The mathematical equations Keynes wrote out in chapter 17, in explaining his generalization of his theory of liquidity preference, are simplifications of his conventional coefficient of weight and risk, c ,that were used by Keynes to integrate non additivity(V(a/h)=w)and non linearity{[1/(1+q)]}...

In the paper, we consider the application of the theory of probability metrics in several areas in the eld of nance. First, we argue that specially structured probability metrics can be used to quantify stochastic dominance relations. Second, the methods of the theory of probability metrics can...

Assuming that probabilities (capacities) of events are random, this paper introduces a novel model of decision making under ambiguity, called Shadow probability theory, a generalization of the Choquet expected utility. In this model, probabilities of observable events in a subordinated...

The price of any asset can be expressed with risk neutral probabilities, which are adjusted to incorporate risk preferences. This paper introduces the concepts of downside (respectively outer) risk neutral probabilities, which are adjusted to incorporate the preferences for downside (resp....

We show that there exists a probability measure under which the CAPM formula for expected returns holds for general utility functions and probability distributions. This probability measure, the ``downside risk neutral'' measure, is adjusted to incorporate the effects of downside risk and higher...

This paper presents a new two-parameter probability weighting function for Tversky and Kahneman (1992) cumulative prospect theory as well as its special cases — Quiggin (1981) rank-dependent utility and Yaari (1987) dual model. The proposed probability weighting function can be inverse...

In this paper, we derive upper and lower bounds on the Range Value-at-Risk of the portfolio loss when we only know its mean and variance, and its feature of unimodality. In a first step, we use some classic results on stochastic ordering to reduce this optimization problem to a parametric one,...