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Venture Limited is a company with net sales of $30 million. The company currently must decide whether to enter one of two risky ventures or invest in a sure thing. The gain from the latter is a sure $125000. The possible outcomes for the less risky venture are a $0.5 million loss a $0.1 million gain and a $1 million gain. The probabilities of these outcomes are 0.25 0.50 and 0.25 respectively. The possible outcomes of the more risky venture are a $1 million loss a $1 million gain and a $3 million gain. The probabilities of these outcomes are 0.35 0.60 and 0.05 respectively. If Venture Limited must decide on exactly one of these alternatives what should it do?
Objective: To see how the company s risk averseness determined by its risk tolerance in an exponential utility function affects its decision. Create a line chart that includes three series that is three lines (or curves). Each line should show the expected utility of a particular decision for a sequence of possible risk tolerance values. This chart should make it clear when the more risky option becomes optimal and whether the less risky option is ever optimal.

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