The Mathematics of Money

(Darren Dugan) #1

How much would Rita be able to keep if she leaves her job with (a) 3 years, 5 months, (b) 5 years and 11 months, or
(c) 11 years, 4 months of service?



  1. Suppose that Bob’s company (from Exercise 9) instead used 5-year cliff vesting. Rework Exercise 9 with this vesting
    schedule.

  2. Suppose that instead of step vesting, Rita’s company (from Exercise 10) used 5-year cliff vesting. Rework Exercise 5,
    using this vesting schedule.


D. Grab Bag



  1. Suppose your employer offers you a defi ned contribution plan with 50% matching up to 12% of salary. What total
    percent of your salary would be deposited to this plan if you choose to contribute (a) 4%, (b) 8%, (c) 12%, or (d) 16%?

  2. Ethan works for a company that offers both a defi ned contribution plan and a defi ned benefi t plan. Ethan is 22 years
    old. Which plan is probably of most value to him? Why?

  3. Jerianne is debating job offers from two different companies. The two jobs are very similar, and offer comparable
    salary and benefi ts, except that one has a DB plan and the other has a DC plan. Jerianne is 54 years old. Which plan is
    probably more attractive to her?


Most-Lee Quality Products offers its employees a defi ned contribution plan. The vesting schedule is shown below.


Years of Service Completed Vesting Percent

<1 year 0%
1–2 years 25%
2–3 years 50%
3–4 years 75%
4  years 100%

Use this plan in answering Exercises 16 to 17.



  1. Ahmad has worked for the company for 3½ years. Right now, his plan balance is $8,105.45, of which $3,903.15
    comes from the company’s contributions. If he quits his job today, how much of this balance will he be able to keep?

  2. Jennifer has worked for the company for 12 years. Right now, her plan balance is $19,505.99, of which $8,101.55
    comes from the company’s contributions. If she is laid off from her job today, how much of this balance will she be able
    to keep?

  3. Cattarauqua Ginseng Enterprises offers its employees a DB pension plan. The plan pays 1.8% of the 2-fi nal-year
    average salary for each year of service completed. If I made $49,756 last year and $51,845 this year and retire now
    with 18 years of service, what will my annual pension benefi t be?


314 Chapter 7 Retirement Plans

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