Answer:
Annual withdraw= $173,483.28
Explanation:
The real rate of return is the result of deducting from the nominal rate the inflation rate.
First, we will determine the nominal rate of return:
Nominal rate= 0.10 + 0.028= 0.128
Now, we need to calculate the value of the investment at the time of retirement:
Annual deposit= $12,000
Interest rate= 0.128
Number of periods= 20 years
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
FV= {12,000*[(1.128^20) - 1]} / 0.128
FV= $948,935.34
Finally, the annual withdrawal:
Annual withdraw= (FV*i) / [1 - (1+i)^(-n)]
Annual withdraw= (948,935.34*0.128) / [1 - (1.128^-10)]
Annual withdraw= $173,483.28
