Siobhan Roy has a$100,000 ring and keeps$100,000 cash in a checking account that paysno interest. If the ring is stolen, Siobhan will be forced to replace it at a cost of$100,000. Thechance of this happening is 1/100. She can, however, get insurance that would completelyreimburse to her the$100,000 if her ring was stolen. What is the largest premium she would be willing to pay and what's the certainty equiv- alent of the event if her U-function is:
(i) U = y1/4
(ii) U = y*
(iii) U = Y?
where Y denotes the amount of cash she has. (Note that her utility function does not include the value of the ring, since she always has the ring.)