Question

18. You have $$42,180.53 in a brokerage account, and you plan to deposit an additional $5,000 at the end of every future year until your account totals $250,000. You expect to earn 12% annually on the account. How many years will it take to reach your goal

Answer 1

Answer:

it takes 15 years 10 months to  reach your goal.

Explanation:

The Fixed deposits are in the form of an ordinary annuity.

The Future Value of this Ordinary Annuity must be $207,819.47 ($250,000 - $42,180.53)

Thus find number of years that the fixed deposits would amount to $207,819.47.

Using a Financial Calculator enter the following data to calculate the period, N.

PMT = $5,000

P/yr = 1

r = 12 %

FV = $207,819.47

N = ?

Thus the number of years, N it takes to  to reach your goal is 15.7921 or 15 years 10 months.