Question

Planning for Retirement

Tom and Tricia are 22, newly married, and ready to embark on the journey of life.   They both plan to retire 45 years from today. Because their budget seems tight right now, they had been thinking that they would wait at least 10 years and then start investing $1800 per year to prepare for retirement. Tricia just told Tom, though, that she had heard that they would actually have more money the day they retire if they put $1800 per year away for the next 10 years - and then simply let that money sit for the next 35 years without any additional payments – then they would have MORE when they retired than if they waited 10 years to start investing for retirement and then made yearly payments for 35 years (as they originally planned to do).   Please help Tom and Tricia make an informed decision:   

Assume that all payments are made at the END of the year, and that the rate of return on all yearly investments will be 8% annually.  

(Please do NOT ROUND when entering “Rates” for any of the questions below)

A)How much money will Tom and Tricia have in 45 years if they do nothing for the next 10 years, then put $1800 per year away for the remaining 35 years?

B)How much money will Tom and Tricia have in 10 years if they put $1800 per year away for the next 10 years?

B2) How much will the amount you just computed grow to if it remains invested for the remaining

35 years, but without any additional yearly deposits being made?

c)How much money will Tom and Tricia have in 45 years if they put $1800 per year away for each of the next 45 years? (This amount can be referred to as their “retirement nest egg”)

D) How much money will Todd and Jessalyn have in 45 years if they put away $200 per MONTH at the end off each month for the next 45 years?  (Remember to adjust the 7.2% annual rate to a Rate per month!)  (Round this rate per month to 5 places past the decimal)  example of rounding: .062134 = .06213 or 6.213%

                                                                  

e)If Tom and Tricia wait 25 years (after the kids are raised!) before they put anything away for retirement, how much will they have to put away at the end of each year for 20 years assuming an annual interest rate of 8% in order to have $700,000 saved up on the first day of their retirement 45 years from today?

Answer 1

As per rules I am answering the first 4 subparts of the question

1:

A: Using financial calculator

Input :

Annual payment = PMT = 1800

Number of terms = N = 35

Rate = I/Y = 8%

Find

Future value= FV = $ 310,170.25

2:

B: Using financial calculator

Input :

Annual payment = PMT = 1800

Number of terms = N = 10

Rate = I/Y = 8

Find

Future value= FV = 26,075.81

3:

B2: Using financial calculator

Input :

PV = -26075.81

I/Y = 8

N = 35

FV = 385539.86

4:

C: Using financial calculator

Input :

Annual payment = PMT = 1800

Number of terms = N = 45

Rate = I/Y = 8

Find

FV= 695,710.11