Two of the most important areas in computational finance: Greeks and, respectively, calibration, are based on efficient and accurate computation of a large number of sensitivities. This paper gives an overview of adjoint and automatic differentiation (AD), also known as algorithmic...

Several exchanges in futures and options deploy pro-rata matching. The executed size of limit orders in pro-rata markets is never certain, unlike in price-time priority matching systems. This article derives the optimal size of limit orders in pro-rata markets given the trader's desired...

Concerns about the fragility of the financial system caused by the OTC derivatives market has encouraged the increased use of counterparty risk mitigation techniques including the use of market compression. In this process groups of market participants share position information via a third...

In this paper we propose a Maximization-Maximization (MM) algorithm for the assessment of hidden parameters in structural credit risk models. Step M1 updates the value, volatility, and expected return on the firm’s assets by maximizing the log-likelihood function for the time series of equity...

Several swap rate derivatives e.g. constant maturity swaps can only be valued after a convexity correction. One approach is to use a Taylor series expansion to gain an analytical approximation but the result is neither a tradeable asset nor can the information of the volatility cube be included....

The goal programming (GP) is a well-known approach applied to multi-criteria decision making (M-DM). It has been used in many domains and the literature offers diverse extensions of this procedure. On the other hand, so far, some evident analogies between M-DM under certainty and scenario-based...