application of real options valuation to r&d investments in ...
application of real options valuation to r&d investments in ...
application of real options valuation to r&d investments in ...
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these three <strong>options</strong>, the risk-free rate should be different. But for the sake <strong>of</strong> simplicity,it is assumed here for the 7 years, a s<strong>in</strong>gle risk-free rate is used. Thus, the risk-freerate <strong>of</strong> 5.79% is used, referred <strong>to</strong> the US 7-Year Treasury <strong>in</strong> the year 1999, which willexpire <strong>in</strong> 2006.Exercise price – for the option, the exercise price generally refers <strong>to</strong> the cost <strong>to</strong> <strong>in</strong>vest<strong>to</strong> keep the option open. In this case, however, the situation is very complex and foreach phase, the exercise prices (cost <strong>to</strong> <strong>in</strong>vest) are different, for each situation (i.e.Depression only, Weight loss only and both), the exercise prices are different. Thetable below shows the exercise price (exercise price) estimated <strong>to</strong> correspond <strong>to</strong> eachsituation and phase, not<strong>in</strong>g that the figures are the value at the correspond<strong>in</strong>g time,rather than the present value.The costs should be adjusted <strong>to</strong> the year <strong>of</strong> <strong>in</strong>vest<strong>in</strong>g respectively, which makes $40mat year 0 become $48.4m at Year 2 (40*1.12),$200m at year 0 become $292.82m at Year 4 (200*1.14),$150m at year 0 become $219.615m at Year 4 (150*1.14),$500m at year 0 become $732.05m at Year 4 (500*1.14),$250m at year 0 become $487.18m at Year 7 (250*1.17),$100m at year 0 become $194.87m at Year 7 (100*1.17),$400m at year 0 become $779.49m at Year 7 (400*1.17).Summarized as below:Table 5.2: Time value <strong>of</strong> <strong>in</strong>vestment costPage | 55