A major proposed industry in the future is the provision of global satellite wifi.  However, the actual willingness to pay for such a service is unknown.  Assume there's a 40% chance that there are 1 billion people willing to pay $100/year for a service that would cost $60/year to provide and a 60% chance that those people would be willing to pay $10/year for a service that would cost $60/year to provide.  Assume that the enterprise involved with this risky industry has an interest rate or discount rate of 20%. a. What is the expected value, annually, of providing this service? b. Assume that you could spend $75 billion to launch a testbed of the program, that could then either be scrapped if the willingness to pay were $10 or continue at normal cost afterward (for simplicity, assume that the program will last forever and generate constant annual returns if it is continued) if the willingness to pay were $100.  What is the net expected value of this testbed?

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
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Problem 7.3P
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A major proposed industry in the future is the provision of global satellite wifi.  However, the actual willingness to pay for such a service is unknown.  Assume there's a 40% chance that there are 1 billion people willing to pay $100/year for a service that would cost $60/year to provide and a 60% chance that those people would be willing to pay $10/year for a service that would cost $60/year to provide.  Assume that the enterprise involved with this risky industry has an interest rate or discount rate of 20%.
a. What is the expected value, annually, of providing this service?
b. Assume that you could spend $75 billion to launch a testbed of the program, that could then either be scrapped if the willingness to pay were $10 or continue at normal cost afterward (for simplicity, assume that the program will last forever and generate constant annual returns if it is continued) if the willingness to pay were $100.  What is the net expected value of this testbed?

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