| 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 MethodsUsing ComparablesFree Cash Flow MethodsOption-Based ValuationSpecial Applications 
 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 CapitalLike 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.
 IntangiblesBrand 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 | 83,956.0 |  |  The Piecemeal CompanyFinally, 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 shares
 
  The 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 EPS
 
 Is 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 DebtThe 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 revenues
 
 
  The 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 PSRThe 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
500 |  
              | Current 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 Statement
 
 
          
            
              | Annual 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 Flows
        
          
            
              | Fiscal 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: 
                                      
            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.            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 IBM 2-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 share |  
              | 
 
 
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 Option-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? 
          Valuation in an M&A contextValuation of a company in distressValuation of a company facing corporate financial restructuring.        
 Acknowledgements: some material adapted from fool.com
and growco.com |