We study the inverse power index problem for weighted voting games: the problem of finding a weighted voting game in which the power of the players is as close as possible to a certain target distribution. Our goal is to find algorithms that solve this problem exactly. Thereto, we study various...

In this article we extend the by now classical Longstaff-Schwartz algorithm for approximately solving high dimensional optimal stopping problems. We reformulate the problem of optimal stopping in discrete time as a generalized statistical learning problem. Within this setup we apply modern...

The prevalence of electronic devices has propelled the tremendous growth of the semiconductor industry in the past half century. The manufacturing of semiconductor wafers is a long and delicate process, where defect points may occur and cause the failure of the entire circuit. As more advanced...

We generalize the algorithmic differentiation method proposed by Antonov (2016) from price Greeks to XVA Greeks. This method, named Backward Differentiation (BD), was developed in the context of computing price or PV Greeks for individual callable exotic trades.We start by treating cases where...

In this article, we study the algorithmic calculation of present values greeks for callable exotic instruments. The speed of greeks evaluations becomes important with recent initial margin rules, including the ISDA standard model SIMM, requiring sensitivity calculations for non-cleared deals...

In an environment where economic structures break, variances change, distributions shift, conventional policies weaken and past events tend to reoccur, economic agents have to form expectations over different regimes. This makes the regime-switching dynamic stochastic general equilibrium...

The LIBOR Market Model (LMM or BGM) has become one of the most popular models for pricing interest rate products. It is commonly believed that Monte-Carlo simulation is the only viable method available for the LIBOR Market Model. In this article, however, we propose a lattice (or tree) approach...

We propose a class of execution algorithms that consists of a strategic layer and a speculative layer. The strategic layer is an optimal trading schedule that encodes the trader's objective, her tolerance to risk, and the impact of her own trades in the market. The schedule of the strategic...

We introduce the market resources method (MRM) for solving dynamic optimization problems. MRM extends Carroll’s (2006) endogenous grid point method (EGM) for problems with more than one control variable using policy function iteration. The MRM algorithm is simple to implement and provides...

An optimal portfolio with the highest possible Sharpe ratio plays an important role for capital allocation and performance evaluation. This paper introduces a simple algorithm for finding the Sharpe-optimal portfolio without solving a non-linear problem. The results are tested on S&P 100...