TY - JOUR
TI - Comparing financial investments by their state dependent returns: A one-way log utility representation
AB - In a standard single-period model under risk, we formalize and discuss an intuitive criterion for the binary comparison of financial investments. Two investments - x and y - are compared by calculating the present value of x's payoffs using the state dependent returns of y as discount factors. The induced preference is asymmetric but exhibits intransitive indifference. If the feasible set is convex, then the criterion selects a unique maximum element. Interestingly, it can be shown that the induced preference can be represented by a one-way expected utility representation employing logarithmic utility. Besides giving a relevant and illustrative example for a one-way utility representation, this result provides a new interpretation of using logarithmic utility for expected utility based decision-making.
SP - 323
EP - 328
PY - 2009-04-01
JO - European Journal of Operational Research (EJOR)
AU - Speckbacher, Gerhard
ER -