Question

34. Which of the following statements is CORRECT? a. The cash flows for an annuity due...

34. Which of the following statements is CORRECT?

a. The cash flows for an annuity due must all occur at the beginning of the periods.
b. If some cash flows occur at the beginning of the periods while others occur at the ends, then we have what the textbook defines as a variable annuity.
c. The cash flows for an ordinary (or deferred) annuity all occur at the beginning of the periods.
d. The cash flows for an annuity may vary from period to period, but they must occur at regular intervals, such as once a year or once a month.
e. If a series of unequal cash flows occurs at regular intervals, such as once a year, then the series is by definition an annuity.
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Answer #1

Ans a. The cash flows for an annuity due must all occur at the beginning of the periods.

Example:

P = Periodic payments
r = rate of interest
n = no of years
Future Value of Annuity Due = (1 + r) * P ( (1 + r)n - 1 ) / r
(1 + 7%) * 4000 * ((1 + 7%)^42 - 1) / (7%)
987105.99
Future Value of Annuity = P ( (1 + r)n - 1 ) / r
4000* ((1 + 7%)^42 - 1) / (7%)
922528.96
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