Sample Problems--Forecasting

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Sample Problems--Forecasting

1.

Jill's Wigs Inc. had the following balance sheet last year:

Cash $ 800 Accounts payable

Accts receivable

Inventory

450

950

Accrued wages

Notes payable

Net fixed assets 34,000

Total assets $36,200

Mortgage

Common stock

Retained earnings

Total liabilities and equity

$ 350

150

2,000

26,500

3,200

4,000

$36,200

Jill has just invented a non-slip wig for men which she expects will cause sales to double, increasing after-tax net income to $1,000. She feels that she can handle the increase without adding any fixed assets. (1)Will Jill need any external financing if she pays no dividends? (2) If so, how much?

2.

You are given the following information:

Taxes (at 34%)

Net income

$ 17

$ 33

Dividend payout ratio 30%

If costs maintain a constant percentage of sales, what is the addition to retained earnings resulting from a 10% increase in sales?

3.

You are the owner of a small business which has the following balance sheet last:

Current assets

Net fixed assets

$ 5,000

10,000

Accounts payable

Accruals

Long-term debt

Common equity

$1,000

1,000

5,000

8,000

Total assets $15,000

Total liabilities and equity $15,000

Fixed and currents assets are fully utilized. All assets as well as accounts payables and accruals will increase at the same rate as sales. Next year you expect sales to increase by 50 percent. You also expect to retain $2,000 of next year's earnings within the firm. What is next year's additional external funding requirement, i.e., what is your firm's

AFN?

4.

Jill's Wigs, Inc. had the following balance sheet last:

Cash

Accounts receivable

Inventory

$ 800

450

950

Accounts payable

Accrued wages

Notes payable

$ 350

150

2,000

Net fixed assets 34,000

Total assets $36,200

Mortgage

Common stock

Retained earnings

Total liabilities and equity

26,500

3,200

4,000

$36,200

Jill has just invented a non-slip wig for men which she expects will cause sales to double, increasing after-tax net income to $1,000. Jill's Wigs is currently operating at full capacity, so any increase in sales will have to be accompanied by an equivalent percentage increase in fixed assets. (1)Will Jill need any external financing if she pays no dividends? (2) If so, how much?

Use the following to answer questions 5 and 6:

Cash

Accounts receivable

Inventory

Current assets

Fixed assets

Total assets

($ in millions)

2001

$ 20,000

35,000

60,000

115,000

275,000

$390,000

Accounts payable

Notes payable

Current liabilities

Long-term debt

Common stock

Retained earnings

Total liab.& equity

AWOL Tours

2001

$50,000

5,000

55,000

120,000

15,000

200,000

$390,000

($ in millions)

Sales

Cost of goods sold

Earnings before interest and taxes

Interest paid

Taxes (35%)

Net income

$700,000

560,000

140,000

17,000

43,050

$ 79,950

Addition to retained earnings $47,970

5. AWOL Tours sales for 2002 are projected to grow by 20 percent. Interest expense will be the same as in 2001

($17,000). The tax rate will remain at 35% and the dividend payout ratio will remain at 40%. Cost of goods sold, all assets, and accounts payable increase are proportional to sales. If the firm is operating at full capacity, what is the external financing needed to support this 20 percent growth in sales?

6. Refer to problem 5 above. Suppose that AWOL was operating at only 80 percent of capacity in 2001, what is AFN now?

7. Use the following information for Rebel, Corp. to determine AFN. Rebel, Inc. has projected a 25 percent increase in sales for the coming year. Assume that total costs will continue to run at 80% of sales, that the company will pay out 1/3 of its Net Income as dividends, and that the company is operating at full capacity. What is AFN for Rebel, Inc.?

Sales

Costs

Rebel, Inc.

Income Statement

Original

$1,000

800

Cash

A/R

Inv

Rebel, Inc.

Balance Sheet

Original

$ 160

440

A/P

N/P

600

Original

$ 300

100

EBT

Taxes (34%)

200

68 Total $ 1,200 LTD 800

Net Income

Dividends

Add. To RE

$44

88

132 NFA

Total

1,800 C/S

$3,000

R/E

Total

800

1,000

$3,000

8.

Refer to problem 7 above. Now assume that Rebel, Inc. was operating at 90 percent capacity. What is

AFN in this case?

9.

Suppose a firm has net income of $100 and a profit margin equal to 14%. If the firm is working at 2/3 of capacity. What are full capacity sales?

10.

The most recent financial statements for 2 Doors Down, Inc. are shown below. Assets, costs, and current liabilities are proportional to sales. Long-term debt and equity are not. 2 Doors Down pays out 50% of its net income as dividends. Next year’s sales are projected to increase by 16%. What is the external financing needed (AFN)?

2 Doors Down, Inc.

Income Statement

Sales

Costs

Original

$3,100

2,600

EBT

Taxes (34%)

Net Income

500

170

330

Current assets

Fixed assets

Total

2 Doors Down Inc.

Balance Sheet

Original

$ 4,000

3,000

Current liabilities

Long-term debt

Equity

$7,000 Total

Original

$750

1,250

5,000

$7,000

11.

Brown & Sons recently reported sales of $100 million, and net income equal to $5 million. The company has

$70 million in total assets. Over the next year, the company is forecasting a 20 percent increase in sales.

Since the company is at full capacity, its assets must increase in proportion to sales. The company also estimates that if sales increase 20 percent, spontaneous liabilities will increase by $2 million. If the company’s sales increase its profit margin will remain at its current level. The company’s dividend payout ratio is 40%.

Based on the AFN formula, how much addition capital must the company raise in order to support the 20 percent in sales?

12.

Chicky Pen Corporation recently reported the following income statement for last year: The company forecasts that its sales will increase by 20 percent next year and its operating costs will increase in proportion to sales. The company’s interest expense is expected to remain at $300 million and the tax rate will remain at

40%. The company plans to pay out 30 percent of its net income as dividends, the other 70 percent will be added to retained earnings. What is the forecasted addition to retained earnings for next year?

Income Statement

Sales

Operating costs

EBIT

Interest

Earnings before taxes

Taxes (40%)

Net income available to common stockholders

$8,000

3,700

$4,300

300

$4,000

1,600

$2,400

13.

Suppose that in 2004 sales increase by 10 percent over 2003 sales and that the 2004 dividend payout ratio is 60%. Assume that the firm is operating at full capacity and that any external funds needed will come from Notes Payable. Construct the projected income statement and balance sheet for 2004—allowing the interest expense to remain at $20,280 for now.

Balance Sheet

Assets 2003

Cash

Accounts receivable

Inventories

$ 180,000

360,000

720,000

Income Statement

Total current assets

Net fixed assets

Total assets

$1,260,000

1,440,000

$2,700,000

2003

Sales

Operating costs

$3,600,000

3,279,720

Liabilities and equity

Accounts payables

Notes payable

Accrued liabilities

$360,000

156,000

180,000

EBIT

Interest

EBT

Taxes (40%)

Net Income

Total current liabilities

Common stock

$696,000

1,800,000

Retained earnings 204,000

Total liabilities and equity $2,700,000

$320,280

20,280

$300,000

120,000

$180,000

14.

Suppose that in 2005 sales increase by 10 percent over 2004 sales and that the 2005 dividend payout ratio is 46.7%. Assume that all assets, as well as accounts payables, accrued liabilities, operating costs, and depreciation grow at the same rate as sales. Construct the projected income statement and balance sheet for 2005 (go through the 2 nd

pass balance sheet). Assume that interest expense remains at $88 and that any external funds needed are financed by Notes payable.

2004 Balance Sheet

Assets 2004

Cash

Accounts receivable

Inventories

Total current assets

Net fixed assets

Total assets

Liabilities and equity

Accounts payables

Notes payable

Accrued liabilities

Total current liabilities

Long-term bonds

Common stock

Retained earnings

Total liabilities and equity

$ 10

375

615

$1,000

1,000

$2,000

$60

110

140

$310

754

170

766

$2,000

Income Statement

Sales

Operating costs

Depreciation

EBIT

Interest

EBT

Taxes (40%)

Net Income

2004

$3,000

2,616

100

$284

88

$196

78

$118

15.

Kenny Corporation recently reported the following income statement for last year: The company forecasts that its sales will increase by 10 percent next year and its operating costs will increase in proportion to sales.

The company’s interest expense is expected to remain at $200 and the tax rate will remain at 40%. The company plans to pay out 50 percent of its net income as dividends and the other 50 percent will be added to retained earnings. What is the forecasted addition to retained earnings for next year?

Income Statement

Sales

Operating costs

EBIT

Interest

Earnings before taxes

Taxes (40%)

Net income available to common stockholders

$7,000

3,000

$4,000

200

$3,800

1,520

$2,280

16.

Actual 2003 sales were $2,000. 2004 sales are forecasted to grow at 30%--or to total $2,600.

The 1 st

pass forecasted balance sheet below assumes that the company was operating at full capacity and that all assets and accounts payables and accruals are proportional to sales Redo the problem below (re-project the 2004 balance sheet through the

2 nd

pass) assuming that the company was operating at 90 percent capacity in 2003. Assume also that any external financing needed (AFN) will be financed 50% by notes payable and 50 percent by long-term debt.

2003 2004

1st Pass

Projectd Projected

2004 2004

2nd Pass

Cash and securities

Accounts receivable

Inventories

Total current assets

Net fixed assets

Total assets

$ 100

120

140

360

640

130

156

182

468

832

1,000 $1,300

60

140

78

140

Liabilities and equity

Accounts payables & accruals

Notes payable

Total current liabilities

Long-term debt

Common stock

Retained earnings

Total liabilities and equity

200

200

10

590

1,000

218

200

10

761.6

1,189.6

17.

Patrick Star Corporation recently reported the following income statement for last year: The company forecasts that its sales will increase by 10 percent next year and its operating costs will increase in proportion to sales. The company’s interest expense is expected to remain at $400 and the tax rate will remain at 40%. The company plans to pay out 50 percent of its net income as dividends and the other 50 percent will be added to retained earnings. What is the forecasted addition to retained earnings for next year?

Income Statement

Sales

Operating costs

EBIT

Interest

Earnings before taxes

Taxes (40%)

$14,000

6,000

$8,000

400

$7,600

3,040

Net income available to common stockholders $4,560

18.

Carter Paint Company has plants in nine southern states. Sales for last year were $100 million. All assets

(including fixed assets) and current liabilities will vary directly with sales. Carter Paint has a profit margin of 5 percent and a retention ratio of 70 percent. Use the AFN formula to determine the Additional funds needed if sales grow by 10 percent next year.

Carter Paint.

Cash

Accounts receivable

Inventories

Current assets

Net fixed assets

Balance Sheet

$ 5

15

30

Accounts payable

Accruals wages

Accrued taxes

$ 50 Current liabilities

Notes payable

40 Total liabilities

Common stock

Retained earnings

$ 15

6

4

25

30

55

15

20

Total $90 Total $90

Cash

A/R

Inv

Total

NFA

Dividends

Add. To RE

$88

176

Futuroma, Inc.

Balance Sheet

Original

$ 320

880

1,200

A/P

N/P

$ 2,400

3,600

LTD

C/S

R/E

Total

19.

Use the following information for Futuroma, Inc. to determine AFN. Futuroma, Inc. has projected a 25 percent increase in sales for the coming year. Assume that total costs will continue to run at 80% of sales, that the company will pay out 1/3 of its Net Income as dividends, and that the company is operating at full capacity. What is AFN for Futuroma, Inc.?

Futuroma, Inc.

Income Statement

Sales

Costs

EBT

Taxes (34%)

Net Income

Original

$2,000

1,600

400

136

264

$6,000 Total

Original

$ 60

200

1,600

1,600

2,000

$6,000

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