1) An individual's IUF is given by U(w) = ln(w), where w = current wealth. She is offered the op

Step 1: The individual's expected utility from betting $x can be calculated as E[U(w + x)] = θ*l

Question

1) An individual's IUF is given by $U(w) = \ln(w)$, where $w$ = current wealth. She is offered the opportunity to bet on the flip of a coin that results in heads with probability $\theta$, where $0 < \theta < 1$. If she bets $x$, she will end up having $(w + x)$ if heads occurs, and $(w - x)$ if tails occurs. Solve for the optimal value of $x$ as a function of $\theta$. What is her optimal choice of $x$ when $\theta = 0.5$? Can you offer an intuitive explanation in a sentence or two?

          1) An individual's IUF is given by $U(w) = \ln(w)$, where $w$ = current wealth. She is offered the opportunity to bet on the flip of a coin that results in heads with probability $\theta$, where $0 < \theta < 1$. If she bets $x$, she will end up having $(w + x)$ if heads occurs, and $(w - x)$ if tails occurs. Solve for the optimal value of $x$ as a function of $\theta$. What is her optimal choice of $x$ when $\theta = 0.5$? Can you offer an intuitive explanation in a sentence or two?

1) An individual's IUF is given by U(w) = ln(w), where w = current wealth. She is offered the opportunity to bet on the flip of a coin that results in heads with probability θ, where 0 < θ < 1. If she bets x, she will end up having (w + x) if heads occurs, and (w - x) if tails occurs. Solve for the optimal value of x as a function of θ. What is her optimal choice of x when θ = 0.5? Can you offer an intuitive explanation in a sentence or two?

Added by Christine R.

Question

Please give Ace some feedback