# Web Extension: Financing Feedbacks and Alternative Forecasting Techniques

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1 19878_09W_p qxd 3/10/06 9:56 AM Page 1 C H A P T E R 9 Web Extension: Financing Feedbacks and Alternative Forecasting Techniques IMAGE: GETTY IMAGES, INC., PHOTODISC COLLECTION In Chapter 9 we forecasted financial statements under the assumption that the firm s interest expense can be estimated as the product of the prior year s interest-bearing debt times an interest rate equal to the average rate on that debt plus about 0.5 percent. We indicated that this procedure is an approximation, and that a more precise procedure involves what we call financing feedbacks, which base the reported interest expense on the new forecasted level of debt. This extension explains how to incorporate these feedbacks into the forecasting model. The chapter s model was also based on the assumption that any additional funds needed (AFN) would be raised as notes payable, while any excess funds would be invested in short-term marketable securities. The extension also explains how that assumption can be modified. Finally, the chapter s model assumed that all operating assets and spontaneously generated current liabilities (accounts payable and accruals) bear a constant proportional relationship to sales. The extension shows how regression analysis can be used to check the validity of this assumption, and then how the forecasting model can be modified if the proportionality assumption does not appear to be valid. Forecasting Financial Statements with Financing Feedbacks and Alternative Sources of Funds See the textbook chapter for a discussion of MicroDrive s sales forecast and historical ratios. In this extension we use the same ratios and other inputs that were used in the textbook. 9E-1

2 19878_09W_p qxd 3/10/06 9:56 AM Page 2 Forecast the First-Pass Income Statement We call this a first pass because we will come back later and incorporate financing feedback. First, we forecast the income statement for the coming year. This statement is needed to estimate both income and the addition to retained earnings. Table 9E-1 shows the forecast. Sales are forecasted to grow by 10 percent. The forecast of sales, shown in Row 1 of Column 3, is calculated by multiplying 2006 sales, shown in Column 1, by (1 Growth rate) 1.1. The result is a forecast of \$3,300 million. We assume that costs will equal 87.2 percent of sales. See Column 3, Row 2, of Table 9E-1. Last year, the ratio of depreciation to net plant and equipment was 10 percent, and MicroDrive s managers believe that this is a good estimate of future depreciation. Total operating costs, shown in Row 4, are the sum of other costs and depreciation. EBIT is found by subtraction, while the interest charges shown in Column 3 are simply carried over from Column 1. The final interest charge will depend on the debt in 2007, which we discuss in the next section, so for the first pass we simply carry over last year s interest expense. Earnings before taxes (EBT) is then calculated, as is net income before preferred dividends. Preferred dividends are carried over from the 2006 column, and they will remain constant unless MicroDrive decides to issue additional preferred stock. Net income available to common is then calculated, after which the dividends are forecasted as follows. The most recent dividend per share was \$1.15, and this dividend is expected to increase by about 8 percent, to \$1.25. Since there are 50 million shares outstanding, the projected dividends are \$1.25(50) \$62.5 million. Table 9E-1 MicroDrive Inc.: Actual and First-Pass Projected Income Statements (Millions of Dollars, Except Per Share Data) First-Pass Actual 2006 Forecast Basis Forecast for (1) (2) 2007 (3) 1. Sales \$3, % 2006 Sales \$3, Costs except depreciation 2, % 2007 Sales 2, Depreciation % 2007 Net plant Total operating costs \$2,716.2 \$2, EBIT \$ \$ Less interest 88.0 Carryover from previous year Earnings before taxes (EBT) \$ \$ Taxes (40%) Net income before preferred dividends \$ \$ Preferred dividends 4.0 Carryover from previous year Net income available to common \$ \$ Shares of common equity Dividends per share \$ % 2006 DPS \$ Dividends to common \$ 57.5 DPS Number of shares \$ Additions to retained earnings \$ 56.0 \$ E-2 Chapter 9 Web Extension: Financing Feedbacks and Alternative Forecasting Techniques

3 19878_09W_p qxd 3/10/06 9:56 AM Page 3 To complete the forecasted income statement, the \$62.5 million of projected dividends are subtracted from the \$130.6 million projected net income, and the result is the first-pass projection of the addition to retained earnings, \$130.6 \$62.5 \$68.1 million. See IFM9 Ch09E Tool Kit.xls for details. Forecast the First-Pass Balance Sheet The assets shown on MicroDrive s balance sheet must increase if sales are to increase. MicroDrive s most recent ratio of cash to sales was approximately 0.33 percent, and its managers believe this ratio will remain constant in For the first pass, the amount of short-term investments in Column 1 of Row 2 is simply carried over to Column 3 of Table 9E-2. MicroDrive s most recent ratio of accounts receivable to sales was 12.5 percent and we assume it will stay the same. The most recent ratio of inventory to sales was 20.5 percent and we assume no change in MicroDrive s inventory management. The ratio of net plant and equipment to sales for 2006 was percent. Micro- Drive s net plant and equipment have grown fairly steadily in the past, and its managers expect similar future growth. Table 9E-2 MicroDrive Inc.: Actual, First-Pass, and Second-Pass Projected Balance Sheets (Millions of Dollars) First-Pass Second-Pass Actual Forecast Forecast Forecast 2006 Basis 2007 AFN 2007 (1) (2) (3) (4) (5) Assets 1. Cash \$ % 2007 Sales \$ 11.0 \$ Short-term investments 0.0 Carryover from previous year 0.0 \$ Accounts receivable % 2007 Sales Inventories % 2007 Sales Total current assets \$1,000.0 \$1,100.0 \$1, Net plant and equipment 1, % 2007 Sales 1, , Total assets \$2,000.0 \$2,200.0 \$2,200.0 Liabilities and Equity 8. Accounts payable \$ % 2007 Sales \$ 66.0 \$ Accruals % 2007 Sales Notes payable Carryover from previous year Total current liabilities \$ \$ \$ Long-term bonds Carryover from previous year Total liabilities \$1,064.0 \$1,084.0 \$1, Preferred stock 40.0 Carryover from previous year Common stock Carryover from previous year Retained earnings RE \$ Total common equity \$ \$ \$1, Total liabilities and equity \$2,000.0 \$2,088.1 \$111.9 \$2, Required operating assets \$2, Specified sources of financing \$2, Additional funds needed (AFN) \$ Chapter 9 Web Extension: Financing Feedbacks and Alternative Forecasting Techniques 9E-3

5 19878_09W_p qxd 3/10/06 9:56 AM Page 5 debt agreements. After considering all of the relevant factors, the staff decided on the following financing mix: 1 AMOUNT OF NEW CAPITAL Percent Dollars (Millions) Notes payable 25% \$ 28.0 Long-term bonds Common stock % \$111.9 These amounts, which are shown in Column 4 of Table 9E-2, are added to the initially forecasted amounts as shown in Column 3 to generate the second-pass balance sheet. Thus, in Column 5, notes payable increase to \$110 \$28 \$138 million, long-term bonds rise to \$754 \$28 \$782 million, and common stock increases to \$130 \$55.9 \$185.9 million. At that point, the balance sheet is in balance. Financing Feedbacks Our projected financial statements are incomplete because they do not reflect the fact that interest must be paid on the debt used to help finance the AFN, and that dividends will be paid on the new shares of common stock. Those payments, which are called financing feedbacks, will lower the net income and retained earnings shown in the projected statements. There are two ways to incorporate feedbacks into the forecasted statements, the manual approach and the automatic approach. We explain both approaches below. Manual Approach To use the manual approach, we first forecast the additional interest expense and dividends that result from external financings. We assume that the average rate on the new and existing short-term debt is about 8.5 percent and the average rate on old and new long-term debt is about 10.5 percent. 2 Notes payable began the year at \$110 million and ended at \$138 million, for an average balance of \$124 million. The forecasted interest on the notes payable is 0.085(\$124) \$10.54 million. Long-term bonds began the year at \$754 million and ended at \$782 million, for an average balance of \$768 million. The forecasted interest on long-term bonds is 0.105(\$768) \$80.64 million. MicroDrive has no short-term investments, so it has no interest income. If it had interest income, we would subtract it from the total interest expense to get the net interest expense. Since there is no interest income, the total forecasted interest expense is \$10.54 \$80.64 \$91.18 million, rounded to \$91.2 million, as shown in Row 6 of Column 5 in Table 9E-3. Also notice that taxes and net income fall due to the now-higher interest charges. 1 Had the AFN been negative, MicroDrive would have had more funds than it needed to finance its assets. In this case, MicroDrive could reduce its financing (that is, pay off some debt, buy back stock, or pay a larger dividend). Instead, MicroDrive will acquire additional short-term investments with the extra funds. 2 Notice that these rates are slightly lower than the rates used in Chapter 9. The approach in Chapter 9 based interest expense on the debt at the beginning of the year, which would understate the true interest expense if debt increases throughout the year. Therefore, we used slightly higher rates to compensate for this understatement. Chapter 9 Web Extension: Financing Feedbacks and Alternative Forecasting Techniques 9E-5

6 19878_09W_p qxd 3/10/06 9:56 AM Page 6 Table 9E-3 MicroDrive Inc.: Actual, First-Pass, and Second-Pass Projected Income Statements (Millions of Dollars, Except Per Share Data) First-Pass Second-Pass Actual Forecast Forecast Feedback 2007 (1) (3) (4) (5) 1. Sales \$3,000.0 \$3,300.0 \$3, Costs except depreciation 2, , , Depreciation Total operating costs \$2,716.2 \$2,987.6 \$2, EBIT \$ \$ \$ Less interest Recalculated Earnings before taxes (EBT) \$ \$ \$ Taxes (40%) NI before preferred dividends \$ \$ \$ Preferred dividends NI available to common \$ \$ \$ Shares of common equity Dividends per share \$ 1.15 \$ 1.25 \$ Dividends to common \$ 57.5 \$ 62.5 \$ Additions to retained earnings \$ 56.0 \$ 68.1 \$ 63.2 Note: Columns (1) and (3) come from Table 9E-1. The financing plan also calls for issuing \$55.9 million of new common stock. MicroDrive s stock price was \$23 at the end of 2006, and if we assume that new shares will be sold at this price, then \$55.9/\$ million shares of new stock will have to be sold. Further, MicroDrive s 2007 dividend payment is projected to be \$1.25 per share, so the 2.43 million shares of new stock will require 2.43(\$1.25) \$ million of additional dividend payments. Thus, dividends to common stockholders as shown in the second-pass income statement increase to \$62.5 \$ \$ million. The net effect of the financing feedbacks is to reduce the addition to retained earnings by \$4.9 million, from \$68.1 million to \$63.2 million. This reduces the balance sheet forecast of retained earnings by a like amount, so the 2007 balance sheet projection for retained earnings would fall by \$4.9 million relative to the value shown in Table 9E-2. Thus, a shortfall of \$4.9 million will still exist as a result of financing feedback effects as shown in Table 9E-4. How will the second-pass shortfall be financed? In MicroDrive s case, 25 percent of the \$4.9 million will be obtained as short-term debt, 25 percent as longterm bonds, and 50 percent as new common stock. Table 9E-4 shows a third-pass balance sheet reflecting the \$4.9 million shortfall. We could create a fourth-pass balance sheet by using this financing mix to add another \$4.9 million to the liabilities and equity side. Would the fourth pass balance? No, because the additional \$4.9 million in capital would require another increase in interest and dividend payments, and this would affect the fourth-pass income statement. There would still be a shortfall, although it would be much 9E-6 Chapter 9 Web Extension: Financing Feedbacks and Alternative Forecasting Techniques

7 19878_09W_p qxd 3/10/06 9:56 AM Page 7 Table 9E-4 MicroDrive Inc.: Actual, First-Pass, Second-Pass, and Third-Pass Projected Balance Sheets (Millions of Dollars) First-Pass Second-Pass Third-Pass Actual Forecast Forecast Forecast Feedback 2007 (1) (3) (5) (6) (7) Assets 1. Cash \$ 10.0 \$ 11.0 \$ 11.0 \$ ST investments Accounts receivable Inventories Total current assets \$1,000.0 \$1,100.0 \$1,100.0 \$1, Net plant and equipment 1, , , , Total assets \$2,000.0 \$2,200.0 \$2,200.0 \$2,200.0 Liabilities and Equity 8. Accounts payable \$ 60.0 \$ 66.0 \$ 66.0 \$ Accruals Notes payable Total current liabilities \$ \$ \$ \$ Long-term bonds Total liabilities \$1,064.0 \$1,084.0 \$1,140.0 \$1, Preferred stock Common stock Retained earnings \$ Total common equity \$ \$ \$1,020.0 \$1, Total liabilities and equity \$2,000.0 \$2,088.1 \$2,200.0 \$2, Required operating assets \$2,200.0 \$2, Specified sources of financing \$2,088.1 \$2, Additional funds needed (AFN) \$ \$ 4.9 Note: Columns (1) and (3), and (5) come from Table 9E-2. smaller than the \$4.9 million shortfall on the third pass. We could continue repeating the process. In each iteration, the additional financing would become smaller and smaller, and after about five iterations, the AFN would be essentially zero. A better way is to use the iteration feature of Excel, as we explain below. Automatic Approach Spreadsheets can be used to automate the balancing process. Excel and other spreadsheets have a feature that causes worksheets to iterate until balancing criteria have been satisfied, thus almost instantly going through enough passes to cause the balance sheet to balance. The file IFM9 Ch09E Tool Kit.xls on the ThomsonNOW Web site illustrates this with MicroDrive. We encourage you to open the file, select the AUTOMATIC FEEDBACK tab, and follow along as we explain how Excel handles the automatic balancing process. As we demonstrated in the last section, adding debt reduces net income, which, in turn, reduces additions to retained earnings, which reduces the amount Chapter 9 Web Extension: Financing Feedbacks and Alternative Forecasting Techniques 9E-7

8 19878_09W_p qxd 3/10/06 9:56 AM Page 8 of internally generated financing, which increases the amount of required external financing from the initially forecasted amount. Then, this second round of financing again reduces the addition to retained earnings, and thus starts the cycle again. However, one can create formulas in the spreadsheet that automatically add the additional financing and the additional interest and dividend payments. This involves a circular reference in which formulas indirectly refer to themselves. Because circular references often are the result of errors, Excel may flash a warning message. However, in our model, we actually want the circular formulas, and we want Excel to automatically iterate through as many balancing passes as it takes to force the balance sheets to balance. To start this process, click Tools Options and then click on the Calculation tab. Then, check the box for Iteration. By default, Excel will automatically go through up to 100 iterations, which is enough to make the balance sheet balance. The end result includes exactly enough new external financing to support the specified growth in assets. Other Techniques for Forecasting Items on Financial Statements The techniques in Chapter 9 assumed that many items on the financial statements were proportional to sales, but that is not true in some situations. In this section we show how to forecast an item when it is not proportional to sales. If we assume that the relationship between a certain type of asset and sales is linear, then we can use simple linear regression techniques to estimate the requirements for that type of asset for any given sales increase. For example, Micro- Drive s sales, inventories, and receivables during the last five years are shown in the lower section of Figure 9E-1, and both of these current asset items are plotted in the upper section as scatter diagrams versus sales. Estimated regression equations, determined using a financial calculator or a spreadsheet, are also shown with each graph. For example, the estimated relationship between inventories and sales (in millions of dollars) is Inventories \$ (Sales) The plotted points are not very close to the regression line, which indicates that changes in inventory are affected by factors other than changes in sales. In fact, the correlation coefficient between inventories and sales is only 0.71, indicating that there is only a moderate linear relationship between these two variables. Still, the regression relationship is strong enough to provide a reasonable basis for forecasting the target inventory level, as described below. We can use the regression relationship between inventories and sales to forecast 2007 inventory levels. Since 2007 sales are projected at \$3,300 million, 2007 inventories should be \$578 million: Inventories \$ (\$3,300) \$578 million This is \$99 million less than the preliminary forecast based on the projected financial statement method. The difference occurs because the projected financial 9E-8 Chapter 9 Web Extension: Financing Feedbacks and Alternative Forecasting Techniques

9 19878_09W_p qxd 3/10/06 9:56 AM Page 9 Figure 9E-1 MicroDrive Inc.: Linear Regression Models (Millions of Dollars) Inventories (\$) Receivables (\$) Inventories = (Sales) Receivables = (Sales) 0 2,000 2,250 2,500 2,750 3,000 Sales (\$) 0 2,000 2,250 2,500 2,750 3,000 Sales (\$) Accounts Year Sales Inventories Receivable 2002 \$2,058 \$387 \$ , , , , statement method assumed that the ratio of inventories to sales would remain constant, when in fact it will probably decline. Note also that although our graphs show linear relationships, we could have easily used a nonlinear regression model had such a relationship been indicated. Chapter 9 Web Extension: Financing Feedbacks and Alternative Forecasting Techniques 9E-9

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