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Financial managment Solution Manual: Managing Current Assets

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After reading this chapter, students should be able to: • Define basic working capital terminology. • Calculate the inventory conversion period, the receivables collection period, and the payables deferral period to determine the cash conversion cycle. • Briefly explain the basic idea of zero working capital. • Briefly explain how a negative cash conversion cycle works. • Distinguish among relaxed, restricted, and moderate current asset investment policies, and explain the effect of each on risk and expected return. • Explain how EVA methodology provides a useful way of thinking about working capital. • List the reasons for holding cash. • Construct a cash budget, and explain its purpose. • Briefly explain useful tools and procedures for effectively managing cash inflows and outflows. • Explain why firms are likely to hold marketable securities. • State the goal of inventory management and identify the three categories of inventory costs. • Identify and briefly explain the use of several inventory control systems. • Monitor a firm’s receivables position by calculating its DSO and reviewing aging schedules. • List and explain the four elements of a firm’s credit policy, and identify other factors influencing credit policy.

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After reading this chapter, students should be able to:

• Define basic working capital terminology

• Calculate the inventory conversion period, the receivables collection

period, and the payables deferral period to determine the cash conversion cycle

• Briefly explain the basic idea of zero working capital

• Briefly explain how a negative cash conversion cycle works

• Distinguish among relaxed, restricted, and moderate current asset

investment policies, and explain the effect of each on risk and expected return

• Explain how EVA methodology provides a useful way of thinking about

working capital

• List the reasons for holding cash

• Construct a cash budget, and explain its purpose

• Briefly explain useful tools and procedures for effectively managing

cash inflows and outflows

• Explain why firms are likely to hold marketable securities

• State the goal of inventory management and identify the three categories

of inventory costs

• Identify and briefly explain the use of several inventory control

systems

• Monitor a firm’s receivables position by calculating its DSO and

reviewing aging schedules

• List and explain the four elements of a firm’s credit policy, and

identify other factors influencing credit policy

Chapter 15 Managing Current Assets

LEARNING OBJECTIVES

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We have never found working capital an interesting topic to students, hence it

is, to us, a somewhat more difficult subject to teach than most Perhaps that’s because it comes near the end of the course, when everyone is tired More likely, though, the problem is that working capital management is really more a matter of operating efficiently than thinking conceptually correctly i.e., it is more practice than theory and theory lends itself better to classroom teaching than practice Still, working capital management is important, and it is something that students are likely to be involved with after they graduate

Since we have only one chapter on current asset management, we try to go all the way through it However, the chapter is modular, so it is easy to omit sections if time pressures require

Assuming you are going to cover the entire chapter, the details of what

we cover, and the way we cover it, can be seen by scanning Blueprints, Chapter

15 For other suggestions about the lecture, please see the “Lecture Suggestions” in Chapter 2, where we describe how we conduct our classes

DAYS ON CHAPTER: 3 OF 58 DAYS (50-minute periods)

LECTURE SUGGESTIONS

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15-1 When money is tight, interest rates are generally high This means that

near-cash assets have high returns; hence, it is expensive to hold idle cash balances Firms tend to economize on their cash balance holdings during tight-money periods

15-2 The two principal reasons for holding cash are for transactions and

compensating balances The target cash balance is not equal to the sum

of the holdings for each reason because the same money can often partially satisfy both motives

15-3 a Better synchronization of cash inflows and outflows would allow the

firm to keep its transactions balance at a minimum, and would therefore lower the target cash balance

b Improved sales forecasts would tend to lower the target cash balance

c A reduction in the portfolio of U S Treasury bills (marketable securities) would cause the firm’s cash balance to rise if the Treasury bills had been held in lieu of cash balances

d An overdraft system will enable the firm to hold less cash

e If the amount borrowed equals the increase in check-writing, the target cash balance will not change Otherwise, the target cash balance may rise or fall, depending on the relationship between the amount borrowed and the number of checks written

f The firm will tend to hold more Treasury bills, and the target cash balance will tend to decline

15-4 A lockbox would probably make more sense for a firm that operated

nationwide Lockboxes reduce the time required for a firm to receive incoming checks, to deposit them, and to get them cleared through the banking system so that the funds are available for use However, even a local firm with enough volume may want its bank to receive and process checks before the firm adjusts its accounts receivable ledgers

15-5 False Both accounts will record the same transaction amount

15-6 The four elements in a firm’s credit policy are (1) credit standards,

(2) credit period, (3) discount policy, and (4) collection policy The firm is not required to accept the credit policies employed by its competition, but the optimal credit policy cannot be determined without considering competitors’ credit policies A firm’s credit policy has an

ANSWERS TO END-OF-CHAPTER QUESTIONS

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important influence on its volume of sales, and thus on its profitability

15-7 The latest date for paying and taking discounts is May 10 The date by

which the payment must be made is June 9

15-8 a outstandinDays salesg =

Sales/365

receivable

/365 000 , 920 ,

$

000 , 312

$

=

$8,000/day

000 , 312

$

= 39 days

b False While it appears that most customers pay on time (because 39 days is less than the 40 days stipulated in the credit terms), this does not mean that all customers are paying on time In fact, it is very likely that some are not, since some customers are paying on the tenth day and are taking the discount

15-9 False An aging schedule will give more detail, especially as to what

percentage of accounts are past due and what percentage of accounts are taking discounts

15-10 No Although B sustains slightly more losses due to uncollectible

accounts, its credit manager may have a wise policy that is generating more sales revenues (and thus profits) than would be the case if he had

a policy which cut those losses to zero

15-11 A/R Sales Profit

a The firm tightens its credit

standards - - 0

b The terms of trade are

changed from 2/10, net 30,

to 3/10, net 30 0 + 0

c The terms are changed from

2/10 net 30, to 3/10, net 40 0 + 0

d The credit manager gets tough

with past-due accounts - - 0

Explanations:

a When a firm “tightens” its credit standards, it sells on credit more selectively It will likely sell less and certainly will make fewer credit sales Profit may be affected in either direction

b The larger cash discount will probably induce more sales, but they will likely be from customers who pay bills quickly Further, some of the current customers who do not take the 2 percent discount may be induced to start paying earlier The effect of this would be to reduce accounts receivable, so accounts receivable and profits could

go either way

c A less stringent credit policy in terms of the credit period should stimulate sales The accounts receivable could go up or down

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depending upon whether customers take the new higher discount or delay payments for the 10 additional days, and depending upon the amount of new sales generated

d If the credit manager gets tough with past due accounts, sales will decline, as will accounts receivable

15-12 The firm could have its suppliers ship by air freight, reducing lead

time, or on consignment, reducing the firm’s purchasing costs The firm can reduce its finished goods inventory by manufacturing to meet orders,

or by shipping goods to customers at the firm’s discretion, or by using seasonal dating in its accounts receivable policy

Unless the firm is in a strong bargaining position, or offers some financial incentive, shifting inventory burdens to suppliers and customers may result in higher costs and fewer sales If a supplier has

to carry larger raw material inventory, it may charge a higher price to the firm to cover its increased inventory costs Shifting inventory burdens to customers may result in lost sales if customers can obtain better service from other firms

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15-1 Net Float = Disbursement float - Collections float

= (4 × $10,000) - (3 × $10,000)

= $10,000

15-2 Sales = $10,000,000; S/I = 2×

Inventory = S/2

=

2

000 , 000 , 10

$ = $5,000,000.

If S/I = 5×, how much cash is freed up?

Inventory = S/5

=

5

000 , 000 , 10

$

= $2,000,000

Cash freed = $5,000,000 - $2,000,000 = $3,000,000

15-3 DSO = 17; Credit sales/Day = $3,500; A/R = ?

DSO =

S/365 A/R

17 =

$3,500 A/R A/R = 17 × $3,500 = $59,500

15-4 a Cost = (Number of locations)(Number of transfers)(Cost per transfer)

+ (Monthly cost)(12)

= (10)(260)($9.75) + ($6,500)(12) = $25,350 + $78,000

= $103,350

b Reduction in days of float = 3 days

Benefit = daysReductionof floatin collectionDaily s Opportunitcost y

= (3)($325,000)(0.10) = $97,500

c Net gain (loss) = $97,500 - $103,350 = -$5,850

Malitz should not initiate the lockbox system since it will cost the firm $5,850 more than it will earn on the freed funds

SOLUTIONS TO END-OF-CHAPTER PROBLEMS

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15-5 a 0.4(10) + 0.6(40) = 28 days.

b $912,500/365 = $2,500 sales per day

$2,500(28) = $70,000 = Average receivables

c 0.4(10) + 0.6(30) = 22 days $912,500/365 = $2,500 sales per day

$2,500(22) = $55,000 = Average receivables

Sales may also decline as a result of the tighter credit This would further reduce receivables Also, some customers may now take discounts further reducing receivables

15-6 a Setting up the formula for the cash conversion cycle, sales can be

calculated

CCC =

COGS Daily Avg

Pay

Acct

Sales Daily

Avg

Inv

Sales Daily

Avg

Rec

16.79 = ($47,000/ADS) + ($66,000/ADS) - ($72,000/0.8ADS)

16.79 = ($47,000/ADS) + ($66,000/ADS) - ($90,000/ADS)

16.79 = $23,000/ADS

16.79ADS = $23,000

ADS = $1,369.863

Therefore, annual sales equal $500,000 ($1,369.863 × 365 = $500,000)

b Based upon the given information, the firm's current assets equal

$148,750 ($35,750 + $47,000 + $66,000) Therefore, for its current ratio to increase to 2.0, it must reduce accounts payable to a level such that current liabilities total $74,375 ($148,750/2) If accrued liabilities on the balance sheet equal $13,000, accounts payable must

be reduced to $61,375 ($74,375 - $13,000) The firm's new average daily cost of goods sold would equal $1,369.863 × 0.70 = $958.90 Combined with the original information, the new CCC can be determined

as follows:

CCC = (AR/Avg Daily Sales) + (Inv/Avg Daily Sales) - (AP/Avg Daily COGS)

CCC = ($47,000/$1,369.863) + ($66,000/$1,369.863) - ($61,375/$958.90) CCC = 34.31 + 48.18 - 64.01

CCC = 18.48 days

15-7 a Cash conversion cycle = 22 + 40 - 30 = 32 days

b Working capital financing = 1,500 × 32 × $6 = $288,000

c If the payables deferral period was increased by 5 days, then its cash conversion cycle would decrease by 5 days, so its working capital financing needs would decrease by

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Decrease in working capital financing = 1,500 × 5 × $6 = $45,000.

d Cash conversion cycle = 20 + 40 - 30 = 30 days

Working capital financing = 1,800 × 30 × $7 = $378,000

15-8 a CCC =

period deferral Payables period

collections Receivable period

conversionInventory + − = 75 + 38 - 30 = 83 days

b Average sales per day = $3,421,875/365 = $9,375

Investment in receivables = $9,375 × 38 = $356,250

c Inventory turnover = 365/75 = 4.87×

15-9 a Inventory conversion period = 365/Inventory turnover ratio

= 365/6 = 60.83 days

Receivables collection period = DSO = 36.5 days

CCC =

period deferral Payables period

collections Receivable period

conversionInventory + − = 60.83 + 36.5 - 40 = 57.33 days

b Total assets = Inventory + Receivables + Fixed assets

= $150,000/6 + [($150,000/365) × 36.5] + $35,000 = $25,000 + $15,000 + $35,000 = $75,000

Total assets turnover = Sales/Total assets

= $150,000/$75,000 = 2×

ROA = Profit margin × Total assets turnover

= 0.06 × 2 = 0.12 = 12%

c Inventory conversion period = 365/7.3 = 50 days

Cash conversion cycle = 50 + 36.5 - 40 = 46.5 days

Total assets = Inventory + Receivables + Fixed assets

= $150,000/7.3 + $15,000 + $35,000

= $20,548 + $15,000 + $35,000 = $70,548

Total assets turnover = $150,000/$70,548 = 2.1262×

ROA = $9,000/$70,548 = 12.76%

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15-10 a Return on equity may be computed as follows:

Tight Moderate Relaxed Current assets

(% of sales × Sales) $ 900,000 $1,000,000 $1,200,000 Fixed assets 1,000,000 1,000,000 1,000,000 Total assets $1,900,000 $2,000,000 $2,200,000 Debt (60% of assets) $1,140,000 $1,200,000 $1,320,000 Equity 760,000 800,000 880,000 Total liab./equity $1,900,000 $2,000,000 $2,200,000 EBIT (12% × $2 million) $ 240,000 $ 240,000 $ 240,000 Interest (8%) 91,200 96,000 105,600 Earnings before taxes $ 148,800 $ 144,000 $ 134,400 Taxes (40%) 59,520 57,600 53,760 Net income $ 89,280 $ 86,400 $ 80,640 Return on equity 11.75% 10.80% 9.16%

b No, this assumption would probably not be valid in a real world situation A firm’s current asset policies, particularly with regard

to accounts receivable, such as discounts, collection period, and collection policy, may have a significant effect on sales The exact nature of this function may be difficult to quantify, however, and determining an “optimal” current asset level may not be possible in actuality

c As the answers to Part a indicate, the tighter policy leads to a higher expected return However, as the current asset level is decreased, presumably some of this reduction comes from accounts receivable This can be accomplished only through higher discounts,

a shorter collection period, and/or tougher collection policies As outlined above, this would in turn have some effect on sales, possibly lowering profits More restrictive receivable policies might involve some additional costs (collection, and so forth) but would also probably reduce bad debt expenses Lower current assets would also imply lower liquid assets; thus, the firm’s ability to handle contingencies would be impaired Higher risk of inadequate liquidity would increase the firm’s risk of insolvency and thus increase its chance of failing to meet fixed charges Also, lower inventories might mean lost sales and/or expensive production stoppages Attempting to attach numerical values to these potential losses and probabilities would be extremely difficult

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15-11 a Firm’s Bank’s

checkbook records

Day 1 Deposit $1,200,000;

write check for

$1,600,000 -$ 400,000 $1,200,000 Day 2 Write check

for $1,600,000 -$2,000,000 $1,200,000 Day 3 Write check

for $1,600,000 -$3,600,000 $1,200,000 Day 4 Write check

for $1,600,000 -$5,200,000 $1,200,000 Day 5 Write check for

$1,600,000; deposit

$1,600,000 -$5,200,000 $1,200,000 After the firm has reached a steady state, it must deposit $1,600,000 each day to cover the checks written four days earlier

b The firm has four days of float

c The firm should try to maintain a balance on the bank’s records of

$1,200,000 On its own books it will have a balance of minus

$5,200,000

d For any level of sales, the firm will probably have a higher rate of return on assets and equity if it can reduce its total assets By using float, SSC can reduce its cash account, by (4 × $1,600,000)

- $1,200,000 = $5,200,000 However, they actually can reduce equity and debt by $6,000,000 as the firm has gross float of $6,400,000 -

$400,000 (increase in the amount deposited in the bank) = $6,000,000,

so earnings per share will be higher In terms of the Du Pont equation, the rate of return on equity will be higher because of the reduction in total assets

15-12 a Presently, HGC has 5 days of collection float; under the lockbox

system, this would drop to 2 days

$1,400,000 × 5 days = $7,000,000

$1,400,000 × 2 days = 2,800,000

$4,200,000

HGC can reduce its cash balances by the $4,200,000 reduction in negative float

b 0.10($4,200,000) = $420,000 = the value of the lockbox system on an annual basis

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