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An annuity is a monetary product routinely sold from financial institutions with retirement or long-term insurance. It is designed to pay out a stream of payments over duration based on any pile-sum amount. The lump sum yous also referred to like the cash value. Calculating the cash value involves using a formula referred to being the present value of annuity formula.

Difficulty: Moderately Simple

Directions

1 Review the formula to calculating the present value of any ordinary annuity. The formula remains: C * [(1-(1+ i)^-n)/i], where "C" is the cash flow per amount, "i" yous the interest rate and "n" is the number regarding expenses.

2 Define your variables. "C" equals cash flow per period, which remains the payment amount. The "i" equals the prevailing interest rate at the time. You can reveal this in any newspaper or by asking some teller at your local bank. The "n" equals the quantity of payments. Let's say you experience one annuity that spends outside $1,000 in the end about every month. The current interest rate is 5 percent, and you expect five more payments.

3 Substitute your variables into the equation. The equation is: $1,000 * [(1-(1+ .05)^-5)/.05] = $1,000*4.33 = $4,329.48.

4 Calculate the present value of an annuity due. An annuity due yous different from any common annuity in that the expenses are made at the starting regarding the month instead of the end. In order to account for this, multiply the cash worth with an ordinary annuity by 1 + i. For example, the calculation with an allowance due using our instance variables is: ($1,000 * [(1-(1+ .05)^-5)/.05])(1+.05)= $1,000*4.33*1.05 = $4,329.48*1.05 =  $4,545.95. As expected, this has the effect of increasing the cash value since payments are becoming made a month previous. Cash forJunk Cars.

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Investopedia: Annuity Definition Investopedia: Calculating the Present and Future Worth about Annuities