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This chapter discusses extensions to financial statement projection and forecasting financing needs. Topics include the proportional percent of sales method, alternative financing policies, and calculations of interest expense and income.
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Technical Issues in Projecting Financial Statements and Forecasting Financing Needs
Extensions • This chapter describes extensions to: • Projections based on the proportional percent of sales method • Alternative financing policies • Calculations of interest expense and interest income
Extensions to Proportional Percent of Sales Method • Linear with intercept • Non-linear • Lumpy assets
Alternative Financing Policies • Dividend policies • Constant growth • Fixed payout • Residual • Equity issuance and repurchase • Debt as fixed percent of market value
Interest Income and Expense • Based on average levels of debt and short-term investments
2012 2013 2014 2015 2016 Income Statement Net Sales 770 800 840 944 1000 Selling, general & administrative 171 187.0 200 205 215 When Projections Aren’t a Proportional Percentage of Sales • Linear with intercept • SGA = fixed expenses + sales (variable costs % of sales) = a + b(sales)
Estimating a and b • In Excel, use the =INTERCEPT and the =SLOPE functions to find the values of a and b. • Use these values of a and b to project SGA. • SGA = 55.4 + 0.1610(Sales)
SGA = 55.4 + 0.1610(sales) SGA = 0.2252(sales)
Nonlinear Models • Quadratic model • Useful for assets that must increase at a decreasing rate with sales • Often inventory behaves like this
Inventory Example 2009 2010 2011 2012 2013 2014 2015 2016 Sales 50 60 70 80 90 100 110 120 Sales2 2,500 3,600 4,900 6,400 8,100 10,000 12,100 14,400 Inventory 11 13 15 18 20 22 24 25 Using the =LINEST function in Excel, the equation that best fits the inventory and sales data is Inventory = -0.00071(Sales2) + 0.331(Sales) – 4.10
Inventory Example … • Or, alternately, if you used a log fit: • Inventory = -55.8 + 16.9(ln[sales]) • Notice that in the graph on the next slide, the quadratic and the log projections agree quite closely through sales levels of 225 or so, but diverge rapidly after that.
Comparison with Linear Models • The linear and nonlinear models agree on the fitted data through 2016, but disagree in their projections. • The choice of which to use—a linear model or a nonlinear model—depends on how you really expect the asset (in this case, inventory) to grow as the firm grows.
Lumpy Assets • Not all assets can be purchased or acquired in bits and pieces. • For example, usually an entire plant must be built at one time—not half a plant one year, and another half several years later.
Net PP&E 350 300 250 Net PP&E Net PP&E 200 150 100 2010 2011 2012 2013 2014 2015 2016 Year
Projecting Lumpy Assets • When there is excess capacity, then assets don’t have to grow very much to support sales. So either: • Input the actual level of assets, or • Choose a ratio of asset/sales, such as Net PPE / Sales, that initially declines (reflecting the fact that the firm won’t have to add assets to support sales), and then has a large increase to reflect the addition of a lumpy asset.
Alternative Dividend Policies • Chapters 6 and 7 assumed a constant growth policy. • Other policies are • Fixed payout ratio policy • Residual dividend policy
Fixed Payout Ratio Policy • Very simple: • Just assume the company will pay out a fixed percent, say 20%, of net income. If net income is less than zero, then the company will pay zero dividend. • Many companies do target a payout ratio—at least over a several-year period. • Produces dividends that are more volatile than a fixed growth rate policy.
Balancing Under the Fixed Payout Ratio Policy • The balance sheet is balanced the same way as in the constant growth dividend policy. • If liabilities are too small, then first marketable securities are sold, and then short term debt is added. • If assets are too small, then first short-term debt is retired, and then short-term investments are added.
Residual Dividend Policy • Under this policy, assets and liabilities are set at their desired levels, and the dividend payment is adjusted to make the balance sheet balance. • In essence, the firm pays out everything it doesn’t need.
Balancing Under the Residual Dividend Policy • First, start out with dividends = 0. • If liabilities are too small, reduce short-term investments to zero. If liabilities are still too small, then add short-term debt until the balance sheet balances.
Balancing when Assets Are Too Small • If assets are too small (so liabilities are too big) then first reduce short-term debt to zero. If assets are still too small, then instead of sticking the excess cash in short-term investments, pay out the excess as a dividend. • So, instead of accumulating marketable securities when it has excess cash, the firm will pay dividends.
Residual Dividend Policy • The residual dividend policy will result in more volatile dividends than the constant growth policy or the fixed payout ratio policy.
Dividends in Practice • Management tries to avoid negative “surprises” from reducing dividends. • Try to set a stable policy that can be maintained from year-to-year. • Many firms use residual model to estimate dividends over next five-year period, then base growth rate on these results.
Stock Repurchases • Impact is similar to a dividend, but with some differences: • Dividends reduce equity by reducing retained earnings. • Repurchases reduce equity by reducing “common stock at par value and paid in capital.”
Repurchases • Repurchases do not create or destroy value • The cash distributed is a reduction in equity value • Pre-repurchase value of firm = post-repurchase value + cash distributed to shareholders
Repurchases • As for projections, the only complicated issue is how many shares will remain after the repurchase. If • Ppre is the stock price before the repurchase, and Npre shares before, and • Ppost is the stock price after the repurchase, and Npost shares after, and • R is the dollar amount repurchased then
Repurchases • NpostPpost = PpreNpre - R • If used in a valuation model, it is often easier to write this as (VE is value of equity as calculated in valuation spreadsheet): Npost = Npre[ VEpost/(VEpost + R) ]
Repurchases • The choice of how to distribute cash to shareholders—either through dividends or repurchases—doesn’t influence the current intrinsic stock price. • However, the future stock prices will be higher with repurchases relative to dividend payments, since the number of shares of stock fall. • But future wealth of shareholders is the same whether firm distributes cash as dividends or repurchases.
Issuing New Common Equity • This is the reverse of a repurchase. If R is the amount the company raises in an equity issue, and Ppre is the price before the issue, and Ppost is the price after the issue then: NpostPpost = Ppre Npre + R
Debt as a Proportion of Market Value • Finance theory says companies should use market values rather than book values to choose debt levels. • In the last chapter, we projected debt as a percent of operating capital because we hadn’t yet determined the value of the company.
Steps for Using Market Value Weights for Debt • Decide on the target percentage, wD. • Make your operating projections, including taxes on operating profits. • Project NOPAT, investment in operating capital, and FCF. Use these to calculate the value of operations in each year. • Set long-term debt to be the specified percent of the value of operations—and make the financial statements balance using one of the dividend policies we discussed.
Interest Expense Based on Average Debt During Year • In the last chapter, interest expense was based on the beginning of year debt level • This will underestimate interest expense when the debt level is growing, as it will for most stable, growing firms.
Interest Expense… • Interest expense based on the average of the end-of-year and beginning-of-year debt levels will give a better estimate of the interest the firm will actually pay. • However, this results in interdependencies between the debt level and net income.
Interdependencies—When Interest Expense Is Based on Current Year’s Debt • Net income depends on interest expense. • Interest expense depends on debt. • Debt depends on required financing. • Required financing depends on retained earnings. • Retained earnings depends on net income. • Net income depends on interest expense…
Interdependencies • This gives rise to a circular reference when formulas for interest expense as a function of the current year-end debt, or the average of the beginning and ending debt levels, is programmed into a spreadsheet.
Circularity • Fortunately, Excel can resolve the circularity by iterating. • Make sure your spreadsheet will automatically iterate: Tools, Options, Iteration, then check box.