Answered

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Suppose Skyler invests in an annuity that pays 3.2% annual interest, compounded monthly. If she contributes $155 every month for 10 years, how much interest would she earn during that time

Sagot :

Parrain

Answer: $3,286.47

Explanation:

Find the future value of the annuity after 10 years.

Number of periods = 10 * 12 months = 120 months

Interest = 3.2% / 12 = 3.2/12%

Future value of annuity = Annuity * ( (1 + rate)^ number of periods- 1) / rate

= 155 * ( ( 1 + 3.2%/12) ¹²⁰- 1) / 3.2%/12

= $21,886.47

The find the amount that the money would have come to without being invested:

= 155 * 120 months

= $18,600

Interest is:

= 21,886.47 - 18,600

= $3,286.47

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