Question

You are planning to put $3,500 in the bank at the end of each year for the next four years in hopes that you will have enough money for a down payment on a condo. If you are investing at an annual interest rate of 5%, you'll have accumulated ___________ at the end of four years.

You decided to deposit your money in the bank at the beginning of the year instead of the end of the same year, but now you are making payments of $2,500 at an annual interest rate of 6%. How much money will you have available at the end of seven years?

Answer 1

Results are below.

Step-by-step explanation:

Giving the following information:

Annual deposit (A)= $3,500

Number of periods (n)= 4 years

Interest rate (i)= 5%

To calculate the future value, we need to use the following formula:

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

A= annual deposit

FV= {3,500*[(1.05^4) - 1]} / 0.05

FV= $15,085.44

Now, the deposit is at the beginning:

Annual deposit (A)= $2,500

Number of periods (n)= 7 years

Interest rate (i)= 6%

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

FV= {2,500*[(1.06^7) - 1]} / 0.06 + {[2,500*(1.06)^7] - 2,500}

FV= 20,984.59 + 1,259.08

FV= $22,243.67