Consider a random wealth W taking on one of the values with respective probabilities Further suppose...
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Consider a random wealth W taking on one of the values with respective probabilities Further suppose that the utility function is u(w) = In(w). (a) Find the expected value of u(W), to two decimal places. E[u(W)] = (b) Find the utility of E[W], to two decimal places. Not u(E[W]) = utiles. the utility function is increasing the utility function is concave the utility function is convex utiles. (c) The result in part (b) is greater than the result from part (a) since: (W1,W2) = ($1000, $2600) (P₁,P₂) =(², ). em. Consider a random wealth W taking on one of the values with respective probabilities Further suppose that the utility function is u(w) = In(w). (a) Find the expected value of u(W), to two decimal places. E[u(W)] = (b) Find the utility of E[W], to two decimal places. Not u(E[W]) = utiles. the utility function is increasing the utility function is concave the utility function is convex utiles. (c) The result in part (b) is greater than the result from part (a) since: (W1,W2) = ($1000, $2600) (P₁,P₂) =(², ). em. Consider a random wealth W taking on one of the values with respective probabilities Further suppose that the utility function is u(w) = In(w). (a) Find the expected value of u(W), to two decimal places. E[u(W)] = (b) Find the utility of E[W], to two decimal places. Not u(E[W]) = utiles. the utility function is increasing the utility function is concave the utility function is convex utiles. (c) The result in part (b) is greater than the result from part (a) since: (W1,W2) = ($1000, $2600) (P₁,P₂) =(², ). em.
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Here are the stepbystep calculations a Find EW EW p1w1 p2w2 381000 582600 300 1300 1600 Find uW f... View the full answer
Related Book For
Microeconomics An Intuitive Approach with Calculus
ISBN: 978-0538453257
1st edition
Authors: Thomas Nechyba
Posted Date:
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