Answer:
Monthly withdraw= $12,452.6
Explanation:
<u>First, we need to calculate the total accumulated at the moment of retirement. We will use the following formula:</u>
<u></u>
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
Stock:
Monthly investment= $1,000
Interest rate= 0.09/12= 0.0075
Number of periods= 25*12= 300 months
FV= {1,000*[(1.0075^300) - 1]} / 0.0075
FV= $1,121,121.94
Bond:
Monthly investment= $700
Interest rate= 0.06/12= 0.005
Number of periods= 25*12= 300 months
FV= {700*[(1.005^300) - 1]} / 0.005
FV= 485,095.77
Total FV= 1,121,121.94 + 485,095.77
Total FV= $1,606,217.71
<u>Now, the annual withdrawal:</u>
<u></u>
Interest rate= 0.07/12= 0.005833
Number of months= 12*20= 240
Monthly withdraw= (FV*i) / [1 - (1+i)^(-n)]
Monthly withdraw= (1,606,217.71*0.005833) / [1 - (1.005833^-240)]
Monthly withdraw= $12,452.6
