Your first job out of college will pay you $59,000 in year 1 (exactly one year from today), growing at a rate of 3.1% per year thereafter. You will also receive a one time bonus of $37,000 at the same time as your first salary. You plan to retire in 39 years (you'll receive 39 years of salary). If the applicable discount rate is 6%, what is the present value of these future earnings today? Round to the nearest cent.
The correct answer is : $ 1,379,763.07
Note:
Year | Salary | Discounting Factor ( 6%) | (Present Value = Salary * Discounting Factor) |
1 | 96,000.000000000 | 0.943396226 | 90,566.037735849 |
2 | 60,829.000000000 | 0.889996440 | 54,137.593449626 |
3 | 62,714.699000000 | 0.839619283 | 52,656.470609967 |
4 | 64,658.854669000 | 0.792093663 | 51,215.869055543 |
5 | 66,663.279163739 | 0.747258173 | 49,814.680185156 |
6 | 68,729.840817815 | 0.704960540 | 48,451.825727260 |
7 | 70,860.465883167 | 0.665057114 | 47,126.256910193 |
8 | 73,057.140325545 | 0.627412371 | 45,836.953655103 |
9 | 75,321.911675637 | 0.591898464 | 44,582.923790954 |
10 | 77,656.890937582 | 0.558394777 | 43,363.202291013 |
11 | 80,064.254556647 | 0.526787525 | 42,176.850530221 |
12 | 82,546.246447903 | 0.496969364 | 41,022.955562885 |
13 | 85,105.180087788 | 0.468839022 | 39,900.629420127 |
14 | 87,743.440670510 | 0.442300964 | 38,809.008426557 |
15 | 90,463.487331295 | 0.417265061 | 37,747.252535642 |
16 | 93,267.855438565 | 0.393646284 | 36,714.544683252 |
17 | 96,159.158957161 | 0.371364419 | 35,710.090158898 |
18 | 99,140.092884833 | 0.350343791 | 34,733.115994174 |
19 | 1,02,213.435764263 | 0.330513010 | 33,782.870367918 |
20 | 1,05,382.052272955 | 0.311804727 | 32,858.622027664 |
21 | 1,08,648.895893416 | 0.294155403 | 31,959.659726907 |
22 | 1,12,017.011666112 | 0.277505097 | 31,085.291677775 |
23 | 1,15,489.539027762 | 0.261797261 | 30,234.845018666 |
24 | 1,19,069.714737622 | 0.246978548 | 29,407.665296457 |
25 | 1,22,760.875894489 | 0.232998631 | 28,603.115962875 |
26 | 1,26,566.463047218 | 0.219810029 | 27,820.577884645 |
27 | 1,30,490.023401682 | 0.207367952 | 27,059.448867046 |
28 | 1,34,535.214127134 | 0.195630143 | 26,319.143190495 |
29 | 1,38,705.805765075 | 0.184556739 | 25,599.091159812 |
30 | 1,43,005.685743792 | 0.174110131 | 24,898.738665817 |
31 | 1,47,438.862001850 | 0.164254840 | 24,217.546758922 |
32 | 1,52,009.466723907 | 0.154957397 | 23,554.991234385 |
33 | 1,56,721.760192348 | 0.146186223 | 22,910.562228916 |
34 | 1,61,580.134758311 | 0.137911531 | 22,283.763828314 |
35 | 1,66,589.118935819 | 0.130105218 | 21,674.113685841 |
36 | 1,71,753.381622829 | 0.122740772 | 21,081.142651040 |
37 | 1,77,077.736453137 | 0.115793181 | 20,504.394408700 |
38 | 1,82,567.146283184 | 0.109238850 | 19,943.425127707 |
39 | 1,88,226.727817962 | 0.103055519 | 19,397.803119496 |
13,79,763.073611810 |
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