4.

a. Compounding annually means that there is one interest payment period per year. So, \\( n=5 \\) and \\( i=r=0.08 \\). \\[ \\begin{array}{l} F V=P V(1+i)^{n} \\\\ F V=1,000(1+0.08)^{5} \\\\ F V=1,000(1.4693280768) \\\\ F V=1469.3280768 \\end{array} \\] Therefore, rounded to the nearest cent, the final answer is \\$