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What is the Capital Allocation Line (CAL)? How do indifference curves inform positioning along the CAL?...

What is the Capital Allocation Line (CAL)? How do indifference curves inform positioning along the CAL? Explain the risk aversion metric employed in utility modeling? What is the (approximate) range?

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Expert Solution

1) Capital Allocation Line -

  The capital allocation line (CAL) is a line created on graph of all possible combinations of risk-free and risky assets. The graph displays the return investors might earn by assuming a certain level of risk with their investment. The slope of the CAL is known as the reward-to-variability ratio.

2)  We have the indifference curves for the investor, namely, I1, I2, and I3. The efficient frontier is what the investor can invest in. Any portfolio below it is not preferred and any portfolio above it is not attainable. Therefore, there is no portfolio that is attainable on indifference curves I2 and I3. There is only one portfolio that meets his utility indifference curve, I1, and that is portfolio N. In this situation, portfolio N will be the optimal portfolio for the investor.

3)

Expected utility is exactly such a model. According to expected utility, a person has a utility function that assigns a “utility” to each outcome.The concept of risk aversion is typically applied when a person is choosing between lotteries where the outcomes are expressed in monetary amounts.

4) Range - between 1 & 4


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