Question

Ferdinand’s employer will match 50% of his $250 monthly contributions to his 401(k). This means that Ferdinand’s employer will put 50% of $250 = $125 into Ferdinand’s 401(k) account each month in addition to Ferdinand’s $250. What a swell benefit

Answer 1

Answer and Explanation:

The computation of the given question is shown below:-

Total Contributions = Monthly contribution + Amount invested in Ferdinand’s 401(k)

= $250 + $125

= $375

1. Future Value = PMT [((1 + r)n - 1) ÷ r

Future value = 375 × ((1 + 0.03 ÷ 12) × 12 × 40 - 1) ÷ (0.03 ÷ 12)

= $347,272

2. Ferdinand deposit = Given Amount × Total number of months in a year × Number of years

= $250 × 12 Months × 40 Years

= $120,000

3. The Amount put in by the employer = 50% of $250 ×Total number of months in a year × Number of years

= $125 × 12 Months × 40 Years

= $60,000

4. Interest = Future value - Ferdinand deposit - The Amount put in by the employer

= $347,272 - $120,000 - $60,000

= $167,272

We simply applied the above formulas