Answer to Question #54787 in Economics for ujjal protim dutta

Question

Sita expects her future earnings to be worth Rs. 100. If she falls ill, her expected future
earning will be Rs. 25. There is a belief that she may fall ill with probability of ,
-
while the
probability of remaining in good health is .
-
. Let her utility function be given as U(y) =
/
0
+. suppose that an insurance company offers to fully insure Sita against loss of earnings
caused by illness against an actuarially fair premium.
(a) Will Sita accept the insurance? Explain.
(b) What is the maximum amount that Sita would pay for the insurance?

Answer 1

Future earnings - Rs. 100, p = 1/3
If she falls ill - Rs. 25, p = 2/3
U(y) =y1/2

(a) Sita may accept the insurance, if the probability of illness is too high and the insurance payment is affordable. As p = 2/3, Sita will accept the insurance.
(b) The maximum amount that Sita would pay for the insurance can be calculated according to probabilities:
i(max) = 100*1/3 + 25*2/3 = 33.33 + 16.67 = 50