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what is the amount of an annuity if the payments are 60 at the end of each month for 10 years at 3 5 interest computed mon

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What is the amount of an annuity if the payments are $60 at the end of each month for 10 years at 3.5% interest computed monthly?

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Answer to a math question What is the amount of an annuity if the payments are $60 at the end of each month for 10 years at 3.5% interest computed monthly?

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Clarabelle

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94 Answers

Solution:

1. Determine the number of payments and the interest rate per period:

- Number of payments:

n = 10 \times 12 = 120

- Monthly interest rate:

i = \frac{3.5\%}{12} = 0.0029167

2. Use the formula for the future value of an ordinary annuity:

- Formula:

FV = R \times \frac{(1 + i)^n - 1}{i}

- Where:

-

R = 60

(monthly payment)

-

i = 0.0029167

(monthly interest rate)

-

n = 120

(total number of payments)

3. Calculate:

- Substitute values:

FV = 60 \times \frac{(1 + 0.0029167)^{120} - 1}{0.0029167}

FV\approx8605.95

4. Conclusion:

- The future value of the annuity is approximately USD 8605.95.

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What is the amount of an annuity if the payments are $60 at the end of each month for 10 years at 3.5% interest computed monthly?

Answer to a math question What is the amount of an annuity if the payments are $60 at the end of each month for 10 years at 3.5% interest computed monthly?

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