Mel and Christy are co-workers with different risk attitudes. Both have investments in the stock market and hold U.S. Treasury securities (which provide the risk free rate of return). Mel's marginal rate of substitution of return for risk where
is the individual's portfolio rate of return and σP is the individual's portfolio risk. Christy's
Each co-worker's budget constraint is
where
is the risk-free rate of return,
is the stock market rate of return, and
is the stock market risk. Solve for each co-worker's optimal portfolio rate of return as a function of
,
and
.
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