Chapter 12 - The Cost of Capital & Capital Structure Flashcards
What is capital structure?
Capital structure is the composition of the company’s equity and liabilities in its financial statements that show how the company, or its overall operation, is financed. The key objective of a company is to maximise the value of the company and should be considered when designing its optimal capital structure.
What is cost of capital and what are its two main uses?
A company’s cost of capital is the rate of return required by the providers of capital for making an investment in the
company.
<br></br> Rate of return that could have been earned by putting the money elsewhere<br></br>
The financial manager uses cost of capital when:
* designing a balanced and optimal capital structure
* evaluating new project or investment options
What is cost of equity?
The cost of equity is the return investors expect to achieve on their shares in a company. The rate of return an investor requires is based on the level of risk associated with the investment. Equity shareholders are the last investors to be paid out of company profits, as well as the last to be paid on the winding up of a company.
2 MAIN METHODS OF DETERMINING COST OF EQUITY
- capital asset pricing model
- dividend valuation model
Capital asset pricing
The capital asset pricing model (CAPM) was developed by Sharpe (1964) and Lintner (1965) as a means to measure the
cost of equity. The model studies and establishes an equilibrium relationship between the expected returns from each
security and its associated risks. It can be used to assess risk in individual company shares or a portfolio of securities.
The cost of equity capital obtained under CAPM is called the risk-adjusted discount rate (RADR). Once the market
portfolio has been established, the required rate of return for any security can be calculated using this model provided
the beta factor (explained in section 3.4) is known.
Risk associated discount rate (RADR)
The risk inherent in a project depends on the type of activity involved. Higher risk does not necessarily make a project
unattractive.<br></br>
The RADR is the rate used to discount a risky asset or investment such as real estate. It represents the required
periodical returns by investors to compensate for the higher risk involved. The higher the risk involved in the project, the
higher the discount rate. The cash flows from riskier assets will be discounted at a higher rate. This adjusted discount
rate is typically referred to as expected rate of return. It forms the basis for CAPM.<br></br>
The RADR is based on the risk-free rate (RFR) (such as a short-term interest rate from government securities or a fixed
deposit rate) and a risk premium for the riskier assets. <br></br><br></br>
RADR = RFR + risk premium
Where:
RADR = Risk-adjusted discount rate
**RFR = Risk-free rate**
<br></br>
The formula for calculating RADR is simple and it incorporates risk in the expected rate of return. The real challenge
occurs when measuring the risk premium. The quantification of risk involves good amount of subjectivity and detailed
analysis of asset classes. The approach to dealing with higher risk projects is to use a higher rate, effectively adding a
premium for the market risk.
di
Unsystematic risk
Unsystematic risks are risk factors specific to a particular company or industry which can be eliminated or diversified
away in a large portfolio of shares. These risks are not impacted by political and economic factors. Examples include
weak labour relations, adverse press reports and strikes. These are different for different companies; they might even
cancel each other out in some circumstances. Studies have shown that if the portfolio consists of 15 to 20 shares, then
most of the unsystematic risk tends to be diversified.
Systematic risk (market risk)
Systematic risk (or market risk) relates to the markets and the economy. It is largely caused by macroeconomic factors
and affects all the shares in the market. It is unavoidable and cannot be diversified. An example may be an economic
recession affecting both the markets and the economy of the country. The level to which each share will be affected will
differ, although it is known that all shares will be affected.
<br></br>
The degree of systematic risk is different in different industries. For instance, the food retailing sector faces lower
systematic risk in comparison to the hospitality sector, as food is a necessity. Irrespective of a recession, people will still
require their daily essentials. It is possible for an investor to select shares with a low systematic risk. Thus, investors
need to select shares that will provide returns over and above its risk-free rate of return.
Measuring systematic risk
Sharpe and others used regression analysis to study the relationships between the excess returns (in excess of the
RFR) earned on a share and the stock market portfolio. It is summarised in Figure 12.2.
The outcomes are summarised as follows.
* There is a direct correlation between the excess returns earned on a share and the stock market. In other words, in
times of boom or recession, individual shares tend to perform in line with the market movements.
* The gradient of the regression line is termed beta (ß).
* The greater the ß, the greater the systematic risk and the expected return from the share.
* When ß is at 45 degrees, it indicates that the systematic risk of the share is equal to the systematic risk of the
market. The ß of the share is 1 in this case and the movement on the vertical and horizontal axis is similar. The
higher (or lower) return of the share is in line with the return on the stock market.
<br></br>
* When the gradient of the regression line is greater than 45 degrees, it indicates that the systematic risk of the share
exceeds the systematic risk of the stock market; hence, the excess return on the share is greater than the excess
return on the stock market. The ß is greater than 1 in this case.
* When the gradient of the regression line is less than 45 degrees, it indicates that the systematic risk of the share
is lower than the systematic risk of the stock market; hence, the excess return on the share is less than the excess
return on the stock market. The ß is less than 1 in this case.
* The vertical intercept point of the regression line is termed alpha (a). In a perfect world, the alpha coefficient should
be zero, that is, the regression line should go through the graph’s origin. If the alpha coefficient is greater than zero,
this implies that the return on the share is generating an abnormal return due to an element of unsystematic risk.
However, over time, such abnormal returns should cancel out and the alpha coefficient will become zero.
Calculating cost of equity
RADR = RFR + ß (RM – RFR)
Where:
* RFR = Risk-free rate
* RM = return on stock market portfolio
* ß = risk premium statistically derived
* RM – RFR = market risk premium (the expected return on the market minus the risk-free rate).
Main assumptions of CAPM
- Investors are rational and possess full knowledge about the market.
- Investors expect greater returns for taking greater risks.
- It is possible for an investor to diversify the unsystematic risk by actively managing the portfolio.
- Borrowing and lending rates are equal.
- There are no transaction costs.
- Markets are perfect and market imperfections tend to correct themselves in the long run.
- The RFR is the same as the returns on the government bonds.
- There is no taxation and no inflation.
Main criticisms of CAPM
- Research has shown that the linearity of the SML has been lost with changes of gradient at different levels of ß
- during some periods.
- Apart from changes in ß, there are also other reasons (such as company size or market value) for the shares to give
- excess returns. These are not considered by CAPM.
- There are practical difficulties in deriving the systematic risk and the ß of any company as trading on the stock
- market is subject to numerous factors.
- Companies with more than one division and company channel might have different systematic risks for each
- division – yet ß is derived on the basis of a single share price.
Dividend valuation (dividend growth) method
The dividend valuation model (or dividend growth model) states that the value of the company/share is the present value
of the expected future dividends discounted at the shareholders’ required rate of return.
Assuming a constant growth rate in dividends:
P = Do (1 + G) / (Ke-G)
Where:
P = current share price
Do = current level of dividend
g = expected growth rate in dividends
<br></br>
Ke = (Do (1 + g) / P ) + g
<br></br>
Do (1 + g) is the dividend at the end of the year (D1)
.
What is cost of debt and basically how calculated?
Raising debt to finance a company’s operations comes at a cost. Conceptually, the cost of debt refers to the effective
interest rate a company pays on its debt (such as bonds, mortgages or debentures). The cost of debt is usually
expressed as an after-tax rate, = (1 – t), because interest is a tax-deductible expense.
What is/calculating irredeemable debt
Irredeemable debt is a perpetual debt which is never repaid.Calculated using the following equation
Kd = I (1 - t) / Sd
Kd = Cost of debt capital
I = Annual interest
t = Corporate tax rate
Sd = Market price of the debt
<br></br>
The higher the rate of corporate tax payable by the company, the lower the after-tax cost of debt capital<br></br>
While calculating the cost of debt, we assume that the interest payable on debt instruments attracts the tax deduction.
The cost of preference shares with the same coupon rate and market value will be higher than the cost of debt capital
as there is no tax relief on a preference share dividend.
<br></br>
The cost of any debt with no tax relief and the cost of preference shares is calculated as:
Kd = I / Sd
Redeemable debt
Redeemable debt is usually repaid at its nominal value (at par) but may be issued as repayable at a premium on
nominal value. It is repayable at a fixed date (or during a fixed period) in the future.
A company raises redeemable debt to pay back at a fixed future date. The cost of debt on redeemable debt can be
calculated by the internal rate of return (IRR). The internal rate of return is a method used for investment appraisal
that calculates the rate of return at which the net present value of all the cash flows (both positive and negative) from
a project or investment is equal to zero. It evaluates the profitability and the attractiveness of potential investments.
Calculation of IRR is covered in Chapter 13.
The cost of debt helps to understand the company’s risk level compared to others. Companies carrying higher risk will
have a higher cost of debt.
Redeemable debt - IRR method
Yr 0 = £100m
Yr1 = £121m (121/100 = 1.21 = 1 / 0.21)
Return = 21p for every £1 investment / for every £100 investment = £21
21% per annum
Where cost of capital is 10% -
return is higher than cost of capital, leaves ^11% to keep – where higher than cost of capital, KEEP
Weighted average cost of capital
The weighted average cost of capital (WACC), commonly referred to as the company’s cost of capital, represents
the minimum return that a company must earn on its existing assets. It reflects the weighted average rate of return a
company is expected to pay to all the providers of long-term finance. The weights are the fraction of each financing
source in the company’s total capital. WACC is influenced by the external market.
The WACC is derived by averaging a company’s cost of equity and cost of debt according to the market value of each
source of finance. The appropriate weights are the target capital structure weights expressed in market value terms.
<br></br> WACC = Ke x ( E / E + D) +Kg (1-t) x (D / E + D)
<br></br>
Where:
WACC = Weighted average cost of capital
E = Total market value of equity
D = Total market value of debt
t = Corporate tax rate
<br></br>
GRID
Market Value - 2nd column
Equity (shares x pps)
Debt (debentures x coupon rate)
Equity + debt bottom line
Weight - 3rd Column
E or D / E+D and put total
KW - 4th column
Multiply Ke and Kd % by weighting colum figures
<br></br>
Wacc = ADD THE 2 FIGURES PER COLUMN 4
Capital structure
After determining the finance required for an investment or project, a company must consider the use of various sources
of finance . Capital structure refers to the mix of equity and debt financing that shows how the company, or its overall
operation, is financed. It is concerned with the balance between equity (shares and retained earnings) and non-current
liabilities (loans, debentures or fixed-return capital). The sources and the mix of capital are decided on the basis of need
of the company and the cost of capital.
Main decisions re capital structuring
- the sources (form of capital)
- their quantity (amount to be funded)
- the use of their relative proportions in total capitalisation
How can one measure the value of a company (for uses in financing/decisions re capital struture)
EBIT ÷ WACC
Market value (MV) = future cash flows ÷ WACC
<br></br>
Ex. if a project generates future cash flows of £100,000 at 10% WACC:
MV = £100 ÷ 10% = £1,000
Main factors which effect capital structure (8)
- Financial leverage/gearing: EPS increase with use of long-term debt/preference share capital if company’s returns are higher than cost of debt
- Growth: equity financing popular with start ups and high growth industries like tech. High cost of servicing the debt restricts growth
- Cost principle: debt capital is cheaper than equity capital. Debt is less risk. Interest on debt is tax deductible for CT, but isn’t on dividends. Debt capital should minimise cost of capital and increase EPS
-
Risk principle
* Company - variability of earnings resulting in inadequate profit or ,loss due to company uncertainties (ex. lack of strateguic management, inadequate resources). Internal and external (ex. competition/overall economic climate)
* Operating risk - risk of disruption of core operations of the company due to breakdown of systems, people and procedures. Operating gearing = proportion of fixed costs company has relative to variable costs..
* Financial risk - risk from financing - risk of default if company cannot cover its fixed financial costs. Extent depends on leverage of capital structure. A company with debt financing has higher financial risk. - Control principle : funds raised via equity - dilution / adverse affect on control. This would not happen if raise through debt capital.
- Market Conditions - ex. interest ratests higher in a struggling market due to economic uncertainties compared to the market in a ‘normal ‘ state
- Tax Exposure - tax deductibility of debt interest payments can increase attractiveness of debt finacing.
- Other Factors -ex. gov regs, trends in markets, capital structure of other companies, floation costs
What is financial gearing?
Financial gearing measures the proportion of debt a company has relative to its equity. It is a measure of a company’s
financial leverage (also called ‘trading on equity’) and shows the extent to which its operations are funded by interest
bearing lenders versus shareholders.
Debt is normally cheaper than equity. Lenders are likely to require a lower return than shareholders because debt is
considered to be a less risky investment compared to investing in shares. Interest payable to debt lenders is normally
tax deductible, which makes the net cost of debt even lower. Debt financing should minimise the cost of capital and
maximise the EPS. A company with significantly more debt than equity is regarded as highly geared (or leveraged).
However, increasing the amount of debt or gearing in a company also increases risks for the shareholder because fixed
interest must be paid each year before the company is able to pay dividends.
What are the two ways of calculating financial gearinfg?
Equity gearing = (Debt borrowing + preference share capital) / (Ordinary share capital + Equity)
Total or capital gearing = (Debt borrowing + preference share capital) / Total Long-Term Capital
<br></br>
Debt is the book or market value of interest-bearing financial liabilities. It could be in the form of a secured or
unsecured loan such as debentures, loans, redeemable preference shares, bank overdrafts or lease obligations. If
available, market values should be used for debt and for equity to get the best measure of gearing. An investor looks
for the market required rate of return on the market value of the capital, not the book value of the capital. When not
available, values from financial statements can be used.
With both methods, gearing will increase with higher proportions of debt.
* **bankruptcy risk** increases with increased gearing; * **agency cost and restrictive conditions imposed** in the loan agreements constrain management’s freedom of action, * such as restrictions on dividend levels or on the company’s ability to borrow; * **after a certain level** of gearing, companies will have **no tax liability left against which to offset** interest charges (tax * exhaustion); * companies **may run out of suitable assets to offer as security** against loans with high gearing; * gearing **increases the cost of borrowing**; and * **directors have a natural tendency to be cautious** about borrowing and the related solvency issues.
As the gearing increases, the cost of equity rises just enough to offset any benefits conferred by the use of apparently cheap debt (Kd). This means that WACC remains constant at all levels of gearing.
Under the MM theory, the company value depends upon future operating profits. The essential point made by M&M is that the company’s cost of capital is independent of the way in which investment is financed. Arbitrage (market pressures) will ensure that two identical companies, with same company risk and identical provisions before interest and tax (PBIT), will have the same overall market value and cost of capital irrespective of their gearing level.
* 1st proposition - the value of the geared firm equals the value of the ungeared firm (earnings before interest ÷ WACC). The value of WACC is constant at all levels of gearing. * 2nd proposition - that savings from debt being cheaper than equity are equal to the increase in the cost of equity due to increased risk arising from gearing. The cost of equity in geared company Kg equals the cost of ungeared company Ku plus a premium for financial risk.
Later developments in the theory with the introduction of tax state that debt interest is tax-deductible, whereas ordinary share dividends are not. The conclusions are that debt is, in fact, cheaper than equity. Tax relief on debt interest reduces the WACC. Therefore, gearing up reduces the WACC and increases the market value of the company. The optimal capital structure is 99.9% gearing. This means the higher the debt, the lower the WACC and the higher the market value. The company should use as much debt as possible.