Title: Corporate Financial Management 1
1Corporate Financial Management 1
- Jan Vlachý ltvlachy_at_atlas.czgt
- Brigham, E.F., Ehrhardt, M.C. Financial
Management Theory and Practice, 13th Edition
2Basic Concepts
Chapters 1-3
- Corporate Financial Management
- Is the Art/Science of Creating and Maintaining
the Value of a Company. - Gives a Firm its Common Language.
- It Consists of
- Investment Decisions
- Financing Decisions
- Managerial Decisions
3Investment Vehicle Model
The Set of Contracts Model recognises
imperfections and includes the assumption of both
explicit and implicit contracts, incl. Corporate
Organization.
4The Financial Environment
- Competitive Economic Environment
- Two-Sided Transactions (BuyerSeller Equil.)
- Risk-Return Tradeoff
- Signalling/ Behavioral Principle
- lt Market Efficiency (Information, Transactions)
- Value (How can some people become rich?)
- New Ideas, Expertise
- Options
- Time Value of Money
Financial transactions create an equilibrium
Real investments create value
5Accounting, Cash Flows Taxes
- Purposes of an Accounting System
- Reporting the Firms Financial Activities to
Stakeholders - Providing Information to Firms Decision Makers
- Financial Management strives to use and interpret
the information - Accounting - historical view
- Finance - current and future
6Limitations of Accounting
- Why dont shares trade at Book Val.?
- MarketBook Value of Assets/Liabs
- Historical Accounting (depreciation)
- Inflation (value benchmarks have changed)
- Liquidity (can it readily be sold?)
- Time Value of Money (relates to Maturity and
Terms) - Note Finance prefers to deal with cash flows in
a time perspective.
7Taxes
- Income Tax
- Make analyses on after-tax basis
- For financial decisions, use marginal tax rate
(relavant if tax is progressive or unsymmetrical
on negative base) - Capital Gains Tax
- Dividend/Interest Income Treatment
- System Biases (Loss Carry-forwards, Exemptions,
Deductions)
8Time Value of Money
Chapter 4
- Any Present Value has a greater Future Value.
- ... i.e.
- People generally prefer having any amount of
money at their disposal earlier rather than
later. - ... i.e.
- Investors require positive returns as
compensation for the inconvenience.
9On Present and Future Values
- You deposit 1,000 today with a bank that pays 5
interest per year. - FV1 PVrPV PV(1r) 1,0001,05 1,050
(Simple Interest) - FV2 FV1(1r) PV(1r)(1r) PV(1r)2 1,102.50
(Compound Interest)
Discounted Cash Flow Framework
FVt PV(1r)t PV FVt / (1r)t
10Return, Net Present Value
- Return of an Investment (Rate of Return, Yield)
- NPV Present Value of expected cash flows
(positive-negative)
11Practical Issues
- Distinguish
- Realized Return
- Expected Return (lt Risk)
- Required Return (lt Unperfect Mkts)
- Financial securities are usually priced fairly
(Market Equilibrium). - Investment projects (and other entrepreneurial
decisions) should bring value, i.e. have positive
NPV.
12Valuing Single Cash Flows (Ex.)
- What is the Future Value of 2,000 invested at 3
per year for five years? - What is the Present Value of CZK 10m to be
received two years from now if the required
return is 4 per year? - What is the Expected Return for an investment
costing 10,000 today and offering 12,000 in
three years?
13Valuing Multiple Cash Flows
- You can invest 10,000. As a result, you expect
to get 2,000, 8,000, and 5,000 over the next
three years, respectively. If the required return
is 10, what is the NPV of your investment?
- What is the return if you know the NPV?
14Annuities
- Types of Annuity
- Ordinary Annuity (Payments at end of period)
- Annuity Due (Payments at beginning of period)
- Deferred Annuity (First repayment more than one
period after drawing)
FVAn PVAn(1r)n PVAndue PVAn(1r) PVAndef
d PVAn/(1r)d
15Amortization Schedules
- A 1,000 loan yielding 8 requires equal payments
at the end of the next three yrs. How much
principal will be rpd. in Year 2? - PMT 1,000.08(1.08)3/(1.083-1) 388.03
P2 V1 - V2 PMT2 - I2 332.67
16Perpetuities
Problem 4-27
- PV 100 / 7 1,428.57
- Growth Perpetuities
- PMTt PMT0(1g)t
- PVgrowth PMT1/(r-g) (... r gt g)
17Compounding Frequency (1)
- Compare annual return on deposit with 6 interest
paid annually and monthly. - FVA PV(1 6) PV1.06
- rA (FVA-PV) / PV .06PV/PV 6
- FVM PV(1 6/12)12 PV1.00512 PV1.0617
- rM (FVM-PV) / PV 6.17
18Compounding Frequency (2)
- Compare the cost of a 6 (nominal rate) loan with
monthly and quarterly interest. - Nominal RateEffective Annual Rate
- NR mrm
- EAR (1 rm)m - 1
- EAR M 1.00512 - 1 6.17
- EAR Q 1.0154 - 1 6.14
19Bond and Stock Valuation
Chapters 5,7
- Main sources of capital for Company
- Bond Debt Capital
- Stock Equity Capital
- Claim on fut. cash flows for Investor
- Bond Contractual interest and princi-pal
payments (or proceeds of sale) - Stock Dividends (theoretically forever) or
proceeds of sale
20Valuation Procedure
- Based on discounted cash flow concept
- Estimate expected future cash flows
- Determine required return (depending on the
riskiness of the expected cash flows) - Compute the present value
- Other possibilities Market price of same or
comparable asset
21Features of Bonds/ Stocks
- Par (Face, Princ.) Value
- Coupon (Interest) Rate
- Coupon Payment Frequency
- Maturity Original (Issue), Remaining (Residual)
- Terms of Repayment Bullet, Sinking Fund,
Zero-Coupon (Pure Discount) - Call Provision (Option) other Rights
Junior/Senior
- ???
- Dividends
- Dividend Payment Frequency
- N/A
- N/A
- Common/Preferred
- Rights (Warrants, Convertibles)... See Chapt. 19,
Hybrid Financing
22Bond Valuation
Problem 5-1
t 1 2 3 4 ... 8 9 10 11 12
Ct 80 80 80 80 ...
80 80 80 80 1,080 r 9
PV 73.39 67.33 61.77
56.67 ... 40.15 36.83 33.79
31.00 383.98 928.39
For bond w/semi-annual coupons n24, Ct40. To
put required return on same basis as annual bond,
one should assume EAR 9 (1rS)2 - 1, i.e. rS
\/1.09 - 1 4.4.
23Yield to Maturity/ Yield to Call (1)
- Assume Johnson Co. has a bond with a face value
of 1,000 that matures in 12 years, has a coupon
rate of 8, and is currently selling for 928.39.
What is the required return to buy the bond (YTM
9.00)? - Assume it can be called in 10 years at a call
price of 1,100. What would be the required
return to buy the bond if we knew the option
would be excercised (YTC 9.79)?
24Yield to Maturity/ Yield to Call (2)
- Yield to Maturity Promised Return
- Yield to Call Return if Called
- N12 PV-928.39 PMT80 FV1,000 gt I (YTM)
9.00 - N10 FV1,100 gt I (YTC) 9.79
- Expected Return YTM minus Risk
- Credit (Default) Risk lt Rating
- Interest Rate Risk/ Reinvestment Risk
- FX Risk, Liquidity Risk...
25Market Interest Rates/Yield Curve
26Stock Valuation
Problem
- Value a share which is expected to pay dividends
of 2.72 and 3.10, respectively, over the next
two years, and sold thereafter for 48, if the
required return is 10? - V2.72/(1.1)3.10/(1.1)248/(1.1)2 44.70
- But... How did I estimate the market price in 2
years? - Let us assume constant dividends of 4.80 after
Year 2. - Using perpetuity valuation V24.80/10 48
27Constant Growth Model
- Dt D0(1g)t
- V D1/(r-g) (... r gt g)
- e.g. V 36(1.05)/(13-5) 31.5
- e.g. r 1.30/21.25 6 12.12
- CG formula can also be used for determining a
horizon (terminal) value or for valuing declining
growth stock. - For erratic or supernormal growth stock, split
cash flows into two parts.
28Risk and Return
Chapters 6, 7
- Risk refers to the chance that some unexpected
event would occur. - In business, that would mean the decrease of
value of the firm, in financial markets any
change in the value of financial instruments etc. - In other words, actual returns will differ from
expected returns. - The expected return should therefore compensate
an investor for the perceived risk.
29Investments with Risk
Problem
30Expected Return
- E(r) Swiri
- E(rEQ1) .10(-25) .20(-5) .40(15)
.20(25) .10(50) 12.5
- Eq 1 has the highest expected return.
- Is it the best investment?
31Stand-Alone Risk
- s \/S(wi(ri-E(r))2
- sEQ1 \/.10(-25-12.5)2 .20(-5-12.5)2
.40(15-12.5)2 .20(25-12.5)2 .10(50-12.5)2
19.4
Volatility
32Probability Distributions
33Portfolio Risk (1)
- Assume portfolio with 50 invested in Eq 1, and
50 in Gold.
34Portfolio Risk (2)
- ?p (6.1) is much lower than
- either Eq 1 (19.4) or Gold (7.5).
- average of Eq 1 and Gold (13.5).
- The portfolio offers a decent return (average of
Eq 1 and Gold returns) with low risk. - The key is low (actually negative) correlation
between Eq 1 and Gold returns, facilitating
diversification.
35Managing Portfolio Risk
- Systematic and Specific Risk Law of Large
Numbers (Insurance, Consumer Credit) - Equilibrium Theories, e.g. Capital Asset Pricing
Model Sharpe, Lintner (Equity Markets, Capital
Investments) - Portfolio Theory Markowitz (Market Portfolios),
based on function sPƒ(w1,w2,w3,..,s1,s2,s3,..,?12
, ?13, ?23,..)
36Effect of Diversification
37Capital Asset Pricing Model
- In an efficient market, the required return will
equal the expected return. - efficient market gt equilibrium price
- transactional, informational efficiency
- efficient market ? arbitrage
- An assets required return is the sum of the
riskless return and an asset-specific risk
premium. - Beta (ß) is a measure of the assets market
(systematic, undiversifiable) risk. - SML ri rF ß(rM - rF)
38Beta as a Sensitivity Measure
ri rF ß (rM - rF)
39CAPM Utilization
Problem
- Two shares (in the same market) with known rF,
ßA, ßB, rA, looking for rB. - rA rF ßA (rM - rF)
- rB rF ßB (rM - rF)
- 14 6 1.4(rM-6) gt rM 11.7
- rB 6 1.1(11.7-6) 12.3
- Note The beta of a portfolio equals the weighted
average of its component betas (VP bP VA bA
VB bB ...)
40Options
Chapter 8
- Option Right (Financial and Embedded Options,
i.e. Contracts) or Opportunity (Real Options) - Financial options are traded contracts,
derivatives of Underlying Assets (Equities, FX,
Bonds, Commodities, Indices...) - Financial Derivatives include Options, Warrants,
Forwards, Futures, Swaps, Repos... - Financial Derivatives are used primarily for Risk
Management (Hedging, Speculation) ... See Chapt.
23
41Applications
- Financial Options
- American vs. European Options
- Call vs. Put Options
- Exotic Options (various terms of exercise, caps,
floors exchange options, compound options,...) - Embedded Options... Constitute Contracts
- Real Options... In Business Decisions ... See
Chapts. 11,25
42The Value of Options
- Intrinsic Value (would the option be executed if
nothing changed till excercise date?) ƒ(p r
t) ...usually easy to assess can be used for
designing option strategies - Time Value ƒ(t s) ...calculated by means of
models (using market equilibrium assumption and
replication)
43Using the Replication Principle
- Call Option S 40, p 32, d 16 or u 64
at time t rt 2. - d Option out of the money, i.e. Vd 0
- u Uption in the money, i.e. Vu 64 - 40 24
- Income structure can be replicated with N forward
transactions. These must have zero value if
underlying asset costs 16, and must therefored
be issued with forward price F 16. Their
present value is VF p - F/(1rt) 16.31. - Value of N forward transactions at settlement if
underlying asset costs u is Vu N(u - F). To
replicate u 64 ? Vu 24, N 24/(64-16) 0.5. - The option value is thus VC 0.516.31 8,16.
44Numerical Model (Binomial, CRR)
- Call Option S 1 100 p 1 000 r 5 4
periods
45Analytical Model (Black-Scholes)
- VC p N(d1) - S e-rt N(d2)
- d1 ln(p/S) (s2/2) t / (s ?t)
- d2 d1 - s ?t
- p 500 S 510 r 3 t 3months (0,25) s
20 - d1 ln(500/510)(0,04/2)0,25/(0,20,5)
-0,0730 - d2 -0,0730 - 0,20,5 -0,1730
- N(d1) N(-0,0730) 0,4709 N(d2) N(-0,1730)
0,4313 (cummulative distribution function for a
standardised normal random variable) - VC 5000,4709 - 510e-200,250,4313 17,12
- VP VC - p Se-rt 17,12-500510e-30,25
23,31 (using put-call parity)
46Cost of Capital
Chapter 9
- Cost of Capital Required Return for Capital
Budgeting Project - 2 possible approaches
- Use CAPM
- Firm Value Equity Value Debt Value.
- In a perfect market, a company cannot affect its
value by changing the way it is financed - it
just influences the distribution of risks and
returns between different classes of investors.
47Risk/Return of Real Assets
- CAPM can be extended to include real assets (i.e.
capital budgeting projects) - Pure Play Method (Finding single-product
companies in the same line of business as project
being evaluated) - Accounting Beta Method (Regression of return of
assets against average return on assets in the
whole market)
48Weighted Average Cost of Capital
- WACC (1-L)re L(1-T)rd
- L D/(DE) ... Leverage
- T ... Marginal Income tax Rate
- Always based on opportunity, not historical costs
and values! - After-tax cost must be used for all components!
- Correct risk assumptions have to be made for
individual projects!
49WACC
Problems 9-4, 9-7
- r 3.6 / 70 5.14
- c 3.6 / (70(1-5)) 5.41
- WACC 306(1-40) 55.8 6512 9.17
50Component Cost of Equity
- Ways to estimate required return
- DCF Method
- CAPM Approach (b of equity, not project!)
- Bond Yield Risk Premium Method
- Equity for new projects may come from retained
earnings or new issue. - New issues incur flotation costs. In this case,
the component cost of capital is higher than
required return.
51Application of DCF Method
- QST stock is trading at 30 a share. QST will pay
a 3 dividend at the end of the year and expects
5 annual growth. Costs of flotation amount to
10. What is the required return and cost for new
equity? - r D1/V g 3/30 5 15
- Vnet V(1-F) 30(1-10) 3090 27
- re D1/V(1-F) g 3/30(1-10) 5
16.1
52Risk, Leverage, Beta and WACC
- Operating Leverage influences rA, i.e. both rE
and rD ltgt an increase in operating risk
increases bA and WACC. - Financial Leverage in efficient markets, an
increase should increase bd, but leave bA and
WACC unchanged. - (1-TL)bA L(1-T)bD (1-L)bE ( portfolio)
- Assuming low risk of debt, it is possible to
approximate bA bE (1-L)/(1-TL) - ... on Leverage more in Chapt. 15
53Distinguish Risks
- Operating (Business) Risk (depends on structure
of firms assets, not structure of financing) lt
Operating Leverage - Financial Risk (based on firms capital
structure) lt Fin. Leverage
54Basics of Capital Budgeting
Chapter 10
- Generate ideas
- Estimate the expected future cash flows from the
project. - Assess the risk and determine a required return
(cost of capital, hurdle rate, discount rate). - Compute present value of cash flows if project
has a positive NPV, it creates value gt should be
accepted. - Alt. Find market price or compare with similar
asset
55Types of Projects
- Capital budgeting projects include
- New products and new businesses
- Maintenance projects
- Cost saving/ revenue enhancement
- Capacity expansion
- Projects required by regulation/ policy
- Independent/Exclusive Projects
- Conventional/Nonnormal Cash Flows
56Alternative Budgeting Measures
- Net Present Value
- Internal Rate of Return (Expected Rtrn)
- Profitability Index
- Modified IRR (includes cost of capital)
- Payback ... ignores time value of money and cash
flows beyond payback - Discounted Payback
57Investment Criteria
Problem
- PB 2 (10,000/30,000) 2.3 years
- DPB 2 (17,934/22,539) 2.8 years
- NPV SDCF 18.266
- PI SDCF1-4 / CF0 1.26
- IRR 22.24
- MIRR (129,230/70,000)1/4 - 1 16.56
58Issues
- IRR brings same results as NPV with independent
and conventional projects only - Unequal lives of exclusive projects, e.g.
replacement projects ... use common horizon
calculation or Equivalent Annual Annuities (EAA
NPVr(1r)n/(1r)n-1) - It is realistic to assume some kind of capital
budget constraint ... use artificially high
discount rate or capital rationing (e.g. ranking
by Profitability Index)
59Estimating Cash Flows
Chapter 11
- Cash flow ? income (includes e.g. depreciation,
ignores time value) - Measure on incremental (marginal) basis
- Only future expenditures/revenues are relevant
(avoid sunk costs) - Include taxes not financing costs (they are
reflected in cost of capital)
60Types of Budgeting Cash Flows
- Net Initial Investment Outlay
- new assets purchase, old assets sale, increase in
net working capital - Net Operating Cash Flow
- Nonoperating Cash Flows
- overhauls, changes in working capital
- Net Salvage (Termination) Value
- Tax Adjustment (CapitalizingExpensing)
61Est. Cash Flows
Problems 11-1,2,3
62Budgeting Cash Flows
Problem 11-9
NPV - 7,160 2,000/1.15 2,384/1.152
1,968/1.13 1,744/1.154 1,712/1.155
3,232/1.156 921.36 Note Different remaining
lives, working capital investment
63Analyzing Risk
- Market Risk
- Measured by b (see CAPM) impacts discount rate
- Stand-Alone Risk
- Break-even Analysis
- Sensitivity Analysis
- Scenario Analysis
- Monte Carlo Simulation
64Simple Example
- Project costs 100,000, expected sales 1,000
units, price 80/unit, cash op. exp. 40/unit,
5-year life, fully amortized, terminal value
10,000. Cap. cost 12, tax rate 25. What is its
NPV? - V -I N(P-U)(1-T)DT((1r)n-1) /r(1r)n
F(1-T)/(1r)5 -100,000
30,0005,0003.60 7,500/1.76 30,423
65Break-even Analysis (Sales)
- V -I N(P-U)(1-T)DT3.60
F(1-T)/(1r)5 - What N would result in V 0?
- -I N(P-U)(1-T)DT3.60 F(1-T)/(1r)5
0 - N (100,000-7,500/1,76)/3.60-5,000/30 720
pcs. - i.e. the project breaks even at 720 units sold.
- Usually easier to use numerical iteration.
66Sensitivity Analysis (Price)
- V -I N(P-U)(1-T)DT3.60
F(1-T)/(1r)5 - ?V/?P N(1-T)3.60 7503.60 2,700
-
- i.e. a price cut of 1 will result in a project
value decrease by 2,700. - Almost always easier to use numerical simulation.
67Scenario Analysis (Sales, U.Cost)
68Real Options
- Flexibility to adjust plans based on newly
acquired information may increase NPV. - Growth/development options
- Contraction/abandonment options
- Investment timing options
- Exchange options
- Valuation methods
- Closed-form (analogy w/B-S)... rare
- Decision trees
- Monte Carlo
- ... further reading in Chapt. 25
69Financial Planning
Chapter 12
- Pro-Forma Financial Statements
- Forecast the amount of external financing that
will be required - Evaluate the impact that changes in the operating
plan have on the value of the firm - Set appropriate targets for compensation plans
70Steps in Financial Forecasting
- Forecast sales
- Project the assets needed to support sales
- Project internally generated funds
- Project outside funds needed
- Decide how to raise funds
- See effects of plan on ratios and stock price
71Additional Funds Needed
Problem
Sales 12,000 M NI/Sales 6 P D/NI
25.
72Key Assumptions
- Operating at full capacity last year.
- Each type of asset grows proportionally with
sales. - Payables and accruals (i.e. current liabilities)
grow proportionally with sales. - Existing profit margin (6) and payout (25) will
be maintained. - Sales are expected to increase by 3 million.
(?S 25)
73Graphical Illustration
A/S 7,560/12,000 0.63 9,450/15,000 (i.e.
Capital Intensity Ratio remains unchanged)
74Calculating AFN
- AFN Required Increase in Assets - Spontaneous
Increase in Liabilities - Increase in Retained
Earnings - AFN A(?S/S0)- L(?S/S0)- MS1(1-P)
7,56025 - 1,80025 - 615,00075
1,890-450-675 765,000
75Projected Balance Sheet
DR03,600/7,56048 DR14,815/9,45051 CR04,560
/2,6001.75 CR15,700/3,8151.49
76Corp. Valuation Governance
Chapter 13
- Corporate Valuation Model (Dividend Growth
Model) - Based on Free Cash Flow Estimation (instead of
dividends) - Can be used when dividends are not paid (e.g.
startups, subunits of firm) - Estimate the Value of Operations (discount FCF
NOPAT Required Net Operating Working Capital) - Add Value of Nonoperating Assets and Growth
Options
77Value Based Management
- Value-based Management involves the systematic
use of the corporate valuation model to evaluate
a companys decisions. - Value drivers
- Growth rate of sales
- Operating profitability (NOPAT/Sales)
- Capital requirements (Operating Capital/Sales)
- WACC
- Company creates value when EROIC (i.e.
NOPAT/Capital) gt WACC
78Corporate Governance
- Shareholder wealth may be adversely influenced by
management behavior (agency problem) - Corporate governance is a set of laws, rules and
procedures influencing managers in a way that
maximizes the firms intrinsic value. - Monitoring
- Litigation
- Threat of removal
- Compensation plans
- Hostile takeovers (avoid managerial entrenchment)