We study the empirical performance of alternative risk and reward specifications in portfolio selection. In particular, we look at models that take into account asymmetry of returns, and treat losses and gains differently. In tests on a dataset of German equities we find that portfolios...

In this paper, we derive constrained optimal investment strategies for long-term savers who are interested in investing their funds in stocks, but are afraid of potentially losing, for example, their retirement income. We call this probability hedging as it is determined by the probability of...

I Pricing and ValuationStochastic Processes and Risk-Neutral Pricing Characteristic FunctionStochastic Models of Asset PricesValuing Derivatives under Various MeasuresTypes of DerivativesDerivatives Pricing via Transform TechniquesDerivatives Pricing via the Fast Fourier TransformFractional Fast...