This paper suggests incorporating investor probability weighting and the default risk of individual firms into a consumption-based asset pricing model. The extended model provides a unified solution for several anomalous patterns observed on financial markets. The analysis addresses not only...

This study proposes a direct estimation method for recovering subjective probability distributions from option prices. We find that the subjective cumulative distribution function and subjective statistics are represented as static portfolios composed of plain vanilla options. The portfolio...

This paper proposes a general method to recover the subjective probability distribution of nonlinear payoffs from option prices. We show that the characteristic function of the distribution can be represented as the present value of a static option portfolio with complex-valued portfolio...

This paper considers a new problem for portfolio optimization with a choice of a probability measure, particularly, an optimal investment problem under sentiments. Firstly, we formulate the problem as a sup-sup-inf problem consisting of optimal investment and a choice of a probability measure...

This paper presents a new asset pricing model incorporating fundamental uncertainties by choice of a probability measure. This approach is novel in that we incorporate uncertainties on Brownian motions describing risks into the existing asset pricing model. Particularly, we show extensions of...