viernes, 2 de marzo de 2012

Valuation of an Acquisition Using Real Options

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Valuation of an Acquisition Using Real Options

Intel is considering the purchase of Hannover-Ceramics, Inc., a firm that has just patented a replacement for the silicon wafer, the arsenicon-dithurate wafer.  As a result, Intel estimates that it will be able to manufacture a new generation of processor, with speeds upwards of 250 gigabytes.  However, the current production method calls for the use of amenocebic acid, a naturally occurring substance with a cost of  $200 per ounce.  Each wafer requires, on average, 4 ounces of the acid to produce.  Due to this limitation, the economic feasibility of this investment remains unclear.
            Intel engineers have invested $400 million and over 4000 work-hours over the past two years to develop a less expensive substitute for amenocebic acid.  They have a potential substitute known as Carlinium, named in honor of the inventor.  This substance, while far less expensive to produce ($50/ounce), requires 3 ounces to produce one wafer.  More importantly, there is evidence that Carlinium is a very carcinogenic substance and may be banned by the EPA.  There is currently a study underway to investigate whether Carlinium is, in fact, dangerous.  Preliminary evidence suggests there is a 1 in 3 chance that Carlinium is poisonous, though the final results of the tests will not be known for 12 months.  If Carlinium is proven to cause cancer, Intel will be forced to use the more expensive amenocebic acid for production and to price the chips accordingly.  As a result of the higher price of the chips, demand is expected to be far less.
            Intel will need to build a production facility regardless of the process they use (amenocebic or Carlinium).  The cost of this plant will be $450 million and will require one year to come online.  Intel already owns the land where the new facility can reside.  Assume that the land has no opportunity cost.  You will depreciate this investment using straight-line depreciation over 10 years.  After 10 years of production, you anticipate that the next generation of processor material will have made arsenicon-dithurate obsolete and the production facility valueless.
            Intel, however, is not in a position that they can wait until the safety of Carlinium is known to decide whether to purchase Hannover-Ceramics.  Motorola, a prime competitor of Intel, has been rumored to be nearing completion of their own substitute for amenocebic acid and may try to acquire Hannover-Ceramics before the end of the year.
            There are three public firms in the same industry as Hannover-Ceramics, and all four firms are exclusively equity financed.  The following table reports the current stock prices, 52-week highs and lows, and standard deviation of returns over the past 10 months:
 


Firm
Current Price
52-week High
52-week Low
Standard Deviation
bequity
Hannover-Ceramics Inc.
Private Firm
Computer Internal Inc.
$75.25
$125.00
$75.25
30%
1.65
New Age Materials Corp.
$23.45
$26.13
$22.63
22%
1.7
Dyne-Ceramic
$54.88
$110.08
$17.25
44%
2.1
           
            Current market returns are averaging 10% and the risk-free interest rate is 4%.
The incremental number of units sold per year and price per unit are detailed in Table 2 under two different scenarios (using Carlinium or Amenocebic acid).  In addition to the price of Carlinium or amenocebic acid, each chip requires an average labor cost of $15 and $25 in other expenses to produce.  Assume that there is no require working capital for this project and that the corporate tax rate is 35%.

Table 2
Carlinium Acid
Amenocebic Acid
Year
Millions of chips
Price/Chip ($)
Thousands of chips
Price/Chip ($)
1
2.5
500
200
1,400
2
3
500
150
1,200
3
3
450
75
1,100
4
4.5
425
75
1,050
5
4
350
65
1,050
6
4.5
300
65
1,050
7
4.5
250
50
950
8
4.5
250
50
950
9
3.5
250
35
875
10
2
250
30
875

Question #1: What is the NPV of this project?
Question #2: What is the value of the option? (Net of the NPV).
Question #3: Should Intel attempt to purchase Hannover-Ceramics and, if so, what is the maximum price that can be paid?

Your analysis should be summarized in the form of a 1-2 page executive summary, with attached appendixes.  DO NOT be cavalier or “cute” in your write-up; write as professional of a document as you are able. 
You should briefly state any assumptions that you make in your analysis.


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