Problem 6 Mr. Jones has a utility function u = m0.5. His initial wealth is m, to invest some amount q S mo in a risky project with the return a return of 1₂ = -0.5 in a bad state. The probability of the good state is p = 0.8 and the probability of the bad state is p = 0.2. a) What is the expected value of this investment? b) What is the expected utility of this investment? 1000. He is considering = 0.2 in a good state and
Problem 6 Mr. Jones has a utility function u = m0.5. His initial wealth is m, to invest some amount q S mo in a risky project with the return a return of 1₂ = -0.5 in a bad state. The probability of the good state is p = 0.8 and the probability of the bad state is p = 0.2. a) What is the expected value of this investment? b) What is the expected utility of this investment? 1000. He is considering = 0.2 in a good state and
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![Problem 6
=
Mr. Jones has a utility function u= m0.5. His initial wealth is mo= 1000. He is considering
to invest some amount q Smo in a risky project with the return 0.2 in a good state and
a return of r=-0.5 in a bad state. The probability of the good state is p = 0.8 and the
probability of the bad state is pp = 0.2.
a) What is the expected value of this investment?
b) What is the expected utility of this investment?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcaf3db41-d9ef-43d0-877c-fa8cae577e4f%2F0978b7f0-e5d4-4bfe-b698-ae5bc0ba3132%2F37ugpgm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 6
=
Mr. Jones has a utility function u= m0.5. His initial wealth is mo= 1000. He is considering
to invest some amount q Smo in a risky project with the return 0.2 in a good state and
a return of r=-0.5 in a bad state. The probability of the good state is p = 0.8 and the
probability of the bad state is pp = 0.2.
a) What is the expected value of this investment?
b) What is the expected utility of this investment?
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