Question

You just opened a brokerage account, depositing $4,500. You expect the account to earn an interest rate of 8.57%. You also plan on depositing $3,000 at the end of years 5 through 10. What will be the value of the account at the end of 20 years, assuming you earn your expected rate of return?

Answer 1

$74108

Step-by-step explanation:

Solution

Given that:

Deposit = $4,500

Interest rate =8.57%

Plan to deposit =$3000 at the end of 5 years through 1

n= 20 years

Now

We apply the formula given below:

A=P(1+r/100)^n

Here

A=future value

P=present value

r=rate of interest

n=time period.

Thus

=4500(1.0857)^20+3000(1.0857)^15+3000(1.0857)^14+3000(1.0857)^13+3000(1.0857)^12+3000(1.0857)^11+3000(1.0857)^10

=$74108

Therefore the account value at 20 years (ending) is $74108