Choice under uncertainty.  Consider a coin-toss game in which the player gets $30 if they win, and $5 if they lose. The  probability of winning is 50%.  (a) Alan is (just) willing to pay $15 to play this game. What is Alan’s attitude to  risk? Show your work.   (b) Assume a market with many identical Alans, who are all forced to pay $15 to  play this coin-toss game. An insurer offers an insurance policy to protect the  Alans from the risk. What would be the fair (zero profit) premium on this  policy?  can you help me for par (b) plase?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.4P
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Choice under uncertainty. 
Consider a coin-toss game in which the player gets $30 if they win, and $5 if they lose. The 
probability of winning is 50%. 
(a) Alan is (just) willing to pay $15 to play this game. What is Alan’s attitude to 
risk? Show your work.  
(b) Assume a market with many identical Alans, who are all forced to pay $15 to 
play this coin-toss game. An insurer offers an insurance policy to protect the 
Alans from the risk. What would be the fair (zero profit) premium on this 
policy?  can you help me for par (b) plase?

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