We present a Graphics Processing Unit (GPU) parallelization of the computation of the price of exotic cross-currency interest rate derivatives via a Partial Differential Equation (PDE) approach. In particular, we focus on the GPU-based parallel pricing of long-dated foreign exchange (FX)...

We consider a semi-Markov modulated market consisting of a riskless asset or bond, B, and a risky asset or stock, S, whose dynamics depend on a semi-Markov process x. Using the martingale characterization of semi-Markov processes, we note the incompleteness of semi-Markov modulated markets and...

We consider the martingale optimal transport duality for càdlàg processes with given initial and terminal laws. Strong duality and existence of dual optimizers (robust semi-static superhedging strategies) are proved for a class of payoffs that includes American, Asian, Bermudan, and European...

I show that the irreversibility of dying coupled with gradual information acquisition over time on the likely arrival and eventual effectiveness of vaccines confers a real option value to lockdown strategies that delay the incidence of a pandemic.The case for lockdown strategies becomes stronger...

The goal of our paper is to show how correlation between convenience yield and commodity spot price must be and can be integrated to valuate commodity derivatives. This incorporation can be done in addition to usual factors: market prices of risk (Casassus and Collin-Dufresne, 2005) and/or...

We estimate the term structure of the price of variance risk (PVR), which helps distinguish between competing asset-pricing theories. First, we measure the PVR as proportional to the Sharpe ratio of short-term holding returns of delta-neutral index straddles; second, we estimate the PVR in a...

We derive an option-pricing formula from recursive preference and estimate rare disaster probability. The new options-pricing formula applies to far-out-of-the money put options on the stock market when disaster risk dominates, the size distribution of disasters follows a power law, and the...

The irreversibility of dying coupled with gradual information acquisition over time on the likely arrival and eventual effectiveness of vaccines confers a real option value to lockdown strategies that delay the incidence of a pandemic given a stochastic vaccine arrival/effectiveness process

Recent empirical studies report predictable dynamics in the volatility surfaces implied by observed index option prices, as prescribed by general equilibrium models. Using an extensive data set from the over-the-counter options market, we document similar predictability in the factors that...

This paper investigates price jumps in commodity markets. We find that jumps are rare and extreme events but occur less frequently than in stock markets. Nonetheless, jump correlations across commodities can be high depending on the commodity sectors. Energy, metal and grains commodities show...