Question

Suzie has $16,000 in her investment account today. She saves $500 a quarter and earns 8% interest compounded quarterly. How much money will she have in her account three years from now?

Answer 1

Suzie has  $26,997.90  in her account three years from now in her investment.

An investment is an asset or object obtained with the intention of generating profits or appreciation. Appreciation refers to an increase within the fee of an asset over time. when an individual purchases an excellent as an funding, the rationale isn't always to eat the good however alternatively to use it inside the future to create wealth.

investment = $16000

FV = future value

PV = present value = 16,000

r = interest rate = 8% / 4 = 2% per quarter

n = number of quarters = 3 * 4 = 12

The future value of the single investment is:

FV=PV∗(1+r)n

FV=16,000∗(1+0.02)12

FV=$20,291.86

Annuity of $500 per quarter

Let

FVA be the future value of the annuity

PMT be the periodic payment

The future value of the annuity is:

FVA = PMT × (1+r)ⁿ - 1 / r

       = 500 × (1+ 0.02)¹² - 1 /0.02

      = $6,706.04

After 3 years, her account balance will be the sum of these two future values:

Balance = FV + FVA = 20,291.86 + 6,706.04 = 26,997.90

Suzie will have $26,997.90 in her account.

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