Inscrivez-vous ou connectez-vous pour rejoindre votre communauté professionnelle.
This will depend on specific facts and circumstances. Generally there isn't a clear cut answer. However, with that said, a few things need to be considered in valuing the shareholder's share in the company. Does the shareholder own 50% or more, or less than 50% of the company? In other words, does the shareholder have majority control of the company or is he simply minority owner? Is the company publicly traded or privately held?
If the shareholder who is leaving owns more than 50% of the company, then the common method is to find the fair market value of the company through the applicable methods such as the income method, the market method etc, and to give to that shareholder a proportion equal to the percentage of the shares he owns. For example if one owns 55% of a company which is worth one million dollars, then by selling his share, he will get 55% of the million.
If, however, the shareholder who is exiting the business owns less than 50% of the company, in other words he is minority owner, the procedure is different. In this case the shareholder will no get a value equal to the percentage he owns. In other words, if one wants to exit and owns 30% of a company worth 1 million dollars, he will not get 300 thousand dollars. This happens because in such cases there are two important concepts involved - the discount for lack of marketability, and the discount for lack of control. The discount for lack of marketability would apply if the company is privately held while the discount for lack of control would apply regardless of the status of the company private or public.
The logic behind the discount for lack of marketability is that for a privately held business, there isn't a ready market for its shares to be sold. The transaction for the sale of a private business is time consuming. Therefore, if one wants to sell it quickly, he will have to do so at a fairly big discount which commonly exceeds 30% of the total value.
The logic for the discount for lack of control also is pretty convincing. A shareholder who doesn't have control of the company (in other words owns less than 50%), doesn't have a say on the decisions of the business and how the company's assets are used.
well. there are companies and consultants whom businesses are valuing private company and there are multi exam professional certifications. in some countries, only certified valuers can legally do that.
there are three main approaches:
- asset based: used when the company is expected to be liquidated or the other two method gives lower value. the idea of this approach is to valuate how much the assets worth piece by piece in the market.
example: a compay losing money and has building and factory. the building price in the market is 1000M and the factory equipment market value is 150M. the company has inventory of 20M, A/R of 100M A/P of 50M no cash. the inventory can be sold at 50%, other working capital numbers can be liquidated at its book value. liquidation cost is 10% of the company value> the company value: [1000M+150M+(20M*50%)+100M-50M] * 90%=1179M.
- market based: take the market ratio(e.g. P/E ratio or EV/EBITDA) and apply it to your company. notice that it needs to detailed analysis to find a similar company or to use an industry average. pay attention to the debt ration in each company to ensure comparability or do the necessary adjustment. this is usually easier than the other two approaches and the most used by equity researches.
example: a similar company in all aspects' P/E value is 8. the company's net profit is 10M. the company value is : 8*10M =80M
- earning based: using the free cash flow and developing a discount rate adjusted for growth, country risk, currency risk, industry risk, company risk , diversification risk , etc. this is the most complex and most loved by academics.
the company's free cash flow is 100M the discount rate is 17% and the growth is 3% annually. the companies value: 100M/(17%-3%)= 714M
note: very risky company (e.g. start-ups or a patent company) use either high discount rate (for example 50%) or compared to options since it has the characters of an option
Methods of share Valuation
What is my company worth? What are the ratios used by analysts to determine whether a stock is undervalued or overvalued? How valid is the discounted present value approach? How can one value a company as a going concern, and how does this change in the context of a potential acquisition, or when the company faces financial stress? Finding a value for a company is no easy task -- but doing so is an essential component of effective management. The reason: it's easy to destroy value with ill-judged acquisitions, investments or financing methods. This article will take readers through the process of valuing a company, starting with simple financial statements and the use of ratios, and going on to discounted free cash flow and option-based methods. How a business is valued depends on the purpose, so the most interesting part of implementing these methods will be to see how they work in different contexts -- such as valuing a private company, valuing an acquisition target, and valuing a company in distress. We'll learn how using the tools of valuation analysis can inform management choices.Outline
Asset-Based Methods Asset-based methods start with the "book value" of a company's equity. This is simply the value of all the company's assets, less its debt. Whether it's tangible things like cash, current assets, working capital and shareholder's equity, or intangible qualities like management or brand name, equity is everything that a company has if it were to suddenly stop selling products and stop making money tomorrow, and pay off all its creditors.
The Balance Sheet: Cash & Working Capital Like to buy a dollar of assets for a dollar in market value? Ben Graham did. He developed one of the premier screens for ferreting out companies with more cash on hand than their current market value. First, Graham would look at a company's cash and equivalents and short-term investments. Dividing this number by the number of shares outstanding gives a quick measure that tells you how much of the current share price consists of just the cash that the company has on hand. Buying a company with a lot of cash can yield a lot of benefits -- cash can fund product development and strategic acquisitions and can pay high-caliber executives. Even a company that might seem to have limited future prospects can offer tremendous promise if it has enough cash on hand. Another measure of value is a company's current working capital relative to its market capitalization. Working capital is what is left after you subtract a company's current liabilities from its current assets . Working capital represents the funds that a company has ready access to for use in conducting its everyday business. If you buy a company for close to its working capital, you have essentially bought a dollar of assets for a dollar of stock price -- not a bad deal, either. Just as cash funds all sorts of good things, so does working capital.
Shareholder's Equity & Book ValueShareholder's equity is an accounting convention that includes a company's liquid assets like cash, hard assets like real estate, as well as retained earnings. This is an overall measure of how much liquidation value a company has if all of its assets were sold off -- whether those assets are office buildings, desks, old T-shirts in inventory or replacement vacuum tubes for ENIAC systems. Shareholder equity helps you value a company when you use it to figure out book value. Book value is literally the value of a company that can be found on the accounting ledger. To calculate book value per share, take a company's shareholder's equity and divide it by the current number of shares outstanding. If you then take the stock's current price and divide by the current book value, you have the price-to-book ratio . Book value is a relatively straightforward concept. The closer to book value you can buy something at, the better it is. Book value is actually somewhat skeptically viewed in this day and age, since most companies have latitude in valuing their inventory, as well as inflation or deflation of real estate depending on what tax consequences the company is trying to avoid. However, with financial companies like banks, consumer loan concerns, brokerages and credit card companies, the book value is extremely relevant. For instance, in the banking industry, takeovers are often priced based on book value, with banks or savings & loans being taken over at multiples of between 1.7 to 2.0 times book value. Another use of shareholder's equity is to determine return on equity , or ROE. Return on equity is a measure of how much in earnings a company generates in four quarters compared to its shareholder's equity. It is measured as a percentage. For instance, if XYZ Corp. made a million dollars in the past year and has a shareholder's equity of ten million, then the ROE is 10%. Some use ROE as a screen to find companies that can generate large profits with little in the way of capital investment. Coca Cola, for instance, does not require constant spending to upgrade equipment -- the syrup-making process does not regularly move ahead by technological leaps and bounds. In fact, high ROE companies are so attractive to some investors that they will take the ROE and average it with the expected earnings growth in order to figure out a fair multiple. This is why a pharmaceutical company like Merck can grow at 10% or so every year but consistently trade at 20 times earnings or more.
Intangibles Brand is the most intangible element to a company, but quite possibly the one most important to a company's ability as an ongoing concern. If every single McDonald's restaurant were to suddenly disappear tomorrow, the company could simply go out and get a few loans and be built back up into a world power within a few months. What is it about McDonald's that would allow it to do this? It is McDonald's presence in our collective minds -- the fact that nine out of ten people forced to name a fast food restaurant would name McDonald's without hesitating. The company has a well-known brand and this adds tremendous economic value despite the fact that it cannot be quantified. Some investors are preoccupied by brands, particularly brands emerging in industries that have traditionally been without them. The genius of Ebay and Intel is that they have built their company names into brands that give them an incredible edge over their competition. A brand is also transferable to other products -- the reason Microsoft can contemplate becoming a power in online banking, for instance, is because it already has incredible brand equity in applications and operating systems. It is as simple as Reese's Peanut Butter cups transferring their brand onto Reese's Pieces, creating a new product that requires minimum advertising to build up. The real trick with brands, though, is that it takes at least competent management to unlock the value. If a brand is forced to suffer through incompetence, such as American Express in the early 1990s or Coca-Cola in the early 1980s, then many can become skeptical about the value of the brand, leading them to doubt whether or not the brand value remains intact. The major buying opportunities for brands ironically comes when people stop believing in them for a few moments, forgetting that brands normally survive even the most difficult of short-term traumas. Intangibles can also sometimes mean that a company's shares can trade at a premium to its growth rate. Thus a company with fat profit margins, a dominant market share, consistent estimate-beating performance or a debt-free balance sheet can trade at a slightly higher multiple than its growth rate would otherwise suggest. Although intangibles are difficult to quantify, it does not mean that they do not have a tremendous power over a company's share price. The only problem with a company that has a lot of intangible assets is that one danger sign can make the premium completely disappear
IBM Balance Sheet
Assets $Mil Cash 5,216.6 Other Current Assets 32,099.4 Long-Term Assets 46,640.0 Total 83,956.0 Liabilities and Equity $Mil Current Liabilities 30,239.0 Long-Term Liabilities 31,625.0 Shareholders' Equity 22,092.0 Total 83,956.0The Piecemeal Company Finally, a company can sometimes be worth more divided up rather than all in one piece. This can happen because there is a hidden asset that most people are not aware of, like land purchased in the 1980s that has been kept on the books at cost despite dramatic appreciation of the land around it, or simply because a diversified company does not produce any synergies. Sears, Dean Witter Discover and Allstate are all worth a heck of a lot more broken apart as separate companies than they ever were when they were all together. Keeping an eye out for a company that can be broken into parts worth more than the whole makes sense, especially in this day and age when so many conglomerates are crumbling into their component parts.
Using Comparables
The most common way to value a company is to use its earnings. Earnings, also called net income or net profit, is the money that is left over after a company pays all of its bills. To allow for apples-to-apples comparisons, most people who look at earnings measure them according to earnings per share (EPS). You arrive at the earnings per share by simply dividing the dollar amount of the earnings a company reports by the number of shares it currently has outstanding. Thus, if XYZ Corp. has one million shares outstanding and has earned one million dollars in the past 12 months, it has a trailing EPS of $1.00. (The reason it is called a trailing EPS is because it looks at the last four quarters reported -- the quarters that trail behind the most recent quarter reported.
$1,000,000 -------------- = $1.00 in earnings per share (EPS) 1,000,000 sharesThe earnings per share alone means absolutely nothing, though. To look at a company's earnings relative to its price, most investors employ the price/earnings (P/E) ratio. The P/E ratio takes the stock price and divides it by the last four quarters' worth of earnings. For instance, if, in our example above, XYZ Corp. was currently trading at $15 a share, it would have a P/E of 15.
$15 share price---------------------------= 15 P/E$1.00 in trailing EPSIs the P/E the Holy Grail? There is a large population of individual investors who stop their entire analysis of a company after they figure out the trailing P/E ratio. With no regard to any other form of valuation, this group of unFoolish investors blindly plunge ahead armed with this one ratio, purposefully ignoring the vagaries of equity analysis. Popularized by Ben Graham (who used a number of other techniques as well as low P/E to isolate value), the P/E has been oversimplified by those who only look at this number. Such investors look for "low P/E" stocks. These are companies that have a very low price relative to their trailing earnings. Also called a "multiple", the P/E is most often used in comparison with the current rate of growth in earnings per share. The Foolish assumption is that for a growth company, in a fairly valued situation the price/earnings ratio is about equal to the rate of EPS growth. In our example of XYZ Corp., for instance, we find out that XYZ Corp. grew its earnings per share at a 13% over the past year, suggesting that at a P/E of 15 the company is pretty fairly valued. Fools believe that P/E only makes sense for growth companies relative to the earnings growth. If a company has lost money in the past year or has suffered a decrease in earnings per share over the past twelve months, the P/E becomes less useful than other valuation methods we will talk about later in this series. In the end, P/E has to be viewed in the context of growth and cannot be simply isolated without taking on some significant potential for error.
Are Low P/E Stocks Really a Bargain? With the advent of computerized screening of stock databases, low P/E stocks that have been mispriced have become more and more rare. When Ben Graham formulated many of his principles for investing, one had to search manually through pages of stock tables in order to ferret out companies that had extremely low P/Es. Today, all you have to do is punch a few buttons on an online database and you have a list as long as your arm. This screening has added efficiency to the market. When you see a low P/E stock these days, more often than not it deserves to have a low P/E because of its questionable future prospects. As intelligent investors value companies based on future prospects and not past performance, stocks with low P/Es often have dark clouds looming in the months ahead. This is not to say that you cannot still find some great low P/E stocks that for some reason the market has simple overlooked -- you still can and it happens all the time. Rather, you need to confirm the value in these companies by applying some other valuation techniques.
The Price-to-Sales Ratio
Every time a company sells a customer something, it is generating revenues. Revenues are the sales generated by a company for peddling goods or services. Whether or not a company has made money in the last year, there are always revenues. Even companies that may be temporarily losing money, have earnings depressed due to short-term circumstances (like product development or higher taxes), or are relatively new in a high-growth industry are often valued off of their revenues and not their earnings. Revenue-based valuations are achieved using the price/sales ratio, often simply abbreviated PSR. The price/sales ratio takes the current market capitalization of a company and divides it by the last 12 months trailing revenues. The market capitalization is the current market value of a company, arrived at by multiplying the current share price times the shares outstanding. This is the current price at which the market is valuing the company. For instance, if our example company XYZ Corp. has ten million shares outstanding, priced at $10 a share, then the market capitalization is $100 million. Some investors are even more conservative and add the current long-term debt of the company to the total current market value of its stock to get the market capitalization. The logic here is that if you were to acquire the company, you would acquire its debt as well, effectively paying that much more. This avoids comparing PSRs between two companies where one has taken out enormous debt that it has used to boast sales and one that has lower sales but has not added any nasty debt either.
Market Capitalization = (Shares Outstanding * Current Share Price) + Current Long-term Debt The next step in calculating the PSR is to add up the revenues from the last four quarters and divide this number into the market capitalization. Say XYZ Corp. had $200 million in sales over the last four quarters and currently has no long-term debt. The PSR would be:
(10,000,000 shares * $10/share) + $0 debtPSR = ----------------------------------------- = 0.5 $200 million revenuesThe PSR is a measurement that companies often consider when making an acquisition. If you have ever heard of a deal being done based on a certain "multiple of sales," you have seen the PSR in use. As this is a perfectly legitimate way for a company to value an acquisition, many simply expropriate it for the stock market and use it to value a company as an ongoing concern.
Uses of the PSR The PSR is often used when a company has not made money in the last year. Unless the corporation is going out of business, the PSR can tell you whether or not the concern's sales are being valued at a discount to its peers. If XYZ Corp. lost money in the past year, but has a PSR of 0.50 when many companies in the same industry have PSRs of 2.0 or higher, you can assume that, if it can turn itself around and start making money again, it will have a substantial upside as it increases that PSR to be more in line with its peers. There are some years during recessions, for example, when none of the auto companies make money. Does this mean they are all worthless and there is no way to compare them? Nope, not at all. You just need to use the PSR instead of the P/E to measure how much you are paying for a dollar of sales instead of a dollar of earnings. Another common use of the PSR is to compare companies in the same line of business with each other, using the PSR in conjunction with the P/E in order to confirm value. If a company has a low P/E but a high PSR, it can warn an investor that there are potentially some one-time gains in the last four quarters that are pumping up earnings per share. Finally, new companies in hot industries are often priced based on multiples of revenues and not multiples of earnings.
What Level of the Multiple is Right? Multiples may be helpful for comparing two compnies, but which multiples is right? Many look at estimated earnings and estimate what "fair" multiple someone might pay for the stock. For example, if XYZ Corp. has historically traded at about 10 times earnings and is currently down to 7 times earnings because it missed estimates one quarter, it would be reasonable to buy the stock with the expectation that it will return to its historic 10 times multiple if the missed quarter was only a short-term anomaly. When you project fair multiples for a company based on forward earnings estimates, you start to make a heck of a lot of assumptions about what is going to happen in the future. Although one can do enough research to make the risk of being wrong as marginal as possible, it will always still exist. Should one of your assumptions turn out to be incorrect, the stock will probably not go where you expect it to go. That said, most of the other investors and companies out there are using this same approach, making their own assumptions as well, so, in the worst-case scenario, at least you won't be alone. A modification to the multiple approach is to determine the relationship between the company's P/E and the average P/E of the S&P 500. If XYZ Corp. has historically traded at 150% of the S&P 500 and the S&P is currently at 10, many investors believe that XYZ Corp. should eventually hit a fair P/E of 15, assuming that nothing changes. The trouble is, things do change.
Key Valuation Ratios for IBM (April 2003)
Price Ratios Company Industry S&P 500Current P/E Ratio 38.2 116.7 34.9 P/E Ratio 5-Year High 61.4 184.5 64.2 P/E Ratio 5-Year Low 14.5 9.6 25.7 Price/Sales Ratio 1.67 1.28 1.29 Price/Book Value 5.95 2.83 2.67 Price/Cash
Free Cash Flows Methods
Despite the fact that most individual investors are completely ignorant of cash flow, it is probably the most common measurement for valuing public and private companies used by investment bankers. Cash flow is literally the cash that flows through a company during the course of a quarter or the year after taking out all fixed expenses. Cash flow is normally defined as earnings before interest, taxes, depreciation and amortization (EBITDA). Why look at earnings before interest, taxes, depreciation and amortization? Interest income and expense, as well as taxes, are all tossed aside because cash flow is designed to focus on the operating business and not secondary costs or profits. Taxes especially depend on the vagaries of the laws in a given year and actually can cause dramatic fluctuations in earnings power. For instance, Cyberoptics enjoyed a 15% tax rate in 1996, but in 1997 that rate more than doubled. This situation overstates CyberOptics' current earnings and understates its forward earnings, masking the company's real operating situation. Thus, a canny analyst would use the growth rate of earnings before interest and taxes (EBIT) instead of net income in order to evaluate the company's growth. EBIT is also adjusted for any one-time charges or benefits. As for depreciation and amortization, these are called non-cash charges, as the company is not actually spending any money on them. Rather, depreciation is an accounting convention for tax purposes that allows companies to get a break on capital expenditures as plant and equipment ages and becomes less useful. Amortization normally comes in when a company acquires another company at a premium to its shareholder's equity -- a number that it account for on its balance sheet as goodwill and is forced to amortize over a set period of time, according to generally accepted accounting principles (GAAP). When looking at a company's operating cash flow, it makes sense to toss aside accounting conventions that might mask cash strength.
In a private or public market acquisition, the price-to-cash flow multiple is normally in the 6.0 to 7.0 range. When this multiple reaches the 8.0 to 9.0 range, the acquisition is normally considered to be expensive. Some counsel selling companies when their cash flow multiple extends beyond 10.0. In a leveraged buyout (LBO), the buyer normally tries not to pay more than 5.0 times cash flow because so much of the acquisition is funded by debt. A LBO also looks to pay back all the cash used for the buyout within six years, have an EBITDA of 2.0 or more times the interest payments, and have total debt of only 4.5 to 5.0 times the EBITDA.IBM's Income StatementAnnual Income Statement (Values in Millions) 12/2002 12/2001 Sales 81,186.0 85,866.0 Cost of Sales 46,523.0 49,264.0 Gross Operating Profit 34,663.0 36,602.0 Selling, General & Admin. Expense 23,488.0 22,487.0 Other Taxes 0.0 0.0 EBITDA 11,175.0 14,115.0 Depreciation & Amortization 4,379.0 4,820.0 EBIT 6,796.0 9,295.0 Other Income, Net 873.0 1,896.0 Total Income Avail for Interest Exp. 7,669.0 11,191.0 Interest Expense 145.0 238.0 Pre-tax Income 7,524.0 10,953.0 Income Taxes 2,190.0 3,230.0 Total Net Income 3,579.0 7,723.0 Free Cash Flow goes one step further. A company cannot drain all its cash flow -- to survive and grow is must invest in capital and hold enough inventory and receivables to support its customers. So after adding back in the non-cash items, we subtract out new capital expenditures and additions to working capital. A bare-bones view of IBM's free cash flows is given below.IBM: Free Cash FlowsFiscal year-end: December TTM = Trailing 12 Months 1999 2000 2001 TTM Operating Cash Flow 10,111 9,274 14,265 14,615 - Capital Spending 5,959 5,616 5,660 5,083 = Free Cash Flow 4,152 3,658 8,605 9,532 How to Use Cash Flow Cash flow is the only method that makes sense in many situations. For example, it is commonly used to value industries that involve tremendous up-front capital expenditures and companies that have large amortization burdens. Cable TV companies like Time-Warner Cable and TeleCommunications have reported negative earnings for years due to the huge capital expense of building their cable networks, even though their cash flow has actually grown. This is because huge depreciation and amortization charges have masked their ability to generate cash. Sophisticated buyers of these properties use cash flow as one way of pricing an acquisition, thus it makes sense for investors to use it as well. It is also commonly used method in venture capital financings because it focuses on what the venture investor is actually buying, a piece of the future operations of the company. Its focus on future cash flows also coincides nicely with a critical concern of all venture investors, the company's ability to sustain its future operations through internally generated cash flow.
The premise of the discounted free cash flow method is that company value can be estimated by forecasting future performance of the business and measuring the surplus cash flow generated by the company. The surplus cash flows and cash flow shortfalls are discounted back to a present value and added together to arrive at a valuation. The discount factor used is adjusted for the financial risk of investing in the company. The mechanics of the method focus investors on the internal operations of the company and its future.
The discounted cash flow method can be applied in six distinct steps. Since the method is based on forecasts, a good understanding of the business, its market and its past operations is a must. The steps in the discounted cash flow method are as follows:
Develop debt free projections of the company's future operations. This is clearly the critical element in the valuation. The more closely the projections reflect a good understanding of the business and its realistic prospects, the more confident investors will be with the valuation its supports.
Quantify positive and negative cash flow in each year of the projections. The cash flow being measured is the surplus cash generated by the business each year. In years when the company does not generate surplus cash, the cash shortfall is measured. So that borrowings will not distort the valuation, cash flow is calculated as if the company had no debt. In other words, interest charges are backed out of the projections before cash flows are measured.
Estimate a terminal value for the last year of the projections. Since it is impractical to project company operations out beyond three to five years in most cases, some assumptions must be made to estimate how much value will be contributed to the company by the cash flows generated after the last year in the projections. Without making such assumptions, the value generated by the discounted cash flow method would approximate the value of the company as if it ceased operations at the end of the projection period. One common and conservative assumption is the perpetuity assumption. This assumption assumes that the cash flow of the last projected year will continue forever and then discounts that cash flow back to the last year of the projections.
Determine the discount factor to be applied to the cash flows. One of the key elements affecting the valuation generated by this method is the discount factor chosen. The larger the factor is, the lower the valuation it will generate. This discount factor should reflect the business and investment risk involved. The less likely the company is to meet its projections, the higher the factor should be. Discount factors used most often are a compromise between the cost of borrowing and the cost of equity investment. If the cost of borrowed money is 10% and equity investors want 30% for their funds, the discount factor would be somewhere in between -- in fact, the weighted-average cost of capital.
Apply the discount factor to the cash flow surplus and shortfall of each year and to the terminal value. The amount generated by each of these calculations will estimate the present value contribution of each year's future cash flow. Adding these values together estimates the company's present value assuming it is debt free.
Subtract present long term and short term borrowings from the present value of future cash flows to estimate the company's present value.
The following table illustrates the computations made in the discounted cash flow method. The chart assumes a discount factor of 13% (IBM's estimated weighted-average cost of capital) and uses the growing perpetuity assumption to generate a residual value for the cash flows after the fifth year.
Valuation for IBM2-stage growth model Stage 1 10% growth Stage 2 5.7% growth End of year 2002 2003 2004 2005 2006 2007 2008 Revenue 81.2 89.32 98.252 108.0772 118.8849 130.7734 138.2275 -Expenses -67.99 -74.789 -82.2679 -90.4947 -99.5442 -109.499 -115.74 -Depreciation -4.95 -5.445 -5.9895 -6.58845 -7.2473 -7.97202 -6.9413 EBIT 8.26 9.086 9.9946 10.99406 12.09347 13.30281 15.5462 EBIT(1-t) 5.9 6.49 7.139 7.8529 8.63819 9.502009 11.10443 +Depreciation 4.95 5.445 5.9895 6.58845 7.247295 7.972025 6.941298 -CapEx -4.31 -4.741 -5.2151 -5.73661 -6.31027 -6.9413 -6.9413 -Change in WC -0.9 -0.99 -1.089 -1.1979 -1.31769 -1.44946 -1.53208 FCFF 5.64 6.204 6.8244 7.50684 8.257524 9.083276 9.572354 235.2537 Total 6.204 6.8244 7.50684 8.257524 244.3369 PV 5.651872 5.663768 5.67569 5.687636 153.3175 Total PV 175.9964 less debt -61.864 billion Equity value 114.1324 billion divided by 1.69 gives 67.53397 per shareOption-Based Methods
Executives continue to grapple with issues of risk and uncertainty in evaluating investments and acquisitions. Despite the use of net present value (NPV) and other valuation techniques, executives are often forced to rely on instinct when finalizing risky investment decisions. Given the shortcomings of NPV, real options analysis has been suggested as an alternative approach, one that considers the risks associated with an investment while recognizing the ability of corporations to defer an investment until a later period or to make a partial investment instead. In short, investment decisions are often made in a way that leaves some options open. The simple NPV rule does not give the correct conclusion if uncertainty can be “managed.” In acquisitions and other business decisions, flexibility is essential -- more so the more volatile the environment -- and the value of flexibility can be taken into account explicitly, by using the real-options approach.
Financial options are extensively used for risk management in banks and firms. Real or embedded options are analogs of these financial options and can be used for evaluating investment decisions made under significant uncertainty. Real options can be identified in the form of opportunity to invest in a currently available innovative project with an additional consideration of the strategic value associated with the possibility of future and follow-up investments due to emergence of another related innovation in future, or the possibility of abandoning the project.
The option is worth something because the future value of the asset is uncertain. Uncertainty increases the value of the option, because if the uncertainty is interpreted as the variance, there are possibilities to higher profits. The loss on the option is equal to the cost of acquiring it. If the project turns out to be non-profitable, you always have the choice of non-exercising. More and more, the real options approach is finding its place in corporate valuation.
Assignment: Special Applications
What adjustments to the valuation approaches discussed above would have to me made in the following special situations?
