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    Learning Objectives

    Understand the importance of workingcapital.

    The liquidity-profitability trade-off. Determining the optimal level of

    current assets.

    The risk and return implications ofalternative approaches to workingcapital financing policy.

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    The Importance of Managing and

    Accumulating Working Capital

    Working capital is the amount of thefirms current assets: cash, accounts

    receivable, marketable securities,inventory and prepaid expenses.

    Managing the level and financing ofworking capital is necessary:

    to keep costs under control (e.g. storage ofinventory)

    to keep risk levels at an appropriate level(e.g. liquidity)

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    Managing Current Assets

    & Liabilities Net Working Capital

    = Current Assets - Current Liabilities

    Determining the Correct level of WorkingCapital Balance Risk & Return

    Benefits of Working Capital Higher Liquidity (Lowers Risk)

    Costs of Working Capital Lower Returns - $$ invested in lower returning

    securities rather than production.

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    Firm 1

    ST Debt 100LT Debt 400Common Stock 500Total Liabilities&Equity 1000

    Firm 1Marketable Securities 0Other Current Assets 200

    Fixed Assets 800Total Assets 1000

    Firm 1Operating Earnings 150

    Interest Earned 0EBT 150Taxes (40%) -60Net Income 90

    Example: Risk-Return Trade-off

    Compare the 2 following companies

    Current Assets

    Current Liabilities

    Current Ratio =

    200100

    =

    = 2Current Ratio 2

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    Firm 1

    ST Debt 100LT Debt 400Common Stock 500Total Liabilities&Equity 1000

    Firm 1Marketable Securities 0Other Current Assets 200

    Fixed Assets 800Total Assets 1000

    Firm 1Operating Earnings 150

    Interest Earned 0EBT 150Taxes (40%) -60Net Income 90

    Current Ratio 2

    Return on Assets =Net Income

    Assets

    901000

    =

    Example: Risk-Return Trade-off

    Compare the 2 following companies

    = .09 = 9%

    ROA 9%

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    Firm 2:

    $200 Marketable SecuritiesFinanced with Common Stock

    200 x 4% = $8 interest earned

    Firm 1 Firm 2

    Marketable Securities 0 200Other Current Assets 200 200

    Fixed Assets 800 800Total Assets 1000 1200

    Firm 1 Firm 2

    ST Debt 100 100LT Debt 400 400

    Common Stock 500 700Total Liabilities&Equity 1000 1200

    Firm 1 Firm 2Operating Earnings 150 150

    Interest Earned 0 8EBT 150 158Taxes (40%) -60 -63Net Income 90 95

    Current Ratio 2

    ROA 9%

    Example: Risk-Return Trade-off

    Compare the 2 following companies

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    Firm 1 Firm 2

    Marketable Securities 0 200Other Current Assets 200 200

    Fixed Assets 800 800Total Assets 1000 1200

    Firm 1 Firm 2

    ST Debt 100 100LT Debt 400 400

    Common Stock 500 700Total Liabilities&Equity 1000 1200

    Firm 1 Firm 2Operating Earnings 150 150

    Interest Earned 0 8EBT 150 158Taxes (40%) -60 -63Net Income 90 95

    Current Ratio 2

    ROA 9%

    400100

    =

    Current Ratio = CA

    CL

    Example: Risk-Return Trade-off

    Compare the 2 following companies

    = 44

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    Firm 1 Firm 2

    Marketable Securities 0 200Other Current Assets 200 200

    Fixed Assets 800 800Total Assets 1000 1200

    Firm 1 Firm 2

    ST Debt 100 100LT Debt 400 400

    Common Stock 500 700Total Liabilities&Equity 1000 1200

    Firm 1 Firm 2Operating Earnings 150 150

    Interest Earned 0 8EBT 150 158Taxes (40%) -60 -63Net Income 90 95

    Current Ratio 2 4

    ROA 9%

    951200

    =

    Example: Risk-Return Trade-off

    Compare the 2 following companies

    =.079 = 7.9%

    7.9%

    Return on Assets =NI

    Assets

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    Firm 1Higher ROALess LiquidRiskier

    Firm 2Lower ROAMore LiquidLess Risky

    Example: Risk-Return Trade-off

    Compare the 2 following companies

    Firm 1 Firm 2

    Marketable Securities 0 200Other Current Assets 200 200

    Fixed Assets 800 800Total Assets 1000 1200

    Firm 1 Firm 2

    ST Debt 100 100LT Debt 400 400

    Common Stock 500 700Total Liabilities&Equity 1000 1200

    Firm 1 Firm 2Operating Earnings 150 150

    Interest Earned 0 8EBT 150 158Taxes (40%) -60 -63Net Income 90 95

    Current Ratio 2 4

    ROA 9% 7.9%

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    Time

    Total Assets

    Assume ZERO Long-term Growth

    $5M

    Variation in assets over time

    FixedAssets

    }

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    Time

    Total Assets

    FixedAssets

    Permanent

    Current Assets}

    }$5M

    $7M

    Variation in assets over time

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    Temporary Current Assets

    Variation in assets over time

    Time

    Total Assets

    Fixed

    Assets

    Permanent

    Current Assets}

    }

    $5M

    $7M

    $10M

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    Different Approaches to Financing

    Conservative Approach

    Finance all fixed assets, permanent current assets,

    and some temporary with LT debt or equity. STfinancing is used for the remaining temp. currentassets.

    Lower risk, lower return

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    Financing Current Assets:

    Conservative Approach

    Temporary Current Assets

    Time

    Total Assets

    Fixed

    Assets

    Permanent

    Current Assets}

    }

    $5M

    $7M

    $10M

    Temporary Current Assets

    Time

    Total Assets

    Fixed

    Assets

    Permanent

    Current Assets}

    }

    $5M

    $7M

    $10M

    Short-term

    Sources

    Long-term

    Sources

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    Different Approaches to

    Financing Conservative Approach

    Finance all fixed assets, permanent current assets,and some temporary with LT debt or equity. STfinancing is used for the remaining temp. currentassets.

    Lower risk, lower return

    Moderate Approach (Maturity Matching) Finance fixed assets and permanent current assetswith LT funds and temporary current assets withST funds.

    Moderate risk, moderate return

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    Financing Current Assets:

    Moderate Approach

    Temporary Current Assets

    Time

    Total Assets

    FixedAssets

    Permanent

    Current Assets}

    }$5M

    $7M

    $10M

    Temporary Current Assets

    Time

    Total Assets

    FixedAssets

    Permanent

    Current Assets}

    }$5M

    $7M

    $10M

    Long-term

    Sources

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    Financing Current Assets:

    Moderate ApproachShort-term

    Sources

    Temporary Current Assets

    Time

    Total Assets

    Fixed

    Assets

    Permanent

    Current Assets}

    }$5M

    $7M

    $10M

    Temporary Current Assets

    Time

    Total Assets

    Fixed

    Assets

    Permanent

    Current Assets}

    }$5M

    $7M

    $10M

    Long-term

    Sources

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    Different Approaches to

    Financing Conservative Approach

    Finance all fixed assets, permanent current assets, and sometemporary with LT debt or equity. ST financing is used forthe remaining temp. current assets.

    Lower risk, lower return

    Moderate Approach (Maturity Matching) Finance fixed assets and permanent current assets with LT

    funds and temporary current assets with ST funds.

    Moderate risk, moderate return

    Aggressive Approach Finance all temporary current assets, permanent current

    assets, and some fixed assets with ST debt. LT financing isused for the remaining fixed assets.

    Higher risk, higher return

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    Long-term Sources

    Financing Current Assets:

    Aggressive Approach

    Temporary Current Assets

    Time

    Total Assets

    Fixed

    Assets

    Permanent

    Current Assets}

    }$5M

    $7M

    $10M

    Temporary Current Assets

    Time

    Total Assets

    Fixed

    Assets

    Permanent

    Current Assets}

    }$5M

    $7M

    $10M

    Short-term

    Sources

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    Managing (WARM, SOFT) Cash

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    How much cash should a

    firm keep on hand? Managers must keep enough cash to

    make payments when needed.

    (Minimum balance) But since cash is a non-earning asset,

    managers should invest excess returns

    and keep just the amount of cash thatis necessary.(Maximum balance)

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    The size of the minimum

    cash balance depends on: How quickly and cheaply a firm can

    raise cash when needed.

    How accurately managers can predictcash requirements.

    How much precautionary cash the

    managers need for emergencies.

    Link to Dun & Bradstreet

    http://www.dnb.com/http://www.dnb.com/
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    The firms maximum cash

    balance depends on: Available (short-term) investment

    opportunities e.g. money market funds, CDs, commercial

    paper Expected return on investment opportunities

    (opportunity cost) If high expected return, firms are quick to invest

    excess cash

    Transaction cost of withdrawing cash andmaking an investment

    Link to Bureau of Economic Analysis

    http://www.bea.doc.gov/http://www.bea.doc.gov/http://www.bea.doc.gov/http://www.bea.doc.gov/
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    Choosing the Optimum CashBalance

    Days of the Month

    | | | | | | | | | | | | | | | | | | | | | | | | | | | |

    Cash Balances in a Typical Month

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    27Days of the Month

    | | | | | | | | | | | | | | | | | | | | | | | | | | | |

    Cash Balances in a Typical Month

    Choosing the Optimum CashBalance

    Invest Excess

    Cash

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    28Days of the Month

    | | | | | | | | | | | | | | | | | | | | | | | | | | | |

    Cash Balances in a Typical Month

    Choosing the Optimum CashBalance

    Sell Securities toobtain cash

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    The Miller - Orr Model

    The Miller-Orr Model provides a formula fordetermining the optimum cash balance, the

    point at which to sell securities (lower limit)and when to invest excess cash (upperlimit).

    Depends on:

    transaction costs of buying or selling securities

    variability of daily cash

    return on short-term investments

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    The Miller-Orr Model- Target Cash Balance (Z)

    3 x TC x V

    4 x rZ = + L

    3

    where: TC = transaction cost of buyingor selling securities

    V = variance of daily cash flowsr = return on short-term

    investmentsL = minimum cash requirement

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    Example: Suppose that short-term securities

    yield 5% per year (r) and it costs the firm$50 each time it buys or sells securities(TC). The variance of cash flows is $100,000(V) and your bank requires $1,000 minimum

    checking account balance (L).

    The Miller-Orr Model- Target Cash Balance (Z)

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    The Miller-Orr Model- Target Cash Balance (Z)

    Example

    3 x 50 x 100,0004 x .05/365

    Z = + $1,000

    = $3,014 + $1,000 = $4,014

    3

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    The Miller-Orr Mode

    - Upper Limit The upper limit for the cash account (H) is

    determined by the equation:

    H = 3Z - 2Lwhere:Z = Target cash balanceL = Lower limit

    In the previous example:H = 3 ($4,014) - 2($1,000) = $10,042

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    Cash Budget - Problem

    Rocky Mountain Climbing, Inc. (RMC) has thefollowing information:

    Previous Sales November 2007 130,000December 2007 125,000

    Forecast SalesJanuary 2008 120,000February 2008 260,000March 2008 140,000

    April 2008 140,000

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    Cash Budget - Problem

    Rocky Mountain Climbing, Inc. (RMC) has thefollowing information:Previous Sales: November 2007 130,000

    December 2007 125,000Forecast sales for: January 2008 120,000

    February 2008 260,000March 2008 140,000

    April 2008 140,000Collections : 30% of customers pay cash

    50% pay in month after sale20% pay 2 months after sale

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    Cash Budget - Problem

    Other information for RMC Cash Budget:

    Purchases of inventory are 75% of sales

    and are made 2 months before saleand are paid for 1 month after delivery

    Other expenses $14,000 per month

    Taxes $10,000 due in March

    Cash Balance (Dec. 31, 2007) = $28,000Minimum balance required by bank = $25,000(ST borrowing rate = 6% annually)

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    Steps in the Cash Budget

    Forecast of monthly collections andother cash inflows

    Forecast of purchases and other cashoutflows

    Summarize the effect on net monthly

    cash flows and determine borrowingneeds or surpluses.

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    Cash Budget - Collections

    In each month RMC will collect cash from sales thathave occurred in that month and in the precedingtwo months.

    In January, sales are 120,000

    Collections: 30% x $120,000 (January sales) = 36,000

    50% x $125,000 (December sales) = 62,500 20% x $130,000 (November sales) = 26,000

    Total cash collected in January =$124,500

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    Sales made in January will not be fullycollected until March.

    Cash Budget - Collections

    Collection of January Sales

    Nov Dec Jan Feb Mar

    Sales 130,000 125,000 120,000 260,000 140,000

    36,000

    120,000 x .30

    60,000

    120,000 x .50

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    Sales made in January will not be fullycollected until March.

    Cash Budget - Collections

    Collection of January Sales

    Nov Dec Jan Feb Mar

    Sales 130,000 125,000 120,000 260,000 140,000

    36,000

    120,000 x .30

    60,000

    120,000 x .50

    24,000

    120,000 x .20

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    Calculate collections for other months.

    Cash Budget - Collections

    Cash Budget

    RMC, Inc.

    Sales 130,000 125,000 120,000 260,000 140,000Collections:Month of Sale (30%) 36,000 78,000 42,000

    First Month (50%) 62,500 60,000 130,0002nd Month (20%) 26,000 25,000 24,000Total Collections 124,500 163,000 196,000

    Nov Dec Jan Feb Mar

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    Payments for January Purchases

    Nov Dec Jan Feb Mar

    Sales 130,000 125,000 120,000 260,000 140,000

    75% of January Sales Purchased inNovember

    Purchases are made 2 months prior tosale and are paid for 1 month later.

    Cash Budget -

    Purchases/Payments

    90,000

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    Cash Budget -

    Purchases/Payments

    Payments for January Purchases

    Nov Dec Jan Feb Mar

    Sales 130,000 125,000 120,000 260,000 140,000

    90,000 90,00075% of January Sales Purchased inNovember, Paid for in December

    Purchases are made 2 months prior tosale and are paid for 1 month later.

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    Calculate payments for all months.Note that in order to do a cash budget,

    you will need forecasts of sales for April.

    Cash Budget -

    Purchases/Payments

    Cash Budget

    RMC, Inc.

    Sales 130,000 125,000 120,000 260,000 140,000 140,000Purchases 195,000 105,000 105,000Payments 195,000 105,000 105,000

    Nov Dec Jan Feb Mar Apr

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    Jan Feb Mar

    Cash Budget

    RMC, Inc.

    Cash Collections 124,500 163,000 196,000Material Payments 195,000 105,000 105,000

    Summary of Previous Calculations

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    Jan Feb Mar

    Cash Budget

    RMC, Inc.

    Net Monthly Change (84,500) 44,000 67,000Beginning Cash Balance 28,000Ending Cash (No Borrow)Needed (Borrowing)Loan RepaymentInterest CostEnding Cash BalanceCumulative Borrowing

    Analysis of Borrowing Needs

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    Jan Feb Mar

    Cash Budget

    RMC, Inc.

    Net Monthly Change (84,500) 44,000 67,000Beginning Cash Balance 28,000Ending Cash (No Borrow) (56,500)Needed (Borrowing)Loan RepaymentInterest CostEnding Cash BalanceCumulative Borrowing

    Analysis of Borrowing Needs

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    Jan Feb Mar

    Cash Budget

    RMC, Inc.

    Net Monthly Change (84,500) 44,000 67,000Beginning Cash Balance 28,000 25,000Ending Cash (No Borrow) (56,500) 69,000Needed (Borrowing) 81,500Loan Repayment 0Interest Cost 0Ending Cash Balance 25,000Cumulative Borrowing 81,500

    Analysis of Borrowing Needs

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    Jan Feb Mar

    Cash Budget

    RMC, Inc.

    Net Monthly Change (84,500) 44,000 67,000Beginning Cash Balance 28,000 25,000Ending Cash (No Borrow) (56,500) 69,000Needed (Borrowing) 81,500 0Loan Repayment 0Interest Cost 0 408Ending Cash Balance 25,000 25,000Cumulative Borrowing 81,500

    Analysis of Borrowing Needs

    Interest Incurred on PriorMonth Borrowing

    81,500 x .005

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    Jan Feb Mar

    Cash Budget

    RMC, Inc.

    Net Monthly Change (84,500) 44,000 67,000Beginning Cash Balance 28,000 25,000Ending Cash (No Borrow) (56,500) 69,000Needed (Borrowing) 81,500 0Loan Repayment 0 43,592Interest Cost 0 408Ending Cash Balance 25,000 25,000Cumulative Borrowing 81,500

    New Loan Balance

    81,500 - 43,592=$37,908

    Analysis of Borrowing Needs

    37,908

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    Jan Feb Mar

    Cash Budget

    RMC, Inc.

    Net Monthly Change (84,500) 44,000 67,000Beginning Cash Balance 28,000 25,000 25,000Ending Cash (No Borrow) (56,500) 69,000 92,000Needed (Borrowing) 81,500 0Loan Repayment 0 43,592Interest Cost 0 408Ending Cash Balance 25,000 25,000Cumulative Borrowing 81,500 37,908

    Analysis of Borrowing Needs

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    Jan Feb Mar

    Cash Budget

    RMC, Inc.

    Net Monthly Change (84,500) 44,000 67,000Beginning Cash Balance 28,000 25,000 25,000Ending Cash (No Borrow) (56,500) 69,000 92,000Needed (Borrowing) 81,500 0 0Loan Repayment 0 43,592Interest Cost 0 408 190Ending Cash Balance 25,000 25,000Cumulative Borrowing 81,500 37,908

    Analysis of Borrowing Needs

    Repay Outstanding LoanBalance

    37,908

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    Jan Feb Mar

    Cash Budget

    RMC, Inc.

    Net Monthly Change (84,500) 44,000 67,000Beginning Cash Balance 28,000 25,000 25,000Ending Cash (No Borrow) (56,500) 69,000 92,000Needed (Borrowing) 81,500 0 0Loan Repayment 0 43,592 37,908Interest Cost 0 408 190Ending Cash Balance 25,000 25,000Cumulative Borrowing 81,500 37,908 0

    Analysis of Borrowing Needs

    Ending Cash Balance

    $53,902-$25,000=$28,902 Surplus

    53,902

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    Managing Cash Inflows and

    Outflows Generally managers try to increase the

    amount of cash flowing into a business

    during any given time period. They also try to slow down cash

    outflows.

    Collect early and Pay late (but not toolate).

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    Managing Cash Flows

    Can increase cash inflows (or speed themup) by:

    Increasing cash sales

    Increasing credit sales collections

    Can decrease cash outflows (or slow themdown) by:

    Cutting costs Taking full advantage of time allowed to pay

    obligations

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    Accounts Receivable

    and Inventory

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    Learning Objectives

    How and why firms manage accountsreceivable and inventory.

    Computation of optimum levels ofaccounts receivable and inventory.

    Alternative inventory management

    approaches. How firms make credit decisions and

    create collection policies.

    Why do firms accumulate

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    Why do firms accumulateaccounts receivable and

    inventory? Given that accounts receivable and

    inventory are assets that do not provide anexplicit rate of return, it is important to

    understand why firms might still want tohave these investments.

    Granting credit is often an essentialbusiness practice and can enhance sales.

    (But also will increase costs.) Holding adequate inventory is necessary to

    avoid loss of sales due to stock-outs.

    Fi di th O ti L l

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    Finding the Optimum Levelof Accounts Receivable

    Firms managers must review the firmscredit policies and evaluate the impact ofany proposed changes in policies based onthe NPV of incremental cash flows due tothe change.

    This is similar to the method we used in

    determining the best capital budgetingprojects to undertake.

    Link to Hoovers Online

    A t R i bl

    http://www.hoovers.com/http://www.hoovers.com/
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    Accounts ReceivableManagement

    The terms of sale are generally statedin the form X / Y, n Z

    This means that the customer candeduct X percentage if the account ispaid withinYdays; otherwise, theaccount must be paid within Z days.

    Example: 2/10 n 30 The company offers a 2% discount if

    account paid in 10 days.

    Balance due in 30 days.

    Eff t f Ti ht i

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    Effects of TighteningCredit Policy Raise credit standards

    Fewer credit customers (could reduce sales) Lower accounts receivable

    Shorten net due period Fewer credit customers (could reduce sales)Accounts paid sooner Lower accounts receivable

    Reduce discount percentage Fewer credit customers (could reduce sales) Fewer take the discount

    Shorten discount period Same as above

    A erage Collection Period

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    Average Collection Period(ACP)

    Old Policy; 2/10, n30 35% of customers pay in 10 days

    62% of customers pay in 30 days

    3% of customers pay in 100 days

    ACP=(.35x10)+(.62x30)+(.03x100)=25.1 days

    New Policy; 2/10, n40 35%of customers pay in 10 days

    60% of customers pay in 40 days

    5% of customers pay in 100 days

    ACP=(.35x10)+(.60x40)+(.05x100)=32.5 days

    A l i f A t R i bl

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    Analysis of Accts. ReceivableChanges

    Develop pro forma financial statements foreach policy under consideration.

    Use the pro formas to estimate incremental

    cashflows by comparing forecasts tocurrent policy cash flows.

    Use the incremental cash flows to estimatethe NPV of each policy change.

    Choose the policy change that maximizesthe value of the firm (highest NPV).

    Analysis of Accts

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    Example:ABC Corporation is considering a credit policychange from offering no credit to offering 30days credit with no discount (n 30).

    Why might they do this?

    -Increase sales

    -Increase market share

    What costs will the firm incur as a result?

    -Cost of carrying accounts receivable

    -Potential increase in bad debts

    -Credit analysis and collection costs

    Analysis of Accts.Receivable Changes

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    Analysis of Accts

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    Analysis of Accts.Receivable Changes

    Calculate the NPV of the change (k = 12%): PV of the expected inflows of $3,900 per year

    from t = 0 to infinity (perpetuity)= $3,900 / .12

    = $32,500

    NPV = PV of inflows - initial investment= $32,500 - $28,000= $4,500

    Since NPV > 0, ABC should undertake the creditpolicy change, assuming that the assumptions arevalid and that the projected cash flows areaccurate.

    How Firms Make Credit

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    How Firms Make CreditDecisions

    The Five Cs of Credit:

    Characteris the borrowers willingness to pay basedon past payment patterns.

    Capacityis the borrowers ability to pay based onforecasts of future cash flows.

    Capital is how much wealth the borrower has to fallback on.

    Collateral is what the lender gets if the borrowerfails to pay.

    Conditions faced by the borrower in the businessmarketplace are also considered.

    Link to Credit Scoring

    M th d f C ll ti

    http://www.ftc.gov/bcp/conline/pubs/credit/scoring.htmhttp://www.ftc.gov/bcp/conline/pubs/credit/scoring.htm
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    Methods of Collection

    Send reminder letters.

    Make telephone calls. Hire collection agencies.

    Sue the customer.

    Settle for a reduced amount.

    Write off the bill as a loss.

    Sell accounts receivable to factors.

    Most firms use some of the following:

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    Inventory Management

    Typically, inventory accounts for about fourto five percent of a firm's assets.

    In order to effectively manage theinvestment in inventory, two problems mustbe dealt with: how much to order and howoften to order.

    The economic order quantity (EOQ) modelattempts to determine the order size thatwill minimize total inventory costs.

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    Inventory Management

    Determining Optimal Inventory

    Economic Order Quantity (EOQ)

    Total

    Inventory

    Costs

    =

    Total

    Carrying

    Costs

    Total

    Ordering

    Costs

    +

    Link to Bloomberg.com

    http://www.bloomberg.com/http://www.bloomberg.com/
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    =Total

    InventoryCosts

    ( ) CC + ( ) OC

    OQ2

    SOQ

    Where:

    OQ = Order Size (order quantity)S = Annual Sales VolumeCC = Carrying Cost per UnitOC = Ordering Cost per Order

    TotalInventory

    Costs

    =Total

    Carrying

    Costs

    TotalOrdering

    Costs

    +

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    85Order Size (units)

    Cost($)

    Ordering Costs

    = ( )OCS

    OQ

    Ordering Costs

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    Inventory Management

    The economic order quantity that

    minimizes the total costs of inventory.

    Determining Optimal Inventory

    EOQ =2 x S x OC

    CC

    Inventory Management

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    Inventory Management

    Economic Order Quantity (EOQ)Example:

    Awesome Autos expects to sell 1,200 new automobiles

    in the next year. It currently costs $26 per order placedwith the manufacturer. Carrying costs amount to $75 perauto. How many autos should they order each time theyplace an order?

    =

    = 28.84 29 cars

    2(1200)2675

    Determining Optimal Inventory

    EOQ =2 x S x OC

    CC

    Inventory Management

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    Inventory Management

    Determining Optimal Inventory Economic Order Quantity (EOQ)

    EOQ autos in each order

    Place 1,200/ 29 = 41.4 orders each year

    Example:Awesome Autos expects to sell 1,200 new automobiles

    in the next year. It currently costs $26 per order placedwith the manufacturer. Carrying costs amount to $75 perauto. How many autos should they order each time theyplace an order?

    Inventory Management with Safety

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    y g yStock- Order before inventory is at

    zero.

    EOQ

    Depleted Stock

    During Delivery

    Inventory Order Point

    Actual Delivery Time

    SafetyStock

    Time

    Inventory

    Level

    (units)

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    ABC Inventory

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    ABC InventoryClassification System Tool to reduce inventory carrying costs:

    classify different types of inventoryaccording to value.

    Example: Class A: Expensive items are assigned a serial

    number and are checked daily. Replaced only assold.

    Class B: Moderately priced items are assigned aserial number but are checked less often(monthly) and managed according to EOQ.

    Class C: Small inexpensive items. Checkinventory annually and reorder by visual check.

    Just In Time Inventory

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    Just In Time InventoryControl (JIT)

    Developed in Japan.

    Reduce raw material inventory carryingcosts by making deals with suppliers thatrequire them to deliver the raw materials asneeded.

    Carrying costs are passed on to suppliers.

    Can result in higher costs if delivery isdelayed: shut down of whole productionline.

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    Short Term

    Financing

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    Why Do Firms Need

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    Why Do Firms NeedShort-term Financing?

    Profits may not be sufficient to keep up withgrowth-related financing needs.

    Firms may prefer to borrow now for their

    needs rather than wait until they havesaved enough.

    Short-term financing instead of long-termsources of financing due to: easier availability

    usually lower cost

    Sources of Short-term

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    Sources of Short termFinancing

    Short-term loans.

    borrowing from banks and other financial

    institutions for one year or less. Trade credit.

    borrowing from suppliers

    Commercial paper. only available to large credit- worthy

    businesses.

    Types of short-term

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    Types of short termloans:

    Promissory noteA legal IOU that spells out the terms of the loan

    agreement, usually the loan amount, the term of

    the loan and the interest rate. Often requires that loan be repaid in full with

    interest at the end of the loan period.

    Self-liquidating loan

    The proceeds of the loan are used to acquireassets that generate cash to repay the loan (e.g.inventory).

    Types of short-term

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    Types of short termloans:

    Line of Credit The borrowing limit that a bank sets for a firm. May include many promissory notes that the firm

    has taken out at different times and withoverlapping payment periods.

    Usually informal agreement and may changeover time

    Revolving credit agreement

    Formal agreement with bank to extend credit toa firm for a period of time (can be more thanone year).

    T d C di

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    Trade Credit

    Trade credit is the act of obtaining funds bydelaying payment to suppliers.

    Even though it is obtained by simply delayingpayment, it is not always free.

    The cost of trade credit may be some interestcharge that the supplier charges on the unpaidbalance. More often, it is in the form of a lostdiscount that would be given to firms who payearlier.

    Credit has a cost. That cost may be passed alongto the customer as higher prices, borne by theseller as lower profits, or some of both.

    Estimation of Cost of

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    Estimation of Cost ofShort-Term Credit Calculation is easiest if the loan is for a one

    year period:

    Effective Interest Rate is used to determine thecost of the credit to be able to comparediffering terms.

    Effective

    Interest RateInterest you pay

    Amount you get to use=

    Example: You borrow $10,000 from a bank and must pay $1,000interest at the end of the year

    Your effective rate is the same as the stated rate= $1,000/$10,000 = .10 = 10%

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    V i ti i L T

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    Variations in Loan Terms

    Sometimes lenders require that a minimumamount, called a compensating balance bekept in your bank account.

    If your compensating balance requirementis $500, then the amount you can use isreduced by that amount.

    Effective cost for a $10,000 simple interest

    10% loan with a $500 compensatingbalance = $1,000/($10,000-$500) = .1053= 10.53%.

    Cost of Short-Term Credit

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    Cost of Short Term CreditFor Periods Less Than One Year

    When loans are for less than one year, we mustconvert the cost to annual terms for comparison.

    e.g. A 1 month $10,000 loan requires that interest

    of $90 be paid:the monthly rate = 90/10,000 = .0090 = .9%.

    Use the following formula to equate:

    Effective

    Annual =

    Rate1 + -1

    $ Interest$ you get

    to use

    (Periods/yr)( )

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    Cost of Short-Term Credit

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    Cost of Short Term CreditFor Periods Less Than One Year

    What if the loan is a discount loan? Mustpay the interest up front so that reduces thedollars available to use.

    $10,000 loan with .9%monthly interest:

    K=(1+ 9010,000 - 90

    )12

    -1 = .1146

    k = 11.46%

    Effective annual rate

    Sources of Short Term

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    Sources of Short TermCredit

    Cost of Trade Credit

    Typically receive a discount if you pay

    early. Stated as: 2/10, net 60

    Purchaser receives a 2% discount if paymentis made within 10 days of the invoice date,

    otherwise payment is due within 60 days ofthe invoice date.

    The cost is the form of the lost discount.

    Cost of Trade Credit 2/10

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    Cost o ade C ed t / 0net 60

    Assume your purchase is $100 list.

    If you take the discount, you pay $98.

    If you dont take the discount, you pay$100.

    Therefore, you are paying $2 for the

    privilege of borrowing $98 for theadditional 50 days. (Note: the first 10days are free in this example).

    Cost of Trade Credit 2/10 net 60

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    The formula for cost of trade credit is similar tothe previous equations.

    The exponent is the number of times per yearthe firm can take 50 days of credit.

    The cost of trade credit for this example:[1 +(2/98)])7.3 -1 = .1589 = 15.89%.

    Cost of Trade Credit 2/10 net 60

    Cost

    of Credit

    Discount %100-Discount%

    1 + -1365

    days to pay - disc. pd.( )=((

    Computing the Cost of TradeC dit

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    Credit

    Another Example Effective Annual Cost, k, of Passing Up

    a Discount; 2/10, n40

    K =(1+ 2100 - 2 )( 36540 10 )

    -1 = .2786

    k = 27.86%

    Commercial Paper

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    Commercial Paper

    Commercial paper is quoted on a discountbasis so discount yield must be converted toeffective annual interest rate forcomparison.

    Compute the discount from face value (D) D = (Discount yield x par x DTG)/360 DTG = days to go (to maturity)

    Compute the price = Par - D Compute Effective Annual Rate

    = (par/price)(365/DTG) - 1

    Cost of Commercial Paper

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    pExample

    $1 million issue of 90 day c.p. quoted at 4% discount yield.

    Step 1:Calculate D = .04 x $1 mill. x 90360

    = $10,000

    Step 2:Calculate price= $1,000,000 - $10,000= $990,000

    Step 3:Calculate effective rate

    = (1,000,000 / 990,000)

    (365/90)

    -1= 4.16%

    Accounts Receivable as

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    Collateral

    A pledge is a promise that the borrowingfirm will pay the lender any paymentsreceived from the accounts receivablecollateral in the event of default.

    Since accounts receivable fluctuate overtime, the lender may require certainsafeguards to ensure that the value of thecollateral does not go below the balance of

    the loan. Accounts receivable can also be sold

    outright. This is known as factoring.

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    Inventory as Collateral

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    Inventory as Collateral

    Blanket Lien: A general claim against theborrowers inventory if there is a default

    Trust Receipt: A legal document thatidentifies specific inventory as security for aloan

    Warehousing: Inventory pledged as

    collateral is removed from the control of theborrower (either in an on-site or publicwarehouse)