Annual mean is 79520
a. According to retirement-plan provider Fidelity Investments, a
good rule of thumb is to have 10 times
your final salary in savings if you want to retire by age 67 (we
will replace final salary by mean salary).
What is 10 times the mean salary that you wrote down in part a.
?
Hint: Literally multiply the number in part a. by 10.
b. If you work for 40 years and make monthly deposits into a
retirement account that earns interest at
the rate of 4.8%/year compounded monthly, what should the amount of
each of your deposits be so
that the balance after 40 years can be the number from part a.
?
c. Based on your dream job's mean annual salary, are the monthly
payments that you found in part b.
feasible ? Support your answer with numbers !
please show steps
A- | What is 10 times the mean salary that you wrote down in part a | Mean salary*10 | 79520*10 | 795200 |
B- | Monthly payment = Future value at time of retirement/FVAF at .4% for 480 months | 795200/1448.72 | 548.90 | |
Future value at the time of retirement | 795200 | |||
FVAF at .4% for 480 months =(1+r)^n -1 / r | (1.004)^480 -1 / .4% | 5.79488/.4% | 1448.72 | |
C- | yes amount of 548.90 seems feasible because amount seems less but period of investment is more which results in compounding effect that will accumulate sufficient fund to achieve the retirement goals. |
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