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Weighted average cost of capital

From Wikipedia, the free encyclopedia
Concept in economics
The WACC structure: It averages the cost of equity and the after-tax cost of debt based on their respective weights in the company's capital structure.

Theweighted average cost of capital (WACC) is the rate that a company is expected to pay on average to all its security holders to finance its assets. The WACC is commonly referred to as the firm'scost of capital. Importantly, it is dictated by the external market and not by management. The WACC represents the minimum return that a company must earn on an existing asset base to satisfy its creditors, owners, and other providers of capital, or they will invest elsewhere.[1]

Companies raise money from a number of sources:common stock,preferred stock and related rights,debt,convertible debt, and so on. The WACC is calculated taking into account the relative weights of each component of thecapital structure.

Companies can use WACC to see if the investment projects available to them are worthwhile to undertake.[2]

Calculation

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In general, the WACC can be calculated with the following formula:[3]

WACC=i=1NriMVii=1NMVi{\displaystyle {\text{WACC}}={\frac {\sum _{i=1}^{N}r_{i}\cdot MV_{i}}{\sum _{i=1}^{N}MV_{i}}}}

whereN{\displaystyle N} is the number of sources of capital (securities, types of liabilities);ri{\displaystyle r_{i}} is the requiredrate of return for securityi{\displaystyle i}; andMVi{\displaystyle MV_{i}} is the market value of all outstanding securitiesi{\displaystyle i}.

In the case where the company is financed with onlyequity and debt, the average cost of capital is computed as follows:

WACC=DD+EKd+ED+EKe{\displaystyle {\text{WACC}}={\frac {D}{D+E}}K_{d}+{\frac {E}{D+E}}K_{e}}

whereD{\displaystyle D} is the total debt,E{\displaystyle E} is the total shareholder's equity,Kd{\displaystyle K_{d}} is thecost of debt, andKe{\displaystyle K_{e}} is thecost of equity. The market values of debt and equity should be used when computing the weights in the WACC formula.[4]

Tax effects

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Tax effects can be incorporated into this formula. For example, the WACC for a company financed by one type of shares with the total market value ofMVe{\displaystyle MV_{e}} and cost of equityRe{\displaystyle R_{e}} and one type of bonds with the total market value ofMVd{\displaystyle MV_{d}} and cost of debtRd{\displaystyle R_{d}}, in a country with corporate tax ratet{\displaystyle t}, is calculated as:

WACC=MVeMVd+MVeRe+MVdMVd+MVeRd(1t){\displaystyle {\text{WACC}}={\frac {MV_{e}}{MV_{d}+MV_{e}}}\cdot R_{e}+{\frac {MV_{d}}{MV_{d}+MV_{e}}}\cdot R_{d}\cdot (1-t)}

This calculation can vary significantly due to the existence of many plausible proxies for each element. As a result, a fairly wide range of values for the WACC of a given firm in a given year may appear defensible.[5]

Components

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Debt

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The cost of debt component in WACC. As debt increases, the after-tax cost $k_d(1-T)$ remains a primary driver of the overall weighted average until financial risk premiums rise.

The firm's debt component is stated as kd and since there is a tax benefit from interest payments then the after tax WACC component is kd(1-T); where T is thetax rate.[6]

Increasing the debt component under WACC has advantages including:

But there are also disadvantages including:

  • legal obligation to make payments,
  • taking on more debt increasesfinancial risk.

Equity

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The weighted average cost of capital equation including preferred stock is:

WACC=wd[Kd(1t)]+wpfKpf+wceKce{\displaystyle {\text{WACC}}=w_{d}\cdot [K_{d}(1-t)]+w_{pf}\cdot K_{pf}+w_{ce}\cdot K_{ce}}

When issuing new common equity, the cost must be adjusted for underwriting fees, termed flotation costs (F). The adjusted cost of equity (Ke{\displaystyle K_{e}}) is calculated as:

Ke=D1P0(1F)+g{\displaystyle K_{e}={\frac {D_{1}}{P_{0}(1-F)}}+g}

where:

There are 3 ways of calculating Ke:

  1. Capital Asset Pricing Model
  2. Dividend Discount Method
  3. Bond Yield PlusRisk Premium Approach

The equity component has advantages for the firm including:no legal obligation to pay (depends on class of shares) as opposed to debt,no maturity (unlike e.g. bonds),lower financial risk, andit could be cheaper than debt with good prospects of profitability.But also disadvantages including:new equity dilutes current ownership share of profits andvoting rights (impacting control),cost ofunderwriting for equity is much higher than for debt,too much equity = target for aleveraged buy-out by another firm, andnotax shield, dividends are not tax deductible, and may exhibitdouble taxation.

Marginal cost of capital schedule

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Marginal cost of capital (MCC)schedule or aninvestment opportunity curve is a graph that relates the firm's weighted cost of each unit of capital to the total amount of new capital raised. The first step in preparing the MCC schedule is to rank the projects usinginternal rate of return (IRR). The higher the IRR the better off a project is.

Enterprise valuation (WACC approach)

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WACC approach to enterprise valuation: Future operating free cash flows are discounted to their present value using the weighted average cost of capital.

The WACC approach is the most widely used variant of theDiscounted cash flow (DCF) method. Under this "entity approach," the firm is conceptually separated into an operating area (Operating Free Cash Flow) and a financing area.

Assuming an infinite corporate lifespan, the market value of the enterprise—including the market value of non-operating assetsN0{\displaystyle N_{0}}—is determined by the following formula:

Enterprise Value=t=1OFCFt(1+WACCt)t+N0{\displaystyle {\text{Enterprise Value}}=\sum _{t=1}^{\infty }{\frac {OFCF_{t}}{(1+WACC_{t})^{t}}}+N_{0}}

TheOperating Free Cash Flow (OFCF) represents the cash surplus available as if the company were entirely equity-financed. Thetax shield from debt is accounted for by reducing the WACC (the discount rate). Consequently, the firm's actual capital structure is reflected in the denominator rather than the numerator.

Contrary to common belief, the WACC method doesnot strictly require a constantcapital structure.[7] However, if the leverage ratio changes over time, the WACC must be adjusted using theMiles-Ezzell adjustment formula.[8]

TheModigliani-Miller adjustment formula is generally not applicable here as it assumes a constant absolute amount of debt (autonomous financing), which contradicts market-value-oriented financing where debt levels are adjusted to keep pace with the company's valuation.[9]

See also

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References

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  1. ^Fernandes, Nuno. 2014, Finance for Executives: A Practical Guide for Managers, p. 32.
  2. ^G. Bennet Stewart III (1991).The Quest for Value. HarperCollins.
  3. ^Miles, James A.; Ezzell, John R. (September 1980). "The weighted average cost of capital, perfect capital markets and project life: a clarification".Journal of Financial and Quantitative Analysis.15 (3):719–730.CiteSeerX 10.1.1.455.6733.doi:10.2307/2330405.JSTOR 2330405.S2CID 154350056.
  4. ^Fernandes, Nuno. Finance for Executives: A Practical Guide for Managers. NPV Publishing, 2014, p. 30.
  5. ^Frank, Murray; Shen, Tao (2012). "Investment, Q, and the Weighted Average Cost of Capital".Social Science Research Network.SSRN 2014367.
  6. ^Hargrave, Marshall."Weighted Average Cost of Capital (WACC) Definition".investopedia.com. Investopedia. Retrieved20 May 2022.
  7. ^Löffler, A. (2004). "WACC and the Cost of Capital,"Journal of Business.
  8. ^Miles, J. and Ezzell, J. (1980). "The weighted average cost of capital, perfect capital markets and project life: a clarification,"Journal of Financial and Quantitative Analysis, 15(3), 719–730.
  9. ^Modigliani, F. and Miller, M. (1963). "Corporate Income Taxes and the Cost of Capital: A Correction,"American Economic Review, 53(3), 433–443.

External links

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  • Video about practical application of the WACC approach
  • Frank, Murray; Shen, Tao (2016). "Investment and the Weighted Average Cost of Capital".Journal of Financial Economics.119 (2):300–315.doi:10.1016/j.jfineco.2015.09.001.SSRN 2014367.
  • Velez-Pareja, Ignacio; Tham, Joseph (August 7, 2005). "A Note on the Weighted Average Cost of Capital WACC: Market Value Calculation and the Solution of Circularity between Value and the Weighted Average Cost of Capital WACC".SSRN 254587.
  • Cheremushkin, Sergei Vasilievich (December 21, 2009). "How to Avoid Mistakes in Valuation – Comment to 'Consistency in Valuation: A Practical Guide' by Velez-Pareja and Burbano-Perez and Some Pedagogical Notes on Valuation and Costs of Capital".SSRN 1526681.
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