Answer:
Monthly deposit= $690.88
Step-by-step explanation:
Giving the following information:
Lump sum= $10,000
Future value= $50,000
Number of years= 4 years
Interest rate= 6%
First, we need to calculate the final value of the first $10,000 investment.
FV= PV*(1+i)^n
FV= 10,000*(1.06)^4= $12,624.77
Investment needed= 50,000 - 12,624.77= $37,375.23
Now, using the following formula we can determine the monthly deposit necessary:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
i= 0.06/12= 0.005
n= 12*4= 48
A= (37,375.23*0.005) / [(1.005^48)-1]
A= $690.88