1. **State the problem:** We are given the present value (PV) of an annuity, the number of periods (n), and the interest rate per period (i). We need to find the payment amount (PMT). 2. **Formula used:** The present value of an ordinary annuity is given by: $$PV = PMT \times \frac{1 - (1 + i)^{-n}}{i}$$ 3. **Rearrange the formula to solve for PMT:** $$PMT = PV \times \frac{i}{1 - (1 + i)^{-n}}$$ 4. **Substitute the given values:** $$PV = 20176, \quad n = 91, \quad i = 0.026$$ 5. **Calculate the denominator:** $$1 - (1 + 0.026)^{-91} = 1 - (1.026)^{-91}$$ Calculate $(1.026)^{-91}$: $$ (1.026)^{91} \approx e^{91 \times \ln(1.026)} \approx e^{91 \times 0.0257} = e^{2.3387} \approx 10.367$$ So, $$ (1.026)^{-91} = \frac{1}{10.367} \approx 0.0964$$ Therefore, $$1 - 0.0964 = 0.9036$$ 6. **Calculate PMT:** $$PMT = 20176 \times \frac{0.026}{0.9036} = 20176 \times 0.02877 \approx 580.68$$ **Final answer:** $$\boxed{PMT = 580.68}$$