1. Today, you celebrated your 30^th birthday. You just landed a new job at Ford Motor Company. Ford provides you a 401-k plan, and you decide to deposit $400 every month for 15 years. City matches your 401-k at 100% (matching funds are deposited annually) and pays interest at 6.6% compounded monthly. At the end of 15 years you change the job to Volkswagen (VW), and you decide to roll-over your entire 401-k to VW.

At Volkswagen, you contribute 7% of your salary to the 401-k; deposits are made annually. Your starting salary at Volkswagen is $75,000 and you expect to earn 2% pay raise every year. Volkswagen matches your 401-k at 75% (matching funds are deposited annually).

You had a hardship withdrawal of $50,000 at age 52. The money was returned to account at age 58.

Volkswagen 401-k account pays interest at 8% compounded quarterly. (Caution not a typo)

You retire from VW when you reach 63.

On your 63^rd birthday, you do a trustee to trustee rollover of your money from VW to Charles Schwab. That account pays interest at 7.2% compounded monthly. You leave the account at Schwab for the rest of your life.

You withdraw $60,000 from your account at Schwab on your 67^th birthday.

1. Determine the total account balance (including company match) in your VW account on your 63^rd birthday.

2. Beginning age 70, you start withdrawing $11,000 every month.

Also, you withdrew $50,000 (a one-time withdrawal for the birthday party) on your 75^th birthday.

Determine the balance in the account on your 80^th birthday.

3. Beginning age 80, you will start withdrawing an amount every month, so that the balance at age 90 is zero. What is that monthly withdrawal amount?

1. Ford Motor Company Find the Account Balance at age 45: age 30-45 (1^st 15 years)

You: PMT= $400.00, N= 12(15)= 180 months, I= 6.6/12=.55% month = FV $122,468.67

Company: I=6.6 CM EAR=6.8034%

FV when PMT = 400(12) = 6000/year, N = 15 years, I = 6.8034% per year FV $148,510.52

Total Balance at end of year 15, at 45 years old = $270,979.19

2. Volkswagen: Find the account balance at age 63.

EAR at Volkswagen: If the interest rate is 8% CQ, the EAR = 8.2432 %

Rollover money:

Find FV when PV = 270,979, N = 216 months, and I = 8/4 = .02% per month

FV = $282, 940.61

Your & Company Contribution:

First year: your contribution is 7% of $75k or $5,250; deposits made annually

Co. Match in 1^st year: At 75%, the match = 0.75(5250) = $3937.50; deposits made annually.

Total Deposit at end of first year = $9187.50.