1. **Problem statement:** Find the amount of an annuity with payments of 200 per year for 5 years at 8% per year compounded annually. 2. **Formula used:** The amount $A$ of an ordinary annuity is given by $$A = P \times \frac{(1 + r)^n - 1}{r}$$ where $P$ is the payment per period, $r$ is the interest rate per period, and $n$ is the number of periods. 3. **Given values:** - $P = 200$ - $r = 0.08$ - $n = 5$ 4. **Calculation:** $$A = 200 \times \frac{(1 + 0.08)^5 - 1}{0.08}$$ 5. Calculate $(1 + 0.08)^5$: $$ (1.08)^5 = 1.469328 $$ 6. Substitute back: $$A = 200 \times \frac{1.469328 - 1}{0.08} = 200 \times \frac{0.469328}{0.08}$$ 7. Simplify the fraction: $$\frac{0.469328}{0.08} = 5.8666$$ 8. Multiply by 200: $$A = 200 \times 5.8666 = 1173.32$$ 9. **Final answer:** The amount of the annuity is approximately **1173**.