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An individual's utility-of-wealth function is () = ( + 1) and their current wealth is . As a function of , , and how much

An individual's utility-of-wealth function is () = ( + 1) and their current wealth is . As a function of , , and how much of this wealth will the individual invest in a project that yields zero with probability , and with probability 1 pays dollars to an investor who has sunk dollars into the project

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