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Pam has $1200 of wealth that she can divide in any proportion between a safe asset with low expected return (e.g., a bank savings account)

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Pam has $1200 of wealth that she can divide in any proportion between a safe asset with low expected return (e.g., a bank savings account) and a risky asset with high expected return (e.g., an equity stake in a tech startup). In particular, the payoffs of each investment in the two possible future states of the world -- "good times" and "bad times" -- are as follows: Each $1 invested in the safe asset retains a value of exactly $1 in both "good times" and "bad times". In contrast, each $1 invested in the risky asset increases to $5 in "good times" but decreases to $0 (i.e., becomes worthless) in "bad times". Suppose that the probability of "good times" is 5 the probability of "bad times" is %, and Pam's utility function over certain levels of wealth is UU/V) = In W. Letting Wg denote Pam's wealth in "good times" and M denote Pam's wealth in "bad times", how much of her initial wealth of $1200 does Pam invest in the risky asset to achieve her expected utility- maximizing (l/Vg, M) bundle? '\" $1200 '0 $200 $0 '\" $700

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