We consider long-run behavior of agents assessing risk in terms of dynamic convex risk measures or, equivalently, utility in terms of dynamic variational preferences in an uncertain setting. By virtue of a robust representation, we show that all uncertainty is revealed in the limit and agents...

Market mechanisms are increasingly being used as a tool for allocating somewhat scarce but unpriced rights and resources, and the European Emission Trading Scheme is an example. By means of dynamic optimization in the contest of firms covered by such environmental regulations, this paper...

We develop statistical methods to detect informed trading in options markets. We apply these methods to 31 companies from various sectors over 14 years analyzing approximately 9.6 million option prices. We find that option informed trading tends to cluster prior to certain events, takes place...

This appendix extends the empirical results in Chesney, Crameri, and Mancini (2011). Informed trading activities on put and call options are analyzed for 19 companies in the banking and insurance sectors from January 1996 to September 2009. Our empirical findings suggest that certain events such...

Replicating portfolios have recently emerged as an important tool in the life insurance industry, used for the valuation of companies' liabilities. This paper presents a replicating portfolio (RP) model for approximating life insurance liabilities as closely as possible. We minimize the L1 error...

In the existing financial literature, entropy based ideas have been proposed in portfolio optimization and in model calibration for options pricing. The abstracted problem corresponds to finding a probability measure that minimizes Kullbach-Leibler (KL) distance with respect to a known measure...

Equilibrium models have been widely used in literature with the aim of showing theoretical properties of emission trading systems. This paper derives first a new equilibrium model. Second, it is shown that the theoretical permit price is related to changes in the expectation about how long...

This is the first of a “Gambling for Quants” series that discusses the science of gambling for quantitatively trained market practitioners. Part 1 describes the well-known Kelly Criterion fractional betting system for simple coin flips. Most of the important ideas are understandable in this...

We consider the solution of bound constrained optimization problems, where we assume that the evaluation of the objective function is costly, its derivatives are unavailable and the use of exact derivative-free algorithms may imply a too large computational burden. There is plenty of real...