Final answer:
To find the annuity factor s[25;0.08], the future value of an annuity due formula is used, where 'r' represents the interest rate, and 'n' the number of periods. The formula, plugged with r=0.08 and n=25, yields the correct annuity factor closest to one of the provided options.
Step-by-step explanation:
The student has asked to find the annuity factor, denoted as s[25;0.08], which is a function used to calculate the future value of a series of payments or receipts (annuities) at a given interest rate of 8% over 25 periods. To find the correct annuity factor, we use the formula for the future value of an annuity due, which is [(1 + r)n - 1] / r, where r is the interest rate and n is the number of periods.
Using the given interest rate (0.08) and the number of periods (25), we plug these values into the formula and compute the annuity factor. When performing the calculation, we find that the closest match among the provided options for the future value annuity factor is s[25;0.08].