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application of real options valuation to r&d investments in ...

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Merck & Co (10%), which gives $2338m, $672m, $4385m respectively.The time <strong>to</strong> expiration – as the compound is go<strong>in</strong>g <strong>to</strong> go through a 7 year R&Dprocess, and the patent still has17 years <strong>of</strong> life, the product would have a 10 yearperiod <strong>of</strong> exclusivity, beg<strong>in</strong>n<strong>in</strong>g <strong>in</strong> 7 years. The time between year 7 and year 17leaves 10 year <strong>of</strong> time, which can be deemed as suitable for expiration time. Assumeyear 0 is the year 1999, thus for this option, T is the year 2016 and t is the year 2006.Volatility – ten years <strong>of</strong> Merck & Co‘s s<strong>to</strong>ck price has been used <strong>to</strong> derive thestandard deviation (S.D. = 49.61%) for the time period between year 7 and year 10.Here the his<strong>to</strong>rical volatility <strong>of</strong> Merck & Co is used, rather than the Davanrik, or say,LAB Pharmaceuticals. As will be discussed later that for other period, mean<strong>in</strong>g year 0<strong>to</strong> year 7, other volatility figure will be used, this is because for the time between year0 and year7, the volatility would be more project-related, especially <strong>in</strong> terms <strong>of</strong> LABPharmaceuticals‘ past performance. It is assumed for that period, the volatility wouldbe higher, as the fact that LAB has never passed the process.Page | 47

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