In: Finance
Company A offers you an initial salary of $150,000 with annual raises of 10% for the foreseeable future. Company B offers you $180,000 with annual raises of 8% for the foreseeable future.
A.) How many years will it take for the A salary to equal the B salary?
B.) How many years will it take for the total dollars received from A to equal the total dollars received from B?
| Years | Company A | Company B | |||
|
Salary [Previous Salary*(1.1)] |
Total $ received [Current Salary+All Previous Salaries] |
Salary [Previous Salary*(1.08)] |
Total $ received [Current Salary+All Previous Salaries] |
||
| 1 | 150000 | 150000 | 180000 | 180000 | |
| 2 | 165000 | 315000 | 194400 | 374400 | |
| 3 | 181500 | 496500 | 209952 | 584352 | |
| 4 | 199650 | 696150 | 226748.16 | 811100.16 | |
| 5 | 219615 | 915765 | 244888.0128 | 1055988.173 | |
| 6 | 241576.5 | 1157341.5 | 264479.0538 | 1320467.227 | |
| 7 | 265734.15 | 1423075.65 | 285637.3781 | 1606104.605 | |
| 8 | 292307.565 | 1715383.215 | 308488.3684 | 1914592.973 | |
| 9 | 321538.3215 | 2036921.537 | 333167.4379 | 2247760.411 | |
| 10 | 353692.1537 | 2390613.69 | 359820.8329 | 2607581.244 | |
| 11 | 389061.369 | 2779675.059 | 388606.4995 | 2996187.743 | |
| 12 | 427967.5059 | 3207642.565 | 419695.0195 | 3415882.763 | |
| 13 | 470764.2565 | 3678406.822 | 453270.621 | 3869153.384 | |
| 14 | 517840.6822 | 4196247.504 | 489532.2707 | 4358685.655 | |
| 15 | 569624.7504 | 4765872.254 | 528694.8524 | 4887380.507 | |
| 16 | 626587.2254 | 5392459.48 | 570990.4406 | 5458370.948 | |
| 17 | 689245.948 | 6081705.427 | 616669.6758 | 6075040.623 | |
A) 11 years B) 17 years