You are opening an online savings account with a $3,000 deposit. This online account earns 1.2% interest compounded quarterly. If you do not deposit or withdraw any money from the account how much will be in the account in 4 years?

Respuesta :

Based on the amount deposited, the compounding period, and the interest rate, the amount after 4 years would be $3,147.29

First we need to find the periodic interest as well as period of compounding.

Periodic Interest

= Interest / Number of periods

= 1.2% / 4

= 0.3%

Number of periods

= Number of years x 4

= 4 x 4

= 16 periods

The amount after 4 years

= Amount x ( 1 + rate) ^ number of periods

= 3,000 x ( 1 + 0.3%) ¹⁶

= $3,147.29

In conclusion, the amount would be $3,147.29

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