6. Expected Utility. Consider a Princeton student who feels that a "normal" year on campus is like gaining SA, compared to taking the year off, which gives utility u(woff). But she fears Princeton will renege on its promise of a normal year, and move everything online; she feels that this is like losing $L (compared to a normal on-campus year). If she expects this to happen with probability p, (a) Write out the expected utility from enrolling. (b) Write out the expected utility from taking the year off. (c) Show: if the student chooses to take the year off, and is risk-loving, it must be that L>A/p.

Economics:
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ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter31: Capital Markets
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6. Expected Utility. Consider a Princeton student who feels that a "normal" year on campus is
like gaining $A, compared to taking the year off, which gives utility u(wof). But she fears
Princeton will renege on its promise of a normal year, and move everything online; she feels
that this is like losing $L (compared to a normal on-campus year). If she expects this to
happen with probability p,
(a) Write out the expected utility from enrolling.
(b) Write out the expected utility from taking the year off.
(c) Show: if the student chooses to take the year off, and is risk-loving, it must be that
L> A/p.
Transcribed Image Text:6. Expected Utility. Consider a Princeton student who feels that a "normal" year on campus is like gaining $A, compared to taking the year off, which gives utility u(wof). But she fears Princeton will renege on its promise of a normal year, and move everything online; she feels that this is like losing $L (compared to a normal on-campus year). If she expects this to happen with probability p, (a) Write out the expected utility from enrolling. (b) Write out the expected utility from taking the year off. (c) Show: if the student chooses to take the year off, and is risk-loving, it must be that L> A/p.
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