Discounted-Cash-Flow (DCF) is a generic term for various
methods (APV, WACC, FTE) of business valuation. In summary, the future cash flow (profit distributions) to
the owners is discounted adjusted for risk and presented as the company value.
The methods/approaches are based on the equilibrium theory of Modigliani and
Miller (1958) and a model called CAPM (Sharpe, 1964; Lintner, 1965; Mossin, 1966), or corresponding
extensions. Three of these approaches should be mentioned:
- Adjusted Present Value (APV)
- Weighted Average Cost of Capital (WACC)
- Equity (FTE)
The Adjusted Present Value (APV) approach is a gross approach. In this, the total company
value consists of the base present value, the value of debt, and the value of the tax shield. Debt is
tax-advantaged compared to equity. The cash flow to the owners is discounted with the cost of equity (of the
unleveraged company) to the base present value, and the cash flow to the debt providers is discounted with
the cost of debt to the value of the debt. Similarly, the tax benefit is discounted with the cost of debt to
the value of the tax shield. If the value of the debt is subtracted from the sum of the base present value
and the value of the tax shield, the value of the equity is obtained. Subsequently, the cost of equity of
the leveraged company can be calculated.
In practice, the return on equity is calculated using the CAPM model (or an extension), although this is
actually not compatible with the equilibrium theory of Modigliani and Miller
(1958) in terms of basic assumptions (Hering, 2021).
The Weighted Average Cost of Capital (WACC) approach is a gross approach. The free cash
flow is discounted with the average cost of capital. This is composed of the cost of equity (of the
leveraged company) and the cost of debt. The cost of capital rates are weighted according to the ratio of
equity or debt and the tax shield to total capital. Again, in practice, the cost of equity is derived from
the CAPM model. The interest rate consists of the base interest rate and the risk premium (beta factor).
The Equity Approach (FTE) is a net approach. The free cash flow is discounted with the
cost of equity (of the leveraged company).
All three models can be converted into each other, provided the cost of equity is estimated consistently.
Explanations of the DCF method can be found here.