Question

Jennifer is the owner of a video game and entertainment software retail store. She is currently planning to retire in 30 years and wishes to withdraw $10,000/month for 20 years from her retirement account starting at that time. How much must she contribute each month for 30 years into a retirement account earning interest at the rate of 2%/year compounded monthly to meet her retirement goal? (Round your answer to the nearest cent.)

Answer 1

Answer:

A= $4,838.95 monthly

Explanation:

Giving the following information:

She is currently planning to retire in 30 years and wishes to withdraw $10,000/month for 20 years from her retirement account starting at that time.

First, we need to calculate the amount needed for retirement:

FV= 10,000*12*20= 2,400,000

Now, we can use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

Effective rate= 0.02/12= 0.0017

n= 12*30= 360

A= (2,400,000*0.0017)/[(1.0017^360)-1]

A= $4,838.95 monthly