1. **State the problem:** You receive $50,000 immediately and the remaining $150,000 divided equally over 8 years. The interest rate is 7% per year. We want to find the present value (PV) of all payments. 2. **Formula used:** The present value of an annuity (equal payments) is given by $$PV = P \times \frac{1 - (1 + r)^{-n}}{r}$$ where $P$ is the payment per period, $r$ is the interest rate per period, and $n$ is the number of periods. 3. **Calculate the annual payment:** The remaining amount is $200,000 - 50,000 = 150,000$ divided over 8 years, so $$P = \frac{150,000}{8} = 18,750$$ 4. **Calculate the present value of the annuity:** $$PV = 18,750 \times \frac{1 - (1 + 0.07)^{-8}}{0.07}$$ 5. **Calculate $(1 + 0.07)^{-8}$:** $$1.07^{-8} = \frac{1}{1.07^8} \approx \frac{1}{1.718186} = 0.58201$$ 6. **Substitute back:** $$PV = 18,750 \times \frac{1 - 0.58201}{0.07} = 18,750 \times \frac{0.41799}{0.07}$$ 7. **Simplify the fraction:** $$\frac{0.41799}{0.07} = 5.9713$$ 8. **Calculate the annuity present value:** $$PV = 18,750 \times 5.9713 = 111,948.75$$ 9. **Add the immediate payment:** $$\text{Total PV} = 50,000 + 111,948.75 = 161,948.75$$ **Final answer:** The present value of the payments is approximately **161,948.75**.