Calculate the annual cash flows (annuity payments) from a fixed-payment annuity if the present value of the 15-year annuity is $750,000 and the annuity earns a guaranteed annual return of 6.85 percent. The payments are to begin at the end of the current year.
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Ответ:
$81,567.52
Explanation:
in order to determine the annuity payment we can use the following formula:
present value of the annuity = payment x annuity factor (6.85%. n = 15)
the annuity factor = [1 - 1/(1 + r)ⁿ] / r = [1 - 1/(1 + 0.0685)¹⁵] / 0.0685 = 9.194836402
$750,000 = annuity payment x 9.194836402
annuity payment = $750,000 / 9.194836402 = $81,567.52
Ответ: