financial management week 13.1

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    Working Capital Management

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    Working-Capital Management

    Current Assets

    Cash, marketable securities, inventory,

    accounts receivable.

    Long-Term Assets

    Equipment, buildings, land.

    Which earn higher rates of return?

    Which help avoid risk of illiquidity?

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    Working-Capital Management

    CurrentAssets Cash, marketable securities, inventory,

    accounts receivable.

    Long-TermAssets Equipment, buildings, land.

    Risk-Return Trade-off:Current assets earn low returns, buthelp reduce therisk of illiquidity.

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    Working-Capital Management

    Current Liabilities

    Short-term notes, accrued expenses,

    accounts payable.

    Long-Term Debt and Equity

    Bonds, preferred stock, common stock.

    Which are more expensivefor the firm?

    Which help avoid risk of illiquidity?

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    Working-Capital Management

    CurrentLiabilities Short-term notes, accrued expenses,

    accounts payable.

    Long-Term Debt and Equity Bonds, preferred stock, common stock.

    Risk-Return Trade-off:Current liabilities are less expensive,but increase therisk of illiquidity.

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    Balance Sheet

    Current Assets Current Liabilities

    Fixed Assets Long-Term Debt

    Preferred Stock

    Common Stock

    To illustrate, lets finance all current assets

    with current liabilities,

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    Balance Sheet

    Current Assets Current Liabilities

    Fixed Assets Long-Term Debt

    Preferred Stock

    Common Stock

    To illustrate, lets finance all current assets

    with current liabilities, and finance all

    fixed assets with long-term financing.

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    Balance Sheet

    Current Assets Current Liabilities

    Fixed Assets Long-Term Debt

    Preferred StockCommon Stock

    Suppose we use long-termfinancing tofinance some of our current assets.

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    Balance Sheet

    Current Assets Current Liabilities

    Fixed Assets Long-Term Debt

    Preferred StockCommon Stock

    Suppose we use long-termfinancing tofinance some of our current assets.

    This strategy would be less risky, but more

    expensive!

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    Balance Sheet

    Current Assets Current Liabilities

    Fixed Assets Long-Term Debt

    Preferred Stock

    Common Stock

    Suppose we use current liabilitiesto financesome of our fixed assets.

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    Balance Sheet

    Current Assets Current Liabilities

    Fixed Assets Long-Term Debt

    Preferred Stock

    Common Stock

    Suppose we use current liabilities to financesome of our fixed assets.

    This strategy would be less expensive, but

    more risky!

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    Inventory Management

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    Inventory Management

    Purchasing

    Production scheduling

    Efficient servicing of customer demands

    Inventories provide flexibility for the firm in:

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    Appropriate

    Level of Inventories

    Employ a cost-benefit analysis

    Compare the benefitsof economies of production,

    purchasing, and product marketing against thecostof the additional investment in inventories.

    How does a firm determine the

    appropriate level of inventories?

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    How Much to Order?

    Forecast usage

    Ordering cost

    Carrying cost

    The optimal quantity to order depends on:

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    Total Inventory Costs

    C: Carrying costs per unit per period

    O: Ordering costs per order

    S: Total usage during the period

    Total inventory costs (T) =C(Q / 2) + O(S/ Q)

    TIME

    Q / 2

    QAverageInventory

    INVENTORY

    (inunits)

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    Total Inventory Costs

    EOQ (Q*) represents the minimum pointin total inventory costs.

    Total Inventory Costs

    Total Carrying Costs

    Total Ordering Costs

    Q* Order Size (Q)

    Costs

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    Economic Order Quantity

    The EOQor

    optimalquantity(Q*)

    is:

    The quantity of an inventory item to order sothat total inventory costs are minimized over

    the firms planning period.

    Q* = 2 (O) (S)C

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    Example of the

    Economic Order Quantity

    Basket Wonders is attempting to determine the economic

    order quantity for fabric used in the production of

    baskets.

    10,000 yards of fabric were used at a constant rate last

    period.

    Each order represents an ordering cost of $200.

    Carrying costs are $1 per yard over the 100-day planningperiod.

    What is the economic order quantity?

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    Economic Order Quantity

    We will solve for the economic order quantitygiven that ordering costs are $200 per order,total usage over the period was 10,000 units,

    and carrying costs are $1 per yard (unit).

    Q* = 2 ($200) (10,000)$1

    Q* = 2,000 Units

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    When to Order?

    Order Point -- The quantity to which inventory must fall

    in order to signal that an order must be placed toreplenish an item.

    Order Point (OP) = Lead time X Daily usage

    Issues to consider:

    Lead Time -- The length of time between the

    placement of an order for an inventory item andwhen the item is received in inventory.

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    Example of When to Order

    Julie Miller ofBasket Wonders has determined that ittakes only 2 days to receive the order of fabric after the

    placement of the order.

    When should Julie order more fabric?

    Lead time = 2 days

    Daily usage = 10,000 yards / 100 days= 100 yards per day

    Order Point = 2 days x100 yards per day=200 yards

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    Example of When to Order

    0 18 20 38 40Lead

    Time

    200

    2000

    OrderPointU

    NITS

    DAYS

    Economic Order Quantity (Q*)

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    Order Point Problem

    Average EOQinventory 2

    = + safety stock

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    Safety Stock

    Our previous example assumed certaindemand and lead

    time. When demand and/or lead time are uncertain, then

    the order point is:

    Order Point =

    (Avg.lead time xAvg.daily usage) + Safety stock

    Safety Stock-- Inventory stock held in reserve as acushion against uncertain demand (or usage) and

    replenishment lead time.

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    Order Point

    with Safety Stock

    0 18 20 38

    400

    2000

    OrderPoint

    UNITS

    DAYS

    2200

    Safety Stock200

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    How Much Safety Stock?

    Amount of uncertainty in inventory demand

    Amount of uncertainty in the lead time

    Cost of running out of inventory

    Cost of carrying inventory

    What is the proper amount of safetystock?

    Depends on the:

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    The cash conversion cycle focuses on the timebetween payments made for materials and laborand payments received from sales:

    Cash Inventory Receivables Payablesconversion = conversion + collection - deferral .

    cycle period period period

    Cash Conversion Cycle

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    Cash Conversion Cycle

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    CCC = +

    CCC = + 45.6 30

    CCC = 75.7 + 45.6 30

    CCC = 91.3 days.

    Days per yearInv. turnover

    Payablesdeferralperiod

    Days salesoutstanding

    3654.82

    Cash Conversion Cycle

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    Accounts Receivable

    Management

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    Accounts Receivable

    Management

    Size of I nvestment in Accounts Receivable

    Percent of Credit Sales to Total Sales

    Level of Sales Terms of Sale

    Quality of Customer

    Collection Efforts

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    Accounts Receivable

    Management

    Terms of Sale

    Quoted as a/b net c, which means

    deduct a%if paid within bdays,otherwise pay within cdays.

    Example: 3/30 net 60means

    deduct 3% if paid within 30 days,otherwise pay the entire amount

    within 60 days.

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    Accounts Receivable

    Management

    Terms of Sale

    Annualized opportunity cost offoregoing a discount:

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    x

    Accounts Receivable

    Management

    Terms of Sale

    Annualized opportunity cost offoregoing a discount:

    a 360*

    1 - a c - b

    *or 365

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    a 360

    1 - a c - bx

    Accounts Receivable Management

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    a 360

    1 - a c - b

    Opportunity cost of foregoing 3/30 net 60:

    x

    Accounts Receivable Management

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    a 360

    1 - a c - b

    opportunity cost of foregoing 3/30 net 60:

    .03 360

    1 - .03 60 - 30x

    x

    Accounts Receivable Management

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    a 360

    1 - a c - b

    opportunity cost of foregoing 3/30 net 60:

    .03 360

    1 - .03 60 - 30

    = 37.11%

    x

    x

    Accounts Receivable Management

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    Accounts Receivable Management

    It means oportunity cost 3% discount is

    37.11% (annualy).

    It is the opportunity cost if we forgo the cash

    discount.

    Then, we can assume it is a financing costsimilar to the interest on a loan.

    Compare that cost with the cost of a bank loan.

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    Accounts Receivable Management

    Should choose the cheapest source of funding.

    The cost of trade credit depends on credit

    terms.

    The higher the discount percentage offered, the

    greater the cost of forgoing the discount.

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    Accounts Receivable Management

    2/10 net 30

    0.02/(1-0.02) x 365/(30-10) = 0.020 x 18,25 =

    0.365 or 36,5 % pa

    Then, we compare with benchmark, say bank

    rate. If the banks rate is 22%, we should take

    the discount

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    Account Receivables Management

    Marginal/Incremental Analysis

    Step 1. Estimate changes in profit

    Step 2. Estimate additional cost in account

    receivables and inventory

    Step 3. Estimate cost of discount (if there is a

    change in cash discount)

    Step 4. Compare incremental income withincremental cost

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    Account Receivables Management

    Dennis Corporation credit sales is $8,000,000. It is collected

    within 30 days. Bad debt at this moment is $240,000 and

    opportunity cost is 15%. He calculates that variabel cost is

    75% of sales price.

    Dennis is considering to relax the credit standard from 1/30,net 60 become 1/45, net 60. He believes that the new credit

    standard will generate new credit sales become $9,000,000 and

    half of his customer will take the new cash discount. He also

    considers that bad debt of new credit standard will increase.He assumes 6% of new credit sales is bad debt. Furthermore,

    He estimates new investment in inventory level is about

    $25,000.

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    Account Receivables Management

    Relevan Information from Dennis Corp. New credit sales $9,000,000

    Previous credit sales $8,000,000

    Contribution margin (assumed for 1 unit) 25% (pricevar.cost)

    New bad debt level 6%

    New DSO 45 days

    Previous DSO 30 days

    Rate of return 15%

    New cash discount 1%

    Percentage of customers taking 50%

    new cash discount

    Additional investment in inventory $25,000

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    Account Receivables Management

    Step 1. Estimate changes in profit

    Changes in Profit = (Increase in sales x contribution margin)

    increase in sales x new bad debt level)

    = ($1,000,000 x 0,25)($1,000,000 x 0.06)

    = $190,000

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    Account Receivables Management

    Step 2. Estimate additional cost in account receivables and

    inventory

    Add.cost in A/R and inv = (Add. A/R + add. Inv.) x rate of return

    Add. A/R = (New sales x new DSO)(Previous sales x previous DSO)Add. A/R =(9,000,000 x 45/360)(8,000,000 x 30/360) = 458,340

    Add.cost in A/R and Inv. = (458,340 + 25,000) x 0.15 = 72,501

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    Account Receivables Management

    Step 3. Estimate cost of discount (if there is a change in

    cash discount) Cost of disc. = (New sales level x new cash disc. x % of customer taking new

    disc.)(previous sales level x prev. cash disc. X % of customer taking

    prev.disc.)

    Cost of disc. = ($9,000,000 x 0.01 x 0.50)($8,000,000 x 0.01 x 0)

    = $45,000

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    Account Receivables Management

    Step 4. Compare incremental income with

    incremental cost

    Step 1(Step 2 + Step 3)

    =$190,000($72,501 + $45,000) = $72,499 Conclusion: Dennis should take new credit standard

    as new incremental income higher than incremental

    cost.