Classic option pricing theory values a derivative contract via dynamic replication, and views the derivative as redundant relative to the replicating portfolio. In practice, while dynamic replication proves highly effective in drastically reducing the risk in derivative investments, the...

This paper discusses multi-period investment processes under parameter uncer- tainty and criteria to maximize exponential growth. Applying an information- theoretical argument, we find, for a Bernoulli process, the least biased investment strategy consistent with an expected exponential growth...

The problem of optimal portfolio choice is solved, in closed form, for an ambiguity averse investor who has access to stock and derivatives markets. The investor can have different levels of uncertainty about models for stock return and its stochastic volatility. Although both types of ambiguity...

This work discusses the calibration of instantaneous Libor correlations in the Libor market model. We extend existing calibration strategies by incorporation of spread option implied correlation information. The correlation structure implied by CMS spread options observed in the present-day's...

This paper uses deep learning to value derivatives. The approach is broadly applicable, and we use a call option on a basket of stocks as an example. We show that the deep learning model is accurate and very fast, capable of producing valuations a million times faster than traditional models. We...

This paper proposes a simple technical approach for the analytical derivation of Point-in-Time PD (probability of default) forecasts, with minimal data requirements. The inputs required are the current and future Through-the-Cycle PDs of the obligors, their last known default rates, and a...

This paper compares the empirical performance of continuous time models for the dynamics of nine different implied volatility indices. The models include linear, quadratic and nonlinear drift specifications with affine, constant elasticity of variance (CEV) and stochastic elasticity of variance...

In this article we study the widely used in randomized experiments approach of decreasing variance of estimate of average treatment effect (ATE) by estimating ATE on residuals using linear regression, i.e. when we first fit using linear regression on a pooled dataset exploratory...

In volatile economic environment, it is imperative for the airlines to implement appropriate derivative hedging strategies. In non-volatile economic environment, there seems to be different views that support non-implementation and implementation of derivative hedging strategies within the...

We investigate the optimal martingale transport problem under additional constraints and its application to robust price bounds for financial derivatives. More specifically, we derive improved price bounds by taking into account supplementary information about the variance of the returns on the...