Answer:
Monthly withdraw= $23,294.99
Explanation:
Giving the following information:
Stock:
Monthly deposit= $890
Number of periods= 30*12= 360
Interest rate= 0.109 / 12= 0.0091
Bond:
Monthly deposit= $490
Number of periods= 30*12= 360
Interest rate= 0.069 / 12= 0.00575
<u>First, we need to calculate the amount of money collected at the moment of retirement. We need to use the following formula on each investment:</u>
<u />
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
Stock:
FV= {890*[(1.0091^360) - 1]} / 0.0091
FV= $2,452,918.1
Bond:
FV= {490*[(1.00575^360) - 1]} / 0.00575
FV= $586,123.47
Total FV= 2,452,918.1 + 586,123.47
Total FV= $3,039,041.57
<u>Now, the monthly withdrawal for 25 years:</u>
<u />
Number of periods= 25*12= 300
Interest rate= 0.079 / 12= 0.0066
Monthly withdraw= (FV*i) / [1 - (1+i)^(-n)]
Monthly withdraw= (3,039,041.57*0.0066) / [1 - (1.0066^-300)]
Monthly withdraw= $23,294.99
