Answer:
Annual deposit= $26,344.36
Explanation:
Giving the following information:
The interest rate is 7 percent per year.
He wants to have enough money to provide him with $3,000 of monthly income for 30 years. To date, he has saved nothing, but he still has 20 years until he retires.
First, we need to calculate the total amount of money required:
Final value= 3,000* (30*12)= $1,080,000
Now, we can calculate the annual deposit:
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
FV= 1,080,000
i= 0.07
n= 20
A= (1,080,000*0.07) / [(1.07^20) - 1]= $26,344.36
