The recently developed rough Bergomi (rBergomi) model is a rough fractional stochastic volatility (RFSV) model which can generate more realistic term structure of at-the-money volatility skews compared with other RFSV models. However, its non-Markovianity brings mathematical and computational...

In this paper we consider the application of control variates to the Monte-Carlo valuation of American options. The main idea of the paper is to sample control variates at the exercise time of the American option rather than at expiry, which would be the case for the corresponding European...

Pricing compound and min-max options requires the estimation of the bivariate normal probability. Using the slower Simpson numerical integration as the accuracy benchmark, four alternative bivariate normal probability estimation methods are compared in terms of accuracy and speed in pricing...

We propose a numerical approach for structural estimation of a class of Discrete (Markov) Decision Processes emerging in real options applications. The approach is specifically designed to account for two typical features of aggregate data sets in real options: the endogeneity of firms'...

Valuation of mortgage backed securities (MBSs) and collateralized mortgage obligations (CMOs) is the big science of the financial world. There are many moving parts, each one drawing on expertise in a different field. Prepayment modeling draws on statistical modeling of economic behavior. Data...

We introduce the general arbitrage-free valuation framework for counterparty risk adjustments in presence of bilateral default risk, including default of the investor. We illustrate the symmetry in the valuation and show that the adjustment involves a long position in a put option plus a short...

We develop two neo-classical methods for function approximations, the generalized stochastic sampling (gSS) and the functional tensor train (fTT) methods, that are high-performing alternatives to generic deep neural networks (DNNs) currently routinely proposed for function approximations in...

We analyze the effects of the financial crisis in credit valuation adjustments (CVA's). Following the arbitrage-free valuation framework presented in Brigo et al. (2009), we consider a model with stochastic Gaussian interest rates and CIR++ default intensities. Departing from previous...

This paper proposes the use of analytical approximations to price an heterogeneous basket option combining commodity prices, foreign currencies and zero-coupon bonds. The performance of three moment matching approximations is examined: inverse gamma, Edgeworth expansion around the lognormal and...

We derive a closed-form expression for the bilateral credit valuation adjustment of a credit default swap in presence of simultaneous defaults. We develop our analysis under a default intensity model specified by a class of three-dimensional subordinators, allowing for default dependence through...