Question
ou are the owner of a popular cinema in downtown New York that needs refurbishment. You could decide against refurbishment and let the cinema become
ou are the owner of a popular cinema in downtown New York that needs refurbishment.
You could decide against refurbishment and let the cinema become increasingly
dilapidated. In this case, there would be a payoff of $0.
Alternatively, you can invest in a major refurbishment that will cost you $1,000,000. You
expect the major refurbishment to lead to increased visitor numbers. You have employed
a consultant who estimates that undertaking the major refurbishment could yield returns
(payoffs) between $600,000 and $3,000,000. The assigned probabilities to these payoffs
Are:
- A 70% chance for returns of $600,000;
- A 30% chance for returns of $3,000,000.
You could also opt for a minor refurbishment due to budget constraints. The minor
refurbishment could cost approximately $400,000. Naturally, the payoffs for the minor
refurbishment will be lower, and are estimated to have:
- A 30% chance to be as high as $1,500,000;
- A 40% chance of being $400,000; or
- A 30% chance of being as low as $150,000.
What will your decision be? To help you decide, clearly indicate the following on a drawn
decision tree:
- The root nodes
- The decision nodes, chance nodes, and branches
- The terminal nodes
- The expected payoff of each decision
- The EMV of the decision
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