,172 | 2,801,364 | 516,149 |
26 | 55 | 169,318 | 66,646 | 102,672 | 3,100,131 | 533,829 |
27 | 56 | 177,784 | 69,312 | 108,472 | 3,425,612 | 551,285 |
28 | 57 | 186,673 | 72,084 | 114,589 | 3,779,994 | 568,519 |
29 | 58 | 196,006 | 74,968 | 121,039 | 4,165,632 | 585,533 |
30 | 59 | 205,807 | 77,966 | 127,840 | 4,585,067 | 602,327 |
31 | 60 | 216,097 | 81,085 | 135,012 | 5,041,034 | 618,903 |
32 | 61 | - | 84,328 | (84,328) | 5,309,578 | 609,227 |
33 | 62 | - | 87,701 | (87,701) | 5,593,547 | 599,822 |
34 | 63 | - | 91,210 | (91,210) | 5,893,886 | 590,681 |
35 | 64 | - | 94,858 | (94,858) | 6,211,600 | 581,797 |
36 | 65 | - | 98,652 | (98,652) | 6,547,760 | 573,161 |
37 | 66 | - | 102,598 | (102,598) | 6,903,504 | 564,768 |
38 | 67 | - | 106,702 | (106,702) | 7,280,047 | 556,610 |
39 | 68 | - | 110,970 | (110,970) | 7,678,680 | 548,680 |
40 | 69 | - | 115,409 | (115,409) | 8,100,779 | 540,973 |
41 | 70 | - | 120,026 | (120,026) | 8,547,808 | 533,482 |
42 | 71 | - | 124,827 | (124,827) | 9,021,328 | 526,201 |
43 | 72 | - | 129,820 | (129,820) | 9,523,001 | 519,124 |
44 | 73 | - | 135,012 | (135,012) | 10,054,599 | 512,246 |
45 | 74 | - | 140,413 | (140,413) | 10,618,008 | 505,560 |
46 | 75 | - | 146,029 | (146,029) | 11,215,239 | 499,062 |
47 | 76 | - | 151,871 | (151,871) | 11,848,436 | 492,746 |
48 | 77 | - | 157,945 | (157,945) | 12,519,881 | 486,608 |
49 | 78 | - | 164,263 | (164,263) | 13,232,009 | 480,641 |
50 | 79 | - | 170,834 | (170,834) | 13,987,416 | 474,841 |
51 | 80 | - | 177,667 | (177,667) | 14,788,868 | 469,205 |
52 | 81 | - | 184,774 | (184,774) | 15,639,315 | 463,726 |
53 | 82 | - | 192,165 | (192,165) | 16,541,902 | 458,401 |
54 | 83 | - | 199,851 | (199,851) | 17,499,984 | 453,225 |
55 | 84 | - | 207,845 | (207,845) | 18,517,138 | 448,194 |
56 | 85 | - | 216,159 | (216,159) | 19,597,178 | 443,304 |
57 | 86 | - | 224,806 | (224,806) | 20,744,175 | 438,552 |
58 | 87 | - | 233,798 | (233,798) | 21,962,470 | 433,932 |
59 | 88 | - | 243,150 | (243,150) | 23,256,693 | 429,443 |
60 | 89 | - | 252,876 | (252,876) | 24,631,786 | 425,079 |
61 | 90 | - | 262,991 | (262,991) | 26,093,020 | 420,837 |
Based on these assumptions, when I die at the age of 90, there
will $26.1M left at nominal future value or $421k at today's
value.