Professional Finance Education

 

Working Capital Management (Reading 40)

 


Exercise Problems:

 

2.      A 30-day $10,000 U.S. Treasury bill sells for $9,932.40. The discount-basis yield (%) is closest to:

 

A. 8.11.

B. 8.17.

C. 8.28.

 


Ans: A;

 

A is correct. Note: The face value is greater than the purchase price because the T-bill sells at a discount.

3.      Selected information from a company’s recent income statement and balance sheets is presented below.

 

Selected Income Statement Data

for the year ended December 31st

(Can $ thousands)

2012

Sales

$2,240,000

Cost of goods sold

1,320,000

Gross profit

920,000

Net Income

$316,600

 

Selected Balance Sheet Data

as of December 31st

(Can $ thousands)

 

2012

2011

Assets

Cash & investments

$210,700

$191,600

Accounts receivable

212,800

201,900

Inventories

63,000

71,500

Total current assets

$486,500

$465,000

Liabilities

Accounts payable

$129,600

$157,200

Other current liabilities

130,700

182,700

Total current liabilities

$260,300

$339,900





 

The company operates in an industry in which suppliers offer terms of 2/10, net 30. The payables turnover for the average company in the industry is 8.5 times. Which of the following statements is most accurate? In 2011, the company on average:

     

A. took advantage of early payment discounts.

B. paid its accounts within the payment terms provided.

C. paid its accounts more promptly than the average firm in the industry.

 


Ans: C;

 

Payables turnover = Purchases ÷ Average payables = 1,311,500 ÷ 143,400 = 9.15 times

Where:

Purchases = COGS + End inventory – Beginning inventory = 1,320,000 + (63,000 – 71,500) = 1,311,500

Average payables = ? × (129,600 + 157,200) = 143,400

Days in payables = 365 ÷ Payables turnover ratio

Firm: 365 days ÷ 9.15 = 39.9 days

Industry: 365 days ÷ 8.5 times = 42.9 days

 

The firm’s days in payables is 39.9 days; therefore, it appears the firm does not normally take supplier-provided discounts (paying in 10 days) nor pay its accounts within the 30-day terms provided. However, on average, the firm is paying faster than the average firm in the industry (42.9 days).

4.      Based on a need to borrow $2 million for one month, which of the following alternatives has the least expensive effective annual cost?

 

A. A banker’s acceptance with an all-inclusive annual rate of 6.1%

B. A credit line at 6.0% annually with a $4,000 annual commitment fee

C. Commercial paper at 5.9% annually with a dealer’s annual commission of $1,500 and a backup line annual cost of $3,500

 

 

 

 

 

 

 


Ans: A;

 

 

Formula

 

Calculation

 

A

(Interest x 12)/

Net proceeds

Interest

0.061/12 × $2,000,000 = 10,166

Net proceeds

2,000,000 – 10,166 = 1,989,833

BA cost

(10,166 × 12) ÷ 1,989,833= 0.0613

B

[(Interest + Commitment fee) x 12] /

Useable loan amount

 

Interest

0.06/12 × $2,000,000 = 10,000

Commitment fee

0.005/12 × $2,000,000 = 833

Useable loan

$2,000,000

LOC cost

(10,833 × 12) ÷ 2,000,000= 0.065

C

[(Interest + Dealer’s commission

+ Backup costs) x 12]/

Net proceeds

Interest

0.059/12 × $2,000,000 = 9,833

Dealer commission

$3,000/12 = 250

Backup costs

$4,000/12 = 333

Total costs

9,833 + 250 + 333 = 10,416

Net proceeds

2,000,000 – 9,833 = 1,990,167

CP cost

(10,416 × 12) ÷ 1,990,167=

0.0628

 

Banker’s acceptance has the lowest annual effective cost of 0.0613.

 

 

5.      For a 90-day U.S. Treasury bill selling at a discount, which of the following methods most likely results in the highest yield?

 

A. Money market yield

B. Discount-basis yield

C. Bond equivalent yield

 


Ans: C;

 

Note that the face value is greater than the purchase price because the T-bill sells at a discount:

 

 

6.      Which is most likely considered a secondary source of liquidity?

 

A. Trade credit.

B. Liquidating long-term assets.

C. Centralized cash management system.

 


Ans: B;

 

Liquidating long-term assets is a secondary source of liquidity.

 

7.      Other factors held constant, the reduction of a company’s average accounts payables due to suppliers offering less trade credit will most likely:

 

A. reduce the operating cycle.

B. increase the operating cycle.

C. not affect the operating cycle.

 


Ans: C;

 

Payables are not part of the operating cycle calculation. Operating cash cycle includes inventory and accounts receivable.

 

8.      An inventory system that reduces average inventory without affecting sales will most likely reduce the:

 

A. quick ratio.

B. inventory turnover.

C. cash conversion cycle.

 

 


Ans: C;

 

The inventory turnover will increase which means the days in inventory will reduce which will reduce the cash conversion cycle (also called net operating cycle).

9.      The annual cost of trade credit assuming a 365-day year for terms 3/10 net 40 is closest to:

 

A. 32.0%.

B. 43.3%.

C. 44.9%.


Ans: C;

 

Cost of trade credit

 

= [ 1 + Discount/(1 – Discount)] ^(365/Days beyond discount period) -1

 

=[ 1+ 3%/(1-3%)]^(365/30)-1

 

=44.9%

 

 

10.  The following information is available for a company and the industry in which it competes:

 

 

Company

Industry

Accounts receivable turnover

5.6 times

6.5 times

 

Inventory turnover

4.2 times

4.0 times

 

Number of days of payables

28 days

36 days

 






 

Relative to the industry, the company’s operating cycle:

 

A. and cash conversion cycle are both longer.

B. is longer, but its cash conversion cycle is shorter.

C. is shorter, but its cash conversion cycle is longer.

 


Ans: A;

 

The operating cycle = number of days of inventory + number of days of receivables.

The cash conversion cycle = operating cycle – number of days of payables.

 

 

Company

Industry

Number of days receivables

365/6 = 65 days

365/ 6.5= 56 days

Number of days inventory

365/4.2 = 87 days

365/4.2 = 87 days

Operating cycles

65 + 87 = 152 Longer

56 + 91 = 147

Cash conversion cycle

152-28 = 124 Longer

147 – 36 = 111

 

Therefore, the operating cycle and cash conversion cycle are both longer for the company.

 

 

11.  Which of the following is the most appropriate technique for forecasting cash flow for the short term?

 

A. Statistical models

B. Simple projections

C. Projection models and averages

 

 

 

 

 


Ans: B;

 

Simple projections are used to forecast short-term needs. Projection models and averages are normally used to forecast medium term cash flow needs. Statistical models are normally used to forecast long term needs, not short term cash flow needs.

12.  Which of the following methods would be least likely to improve the cash collections of a retail organization?

 

A. Lockbox

B. Debit cards

C. Electronic checks

 

 

 

 


Ans: A;

 

A lockbox is a deposit system coordinated with a bank and is useful when the customer is not paying at the time of sale. In retail organizations, the customer normally pays at the time of sale and the best ways to improve cash collections are to ensure the payments made at that time have no credit risk for the seller. Debit cards, credit cards and electronic checks eliminate the credit risk for the seller.

13.  A company extends its trade credit terms by four days to all its credit customers. The most likely effect of this change to the company’s credit customers is a four day:

 

A. increase in their operating cycle.

B. decrease in their operating cycle.

C. decrease in their net operating cycle.

 


Ans: C;

 

A four day increase in payables will reduce the cash conversion cycle (net operating cycle) by four days.

14.  An analyst gathers the following information for a company:

 

Liquidity measure

Inventory turnover

20.7

Accounts payable turnover

14.1

Accounts receivable turnover

12.5

 

 

The company’s operating cycle is closest to:

 

A. 20.9 days.

B. 33.2 days.

C. 46.8 days.

 

 

 


Ans: C;

 

Operating cycle = days inventory outstanding + days receivables outstanding

 

Days inventory outstanding = 365 / inventory turnover = 17.63 days

 

Days receivables outstanding = 365 / accounts receivable turnover = 29.2 days

 

Operating cycle = 17.63 days + 29.2 days = 46.8 days


 

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