* An Institutional Framework for analyzing Capital Structure
- The Benefits of Borrowing
- The Costs of Borrowing
* Tools For Evaluating Capital Structure
1. Cost Of Capital
* What is the cost of capital?
* Minimizing the cost of capital
* Applying the cost of capital approach to evaluate capital
structure
2. Relative Analysis
* Proxies for benefits and costs
* Visual scanning and ranking
* Wider crosssectional approaches: Regression
* The link to leveraged buyouts
THE COSTS AND THE BENEFITS OF DEBT
* Real Benefits Of Debt:
(a) Tax Benefits: Interest on debt is tax deductible
whereas cashflows on equity (like dividends) are not. Consequently the effective
cost of debt is the interest cost net of tax benefits. Using some simple
notation, assume that r is the interest rate on debt, t is the marginal
tax rate on income to the corporation and B is the borrowing. Then the tax
benefit each year from borrowing can be written as follows:
Tax benefit each year = t r B
After tax interest rate of debt = (1-t) r
Proposition 1: Other things being equal, the higher
the marginal tax rate of a corporation, the more debt it will have in its
capital structure.
1. You are comparing the debt ratios of real estate
corporations, which pay the corporate tax rate, and real estate investment
trusts, which are not taxed, but are required to pay 95% of their earnings
as dividends to their stockholders. Which of these two groups would you
expect to have the higher debt ratio?
( ) The real estate corporations
( ) The real estate investment trusts
( ) Cannot tell, without more information
(b) Adds discipline to management: Equity is
a cushion; Debt is a sword; The management of firms which have high cashflows
left over each year are more likely to be complacent and inefficient. The
discipline of debt gives them a greater incentive to shape up. (This is
called the 'Free Cashflow Hypothesis')
2. Assume that you buy into this argument that
debt adds discipline to management. Which of the following types of companies
will most benefit from debt adding this discipline?
( ) Conservatively financed, privately owned businesses
( ) Conservatively financed, publicly traded companies, with a wide and
diverse stock holding
( ) Conservatively financed, publicly traded companies, with an activist
and primarily institutional holding.
* Real Costs Of Debt
(1) Bankruptcy Cost: The expected bankruptcy cost
is a function of two variables--
- the cost of going bankrupt: This cost includes
legal and other deadweight costs associated with bankruptcy. This is not
highly correlated with the amount of debt. In general, financial distress
may create costs for you even before actual bankruptcy in terms of lost
sales or other costs. These costs are going to be greater if
(a) you manufacture products that require repairs (Example:
Chrysler)
(b) you provide goods or services where quality is an
important attribute but is difficult to determine in advance (Example: Airlines)
(c) you manufacture products for which there are switching
costs (Example: Computers)
(d) Products whose value to customers depends on the
services and complementary products supplied by independent companies. (Example:
Software for Computer companies)
- the probability of bankruptcy: The greater the
proportion of debt in a firm, the higher will be the probability of bankruptcy.
In general the probability of bankruptcy should increase with
(a) the degree of operating leverage, (b) cyclical variations
in the industry, (c) competition in the industry, (d) relative price fluctuations
of commodities used in the firm and (e) smaller size and less diversification
in the firm.
Proposition 2: Other things being equal, the greater
the implicit bankruptcy cost and/or probability of bankruptcy in the operating
cashflows of the firm, the less debt the firm can afford to use. Hence firms
with relatively stable and predictable cashflows can afford to borrow more
than firms that have variable and unpredictable cashflows.
3. Rank the following companies on the magnitude
of bankruptcy costs from most to least, taking into account both explicit
and implicit costs ñ
( ) A Grocery Store
( ) An Airplane Manufacturer
( ) High Technology company
(2) Agency Cost: When a firm borrows money
a set of agency problems are created:
(a) The equity investors may promise to take safe projects
when they borrow the money but then turn around and take much riskier projects.
(b) The equity investors may use the borrowed money to
pay out large dividends to themselves.
When a firm borrows money, it usually attracts a set
of covenants that affect its flexibility. This lost flexibility has a cost.
The following is a list of covenants usually found in bond agreements.
Proposition 3: Other things being equal, the greater
the agency problems associated with lending to a firm, the less debt the
firm can afford to use. [Agency problems will be more accentuated if a firm's
assets are intangible or if the firm's projects are difficult to monitor]
4. You are a lender, and are concerned about lending to a firm, with
substantial growth opportunities and good projects, but also with projects
which are difficult to monitor. An investment banker suggests that convertible
bonds may be one way of resolving the problem. Explain how.
(3) Loss of future financing flexibility: When
a firm borrows upto its capacity, it loses the flexibility of financing
future projects with debt. Given the reluctance of firms to issue new stock,
this might mean that the firm might have the reject good projects in the
future.
Proposition 4: Other things remaining equal, the more
uncertain a firm is about its future financing requirements and projects,
the less debt the firm will use for financing current projects.
A Balance Sheet Format
Advantages of Borrowing |
Disadvantages of Borrowing |
1. Tax Benefit: Higher tax rates --> Higher tax benefit |
1. Bankruptcy Cost: Higher business risk --> Higher Cost |
2. Added Discipline: Greater the separation between managers and stockholders --> Greater the benefit |
2. Agency Cost: Greater the separation between stock- holders & lenders --> Higher Cost |
3. Loss of Future Financing Flexibility:
Greater the uncertainty about future financing needs --> Higher Cost |
The Miller-Modigliani Theorem
In an environment, where there are no taxes, default
risk or agency costs, capital structure is irrelevant. The value of a firm
is independent of its debt ratio.
* Assume now that you relax the tax rate assumption,
and leave the other assumptions unchanged. What is the optimal debt ratio
then?
* Implications
(a) Leverage is irrelevant. A firm's value will be determined
by its project cash flows.
(b) The cost of capital of the firm will not change with
leverage. As a firm increases its leverage, the cost of equity will increase
just enough to offset any gains to the leverage.
WHAT DO FIRMS LOOK AT IN FINANCING?
A. Is there a financing hierarchy?
* Argument
There are some who argue that firms follow a financing
hierarchy, with retained earnings being the most preferred choice for financing,
followed by debt and that new equity is the least preferred choice.
* Rationale
Managers value flexibility and control. To the extent
that external financing reduces flexibility for future financing (especially
if it is debt) and control (Bonds have covenants; New equity attracts new
stockholders into the company and may reduce insider holdings as a percentage
of total holding), managers prefer retained earnings as a source of capital.
* Preference rankings long-term finance: Results of
a survey
Ranking Source Score
1 Retained Earnings 5.61
2 Straight Debt 4.88
3 Convertible Debt 3.02
4 External Common Equity 2.42
5 Straight Preferred Stock 2.22
6 Convertible Preferred 1.72
5. You are reading the Wall Street Journal and notice
a tombstone ad for a company, offering to sell convertible preferred stock.
What would you hypothesize about the health of the company issuing these
securities?
r Nothing
r Healthier than the
average firm
r In much more financial
trouble than the average firm
What to include in debt
General Rule: Any interest-bearing
liability should be included in debt, and hence in the calculation of debt
ratios.
What do you do about...
* Hybrid Securities: The
standard practice in calculating debt ratios has been all or nothing - a
security is classified as debt if it has more debt characteritics than equity
characteristics, which is itself a subjective judgment. The problem in this
approach is that it leads to large shifts in debt ratios, depending upon
whether a security is included in debt or not, and sudden changes in years
in which a security is converted into equity. A more sensible way of dealing
with hybrid securities would be to estimate the debt and equity components
separately for hybrid securities and add these components to their respective
sides.
* Off-Balance Sheet Commitments: The
general rule to follow is to ignore contingent liabilities which hedge against
risk, since the obligations on the contingent claim will be offset by benefits
elsewhere.
* Leases: The third
area of debate is the treatment of leases. While capitalized leases are
now shown as part of debt, operating leases are not. Since a fine line separates
the two, the conservative approach to estimating debt ratios will capitalize
operating leases and show them as part of debt.
* Pensions: Firms generally
include in their debt, the excess of accumulated benefit obligation over
the pension fund assets. Here again, a conservative estimate of the debt
ratio will consider projected benefit obligation over pension fund assets.
* Debt of non-consolidated entities: Firms
generally do not have to show as a liability that debt that is owed by their
non-consolidated subsidiaries, even though they may have guaranteed and
stand liable for that borrowing.
Measuring Financial Leverage
Debt Ratios
Debt ratios attempt to do this, by relating debt to total
capital or to equity. The two most widely used debt ratios are -
Debt to Capital Ratio = Debt / (Debt + Equity)
Debt to Equity Ratio = Debt / Equity
The first ratio measures debt as a proportion of the
total capital of the firm, and cannot exceed 100%. The second measures debt
as a proportion of the book value of equity in the firm, and can be easily
derived from the first, since -
Debt/Equity Ratio = (Debt/Capital Ratio)/(1-Debt/Capital
Ratio)
a. Variants on Debt Ratios
There are two close variants of these ratios. In the
first, only long term debt is used rather than total debt, with the rationale
being that short term debt is transitory and will not affect the long term
solvency of the firm.
Long-term Debt to Capital Ratio = Debt / (Debt + Equity)
Long-term Debt to Equity Ratio = Debt / Equity
Given the ease with which firms can roll over short
term debt, and the willingness of many firms to use short term financing
to fund long term projects, these variants can provide a misleading picture
of the firm's financial leverage risk.
b. Market Value Ratios
The second variant of these ratios uses market value
instead of book value, primarily to reflect the fact that some firms have
a significantly greater capacity to borrow than their book values indicate.
Market Value : Debt to Capital Ratio = MV of Debt / (MV of Debt + MV of Equity)
MV Debt to Equity Ratio =MV of Debt /
MV of Equity
The Cost Of Capital Approach
* What is the cost of capital?
The cost of capital is a composite cost to the firm of
raising financing to fund its projects. It is the discount rate that will
be applied to capital budgeting projects within the firm. It will depend
upon:
(a) the components of financing: Debt, Equity or Preferred
stock
(b) the cost of each component
In summary, the cost of capital is the cost of each component
weighted by its importance in the firm's financing decision.
WACC = ke (E/(D+E)) + kd (D/(D+E))
where,
WACC = Weighted Average Cost of Capital
ke
= Cost of Equity
kd
= After-tax Cost of Debt
E/(D+E), D/(D+E) = Proportions of equity and debt in
capital structure.
* Step 1: Calculating the cost of each component
Cost of Debt: The cost
of debt is the market interest rate that the firm has to pay on its borrowing.
It will depend upon three components-
(a) The general level of interest rates:
When interest rates go up, all firms will face a higher cost of debt.
(b) The default premium:
This will depend upon the firm's riskiness. The risker the firm, the higher
the default premium
(c) The firm's tax rate:
Since interest on debt is tax deductible, the only relevant cost of debt
is the after tax cost of debt
Cost of debt = kd = Current Borrowing Rate (1 - Tax rate)
The cost of debt is
- the current market interest rate at which the company
can issue debt.
- corrected for the tax benefit that one gets for interest
The cost of debt is not
- the interest rate at which the company obtained the
debt it has on its books.
Cost of Equity: The
Capital Asset pricing model provides us with the basis for making this estimation.
Cost of Equity = Rf + b
(E(RM)
- Rf)
where,
Rf = Riskfree Rate
b
= Beta of the stock
E(RM)
= Expected Return on market
Question: What is the cost of using retained earnings?
of preferred stock?
The cost of equity is
1. the required rate of return given the risk of the
company and interest rates/ risk premiums.
2. inclusive of both dividend yield and price appreciation
6. A recent article in an Asian business magazine argued that equity
was cheaper than debt, because dividend yields are much lower than interest
rates on debt. Do you agree with this statement
( ) Yes
( ) No
Can equity ever be cheaper than debt?
( ) Yes
( ) No
7. In the same vein, there were many who argued
that Japanese companies had low costs of equity in the late 80s, because
they issued stock at high Price/Earnings Ratios. Do you agree with this
statement?
( ) Yes
( ) No
* Step 2: Calculate the weights of each component
Rule 1: Use the average and not the marginal proportions of debt
and equity. (For example, if a company has 40% equity and 60% debt overall,
and is considering a new project is financed entirely with debt the appropriate
weights are 40-60 and not 0-100%.)
Why? An Example
Assume company has an optimal debt ratio of 50% and is
currently at the optimal ($500 million debt, $500 million equity). The cost
of equity is 15% and the after-tax cost of debt is 5%.
Firm's WACC = 15% (50%) + 5% (50%) = 10%
Project A: Requires
$100 million; Financed with 100% Debt; Has an IRR of 9%.
Project Specific WACC = 5%
Project B: Also requires
$100 million; Financed with 100% Equity; Has an IRR of 12%.
Project Specific WACC = 12%
* Which project would you accept/reject using project-specific
WACC? Does your decision make sense?
* Which project would you accept using the firm's WACC?
Rule 2: Always use the market weights of equity, preferred stock
and debt for constructing the weights. Book values are often misleading
and outdated.
Market value of equity = Number of shares outstanding
* current share price
Market value of debt = The market value of debt will
depend upon the maturity of the bonds, the coupon rate and the current market
interest rate.
(If the maturities and coupon rates are unclear use book
values)
Fallacies about book and market value:
1. People will not lend on the basis of market value.
2. Book Value is more reliable than Market Value because
it does not change as much.
8. Many CFOs argue that using book value is more conservative
than using market value, because the market value of equity is usually much
higher than book value. Is this statement true, from a cost of capital perspective?
(Will you get a more conservative estimate of cost of capital using book
value rather than market value?)
r Yes
r No
* Step 3: Calculate the weighted average cost of capital
Cost of capital = Weight of each component * Cost of
the component
= Cost of Equity * Weight of Equity + Cost of Debt *
Weight of debt
WHY DOES THE COST OF CAPITAL MATTER?
A. Cashflow to Equity vs. Cashflow to the firm
A firm is composed of both debt and equity investors.
Equity investors get cashflows to equity and debt investors get interest
and principal payments.
Stakeholder Cashflows to Stakeholder
Equity Investors Net
Income
- ( Capital Spending - Depreciation) (1-Debt Ratio)
- D Working
Capital (1- Debt Ratio)
= Free Cashflows to Equity
Lenders Interest Expenses
(1 - tax rate)
+ Principal Payments
Firm Free Cashflows
to Firm
= Equity = Free Cashflows to Equity
+ Lenders + Interest Expenses (1 - tax rate)
+ Principal Payments
First Principle of Discounting: The discount rate
chosen for discounting should be appropriate for the cashflows being discounted.
Cashflow Discount Rate PV is Compare to
Cashflows to Equity Cost of Equity Value of Equity Equity
Investment
Cashflows to Firm WACC Value of Firm Total Investment
=
Debt+Equity
Optimum Capital Structure and Cost of Capital
If the cash flows to the firm are held constant, and
the cost of capital is minimized, the value of the firm will be maximized.
* Equivalence of the two approaches
Example: Assume that
you have a project that requires a $100 million investment and produces
cashflows to firm of $20 million through infinity. Assume also that you
finance this project with 50% Debt (Interest rate 8%; Perpetual bonds) and
50% equity (Cost of Equity = 15%). The project can be evaluated two ways:
I. Equity Approach:
Cashflows to Equity = Cashflows to Firm - Interest (1
- tax rate ) - Principal repaid
= 20 million - 4 million (1- 0.4) - 0 = 17.6 million
PV of Cashflows to Equity = Cashflows to Equity / Cost
of Equity (since it is perpetuity)
= 17.6/0.15 = 117.33
NPV of Project (from Equity standpoint) = PV of Cashflows
to Equity - Equity investment
= 117.33 - 50 = 67.33 (since equity is 50% of $100 million
investment)
II. Firm Approach
Cashflows to Firm = 20 million
Market Value of Equity = 117.33 (Note that we use market
value instead of book value)
Value of Debt = 50 (Here Market Value = Book Value)
Weighted Average cost of capital = (117.33/167.33) (15%)+(50/167.33)
(8% (1 - 0.4)) = 0.1195
PV of Cashflows to Firm = 20 million / 0.1195 = 167.33
NPV of Project (from firm's viewpoint) = 167.33 - Total
Investment (100) = 67.33
Illustration: From Cost of Equity to Cost of
Capital - Boeing and The Home Depot
Expected Return for Boeing = 7.50% + 0.94 (5.5%) = 12.67%
For The Home Depot, the estimate of required return is:
Expected Return for The Home Depot = 7.50% + 1.38 (5.5%) = 15.09%
After-tax Cost of Debt for Boeing = 8.25% (1-0.34) = 5.45%
After-tax Cost of Debt for The Home Depot = 8.50% (1-0.34) = 5.61%
Neither company has any preferred stock or convertible debt outstanding, leading to the cost of capital based upon the proportions of debt and equity in each company. The debt and equity proportions are calculated based upon the market values of debt and equity outstanding at the end of 1994 :
Company | Debt | Market Value of Equity | D/(D+E) |
Boeing | $2,609 | $18,073 |
12.61% |
The Home Depot | $900 |
$20,815 |
4.14% |
Company | D/(D+E) | Cost of Debt | E/(D+E) | Cost of Equity | Cost of Capital |
Boeing | 12.61% |
5.45% |
87.39% |
12.67% |
11.76% |
Home Depot | 4.14% |
5.61% |
95.86% |
15.09% |
14.70% |
Company | Return on Capital | Cost of Capital | Difference |
Boeing | 8.03% |
11.76% |
-3.73% |
The Home Depot | 18.36% |
14.70% |
3.66% |
Applying The Cost Of Capital Approach
* The textbook example
If an analyst has the costs of equity and debt for different
levels of debt, the decision is straightforward: (Assume that the tax rate
is 40%)
D/(D+E) | ke | kd | After-tax Cost of Debt | WACC |
0 | 0.105 | 0.08 | 0.048 | 0.105 |
0.1 | 0.11 | 0.085 | 0.051 | 0.1041 |
0.2 | 0.116 | 0.09 | 0.054 | 0.1036 |
0.3 | 0.123 | 0.09 | 0.054 | 0.1023 |
0.4 | 0.131 | 0.095 | 0.057 | 0.1014 |
0.5 | 0.14 | 0.105 | 0.063 | 0.1015 |
0.6 | 0.15 | 0.12 | 0.072 | 0.1032 |
0.7 | 0.161 | 0.135 | 0.081 | 0.105 |
0.8 | 0.172 | 0.15 | 0.09 | 0.1064 |
0.9 | 0.184 | 0.17 | 0.102 | 0.1102 |
1 | 0.197 | 0.19 | 0.114 | 0.114 |
Measures of Short-Term Liquidity Risk
a. Current Ratio
The current ratio is the ratio of current assets (cash,
inventory, accounts receivable) to its current liabilities (obligations
coming due within the next period).
Current Ratio = Current Assets / Current Liabilities
A current ratio below one, for instance, would indicate
that the firm has more obligations coming due in the next year than assets
that it can expect to turn to cash. That would be an indication of liquidity
risk.
b. Quick Ratio
The quick or acid test ratio is a variant of the current
ratio. It distinguishes between current assets that can be converted quickly
into cash (cash, marketable securities) from those that cannot (inventory,
accounts receivable).
Quick Ratio = (Cash + Marketable Securities) / Current
liabilities
The exclusion of accounts receivable and inventory is
not a hard and fast rule. If there is evidence that either can be converted
into cash quickly, it can be included as part of the quick ratio.
c. Working Capital Turnover Ratios
The management of working capital is often a key component
of the management of cash and liquidity risk. One measure of the efficiency
of working capital is the magnitude of inventory and accounts receivable,
relative to annual cost of goods sold and sales -
Accounts Receivable Turnover = Sales / Average Accounts Receivable
Inventory Turnover = Cost of Goods Sold / Average Inventory
These statistics can be interpreted as measuring
the speed with which the firm turns accounts receivable into cash or inventory
into sales.
Long-term Solvency and Default risk
Measures of long-term solvency attempt to examine
a firm's capacity to meet interest and principal payments in the long term.
Interest Coverage Ratios
The interest coverage ratio measures the capacity of
the firm to meet interest payments from pre-debt, pre-tax earnings.
Interest Coverage Ratio = Earnings before interest and taxes / Interest Expenses
The higher the interest coverage ratio, the more secure
is the firm's capacity to make interest payments from earnings. Two firms
can have the same interest coverage ratio, but can be viewed very differently
in terms of risk, because of the volatility in earnings.
The denominator in the interest coverage ratio can be
easily extended to cover other fixed obligations such as lease payments.
Fixed Charges Coverage Ratio = Earnings before interest and taxes / Fixed Charges
Finally, this ratio, while stated in terms of earnings,
can be restated in terms of cash flows, by using earnings before interest,
taxes and depreciation (EBITDA) in the numerator and cash fixed charges
in the denominator.
Cash Fixed Charges Coverage Ratio = EBITDA / Cash Fixed Charges
Both interest coverage and fixed charge ratios are open
to the criticism that they do not consider capital expenditures, a cash
flows that may be discretionary in the very short term, but not in the long
term, if the firm wants to maintain growth. One way of capturing the extent
of this cash flow, relative to operating cash flows, is to compute a ratio
of the two -
Operating Cash flow to CapEx = Cash flows from Operations / Capital Expenditures
While there a number of different definitions of cash
flows from operations, the most reasonable way of defining it is to measure
the cash flows from continuing operations, before interest but after taxes,
and after meeting working capital needs.
Cash flow from operations = EBIT (1-tax rate) - D Working Capital