By Haim Levy
ISBN-10: 0387293027
ISBN-13: 9780387293028
ISBN-10: 0387293116
ISBN-13: 9780387293110
This publication is dedicated to funding decision-making lower than uncertainty. The e-book covers 3 simple ways to this procedure: the stochastic dominance procedure; the mean-variance technique; and the non-expected software technique, targeting prospect idea and its changed model, cumulative prospect concept. every one strategy is mentioned and in comparison. furthermore, this quantity examines circumstances within which stochastic dominance ideas coincide with the mean-variance rule and considers how contradictions among those methods may possibly take place.
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Extra info for Stochastic Dominance: Investment Decision Making under Uncertainty (Studies in Risk and Uncertainty)
Example text
Let us first show that if the utility function is linear of the type, U(x) = a + bx (b > 0) then MEUC and MERC coincide. To see this, let us compare two investments denoted by x and y. By the MEUC we have that x)- y if and only if EU(x) > EU(y). But with linear utility function we have: EU(x)>EU(y)« a + bEx>a + b Ey (for b > 0); hence. Ex > Ey. Thus, the project ranking by EU(») is the same as the ranking by the expected value; hence, for linear utility function, the MERC coincides with the MEUC.
This optimal choice maximizes the investor's expected utility. This is a subjective decision because it depends on the investor's preferences. , U ' > 0). All investors will agree on this partition into the efficient and inefficient sets. In the second stage, each investor will select the optimal portfolio from the efficient set according to his/her preferences. In this stage, there will be little or no agreement between investors, each will select his/her optimal portfolio according to his/her specific preferences.
One day) |i- = 0 , hence the risk is measured as deviation from zero as done in the above graphical example. g) Shortfall VaR This is another risk index with a focus on the left tail of the distribution of returns. It is the expected loss when the expectation is calculated only over the left tail domain. 7) h) Loss as an Alternative Cost: The Minimax Regret Leonard Savage proposed the minimax regret criterion for selecting among risky actions or risky investments. '^ The main thrust of this rule is that investors should choose the investment that offers the minimum risk of possible losses due to a See Leonard Savage, "The Theory of Statistical Decision," Journal of American Statistical Association, 46, 1951, 55-67.
Stochastic Dominance: Investment Decision Making under Uncertainty (Studies in Risk and Uncertainty) by Haim Levy
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