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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ENPV (or say NPV + O), which is the NPV <strong>in</strong>clud<strong>in</strong>g the flexibility, can be calculatedas <strong>in</strong> the table below:Table 5.4 ENPVThe value <strong>of</strong> the Option A (which has <strong>in</strong>cluded the value <strong>of</strong> Option B, as the way <strong>of</strong>calculation), can be calculated by multiply the Option Value <strong>of</strong> each situation (as justderived) by the probabilities <strong>of</strong> different outcomes, and add them <strong>to</strong>gether, whichgives $99.99 million. Alternatively, first multiply CF** (= Orig<strong>in</strong>al CF + OptionValue <strong>of</strong> each situation) by the probabilities <strong>of</strong> different outcomes, add them <strong>to</strong>gether,(which gives the ENPV <strong>of</strong> $113.97 million), and then m<strong>in</strong>us the NPV. The calculationshows that by us<strong>in</strong>g a b<strong>in</strong>omial tree approach, the <strong>real</strong>ization <strong>of</strong> <strong>real</strong> <strong>options</strong> has<strong>in</strong>creased the NPV by $99.99 million, which is the value <strong>of</strong> flexibility.5.3.4 Valuation <strong>of</strong> the compound option –compound ra<strong>in</strong>bow optionIn the figure below, the value <strong>of</strong> the compound ra<strong>in</strong>bow option is calculated, with<strong>in</strong>consideration <strong>of</strong> two separate but unrelated uncerta<strong>in</strong>ties, i.e. technical and marketuncerta<strong>in</strong>ties.Mov<strong>in</strong>g all the way back <strong>to</strong> year 0, the NPV (with flexibility) is $49.05 million. Andgiven the orig<strong>in</strong>al NPV is $13.98 million, the value <strong>of</strong> the option is $35.05 million.Page | 62