Xavier, Yolanda, and Zachary Are Considering Whether to Pool Their

question 40

Multiple Choice

Xavier, Yolanda, and Zachary are considering whether to pool their funds to buy into a lottery. There is a 20% chance that they will win big and make $8 million dollars, a 40% chance that they will win second prize and make $2 million, and a 40% chance that they will lose and win nothing. The entrance fee to participate in this lottery is $2 million. The partners decide whether or not to play by majority vote. Assume that Xavier has utility function u(x) = x². The other two partners have utility function u(x) = x, where x is the total amount of money won in the lottery. Will the partners buy in?

• A) All three will vote to buy in, so the partnership as a whole will buy in
• B) Only Xavier will vote to buy in, so the partnership as a whole will not buy in
• C) Yolanda and Zachary will vote to buy in, so the partnership as a whole will buy in

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Definitions:

Foreign Currency Option

A financial derivative that gives the holder the right, but not the obligation, to exchange money denominated in one currency into another currency at a pre-agreed exchange rate on a specified date.

Fair Value

The cost at which one could sell an asset or assume a liability in a structured exchange with market participants on the valuation date.