Question

1. Janine is 48 and has a good job at a biotechnology company. Janine estimates that she will need $943,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $22,000 a year. (She expects that Social Security will pay her an additional $19,500 a year.) She currently has $6,000 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 will Janine’s IRA be worth when she needs to start withdrawing money from it when she retires? Use Exhibit 1-A. (Round time value factor to 3 decimal places and answer to 2 decimal places.) 2. Janine is 35 and has a good job at a biotechnology company. Janine estimates that she will need $964,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $28,000 a year. (She expects that Social Security will pay her an additional $16,500 a year.) She currently has $8,500 in an IRA, an important part of her retirement nest egg. She believes her IRA will grow at an annual rate of 6 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 30 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.)

Answer 1

1. Janine is 48 and has a good job at a biotechnology company. Janine estimates that she will need $943,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $22,000 a year. (She expects that Social Security will pay her an additional $19,500 a year.) She currently has $6,000 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 will Janine’s IRA be worth when she needs to start withdrawing money from it when she retires?

Ans: IRA Accumulation till Age 65 = Current Amount * (1 + Interest)^Years

IRA Accumulation till Age 65 = 6000 * (1 + 0.08)^(65-48)

IRA Accumulation till Age 65 = 6000 * (1 + 0.08)^17

IRA Accumulation till Age 65 = 6000 * 3.700

IRA Accumulation till Age 65 = $22200.00

2. Janine is 35 and has a good job at a biotechnology company. Janine estimates that she will need $964,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $28,000 a year. (She expects that Social Security will pay her an additional $16,500 a year.) She currently has $8,500 in an IRA, an important part of her retirement nest egg. She believes her IRA will grow at an annual rate of 6 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 30 years in order to reach her retirement income goal?

IRA Accumulation till Age 65 = Current Amount * (1 + Interest)^Years

IRA Accumulation till Age 65 = 8500 * (1 + 0.06)^(65-35)

IRA Accumulation till Age 65 = 8500 * (1 + 0.06)^30

IRA Accumulation till Age 65 = 6000 * 5.743

IRA Accumulation till Age 65 = $34458.00

How much money will Janine have to accumulate in her company’s 401(k) plan over the next 30 years in order to reach her retirement income goal? = Amount needed at age 65 - IRA Accumulated Balance

= 964000 - 34458

= $929542.00

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