Question

Prepare your retirement plan as followed:  

1. A) Time periods: Estimate how long you have to save and how long you will live after stop working by stating how old you are now ( I am 24) , when you will retire( 60) , and how long you will live(80). (e.g. you are 35 years old, plan to retire at the age of 60 and expected to live until 80, which suggests 25 years of saving period and 20 years of life after the time you stop working.)
2. 2. B) The annual expenses ( food & living, rent / mortgage, healthcare, child care, travelling. ): Estimate how much you will need during those retirement years based on today’s dollar. Also, consider increasing the amount over different periods (e.g. you may need a total of $20,000 a year in the first 10 years, then $30,000 per year over the next 10 years, etc.).
   3. C) Inflation rate: Estimate an average annual inflation rate appropriate for now until the end of your life.
   4. D) Rate of return: Estimate an average annual rate of return on investment you can earn on your savings.
   5. E) Current savings: State how much you have already set aside for retirement today. This is zero if you have not begun saving. = ZERO
3. Compute the future values of each annual expense discussed in [1B] with inflation rate chosen in [1C]. That is, based on the example given, find the future value of the expense you will need in 25 years from today (i.e. when you are 60) by compounding an inflation of, say, 3% per year to the amount in today’s dollars. Repeat this process for all the retirement years. If the expense amounts were assumed to be increasing over time, be sure to consider that in the calculations.
4. Based on the annual expenses worked out in [2], calculate how much total savings you should have on the day you retire (i.e. the present value of all the expenses you need for retirement on the day you will stop working) using the rate of return assumed in [1D].
5. Based on the total savings required found in [3] and the current savings reported in [1E], find out how much you need to save each year now until the day you will stop working, given an interest rate you have described in [1D].
6. Base on the answers in previous parts, assess whether you will be able to achieve the target for retirement. If not, discuss how you may adjust your plan.

Answer 1

(A) Age-  25 years old,

plan to retire at the age = 60

Expected to live until 80,

Saving period = 35 years

Life after working = 20 years

(B) annual expenses:-

for first 10 years - $10000

for next 10 years - $20000

(C) Average annual inflation rate:-

= 3%

(D) Rate of return = 10%

(E) Current Saving = 0

Future values of annual expense with inflation rate chosen :-

Future Value (FV)= Present Value (PV) (1+r/100)ⁿ

where;
FV= Future value of your goal
PV= Present value or current cost of your goal
r= annual rate of inflation
n= time left to reach your goals (in years)

= $10000 (1+ 3/100)¹⁰

⁼  $114,638.79

= $20000 (1+ 3/100)¹⁰

=$229,277.59