Question

When you take your first job, you decide to start saving right away for your retirement. You put $5,000 per year into a saving plan, which interest rate 10% per year. Five years later, you move to another job and stop making contributions to the saving plan. If the first plan continued to earn interest for another 35 years, determine the future worth in year 40.

Answer 1

FV= $857,840.94

Step-by-step explanation:

Giving the following information:

First investment:

Annual deposit= $5,000 per year

Interest rate= 10%

Number of years= 5

Second investment:

Number of years= 35

Interest rate= 10%

Lumpsum= first investment

First, we need to calculate the future value of the first investment. We will use the following formula:

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

A= annual deposit

FV= {5,000*[(1.1^5) - 1]} / 0.10

FV= $30,525.5

Now, the future value of the second investment.

FV= PV*(1+i)^n

FV= 30,525.5*(1.1^35)

FV= $857,840.94