3 Problem 18-4 Calculating an IRA Accumulation [LO18-5] Janine is 47 and has a g

Question

3 Problem 18-4 Calculating an IRA Accumulation [LO18-5] Janine is 47 and has a good job at a biotechnology company. Janine estimates that she will need $955,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $28,500 a year. (She expects that Social Security will pay her an additional $21,500 a year) She currently has $6,500 in an IRA, an important part of her retirement nest egg. She believes her IRA will grow at an annual rate of 8 percent, and she plans to leave it untouched until she retires at age 65. How much money will Janine have to accumulate in her company's 401(k) plan over the next 18 years in order to reach her retirement income goal? Use Exhibit 1.A. (Round time value factor to 3 decimal places. Round intermediate and final answer to 2 decimal places.) 10 points Ask 401(k) accumulation Print References

Explanation / Answer

Computation of amount that should be accumulated in Company's 401(k) plan over next 18years:
Accumulated amount = Total nest egg required by the time of 65 - Future value of compounded sum of IRA after 18 years at 8% growth rate
= $955,000 - $6,500 * (1+8%)18
= $955,000 - $6,500 * 3.996
= $955,000 - 25,974
=$929,026 is the money she'll have to accumulate.

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