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.)

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