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note that these are accounting-based measures of return and volatility, which is all we can do with a privately held firm The returns and standard deviation of returns described in 5 are for publicly held firms, and those returns are cash returns dividends and capital gains on stock prices Those are not accounting-based returns and volatilities) Table 93, below, is identical to Table 92, with one assumption changed Variable expenses are 85 percent (B32) instead of 75 percent Note that in the Worst Case Scenario, Firm B has a $40,000 loss (I24), and its return is 20 percent (I25), while Firm A has net income of $600,000 (H24) and an ROE of 60 percent (H25) Therefore, the presence of debt lowers ROE below that of the debt-free firm (Firm A) if the scenario is bad enough In Table 94, below, we raise variable expenses to 90 percent (B32) of sales, and the ROEs are identical in the Second Best Case (D25, E25), while Firm A has superior results in the bottom two scenarios (F25 G25 and H25 I25) Note in the summary sections of Tables 93 and 94 that Firm B s standard deviation (volatility) of returns is still 50 (D29) times that of Firm A, but the ratio of their ROEs declines to 20 and 04 (D28), respectively Thus, the high leverage in Table 94 is obviously a bad choice, as expected return for the leveraged Firm B is only 40 percent (D28) that of the debt-free Firm A, while its volatility is five times as much In Tables 92 and 93, the trade-offs are less obvious The optimal amount of debt is a subject of academic research and is beyond the scope of this book A professional valuator should be helpful in making your choice It is important to note that for simplicity, we did not consider the tax savings of paying interest expense That would have increased the return from leverage, since the government is essentially subsidizing part of the cost of the debt, which it does not do for capital A little bit of debt does lower the cost of capital and raise returns, as long as you are able to make productive use of the money At some point, though, the benefits of debt diminish and the cost of debt rises Summarizing this discussion, the presence of debt, also known as financial leverage, usually causes expected returns to rise, unless there is too much debt, in which it case it causes.

Some programmers don t like the combined assignment and test for a nonzero value. Instead, they write their init methods like this:

theImageView outlet to the UIImageView Connect the changeImage action to the Next button Save your changes

12 Run the application in iPhone Simulator, as shown in Figures 16-5 and 16-6

self = [super init]; if (self) { .... } return (self);

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expected returns to decline The presence of debt always causes volatility to rise Since volatility is risk, the more debt, the more risk Thus, debt increases the risk of your firm As an aside, if you are comparing publicly traded firms, it s important to remember the effect of financial leverage on volatility The volatility of earnings and returns are the sum of business and financial risk Those readers who invest in the stock market are familiar with beta, from the Capital Asset Pricing Model (CAPM), which we discussed earlier in the book Beta is a measure of the volatility of a particular stock relative to the volatility of the market The presence of debt raises the beta of the stock, which is known as the equity beta Some researchers will also provide an asset beta of the stock, which is the beta of the stock with the effect of debt removed, ie, assuming the firm is debt-free Comparing asset betas of two firms in the same industry is much more of an apples-to-apples comparison than comparing two equity betas

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