M23 A grocery store owner's utility of income y is represented by the utility function U(y) = ln(y). She earns 100 000 per year, but there is a 10% chance of the store catching fire, in which case she stands to lose 50 000 in terms of merchandise destroyed and repair to the store. (a.) Show that the certainty equivalent of the grocer is equal to 93 303 and determine the corresponding risk-premium. Would the risk-premium of the 50 000 loss be higher or lower if the original earnings would have 200 000 instead of 100 000? Determine the maximum premium the grocery's owner is willing to pay for a full insurance