Jack has a utility function u(w) = √w, Jill has a utility function v(w) = ln(w). Who is morerisk-averse?

Question

Jack has a utility function u(w) = √w, Jill has a utility function v(w) = ln(w). Who is morerisk-averse?
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

To determine who is more risk-averse, we need to look at the second derivative of their utility functions. The more negative the second derivative, the more risk-averse the individual.

For Jack, his utility function is u(w) = √w. The first derivative of this function is u'(w) = 1/(2√w), and the sec Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

Jack has a utility function u(w) = √w, Jill has a utility function v(w) = ln(w). Who is morerisk-averse?

Let u, v and w be vectors in R3. Which of the following calculations is possible? (a) u + (v · w) (b) u · (v × w) (c) (u · v) × w (d) u × (v · w)

Jack earned twice as much as Mary and Jill earned $8 more than Mary. Who made the most money?

u i j k v i j k and 2   w i j k .i. Find the area of a triangle that is formed by the two vectors u and v .

Are the preferences represented by the utility function U (x, y) = 3x+2y homothetic?

1/3