Please check and make sure that the parts already answered are correct and then
ID: 2652728 • Letter: P
Question
Please check and make sure that the parts already answered are correct and then finish the problem.
A. If you deposited the following amount per month (S500) from your paycheck from the time you graduate from school (2016) until you retire (at age 73) and your employer matched your contribution (i.e. he/she deposited the same amount to your retirement account), how much wealth would you have accumulated? (Be sure to include your age when you graduate). The annual interest rate you will earn should be =letters in your first name X 1.05%. There are 11 letters in my first name. I will be 23 when I graduate in 2016 B. Ifyou waited for 8 years after graduation to begin this retirement plan, what would your balance be at retirement? C. Based on your final answers to A above, what would your retirement income be once you retired if you a. earned 4.25% and only lived offthe earnings (did not draw down the principle- every month you took out the interest and left the initial amount to eam the same amount ofinterest-think simple interest) b earned 5.25% and created an annuity to last until you were 85 years old (this means that by age 85 your balance should be equal to zero) D. Write at least 2 paragraphs on the costs and benefits (risks and rewards) of each of the plans outlined in number CExplanation / Answer
(a) You have taken monthly deposit incorrect as you have not considered the employer contribution.
Number of Month i retire = (73-23)*12 = 600 Month
Annual Interest rate = 11*1.05% = 11.55%
monthly interest rate = 11.55/12 = 0.96%
Hence
Future Total Value = Monthly Deposit*Future value interest factor of annuity,0.96%,600
Future Total Value = 1000*((1.0096)^600 - 1)/0.96%
Future Total Value -= $ 32,057,156
b)
If you wait 8 year, No of month = (73-23-8)*12 = 504
Future Total Value = Monthly Deposit*Future value interest factor of annuity,0.96%,504
Future Total Value = 1000*((1.0096)^504 - 1)/0.96%
Future Total Value -= $ 12,748,614
c)
(a) Total Innvestment = 32,057,156
Monthly Interest rate = 4.25%/12 = 0.35%
Monthly Interest Income = 32,057,156 * 0.35%
Monthly Interest Income = $ 112,200
(b)
Total Innvestment = 32,057,156
Monthly Interest rate = 5.25%/12 = 0.4375%
Number of month till 85 year = (85-73)*12 = 144
Monthly Withdrawl = 32,057,156 /((1-(1.004375)^-144 )/0.4375% )
Monthly Withdrawl = $ 300,529
Note : Please consider rounded off according to question or instruction as nothing mention you may assume intermediated rounding 2 decimal places or there is no rounding , so answer may be slightly change according to your assumption