IESEG Financial Management

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    IESEG – FINANCIAL MANAGEMENT – S2-2014/2015

    FINANCIAL MANAGEMENT

    Valuing Projects and Firms

    Final Exam (03/04/15)

    Preparation – Key elements

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    IESEG – FINANCIAL MANAGEMENT – S2-2014/2015

    COURSE PRESENTATION - AIMS

    • To get an overview on investment decisions in

    a company

    • To understand the company’s investment

    decision (NPV, IRR, Payback Investment Rules)

    • To understand the fundamentals of capital

    budgeting

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    IESEG – FINANCIAL MANAGEMENT – S2-2014/2015

    COURSE PRESENTATION - AIMS

    • To understand the fundamentals of stock

    valuation

    • To link financial management decisions with

    the company’s global strategy

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    Chapter 3

    Financial Decision

    Making and the Lawof One Price

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    IESEG – FINANCIAL MANAGEMENT – S2-2014/2015

    Using Market Prices to Determine Cash

    Values – General Principle

    “Whenever a good trades in a competitive

    market – by which we mean a market in which it

    can be bought and sold at the same price – that

    price determines the cash value of the good. As

    long as a competitive market exists, the value of

    the good will not depend on the views orpreferences of the decision maker” 

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    IESEG – FINANCIAL MANAGEMENT – S2-2014/2015

    The Interest Rate: An Exchange Rate

    Across Time

    Present Versus Future Value

    When we express the value in terms of dollars

    today, we call it the present value (PV) of theinvestment.

    If we express it in terms of dollars in the future,

    we call it the future value of the investment.

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    Present Value

    and the NPV Decision Rule

    The net present value (NPV) of a project or

    investment is the difference between the

    present value of its benefits and the present

    value of its costs.

    Net Present Value

    (Benefits) (Costs)  NPV PV PV 

    (All project cash flows) NPV PV 

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    The NPV Decision Rule

    When making an investment decision, take the

    alternative with the highest NPV.

    Choosing this alternative is equivalent to

    receiving its NPV in cash today.

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    The NPV Decision Rule

    Accepting or Rejecting a Project

    • Accept those projects with positive NPV

    because accepting them is equivalent toreceiving their NPV in cash today.

    • Reject those projects with negative NPV

    because accepting them would reduce thewealth of investors.

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    Choosing Among Alternatives

    We can also use the NPV decision rule to choose

    among projects. To do so, we must compute the

    NPV of each alternative, and then select the one

    with the highest NPV. This alternative is the onewhich will lead to the largest increase in the

    value of the firm.

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    IESEG – FINANCIAL MANAGEMENT – S2-2014/2015

    NPV and Cash Needs

    Regardless of our preferences for cash today

    versus cash in the future, we should always

    maximize NPV first. We can then borrow or lend

    to shift cash flows through time and find our

    most preferred pattern of cash flows.

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    IESEG – FINANCIAL MANAGEMENT – S2-2014/2015

    Arbitrage and the Law of

    One Price

    Law of One Price

    If equivalent investment opportunities trade

    simultaneously in different competitive markets,

    then they must trade for the same price in both

    markets.=> Any competitive price can be used to determine a cashvalue, without checking the price in all possible markets

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    The NPV of Trading Securities and Firm Decision Making

    Separation Principle

    We can evaluate the NPV of an investment decision

    separately from the decision the firm makes

    regarding how to finance the investment or any

    other security transactions the firm is considering.

    => We can separate the firm’s investment decision

    from its financing choice

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    Chapter 4

    The Time Value

    of Money

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    IESEG – FINANCIAL MANAGEMENT – S2-2014/2015

    The Timeline

    • A timeline is a linear representation of the

    timing of potential cash flows.

    •It can be used to represent a series of cashflows lasting several periods (= stream of cash

    flows).

    • Drawing a timeline of the cash flows will helpyou visualize the financial problem.

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    The Timeline

    Differentiate between two types of cash flows

     – Inflows are positive cash flows.

     – Outflows are negative cash flows, which areindicated with a – (minus) sign.

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    The Timeline

    • Assume that you are lending $10,000 today and that the loan will berepaid in two annual $6,000 payments.

    • The first cash flow at date 0 (today) is represented as a negative sumbecause it is an outflow (vs the 2 inflows of + $6000)

    • Timelines can represent cash flows that take place at the end of any timeperiod – a month, a week, a day, etc.

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    Three Rules of Time Travel

    • Financial decisions often require combining

    cash flows or comparing values. Three rules

    govern these processes.The Three Rules of Time Travel

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    • Most investment opportunities have multiple

    cash flows that occur at different point in time

    • Based on the first rule of time travel we can

    derive a general formula for valuing a stream

    of cash flows:

    If we want to find the present value of a stream

    of cash flows, we simply add up the present

    values of each.

    Valuing a Stream of Cash Flows

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    The Internal Rate of Return

    In some situations, you know the present value

    and cash flows of an investment opportunity but

    you do not know the internal rate of return

    (IRR), the interest rate that sets the net present

    value of the cash flows equal to zero.

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    Chapter 7 

    InvestmentDecision Rules

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    The NPV Decision Rule (reminder)

    When making an investment decision, take the

    alternative with the highest NPV.Choosing this alternative is equivalent to receiving

    its NPV in cash today.

    => Compare the project’s NPV to zero and acceptthe project if its NPV is positive

    NPV and Stand-Alone Projects

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    Alternative Rules Versus the NPV Rule

    • Sometimes alternative investment rules may

    give the same answer as the NPV rule, but at

    other times they may disagree.

    • When the rules conflict, the NPV decision rule

    should be followed => in these cases, the

    alternative rules lead to bad decisions that

    reduce wealth

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    The Internal Rate of Return Rule

    • Internal Rate of Return (IRR) Investment Rule

    Take any investment where the IRR exceeds the cost

    of capital. Turn down any investment whose IRR is

    less than the cost of capital.

    • Project cost of capital : return on other

    alternatives in the market with equivalent riskand maturity

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    The Internal Rate of Return Rule

    • The IRR Investment Rule will give the same answer as the NPV rulein many, but not all, situations.

    • In general, the IRR rule works for a stand-alone project if all of theproject’s negative cash flows precede its positive cash flows. 

    • In other cases, the IRR rule may disagree with the NPV rule andthus be incorrect.

    Situations where the IRR rule and NPV rule may be in conflict:• Delayed Investments

    • Nonexistent IRR

    • Multiple IRRs

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    The Payback Rule

    • The payback period is amount of time it takes to recover or payback the initial investment. If the payback period is less than a pre-specified length of time, you accept the project. Otherwise, youreject the project.

    • The payback rule is used by many companies because of itssimplicity.

    • Pitfalls:

     – Ignores the project’s cost of capital and time value of money. 

     – Ignores cash flows after the payback period.

     – Relies on an ad hoc decision criterion.

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    Mutually Exclusive Projects :

    • When you must choose only one project

    among several possible projects, the choice ismutually exclusive.

    • NPV Rule

    • Select the project with the highest NPV.• It leads to the greatest increase in wealth

    Choosing Between Projects

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    • Mutually Exclusive Projects :

     – IRR Rule :

    • Selecting the project with the highest IRR

    • But, it may lead to mistakes :

     – When projects differ in scales of investment

     – When projects differ in the timing of their cash flows

     – When projects differ in their riskiness

    => Then their IRRs cannot be meaningfhully compared

    Choosing Between Projects

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    The Incremental IRR Rule

    Incremental IRR Investment Rule

    • Apply the IRR rule to the difference between thecash flows of the two mutually exclusive

    alternatives (the increment to the cash flows ofone investment over the other)

    • The incremental IRR tells the discount rate atwhich it becomes profitable to switch from one

    project to the other => we don’t compare theprojects directly, we evaluate the decision toswitch from one to the other using the IRR rule

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    The Incremental IRR Rule

    • Shortcomings of the Incremental IRR Rule (sameas for IRR Rule) :

     – The incremental IRR may not exist.

     – Multiple incremental IRRs could exist.

     – The fact that the IRR exceeds the cost of capital forboth projects does not imply that either project has apositive NPV.

     – When individual projects have different costs ofcapital, it is not obvious which cost of capital theincremental IRR should be compared to.

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    IESEG – FINANCIAL MANAGEMENT – S2-2014/2015

    Project Selection

    with Resource Constraints

    • Evaluation of Projects with Different Resource

    Constraints

    • The profitability index can be used to identify theoptimal combination of projects to undertake.

    Value Created NPVProfitability IndexResource Consumed Resource Consumed

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    Shortcomings of the Profitability Index

    • In some situations the profitability Index doesnot give an accurate answer.

    • Two Conditions of the Profitability Index :

     –  The set of projects taken following the

    profitability index ranking completely exhausts the

    available ressource

     –

    There is only a single relevant ressource constraint  => With multiple resource constraints, the

    profitability index can break down completely.

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    Chapter 8

    Fundamentals of

    Capital Budgeting

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    Forecasting Earnings

    • Capital Budget

    Lists the investments that a company plans

    to undertake

    • Capital Budgeting

    Process used to analyze alternate investments and

    decide which ones to accept

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    Forecasting Earnings

    • Incremental Earnings

    The amount by which the firm’s earnings are

    expected to change as a result of the investment

    decision

    • Earnings are not actual cash flow. However, as

    a practical matter, to derive the forecasted

    cash flow of a project, financial managersoften begin by forecasting earnings.

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    Interest Expense

    • In capital budgeting decisions, interest

    expense is typically not included . The rationale

    is that the project should be judged on its

    own, not on how it will be financed.

    • For this reason, we refer to the net income we

    compute as the unlevered net income

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    IESEG – FINANCIAL MANAGEMENT – S2-2014/2015

    Taxes

    • Marginal Corporate Tax Rate

    The tax rate on the marginal or incremental  dollar of

    pre-tax income. Note: A negative tax is equal to a

    tax credit.Income Tax EBIT

    c

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    Unlevered Net Income

    Unlevered Net Income Calculation

    Unlevered Net Income EBIT (1 ) (Revenues Costs Depreciation) (1 )

    c

    c

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    Incremental Earnings Forecast

    Spreadsheet Incremental Earnings Forecast

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    Sunk Costs and Incremental Earnings

    • Sunk costs are costs that have been or will be paid regardless of thedecision whether or not the investment is undertaken.

    • Sunk costs should not be included in the incremental earningsanalysis.

    Typically overhead costs are fixed and not incremental to theproject and should not be included in the calculation of incrementalearnings (except the additional overhead expenses that arisebecause of the decision to take the project).

    Past Research and Development Expenditures :Money that hasalready been spent on R&D is a sunk cost and therefore irrelevant.The decision to continue or abandon a project should be based onlyon the incremental costs and benefits of the product going forward.

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    Determining Free Cash Flow and NPV

    • Earnings are an accounting measure of the

    firm’s performance. 

    • To evaluate a capital budgeting decision, we

    must determine its consequences for the

    firm’s available cash. 

    • The incremental effect of a project on a firm’s

    available cash is its free cash flow.

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    Calculating the Free Cash Flow

    from Earnings

    • Net Working Capital (NWC)

     – Most projects will require an investment in net

    working capital.

    • Trade credit is the difference between receivables

    and payables.

     – The increase in net working capital is defined as:

     Net Working Capital Current Assets Current Liabilities

     Cash Inventory Receivables Payables

      1  t t t  NWC NWC NWC 

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    Calculating the Free Cash Flow

    from Earnings

    Spreadsheet Calculation of Free Cash

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    Calculating Free Cash Flow Directly

    • Free Cash Flow 

     – The term   c × Depreciation is called the depreciation taxshield (tax savings resulting from the ability to deductdepreciation => depreciation expenses have a positiveimpact on the free cash flow)

    Unlevered Net Income

    Free Cash Flow (Revenues Costs Depreciation) (1 )

     Depreciation CapEx

    c

     NWC 

    Free Cash Flow (Revenues Costs) (1 ) CapEx

    Depreciation

    c

    c

     NWC 

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    Calculating the NPV

    year discount factor 

    1( )

    (1 ) (1 )

    t t t t 

     FCF  PV FCF FCF 

    r r 

    Spreadsheet Computing NPV

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    Analyzing the Project

    Break-Even Analysis

    • The break-even level of an input is the level

    that causes the NPV of the investment to

    equal zero.

    • In a break-even analysis, for each parameter,

    we calculate the value at which the NPV is

    zero.

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    Sensitivity Analysis

    • Sensitivity Analysis shows how the NPV varies

    with a change in one of the assumptions,

    holding the other assumptions constant.

    • Which aspects of the project are more critical

    when managing the project

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    Chapter 9

    Valuing Stocks