Question

In: Finance

Company A offers you an initial salary of $150,000 with annual raises of 10% for the...

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?

Solutions

Expert Solution

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


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