you are planning to make monthly deposits of $390 into a retirement account that pays 8 percent interest compounded monthly. if your first deposit will be made one month from now, how large will your retirement account be in 25 years?

Respuesta :

The amount in the retirement account in 25 years is  $456,492.67.

Estimating the amount:

Since the $390 monthly deposit, Here, the interest rate is 8% each month. Furthermore, the duration is 25 years.

Here, we've used the formula for the annuity's future value.

[tex]FVA = C[\frac{[(1 + r)^{t-1}]}{r} ][/tex]

[tex]FVA = 390[\frac{[(1 + (\frac{0.08}{12} ))^{(25 \;*\;12)-1}]}{\frac{0.08}{12}} ][/tex]

[tex]FVA = 390[\frac{[(1 + (\frac{0.08}{12} ))^{300-1}]}{\frac{0.08}{12}} ][/tex]

FVA = $456,492.67

Thus, The amount in the retirement account in 25 years is $456,492.67.

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