Question: Your R&D division has just synthesized a material that will superconduct electricity at room temperature; you have given the go ahead to try to produce
Your R&D division has just synthesized a material that will superconduct electricity at room temperature; you have
given the go ahead to try to produce this material commercially. It will take five years to find out whether the material
is commercially viable, and you estimate that the probability of success is Development will cost $ million
per year, paid at the beginning of each year. If development is successful and you decide to produce the material, the
factory will be built immediately. It will cost $ million to put in place and will generate profits of $ million at the
end of every year in perpetuity. Assume that the current fiveyear riskfree interest rate is per year, and the
yield on a perpetual riskfree bond will be either or in five years. Assume that
the riskneutral probability of each possible rate is the same. What is the value today of this project?
What is the value of the development opportunity today?
The value is $ million. Round to one decimal place.
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