50–50 chance that an individual with log- arithmic utility from wealth and with a current wealth of $20,000 will suffer a loss of $10,000 from a car accident. Insur- ance is competitively provided at actuarially fair rates. Compute the outcome if the individual buys full insurance. Compute the outcome if the individual buys only partial insurance covering half the loss. Show that the outcome in part (a) is preferred. Now suppose that individuals who
18.5
Suppose there is a 50–50 chance that an individual with log- arithmic utility from wealth and with a current wealth of $20,000 will suffer a loss of $10,000 from a car accident. Insur- ance is competitively provided at actuarially fair rates.
-
Compute the outcome if the individual buys full insurance.
-
Compute the outcome if the individual buys only partial insurance covering half the loss. Show that the outcome in part (a) is preferred.
-
Now suppose that individuals who buy the partial rather than the full insurance policy take more care when driv- ing, reducing the damage from loss from $10,000 to $7,000. What would be the actuarially fair price of the partial policy? Does the individual now prefer the full or the partial policy?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
