Question

You plan to make a series of deposits in an interest-bearing account. You will deposit $1,000 today, $2,000 in 2 years, and $8,000 in 5 years. If you withdraw $3,000 in 3 years and $5,000 in 7 years, how much will you have after eight years if the interest rate is 9%?

Answer 1

$5,641

Step-by-step explanation:

DEPOSIT NOW

$1000 * FVIF 9%,8 PERIODS

= $1000 * 1.9926

= $1992.6

IN 2 YEARS

= $2000 * FVIF 9%,6 PERIODS

= $2000 * 1.6771

= $3354.20

IN 5 YEARS

= $8000 * FVIF 9%, 3 PERIODS

= $8000*1.2950

= $10360

WITHDRAWAL: IN 3 YEARS

= ($3000) * FVIF 9%, 5 PERIODS

= ($3000) * 1.5386

= ($4615.80)

IN 7 YEARS

= ($5000) * FVIF 9%, 1 PERIOD

= ($5000) * 1.0900

= ($5450)

Total value = $1992.6 + $3354.20 + $10360 - $4615.80 - $5450

Total value = $5,641

So, the total future value after eight years is $5,641