Ruby is 25 and has a good job at a biotechnology company. She currently has $10200 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. Ruby estimates that she will need $886000 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).

Calculate how much will Rubys IRA be worth when she needs to start withdrawing money from it when she retires. Use this number to calculate how much money will she have to accumulate in her companys 401(k) plan over the next 40 years in order to reach her retirement income goal?