# Chapter 14. Web Extension: Financing Feedbacks and Alternative Forecasting Techniques

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1 Chapter 14 Web Extension: Financing Feedbacks and Alternative Forecasting Techniques I n Chapter 14 we forecasted financial statements under the assumption that the firm s interest expense can be estimated as the product of the prior year s interestbearing 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. 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 14E-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 2004 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 14E-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. Forecast the First-Pass Income Statement

2 14E-2 Chapter 14 Web Extension: Financing Feedbacks and Alternative Forecasting Techniques Table 14E-1 MicroDrive Inc.: Actual and First-Pass Projected Income Statements (Millions of Dollars Except Per Share Data) First-Pass Actual Forecast 2004 Forecast Basis 2005 (1) (2) (3) 1. Sales \$3, % 2004 Sales \$3, Costs except depreciation 2, % 2005 Sales 2, Depreciation % 2005 Net plant Total operating costs \$2,716.2 \$2, EBIT \$ \$ Less interest 88.0 Carry over from previous year Earnings before taxes (EBT) \$ \$ Taxes (40%) Net income before preferred dividends \$ \$ Preferred dividends 4.0 Carry over from previous year Net income available to common \$ \$ Shares of common equity Dividends per share \$ % 2004 DPS \$ Dividends to common \$ 57.5 DPS Number of shares \$ Additions to retained earnings \$ 56.0 \$ 68.1 FM e-resource See FM11 Ch 14E Tool Kit.xls for details. 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 2005, 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 2004 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. 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. Forecast the First-Pass Balance Sheet The assets shown on Micro- Drive 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 14E-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 2004 was percent. MicroDrive s net plant and equipment have grown fairly steadily in the past, and its managers expect similar future growth.

3 Chapter 14 Web Extension: Financing Feedbacks and Alternative Forecasting Techniques 14E-3 Table 14E-2 MicroDrive Inc.: Actual, First-Pass, and Second-Pass Projected Balance Sheets (Millions of Dollars) First-Pass Second-Pass Actual Forecast Forecast Forecast 2004 Basis 2005 AFN 2005 (1) (2) (3) (4) (5) Assets 1. Cash \$ % 2004 Sales \$ 11.0 \$ Short-term investments 0.0 Carry over from previous year 0.0 \$ Accounts receivable % 2005 Sales Inventories % 2005 Sales Total current assets \$1,000.0 \$1,100.0 \$1, Net plant and equipment 1, % 2005 Sales 1, , Total assets \$2,000.0 \$2,200.0 \$2,200.0 Liabilities and Equity 8. Accounts payable \$ % 2005 Sales \$ 66.0 \$ Accruals % 2005 Sales Notes payable Carry over from previous year Total current liabilities \$ \$ \$ Long-term bonds Carry over from previous year Total liabilities \$1,064.0 \$1,084.0 \$1, Preferred stock 40.0 Carry over from previous year Common stock Carry over 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) \$ Once the individual asset accounts have been forecasted, they can be summed to complete the asset section of the first-pass balance sheet. For MicroDrive, the total current assets forecasted are \$11 \$0 \$412 \$677 \$1,100 million, and fixed assets add another \$1,100 million. Therefore, as Table 14E-2 shows, MicroDrive will need a total of \$2,200 million in assets to support \$3,300 million of sales. If assets are to increase, liabilities and equity must also increase the additional assets must be financed. For MicroDrive, the most recent ratio of accounts payable to sales was 2 percent. Its managers assume that the payables policy will not change. The most recent ratio of accruals to sales was 4.67 percent, and this ratio is expected to stay the same. Retained earnings will also increase, but not at the same rate as sales: The new amount of retained earnings will be the old amount plus the addition to retained earnings, which we calculated earlier. Also, notes payable, long-term bonds, preferred stock, and common stock will not rise spontaneously with sales rather, the projected levels of these accounts will depend on financing decisions, as we discuss later. In summary, (1) higher sales must be supported by additional assets, (2) some of the asset increases will be financed by spontaneous increases in accounts payable and accruals, and by retained earnings, but (3) any shortfall must be financed from external sources, using some combination of debt, preferred stock, and common stock.

4 14E-4 Chapter 14 Web Extension: Financing Feedbacks and Alternative Forecasting Techniques FM e-resource See FM11 Ch 14E Tool Kit.xls for details. The spontaneously increasing liabilities (accounts payable and accruals) are forecasted and shown in Column 3 of Table 14E-2, the first-pass forecast. Then, those liability and equity accounts whose values reflect conscious management decisions notes payable, long-term bonds, preferred stock, and common stock are initially set at their 2004 levels. Thus, 2005 notes payable are initially set at \$110 million, the long-term bond account is forecasted at \$754 million, and so on. The 2005 value for the retained earnings (RE) account is obtained by adding the projected addition to retained earnings as developed in the 2005 income statement (see Table 14E-1) to the 2004 ending balance: 2005 RE 2004 RE 2005 forecasted addition to RE \$766 \$68.1 \$834.1 million. The forecast of total assets as shown in Column 3 (first-pass forecast) of Table 14E-1 is \$2,200 million, which indicates that MicroDrive must add \$200 million of new assets in 2005 to support the higher sales level. However, the forecasted liability and equity accounts as shown in the lower portion of Column 3 rise by only \$88.1 million, to \$2,088.1 million. Therefore, MicroDrive must raise an additional \$2,200 \$2,088.1 \$111.9 million, which we define as Additional Funds Needed (AFN). The AFN will be raised by some combination of borrowing from the bank as notes payable, issuing long-term bonds, and issuing new common stock. Raising the Additional Funds Needed MicroDrive s financial staff will decide how to raise the needed funds based on several factors, including the firm s target capital structure, the effect of short-term borrowing on the current ratio, conditions in the debt and equity markets, and restrictions imposed by existing 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 14E-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. 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.

5 Chapter 14 Web Extension: Financing Feedbacks and Alternative Forecasting Techniques 14E-5 Table 14E-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 2005 (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 14E-1. 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 14E-3. Also notice that taxes and net income fall due to the now-higher interest charges. The financing plan also calls for issuing \$55.9 million of new common stock. MicroDrive s stock price was \$23 at the end of 2004, 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 2005 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 2 Notice that these rates are slightly lower than the rates used in Chapter 14. The approach in Chapter 14 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.

6 14E-6 Chapter 14 Web Extension: Financing Feedbacks and Alternative Forecasting Techniques 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 2005 balance sheet projection for retained earnings would fall by \$4.9 million relative to the value shown in Table 14E-2. Thus, a shortfall of \$4.9 million will still exist as a result of financing feedback effects as shown in Table 14E-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 long-term bonds, and 50 percent as new common stock. Table 14E-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 Table 14E-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 2005 (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), (3), and (5) come from Table 14E-2.

7 Chapter 14 Web Extension: Financing Feedbacks and Alternative Forecasting Techniques 14E-7 FM e-resource income statement. There would still be a shortfall, although it would be much 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 FM11 Ch 14E Tool Kit.xls on the textbook s 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 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 14 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, MicroDrive s sales, inventories, and receivables during the last five years are shown in the lower section of Figure 14E-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.

8 14E-8 Chapter 14 Web Extension: Financing Feedbacks and Alternative Forecasting Techniques Figure 14E-1 Inventories (\$) MicroDrive Inc.: Linear Regresson Models (Millions of Dollars) 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 (\$) Year Sales Inventories Accounts Receivable 2000 \$2,058 \$387 \$ , , , , We can use the regression relationship between inventories and sales to forecast 2005 inventory levels. Since 2004 sales are projected at \$3,300 million, 2005 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 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.

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