Proposition 3: Discount rate for investments is independent of how the funds are financed. It considers how factors of taxes, agency costs, and costs of finance distress affected by company's capital structure.
Generally, proposition 3 is the upgrade of both proposition1 and proposition2. Debt-Equity ratio increases in line with the increase on required return, and the risk. The magnitude of the above increasing should be equal, otherwise, arbitrage opportunity may exsit.