Answer:
He must deposit $10,168.07 per year to reach the future value of $1,000,000.
Explanation:
Giving the following information:
Final value= 1,000,000
n= 25
Interest rate= 10%
We need to calculate the annual deposit necessary to reach the goal of $1,000,000.
To calculate the annual deposit, we need to use the following variation of the future value formula:
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (1,000,000*0.1) / [(1.10^25) - 1]
A= $10,168.07
He must deposit $10,168.07 per year to reach the future value of $1,000,000.
