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Corporate Financial Management 1

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Title: Corporate Financial Management 1


1
Corporate Financial Management 1
  • Jan Vlachý ltvlachy_at_atlas.czgt
  • Brigham, E.F., Ehrhardt, M.C. Financial
    Management Theory and Practice, 13th Edition

2
Basic 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

3
Investment Vehicle Model
The Set of Contracts Model recognises
imperfections and includes the assumption of both
explicit and implicit contracts, incl. Corporate
Organization.
4
The 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
5
Accounting, 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

6
Limitations 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.

7
Taxes
  • 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)

8
Time 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.

9
On 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
10
Return, Net Present Value
  • Return of an Investment (Rate of Return, Yield)
  • NPV Present Value of expected cash flows
    (positive-negative)

11
Practical 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.

12
Valuing 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?

13
Valuing 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?

14
Annuities
  • 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
15
Amortization 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
16
Perpetuities
Problem 4-27
  • PV 100 / 7 1,428.57
  • Growth Perpetuities
  • PMTt PMT0(1g)t
  • PVgrowth PMT1/(r-g) (... r gt g)

17
Compounding 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

18
Compounding 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

19
Bond 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

20
Valuation 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

21
Features 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

22
Bond 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.
23
Yield 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)?

24
Yield 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...

25
Market Interest Rates/Yield Curve
26
Stock 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

27
Constant 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.

28
Risk 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.

29
Investments with Risk
Problem
30
Expected 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?

31
Stand-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
32
Probability Distributions
33
Portfolio Risk (1)
  • Assume portfolio with 50 invested in Eq 1, and
    50 in Gold.
  • E(rP) 7.25
  • sP 6.1

34
Portfolio 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.

35
Managing 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,..)

36
Effect of Diversification
37
Capital 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)

38
Beta as a Sensitivity Measure
ri rF ß (rM - rF)
39
CAPM 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 ...)

40
Options
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

41
Applications
  • 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

42
The 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)

43
Using 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.

44
Numerical Model (Binomial, CRR)
  • Call Option S 1 100 p 1 000 r 5 4
    periods

45
Analytical 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)

46
Cost 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.

47
Risk/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)

48
Weighted 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!

49
WACC
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

50
Component 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.

51
Application 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

52
Risk, 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

53
Distinguish 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

54
Basics 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

55
Types 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

56
Alternative 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

57
Investment 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

58
Issues
  • 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)

59
Estimating 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)

60
Types 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)

61
Est. Cash Flows
Problems 11-1,2,3
62
Budgeting 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
63
Analyzing Risk
  • Market Risk
  • Measured by b (see CAPM) impacts discount rate
  • Stand-Alone Risk
  • Break-even Analysis
  • Sensitivity Analysis
  • Scenario Analysis
  • Monte Carlo Simulation

64
Simple 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

65
Break-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.

66
Sensitivity 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.

67
Scenario Analysis (Sales, U.Cost)
68
Real 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

69
Financial 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

70
Steps 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

71
Additional Funds Needed
Problem
Sales 12,000 M NI/Sales 6 P D/NI
25.
72
Key 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)

73
Graphical Illustration
A/S 7,560/12,000 0.63 9,450/15,000 (i.e.
Capital Intensity Ratio remains unchanged)
74
Calculating 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

75
Projected Balance Sheet
DR03,600/7,56048 DR14,815/9,45051 CR04,560
/2,6001.75 CR15,700/3,8151.49
76
Corp. 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

77
Value 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

78
Corporate 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)
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