Question

Staci invested $950 five years ago. Her investment paid 7.2 percent interest compounded monthly. Staci's twin sister Shelli invested $900 at the same time. But Shelli's investment earned 8 percent interest compounded quarterly. How much is each investment worth today?

Answer 1

$1,360.20 and $1,337.35

Step-by-step explanation:

In this question, we have to used the Future value formula that is shown below:

Future value = Present value × (1 + rate)^number of years

For Staci, it would be

Present value = $950

Rate = 7.2% ÷ 12 months = 0.6%

Number of years = 5 year × 12 months = 60

So, the future value

= $950 × (1 + 0.6%)^60

= $950 × 1.431788412

= $1,360.20

For Shelli, it would be

Present value = $900

Rate = 8% ÷ 4 quarters = 2%

Number of years = 5 year × 4 quarters = 20

So, the future value

= $950 × (1 + 2%)^20

= $950 × 1.485947396

= $1,337.35