Understand what the required return represents

Capital committed here cannot simultaneously be used in an available alternative of comparable risk. The required return represents that opportunity cost in the selected valuation model. It is not an extra payment appearing in the operating cash account, a promise that the project will earn that amount, or management’s wish for a larger margin of safety. NPV tests whether the projected cash more than compensates for that opportunity cost.

In CAPM, the additional compensation concerns the claim’s co-movement with the market opportunity set for a diversified investor. A firm-specific failure can still reduce expected receipts even where that particular risk earns no separate market premium. Model the failure’s consequences in expected cash; do not treat “diversifiable” as “cannot lose money.” Conversely, a large spread of possible outcomes does not by itself identify the beta or required premium.

Identify how risk is represented before changing either cash or the rate. Expected cash already includes unfavorable outcomes with their supported probabilities. A market-risk premium applied to those expected flows is not automatically double counting: the expected loss and the price of bearing its covariance risk are different effects. Double counting occurs when the same compensation for risk has already been deducted in a certainty-equivalent cash amount and is charged again through a risk-adjusted rate. A deliberately conservative management scenario is neither automatically an expectation nor a certainty equivalent.

A low borrowing offer does not make operating risk disappear. Lenders and equity holders have different claims on the same business, and a guarantee can shift who bears a loss without eliminating its cost. A subsidy or concession can have value, but identify the resulting financing benefit and its conditions separately. Do not replace the entire project’s required return with the subsidized loan’s coupon.

The applicable investor and valuation purpose matter. A traded diversified-investor valuation and a particular undiversified owner’s reservation value need not use the same risk preferences or model. Identify that change through FIN.1 and obtain the appropriate supported approach. Adding several unexplained premiums for size, private ownership, country and “project uncertainty” can charge overlapping effects without establishing any of them.