You are planning your retirement and you come to the conclusion that you need to have saved $1000000million in 30 years. You can invest into an retirement account that guarantees you a 12% annual return. How much do you have to put into your account at the end of each year to reach your retirement goal?

Annual deposit = $4,143.66

Explanation:

Giving the following information:

You need to have saved $1,000,000 in 30 years. You can invest in a retirement account that guarantees you a 12% annual return.

To calculate the annual deposit needed to achieve the objective, we need to use the following formula:

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

A = annual deposit

Isolating A:

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

A = (1,000,000*0.12) / [ (1.12^30) - 1] = $4,143.66