Managerial Finance
Chapter 14
- Importance of cost of capital
- The return earned on assets depends on the risk of those assets
- The return to an investor is the same as the cost to the company
- However, uses of funds (capital budgeting) and sourcing of funds (capital structure) are very separate decisions
- Provides us with an indication of how the market views the risk of the assets
- Knowing the cost of capital can also help determine the required return for capital budgeting projects
- Calculated when company is evaluating a project (not day-to-day)
- Equivalent terms (all mean the same thing)
- Required rate of return
- Cost of capital
- Hurdle rate
- Discount rate
- Cost of equity
- Cost of equity
- Return required by equity investors given the risk of the cash flows from the firm
- Equity investors receive cashflow from the firm in two forms
- Dividends (periodic)
- Selling shares (terminal)
- 2 major methods for determining the cost of equity
- Dividend growth model (DGM)
- SML or CAPM
Dividend Growth Model
- Requirements
- Dividend is expected to grow at a stable rate for the foreseeable future
- Cost of capital > growth of dividend
D1 = next periods dividends, RE = cost of equity, g = growth, P0 = current price
If D1 is not given: D1 = D0 x (1+g)
*calculating growth:
- Using historical average (new – old)/old = percent change …. average these changes out
- Accounting method:
- 3 assumptions:
- Stable ROE
- Stable dividend policy
- Not planning on raising new external capital
- Then: g = retention ratio x ROE
- Retention ratio = (1-payout ratio)
- 3 assumptions:
- Advantages
- Easy to use and understand
- Disadvantages
- Only applicable to companies currently paying dividends
- Not applicable if dividends aren’t growing at a reasonably constant rate
- Extremely sensitive to the estimated growth rate – increasing g 1% increases cost of equity by 1%
- Does not explicitly consider risk
SML Approach
- Market risk premium = market rate – risk free rate
- All equity company**
- Advantages
- Explicitly adjusts for systematic risk
- Applicable to all companies as long as we can compute beta
- Disadvantages
- Must estimate the expected market risk premium, which varies over time
- Must estimate beta, which also varies over time
- We are relying on the past to predict the future, not always reliable
Note: If 2 models diverge a lot: either average both rates or use SML
- Cost of debt
- Cost of debt is the required return on our company’s debt (Rd)
- Usually focus on the cost of long-term debt or bonds
- Debt investors receive cashflow from the firm in two forms
- Coupon (periodic)
- Selling bond or face/par value (terminal)
- Required return is best estimated by computing the yield-to maturity on the existing bond
- We may also use estimates of current rates based on the bond rating we expect when we issue new debt
- Cost of debt is not the coupon rate (irrelevant)
- ** excel
- Cost of Preferred Stock
- Preferred stocks generally pay a constant dividend every period
- Dividends are expected to be paid every period forever
- Preferred stock is a perpetuity and can be values by: Po = D/Rp
- Rp = D / P0
- D = dividend
- P0 = current price
- Rp = required return – growth
- Rp = D / P0
______________________________________________________________________________Weighted Average Cost of Capital
- “average” is the required return on assets, based on the market’s perception of the risk of those assets
- The weights are determined by how much of each type of financing is being used – 2 methods:
- Target D/E ratio
- wE = 1 / 1+target D/E
- WD = 1 – wE
- 0r: WD= (target D/E) / (1 + target D/E)
- Market value of debt and equity (weights)
- Add up to 100%
- wD + wE = 1
- Target D/E ratio
- Capital structure weights
- Notation
- E = market value of equity = # outstanding shares * price per share
- D = market value of debt = # outstanding bonds * bond price
- V = market value of the firm = D + E
- Target capital structure = D/E
- Weights
- wE = E/V (% financed with equity)
- wD = D/V (%financed with debt)
- Impact of taxes
- We are concerned with after-tax cash flows, so we need to consider the effect of taxes on the various costs of capital
- Interest expense reduced tax liability
- This reduction in taxes reduces cost of debt
- After-tax cost of debt = Rd (1-Tc)
- = Pretax rate*(1-tax rate)
- Tax shield amount = (debt)*(coupon/Rd)*(tax%)
- Dividends are not tax deductible, so there is no tax impact on the cost of equity
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Divisional and Project Costs of Capital
- Using WACC to evaluate projects only appropriate for projects that have the same risk as the firm’s current operations
- If a project under evaluation does NOT have the same risk as the firm, a different discount rate (not WACC) to be used
- Divisions where the company is involved in different lines of business also require separate discount rates because they have different levels of risk
- Using one WACC to evaluate all projects irrespective of their riskiness will lead the firm to accept more risky projects and reject less risky ones
Solution 1 – Pure Play Approach
- Use of a WACC that is unique to a particular project
- Use WACC of a “peer” group of companies
- Companies that specialize in the project that is being considered
- Use WACC of a “peer” group of companies
- Compute the beta for each company in peer group, take an average, find the appropriate return for a project of that risk using CAPM
- Often difficult to find pure play companies
Solution 2 – Subjective Approach
- Consider the project’s risk relative to the firm overall
- If the project is riskier than the firm, use a discount rate greater than the firm-wide WACC
- If the project is less risky than the firm, use a discount rate less than the firm-wide WACC
- May result in incorrect acceptance and rejection, but the error rate should be lower than not considering differential risk at all
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Company Valuation Using WACC
- Companies are valued using the capital budgeting approach – discounting all cash flows of the firms to find the NPV
- Process: future adjusted cash flows from assets (CFA) are discounting at WACC