In: Accounting
Ayman has Been working with an ABC he retired today
after 30years and the company was Saving $ 300 monthly
for the first 10 years and500 monthly for the next 20 years the
interest rate was 6% compounding monthly for the first 5 years and
4% after that . Ayman today is 65 years old . It is planing to
start withdrawal next month.
1- if ayman withdrawal 1000 monthly how much will be left when he
is 80 years old
2. Suppose Ayman needs $ 2,500 a month, how many he withdraw can he
make.
Hi,
Here are the answers with workings.
Answer 1. If Ayman withdraws $1000 per month, he will be left with $163,004.51 when he is 80 years old.( That is 15 years from now or 180 months from now)
Answer 2: If Ayman needs $2500 per month he will be able to withdraw for 106 months.
Note: It is assumed that the corpus of $224,990.26 is reinvested again at 4% compounding interest (less $ 1000 per month or $2500 pr month as the case may be )
Here are the workings.
To calculate the corpus(Total fund accumulated for 30 years) , first 5 years it earns interest at 6% compounded monthly for a monthly investment of $ 300 per month and next 5 years at 4% for $300 invested and remaining 20 years at 4% for a montly investment of $ 500.
Using the FV(Future value) formula in excel, we can calculate the corpus as under.
Corpus accumulated is as under
Here are the excel workings in Excel file
Q# 2 Workings.
Hope this is useful.
All the Best.