Question

Janine is 25 and has a good job at a biotechnology company. She currently has $5,000 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.

Janine estimates that she will need $875,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $20,000 a year (she expects that Social Security will pay her an additional $15,000 a year).
How much will Janine's IRA be worth when she needs to start withdrawing money from it when she retires?

Answer 1

$108,622.60

Step-by-step explanation:

Calculation for the amount Janine's IRA will worth when she needs to start withdrawing money from it when she retires

Based on the information given we were told that She has the amount of $5,000 in an IRA, which is a vital part of her retirement nest egg in which She has well believes that her IRA will increase at an annual rate of 8%.

Secondly we were told that she is 25 age and plan to retire at the age of 65 which means that the number of years until her retirement will be 40 years(65 years-25 years)

Now let calculate how much she will be worth using this formula

Amount worth= Present value in IRA*(Annual rate increase)^ Numbers of years until retirement

Let plug in the formula

Amount worth=5,000 *(1 + 0.08)^40 =

Amount worth=5,000*(1.08)^40

Amount worth =5,000*21.72452

Amount worth= $108,622.60

Therefore Janine's IRA will be worth $108,622.60 when she needs to start withdrawing money from it when she retires.