Title: Financial Statement Analysis
1Financial Statement Analysis
2Financial Statement Analysis Contents
- Overview and objective of financial statement
analysis - Review and Re-formatting Statements for Financial
Analysis - Income Statement EBITDA and NOPLAT
- Cash Flow Statement - Free Cash Flow and Equity
Cash Flow - Financial ratio analysis
- Management Performance
- Valuation
- Credit Analysis
- Financial Model Drivers
- Reference Slides
- Financial Ratio Calculations
- Discussion of Economic Profit
3Financial Statement Analysis - Introduction
- Financial Statement Analysis should tell a story
about the company How profitable is the
company, what are the trends, how much risk is
there etc. - You should be comfortable in reading various
different financial statements to be effective at
financial modeling and financial analysis. - Financial statement analysis is also important
in - Assessing management performance of a company
and whether projections of improvement or
sustainability are reasonable. - Assessing the value of a company from historic
performance. - Assessing the reasonableness of financial
projections provided by a company or the validity
of earnings projections - Assessing whether the financial structure of a
company is of investment grade quality
4Objectives of Financial Statement Analysis
- Financial statement analysis is like detective
work How can we use information in financial
statements to make assessments of various issues.
The financials should paint a picture of what
has happened to the company - How can we quickly review the income statement,
balance sheet and cash flow statement to
determine how the stock market value of a company
compares to inherent value. - How can we look the financial statements and
assess risks associated with a company and
whether the company has sufficient cash flow to
pay off debt. - Finance and valuation are about projecting the
future -- how can financial statement analysis
be used in making projections. - The problem in any financial analysis and
valuation is that measuring risk is very difficult
5Double Counting and Judgments in Financial Ratio
Analysis
- In analyzing financial statements judgments must
be made in computing key data such as EBITDA and
in developing financial ratios. - Examples
- Whether or not to include Other Income in EBITDA
- If other income not in EBITDA, then should not
add non-consolidated subsidiary companies in
invested capital - Exploration Expenses taken out of EBITDA
- Make consistent between companies with different
accounting policies - Goodwill (ROIC with or without goodwill depending
on analysis issue) - Minority Interest (if include or exclude do for
both income and balance) - Total of minority interest is in EBITDA,
therefore must include financing of minority
interest in invested capital - A key principle is that the financial data and
the financial ratios are consistent and logical
work through simple examples
6Income Statement
7Income Statement
- Review trends in EBITDA, EBIT, EBT and Net Income
and explain what is happening to the company - EBITDA includes operating earnings and other
income, but it does not include foreign exchange
gains or losses, minority interest, extraordinary
income or interest income. - EBITDA is a rough proxy for free cash flow
- EBITDA is not generally shown on Income Statement
- Potential Adjustments for items such as
exploration expense - Compare EBIT to Net Assets and Net Capital
- Ratio of EBITDA to Revenues should be shown for
historic and projected periods - EBITDA is related to un-levered cash flow while
Net Income and EPS are after leverage - NOPLAT is computed by EBIT less adjusted taxes,
where taxes are computed through adjusting income
taxes.
8Standard Computation of EBITDA
9Problems with EBITDA
- EBITDA is useful in its simplicity, and can be a
good reference for comparison of debt and value,
but it has weaknesses - EBIT is more important than DA, because must use
cash for replacing depreciation and amoritsation - In credit analysis, EBITDA works better for low
rated credits than high rated credits. (Moodys) - EBITDA is a better measure for companies with
long-lived assets - EBITDA can be manipulated through accounting
policies (operating expenses versus capital
expenditures) - EBITDA ignores changes in working capital, does
not consider required re-investment, says nothing
about the quality of earnings, and it ignores
unique attributes of industries.
10Simplified Income Statement
- Sales- COGS
- Gross Margin- SGA- Other Expenses
- Other Income
- EBITDA
- - Depreciation and Amortization
- EBIT
- - Interest Expense (income)
- EBT- Income Taxes
- - Minority Interest
- Net Income
- NOPLAT EBIT x (1-tax rate)
- NOPLAT Net Income Interest Expense x (1-tax)
There is a debate about how to handle other
income from non-consolidated subsidiary
companies. One school of thought (McKinsey) is
that they should be valued separately since they
will have different cost of capital etc. In this
case, do not include in EBITDA and remove the
asset balance from the invested capital. Must be
consistent
11Analysis of Income Statement Computation of
EBITDA, Minority Interest, Preferred Dividends,
Exploration Expense
12Income Statement Analysis
- Example of Adjustments to EBITDA
- Exploration Expenses (EBITDAX)
- Rental and Lease Payments (EBITDR)
- EBITDA Computation
- Top Down move other income
- Bottom-up (Indirect)
- EBITDA Notes
- Interest Income out of EBITDA
- Interest Expense not in EBITDA
- Understand Non-cash Expenses
- Deferred Mining Costs
- Equity Income
- Minority Interest
13Discounted Cash Flow Analysis Real World Example
- Credit Suisse First Boston estimated the present
value of the stand-alone, Unlevered, after-tax
free cash flows that Texaco could produce over
calendar years 2001 through 2004 and that Chevron
could produce over the same period. The analysis
was based on estimates of the managements of
Texaco and Chevron adjusted, as reviewed by or
discussed with Texaco management, to reflect,
among other things, differing assumptions about
future oil and gas prices. - Ranges of estimated terminal values were
calculated by multiplying estimated calendar year
2004 earnings before interest, taxes,
depreciation, amortization and exploration
expense, commonly referred to as EBITDAX, by
terminal EBITDAX multiples of 6.5x to 7.5x in the
case of both Texaco and Chevron. - The estimated un-levered after-tax free cash
flows and estimated terminal values were then
discounted to present value using discount rates
of 9.0 percent to 10.0 percent. - That analysis indicated an implied exchange ratio
reference range of 0.56x to 0.80x.
14Employee Stock Options
- One can debate the treatment of employee stock
options for EBITDA, free cash flow and valuation. - Think of options as giving stock to employees
- If the treatment has changed over the years and
it is a significant expense, make adjustments to
current or prior statements for consistency. - Think of options as giving free shares to
employees. The value of existing shareholders is
diluted. - One can argue that this is two things
- First, employees are compensated and the cash
should be accounted for - Second, invested capital is increased and the new
equity should be included in the capital base
15Cash Flow Statement
16Cash Flow Statement
- Modern Cash Flow Statement has separation between
- Operations
- Capital expenditures (to maintain and grow
operations) and - Financing
- Operating Cash Flow
- Add back items from the income statement that do
not use cash (depreciation, dry hole costs etc) - Analyze how much cash flow the company generated
and how it raised funds or disposed funds - Use Cash Flow statement as a basis to compute
free cash flow although cash flow not presented
on the statement - Problem Interest Expense related to financing
and not operations is in the Net Income and is
included in Cash From Operations
17Cash Flow Statement
- A. Operating Cash Flows
- 1) Net Income including interest expense,
interest income and taxes - 2) Depreciation
- 3) Deferred Taxes
- 4) Working Capital Changes
- 5) Minority Interest on Income Statement and
Other Items - B. Investing Cash Flows
- 1) Capital Expenditure and Asset Purchases
- 3) Sale of Property, Plant, Equipment
- 4) Inter-Corporate Investment
- C. Financing Cash Flows
- 1) Dividend Payments
- 3) Proceeds from Equity or Debt Issuance
- 4) Equity Repurchased
- 5) Debt Principal Payments
18Cash Flow Statement Example
19The Notion of Free Cash Flow
- In practice the term cash flow has many uses.
For example, operating cash flow is net income
plus depreciation. - Free cash flow is the cash flow that is available
to investors FREE of obligations such as
capital expenditures and taxes -- to both debt
and equity investors after re-investing in
plant, and financing and paying taxes. - Accountants define cash flow from operations as
net income plus depreciation and other non-cash
items less changes in working capital. However,
this cash flow is not available for distribution
to equity holders and debt holders. The free
cash flow must account for capital expenditures,
repayments of debt, deferred items and other
factors. - Free cash flow consists of
- Cash flow to equity holders
- Cash flow to debt holders
20Theoretical Context Miller and Modigliani
- Theory that changed finance in 1958
- Value assets on fundamental operating
characteristics such as the capacity utilisation,
the cost and the efficiency of assets and not the
manner in which assets are financed debt versus
equity or the manner in which assets are hedged. - This has led to the discounted cash flow model
that underlies most valuations - The proof was based on a simple arbitrage idea
that you could buy stock in a company that has no
debt and then borrow against the stock. This
will yield the same results as if the company
borrowed money instead of you. - The implication of this is that project finance
is irrelevant
21Fundamental Distinction in Financial Analysis
Free Cash Flow and Equity Cash Flow
- Free Cash flow that is independent from financing
- Valuation
- Performance in managing assets
- Claims on free cash flow
- Cash flow to pay debt obligations
- Comparisons unbiased by capital structure policy
- Equity cash flow
- Valuation of equity securities
- Performance for shareholders
22Importance of Free Cash Flow
- Alternative Definitions, but one correct concept
- Free Cash Flow Is Also Known As Unleveraged Cash
Flow - Unleveraged Cash Flow Is Not Distorted By The
Capital Structure - Free Cash Flow should not change when the capital
structure changes - Free Cash Flow should be the same as equity cash
flow if no debt is outstanding and not cash
balances are built up. - Free Cash Flow in Valuation
- PV of Free Cash Flow Defines Enterprise Value
- The Relevant Discount Rate Is The Unlevered
Discount Rate or the Weighted Average Cost of
Capital - IRR on Free Cash Flow is the Project IRR
- Free Cash Flow in Economic Value
- FCF Carrying Charge Economic Profit
23Cash Flow Statement in Financial Model
- Analysis in Cash Flow Statements
- Compute Cash Flow before Financing
- Operating Cash Flow minus Capital Expenditures
- Use Cash Flow Before Financing in Deriving Free
Cash Flow - Equity Cash Flow
- Dividends less Cash Investments
- Cash Flow Before Financing less Maturities plus
New Debt Issues - Last Line on Cash Flow Statement Includes
- Change in Cash Balance
- Change in Short-term Debt or Overdrafts
- Beginning Balance Change Ending Cash
- Beginning Balance of STD Change Ending
Short-term Debt
24Free Cash Flow Formulas
- Free cash flow can be computed from the income
statement or from the cash flow statement. - From the cash flow statement, the formula is
- Cash Before Financing
- Plus Interest Expense
- Less Tax Shield on Interest
- From the income statement, the formula is
- EBITDA
- Less Taxes on EBIT
- Less Working Capital Investment
- Less Capital Expenditures
- From Net Income
- Net Income
- Add Net of Tax Interest
- Add Depreciation, Deferred Taxes and Other
Non-Cash Changes - Less Changes in Working Capital
- Less Capital Expenditures
Some argue that free cash flow should not include
non-operating items. Here the non-consolidated
companies are treated in a similar manner as
liquid investments
25Free Cash Flow from NOPLAT
- Free cash flow can be computed using the notion
of net operating profit less adjusted tax as
follows (assuming no extraordinary income) - Step 1 Compute NOPLAT
- Net Income
- Plus Net Interest after Tax
- Plus Deferred tax
- Equals NOPLAT
- Step 2 Compute Free Cash Flow
- NOPLAT
- Plus Depreciation
- Less Change in Working Capital
- Less Capital Expenditures
- Equals Free Cash Flow
26Free Cash Flow Example
One could make adjustments for dividends payable,
interest payable and other items in the working
capital analysis.
In actual situations, must adjust the free cash
flow for deferred tax
27Balance Sheet
28Balance Sheet Adjustments
- When analysing the balance sheet, various items
should be adjusted and grouped together - Net Debt
- Total short and long term debt minus liquid
investments held and surplus cash - Cash Bucket
- For modelling, subtract short-term debt from
surplus cash and liquid investments - Surplus Cash
- Include temporary investments and also include
long-term investments - Current Assets and Current Liabilities
- Separate the surplus cash from current assets and
the debt from current liabilities and relate
remaining working capital items to revenue and
expense items
29Balance Sheet Issues
- Treat surplus cash as negative debt and debt as
negative cash - Rule of thumb cash is 2 of revenues
- Example when developing a basic cash flow
model, group the cash and the debt as one account
and then separate this account on the balance
sheet. - Unfunded pension expenses should be treated like
debt they involve a fixed obligation and they
can be replaced with debt when they are funded. - Deferred taxes depend on the way deferred taxes
are modelled for cash flow purposes. If you
model future changes in deferred taxes and take
account of these in projections, do not put
deferred taxes as a component of equity.
30Problems with Equity Balance
- Would like the return on equity and the return on
invested capital to measure equity invested by
shareholders for return on investment and return
on equity - Problems with using equity balance on the balance
sheet to measure equity investment - Write-offs of plant
- Accumulated Other Comprehensive Income
- Goodwill
- Re-structuring losses
- Employee Stock options
- Can make adjustments to equity balance
31Financial Ratio Analysis
32Tension between Equity Analysis and Asset Analysis
- Free Cash Flow
- Project IRR
- ROIC (ROCE)
- WACC
- Enterprise Value
- EV/EBITDA
- Market to Replacement Cost
- Equity Cash Flow
- Equity IRR
- ROE
- Cost of Equity
- Market Capitalisation
- P/E
- Market to Book Ratio
EV S Value of Business Units Debt Equity
Value In ratio analysis, cash negative debt
33IRR Mathematics and IRR Exercise
Why we raise to a power with two year case FV
PV (1r) (1r) FV PV (1r)2 FV/PV
(1r)2 (FV/PV)(1/2) (1r) (FV/PV)(1/2) 1
r
- IRR is simply rate of return
- Example Invest 100 and receive 120 in 1 year
- IRR 120/100 120 - 100 20
- If the cash flow is over two years
- IRR -100 , 60 , 60 ? 13.07
- Modified IRR with 5 Re-investment
- 60 receives 5 in year two ? 60 x (1.05) 63
- Plus final 60 123
- MIRR (123/100)(1/2) - 1 10.9
34Financial Ratio Analysis
- Purpose
- Evaluate relation between two or more
economically important items (one is the starting
point for further analysis) - Cautions
- Accounting analysis is important (deferred taxes
etc.) - Interpretation is key
- What does the P/E mean
- Is an interest coverage of 3.5 good
- Why is the ROIC low
- Should we use MB, PE or EV/EBITDA
- Document financial ratios (numerator and
denominator) with footnotes and comments - Show components of numerator and denominator in
rows above the ratio calculation
35General Discussion of Financial Ratios
- Financial Ratios Often Compares Income Statement
or Cash Flow with Balance Sheet - In developing ratios, understand why the formula
is developed (e.g. other income and other
investments in return on invested capital) - There is Not Necessarily One Single Correct
Formula - For example, pre-tax or after-tax return on
assets. - Keep the numerator consistent with the
denominator - Financial Ratios should be evaluated in the
context of benchmarks - Credit ratios and bond rating standards
- Returns and cost of capital
- Operating ratios and history
36Classes of Financial Ratios
- Management Performance
- Ratios that measure the historic economic
performance of management and evaluate whether
the economic performance can be maintained (e.g.
ROIC) - Valuation
- Ratios that are used to give an indication of the
value of the company (e.g. P/E) - Credit Analysis
- Ratios that gauge the credit quality and
liquidity of the company (e.g. Interest coverage
and current ratio) - Model Evaluation
- Ratios used to evaluate the assumptions and
mechanics of financial forecasts
37Ratios that Measure Management Performance
38Class 1 Financial Indicators of Management
Performance
- Evaluate Whether Management is Doing a Good Job
with Investor Funds (Not if the company is
appropriately valued) - Return on Invested Capital
- Return on Assets
- Return on Equity
- Market/Book Ratio
- Market Value/Replacement Cost
- Key Issue
- Evaluate relative to risk
- ROE versus Cost of Equity
- ROIC versus WACC
39ROIC, WACC and Growth
- ROIC is before interest and the return covers
both debt and equity financing EBIT is before
interest and investment includes both debt and
equity investment - WACC is the blended average of debt and equity
required returns - ROIC versus WACC measures the ability to make
true economic profit - Once have economic profit, should grow the
business as much as possible.
40Basic Economic Principles, ROIC and Financial
Analysis
- When you measure value, you are gauging the
ability of a firm to realize economic profit.
For example, when you compare the equity IRR with
the equity cost of capital. - When you assess assumptions in a financial
forecast, you must assess whether economic profit
implicit in the assumptions can in fact be
realized. For example, if the financial forecast
has a very high ROE, is that reasonable. - When you interpret financial statistics, you are
gauging the strategy of the company in terms of
whether economic profit is being realized. In
reviewing the return on invested capital, does
this demonstrate that the company has the
potential to earn economic profit.
41 Return on Invested Capital Analysis
- ROIC is not distorted by the leverage of the
company - ROIC can be used to gauge economic profit and
whether the company should grow operations - ROIC can be used to assess the reasonableness of
projections - For example, if ROIC is very high and the company
is in a competitive business with few barriers to
entry, the forecast is probably not realistic. - ROIC can be computed on a division basis EBIT and
allocation of capital to divisions from net
assets to gauge the profit of parts of the
company - ROIC comes from sustainable competitive advantage
and high market share
42Formula for Return on Invested Capital
- The return in invested capital formula can be for
a division or an entire corporation. It is after
tax and after depreciation. Cash balances should
be excluded from the denominator and interest
income from the numerator. Goodwill and goodwill
amortization should be excluded. - Formula
- ROIC EBITAT/Invested Capital
- Where
- EBITAT Earnings before Interest Taxes and
Goodwill Amortization less taxes on EBITAT - Taxes on EBITAT Cash Income Taxes Less Tax on
Interest Expense and Interest Income and Tax on
Non-operating Income - Invested Capital less cash balance
- Adjustments
- Other Assets
- Cash Balances
- Goodwill
- Other
43Issues in Management Performance Evaluation
- Basic Formula ROIC versus WACC
- How to compute ROIC
- NOPLAT/Average Invested Capital
- May or may not include goodwill If goodwill is
not included, compute NOPLAT without subtracting
goodwill write-off and subtract net goodwill from
invested capital - Reduce the invested capital by surplus cash
balances - Some dont include other income then the
invested capital should be reduced by other
investments - Can compute with ratios
- EBIT Margin x (1-t) Asset Turn
- Asset Turn Sales/Assets EBIT Margin
EBIT/Sales - ROCE vs ROIC
- ROCE is generally computed in an indirect way by
starting with net income, and adding net of tax
interest and adding minorities
44Exxon Mobil Return on Average Capital Employed
- Return on average capital employed (ROCE) is a
performance measure ratio. From the perspective
of the business segments, ROCE is annual business
segment earnings divided by average business
segment capital employed (average of beginning
and end-of-year amounts). - These segment earnings include ExxonMobils share
of segment earnings of equity companies,
consistent with our capital employed definition,
and exclude the cost of financing. - The corporations total ROCE is net income
excluding the after-tax cost of financing,
divided by total corporate average capital
employed. The corporation has consistently
applied its ROCE definition for many years and
views it as the best measure of historical
capital productivity in our capital intensive
long-term industry, both to evaluate managements
performance and to demonstrate to shareholders
that capital has been used wisely over the long
term. Additional measures, which tend to be more
cash flow based, are used for future investment
decisions.
45Exxon Mobil Return on Capital Employed Where
are they making expenditures
46Exxon Mobil Return on Capital
(1) All other financing costs net in 2003 includes interest income (after tax) associated with the settlement of a U.S. tax dispute.
47Example of ROIC Calculation - AES
48Illustration of Invested Capital Computation
49ROE and ROIC Note how to compute growth rates
from ROE and Retention
50Example of Return on Capital Employed (Return on
Invested Capital) in Financial Analysis
- The argument has been made that the best measure
to evaluate management performance that is not
distorted by leverage (as in the case of ROE) or
has the problems of ROA is the return on invested
capital. An example of use of this ratio is in
the Exxon Mobile Merger - J.P. Morgan reviewed and analyzed the return on
capital employed ("ROCE") of both Exxon and Mobil
since 1993. J.P. Morgan observed that Exxon's
ROCE has consistently been 2-3 above that of
Mobil. - J.P. Morgan's analysis indicated that if Mobil
were to be merged with Exxon, the combined
entity's capital productivity would eventually be
higher than the pro forma capital productivity of
Exxon and Mobil. - J.P. Morgan indicated that it would be reasonable
to assume that the benefits of this capital
productivity increase would occur within three
years of the closing of the merger.
51Relationship Between Various Ratios and DuPont
Analysis
Asset Utilization
Working Capital/ Sales Plus Long-term capital/
Sales EqualsCapital employed/ Sales 1 divided by
Capital Employed/ Sales Equals Asset Turnover
(Sales/ Capital Employed)
Gross Margin Gross profit/ Sales Less
Operating costs/ Sales Equals EBIT Margin (EBIT/
Sales)
Multiplied by
ROCE(EBIT/ Capital Employed )
Multiplied by (1 minus Tax Rate)
ROCE(EBIT after Tax/ Capital Employed )
52Class 2 Financial Indicators of Market Value
- Financial Ratios can be used to analyze whether
the valuation of a company is appropriate.
Analysts should understand the drivers of
different ratios. Valuation Ratios include - Universal Financial Ratios
- Price to Earnings Ratio
- Enterprise Value/EBITDA
- PEG (P/E to Earnings Growth) Ratio
- Market to Book Ratio
- Industry Specific Financial Ratios
- Value/Reserve
- Value/Customer
- Value/Plane Seat
53Valuation Ratios and Benchmarks
- Valuation ratios measure the stock market value
of a company relative to some accounting measure
such as EPS, EBITDA, Book Value/Share or growth
in EPS - The ratios can be used as benchmarks in valuing
non-traded companies by using industry average
valuation ratios. - Example to value non-traded company
- Value of company EPS of Company x Industry
Average P/E Ratio - Valuation ratios will be further discussed in the
portion of the course where corporate models are
used to value companies.
54P/E Ratio
- The P/E Ratio is the most prominent valuation
ratio. It is affected by estimated earnings
growth, the ability of a company to earn economic
profits and the growth in profitable operations. - Formula
- Share Price/Earnings per Share
- Issues
- Trailing Twelve Months and Forward Twelve Months
Generally use forward EPS - Formula (1-g/r)/(k-g)
- Problems
- Affected by earnings adjustments
- Causes too much focus on EPS
- Distortions created by financing
55Illustration of EV Ratios and Computation of
Market Value of Balance Sheet Components
56Investment Banker Analysis of Comparable Multiples
57Investment Banker Analysis of Multiples
58Use of PE in Valuation
- The long-run P/E ratio is often used in
valuation. This process involves - Project EPS
- Compute Stable EPS
- Compute P/E Ratio using formula
- P/E (1-g/r)/(k-g)
- g growth in EPS or Net Income
- r rate of return earned on equity
- k cost of equity capital
- Related Formula for terminal value with NOPLAT
(EBITAT) - (1-g/ROIC)/(WACC g)
- The formula demonstrates where value really comes
from
59Risk Assessment of Debt and Analysis of Credit
Spreads
60Liquidity and Solvency
Credit worthiness Ability to honor credit
obligations (downside risk)
- Liquidity
- Ability to meet short-term obligations
- Focus
- Current Financial conditions
- Current cash flows
- Liquidity of assets
- Solvency
- Ability to meet long-term obligations
- Focus
- Long-term financial conditions
- Long-term cash flows
- Extended profitability
61Solvency Ratios
- Ratios are the center of traditional credit
analysis that assesses whether a company can
re-pay loans. These ratios should be compared to
benchmarks. - Solvency
- Debt Payback Ratios
- Funds from Operations to Total Debt
- Debt to EBITDA
- Leverage Ratios
- Debt to Capital (Include Short-term Debt)
- Market Debt to Market Capital
- Payment Ratios
- Interest Coverage
- Debt Service Coverage Cash Flow/(Interest
Principal) - Capital Investment Coverage
- Operating Cash Flow/Capital Expenditures
62Liquidity
- Current Ratio
- Current Assets to Current Liabilities
- Current Assets less Inventory to Current
Liabilities - Model Working Capital
- Current Assets less Cash and Temporary Securities
minus Current liabilities less Short-term Debt - Liquidity Assessment
- Debt Profile (Maturities)
- Bank Lines (Availability, amount, maturity,
covenants, triggers) - Off Balance Sheet Obligations (Guarantees,
support, take-or-pay contracts, contingent
liabilities) - Alternative Sources of Liquidity (Asset sales,
dividend flexibility, capital spending
flexibility)
63Banks or Rating Agencies Value Debt with Risk
Classification Systems
Map of Internal Ratings to Public Rating Agencies
64SP Ratio Definitions
65SP Benchmarks
66Example of Using Ratios to Gauge Credit Rating
- The credit ratios are shown next to the achieved
ratios. Concentrate on Funds from operations
ratios.
Note that based on business profile scores
published by SP
67Credit Rating Standards and Business Risk
68Debt Capacity and Interest Cover
- Despite theory of probability of default and loss
given default, the basic technique to establish
bond ratings continues to be cover ratios,\.
69Default Rates and Credit Spreads
70Credit Spreads
Increase of 5
Credit Crisis
71Moodys Forecast of Default Rates
Defaults versus Long-term Average
Moody's Speculative Grade Trailing 12-Month
Default Rates
Actual Jan. 2000 to Aug. 2002 / Forecasted Sept.
2002 to Feb. 2003
12.0
10.7
11.0
10.5
10.5
10.5
10.3
10.3
10.3
10.1
10.0
10.0
10.0
10.0
9.8
9.8
9.3
9.6
10.0
9.0
8.8
8.8
9.0
8.5
7.9
7.7
7.7
8.0
7.1
6.7
7.0
6.2
6.0
5.0
4.0
3.77
3.0
2.0
1.0
0.0
Jul-01
Jul-02
Jan-01
Feb-01
Mar-01
Apr-01
May-01
Jun-01
Oct-01
Jan-02
Feb-02
Mar-02
Apr-02
May-02
Jun-02
Oct-02
Jan-03
Feb-03
Aug-01
Sep-01
Nov-01
Dec-01
Aug-02
Sep-02
Nov-02
Dec-02
Months
Note Long run annual default rate is 3.77
72Updated Transition Matrix
73Probability of Default
- This chart shows rating migrations and the
probability of default for alternative loans.
Note the increase in default probability with
longer loans.
74Bond Ratings and Historic Credit Spreads
75Credit Spreads for Utility Debt
76DSCR Criteria in Different Industries in Project
Finance
- Electric Power 1.3-1.4
- Resources 1.5-2.0
- Telecoms 1.5-2.0
- Infrastructure 1.2-1.6
- Minimum ratio could dip to 1.5
- At a minimum, investment-grade merchant projects
probably will have to exceed a 2.0x annual DSCR
through debt maturity, but also show steadily
increasing ratios. Even with 2.0x coverage
levels, Standard Poor's will need to be
satisfied that the scenarios behind such
forecasts are defensible. Hence, Standard
Poor's may rely on more conservative scenarios
when determining its rating levels. - For more traditional contract revenue driven
projects, minimum base case coverage levels
should exceed 1.3x to 1.5x levels for
investment-grade.
77Credit Spread on Debt Facilities
- The spread on a loan is directly related to the
probability of default and the loss, given
default.
S
The Credit Triangle
S P (1-R)
P
R
- The credit spread (s) can be characterized as
the default probability (P) times the loss in
the event of a default (R).
78Expected Loss Can Be Broken Down Into Three
Components
Borrower Risk
Facility Risk Related
EXPECTED LOSS
Probability of Default (PD)
Loss Severity Given Default (Severity)
Loan Equivalent Exposure (Exposure)
x
x
What is the probability of the counterparty
defaulting?
If default occurs, how much of this do we expect
to lose?
If default occurs, how much exposure do we expect
to have?
The focus of grading tools is on modeling PD
79Comparison of PD x LGD with Precise FormulaCase
1 No LGD and One Year
80Comparison of PD x LGD with Precise FormulaCase
2 LGD and Multiple Years
81Default Rates by Industry
82Recovery Rates
83Mathematical Credit Analysis
84General Payoff Graphs from Holding Investments
with Future Uncertain Returns
85Payoff Graphs from Call Option Payoffs when
Conditions Improve
86Payoff Graphs from Buying Put Option Returns
are realized to buyer when the value declines
87Payoff Graphs from Selling Put Option Value
Changes with Value Decreases
88The Black-Scholes/Merton Approach
- Consider a firm with equity and one debt issue.
- The debt issue matures at date T and has
principal F. - It is a zero coupon bond for simplicity.
- Value of the firm is V(t).
- Value of equity is E(t).
- Current value of debt is D(t).
89Payoff to claimholders
At maturity date T, the debt-holders receive face
value of bond F as long as the value of the firm
V(T) exceeds F and V(T) otherwise. They get F -
MaxF - V(T), 0 The payoff of riskless debt
minus the payoff of a put on V(T) with exercise
price F. Equity holders get MaxV(T) - F, 0,
the payoff of a call on the firm.
Value of the company and changes in value to
equity and debt investors
Nominal Debt Repayment
Equity
F
Debt
V(T)
Value of Firm in Time T
90Payoff to debt holders
Credit spread is the payoff from selling a put
option
A1
A2
Assets
B
The payoffs to the bond holders are limited to
the amount lent B at best.
91Mertons Model
- Mertons model regards the equity as an option on
the assets of the firm - In a simple situation the equity value is
- max(VT -D, 0)
- where VT is the value of the firm and D is the
debt repayment required - Assumptions
- Markets are frictionless, there is no difference
between borrowing and lending rates - Market value of the assets of a company follow
Brownian Motion Process with constant volatility - No cash flow payouts during the life of the debt
contract no debt re-payments and no dividend
payments - APR is not violated
92Mertons Structural Model (1974)
- Assumes a simple capital structure with all debt
represented by one zero coupon bond problem in
project finance because of amortization of bonds. - We will derive the loss rates endogenously,
together with the default probability - Risky asset V, equity S, one zero bond B maturing
at T and face value (incl. Accrued interest) F - Default risk on the loan to the firm is
tantamount to the firms assets VT falling below
the obligations to the debt holders F - Credit risk exists as long as probability (VltF)gt0
- This naturally implies that at t0, B0ltFe-rT
yTgtrf, where pTyT-rf is the default spread which
compensates the bond holder for taking the
default risk
93Merton Model Propositions
- Face value of zero coupon debt is strike price
- Can use the Black-Scholes model with equity as a
call or debt as a put option to directly measure
the value of risky debt - Can use to compute the required yield on a risky
bond - PV of Debt Face x (1y)t
- or
- (1y)t PV/Face
- (1y) (PV/Face)(1/t)
- y (PV/Face)(1/t) 1
- With continual compounding - Ln(PV/Face)/t
- Computation of the yield allows computation of
the required credit spread and computation of
debt value - Borrower always holds a valuable default or
repayment option. If things go well repayment
takes place, borrower pays interest and principal
keeps the remaining upside, If things go bad,
limited liability allows the borrower to default
and walk away losing his/her equity.
94Default Occurs at Maturity of Debt if V(T)ltF
Asset Value
VT
V0
F
Probability of default
Time
T
95Resources and Contacts
- My contacts
- Ed Bodmer
- Phone 001-630-886-2754
- E-mail edbodmer_at_aol.com
- Other Sources
- Financial Library project finance case studies
including Eurotunnel and Dabhol - Financial Library Monte Carlo simulation
analysis