Ann is a risk averse individual with the utility function u(w) = w1/2. Her current wealth is $300 and with the probability 0.25 she will incur a huge loss of D = 240, but with the probability 0.75 she will incur no loss. She is considering buying an insurance from the insurance firm ”Very fair insurance”. (a) The ”Very fair insurance” firm sells the actuarially fair insurance to its customers. What premium would they charge Ann per dollar of insurance?
Ann is a risk averse individual with the utility function u(w) = w1/2. Her current wealth is $300 and with the probability 0.25 she will incur a huge loss of D = 240, but with the probability 0.75 she will incur no loss. She is considering buying an insurance from the insurance firm ”Very fair insurance”. (a) The ”Very fair insurance” firm sells the actuarially fair insurance to its customers. What premium would they charge Ann per dollar of insurance?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Ann is a risk averse individual with the utility function u(w) = w1/2. Her current wealth is
$300 and with the probability 0.25 she will incur a huge loss of D = 240, but with the
probability 0.75 she will incur no loss.
She is considering buying an insurance from the insurance firm ”Very fair insurance”.
(a) The ”Very fair insurance” firm sells the actuarially fair insurance to its customers. What
premium would they charge Ann per dollar of insurance?
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