Question #64267

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) =

. 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 accepts the insurance. Explain.

(b) What is the maximum amount that Sita would pay for the insurance?

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) =

. 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 accepts the insurance. Explain.

(b) What is the maximum amount that Sita would pay for the insurance?

Expert's answer

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 = 1/2, Sita will be able to

refuse the insurance.

(b) The maximum amount that Sita would pay for the insurance can be calculated according to probabilities:

i(max) = 100*1/2 + 25*1/2 = 50 + 12.5 = 62.5

(a) Sita may accept the insurance, if the probability of illness is too

high and the insurance payment is affordable. As p = 1/2, Sita will be able to

refuse the insurance.

(b) The maximum amount that Sita would pay for the insurance can be calculated according to probabilities:

i(max) = 100*1/2 + 25*1/2 = 50 + 12.5 = 62.5

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