The Journal of Computational Finance is an international peer-reviewed journal dedicated to advancing knowledge in the area of financial mathematics. The journal is focused on the measurement, management and analysis of financial risk, and provides detailed insight into numerical and computational techniques in the pricing, hedging and risk management of financial instruments.
The journal welcomes papers dealing with innovative computational techniques in the following areas:
- Numerical solutions of pricing equations: finite differences, finite elements, and spectral techniques in one and multiple dimensions.
- Simulation approaches in pricing and risk management: advances in Monte Carlo and quasi-Monte Carlo methodologies; new strategies for market factors simulation.
- Optimization techniques in hedging and risk management.
- Fundamental numerical analysis relevant to finance: effect of boundary treatments on accuracy; new discretization of time-series analysis.
- Developments in free-boundary problems in finance: alternative ways and numerical implications in American option pricing.
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In this paper, the authors study factor-based subordinated Lévy processes in their variance gamma (VG) and normal inverse Gaussian (NIG) specifications, and focus on their ability to price multivariate exotic derivatives.
Hybrid finite-difference/pseudospectral methods for the Heston and Heston–Hull–White partial differential equations
In this paper, the authors propose a hybrid spatial finite-difference/pseudospectral discretization for European option-pricing problems under the Heston and Heston–Hull–White models.
Adjoint algorithmic differentiation tool support for typical numerical patterns in computational finance
This paper demonstrates the flexibility and ease in using C++ algorithmic differentiation (AD) tools based on overloading to numerical patterns (kernels) arising in computational finance.
This paper develops a Monte Carlo method to price instruments with discontinuous payoffs and non-smooth trigger functions, which allows a stable computation of Greeks via finite differences.
Pricing multidimensional financial derivatives with stochastic volatilities using the dimensional-adaptive combination technique
In this paper, the authors present a new and general approach to price derivatives based on the Black–Scholes partial differential equation (BS-PDE) in a multidimensional setting.
In this paper, the authors give a decomposition formula to calculate the vega index (sensitivity with respect to changes in volatility) for options with prices that depend on the extrema (maximum or minimum) and terminal value of the underlying stock…
This paper proposes a numerical optimization approach that can be used to solve portfolio selection problems including several assets and involving objective functions from cumulative prospect theory (CPT).
In this paper, the authors study a hybrid tree/finite-difference method, which allows us to obtain efficient and accurate European and American option prices in the Heston–Hull– White and Heston–Hull–White2d models.
This paper considers the problem of European option pricing in the presence of a proportional transaction cost when the price of the underlying follows a jump–diffusion process.
This paper extends and refines the method of option pricing by frame projection of risk-neutral densities to incorporate B-splines.
This paper proposes a generalized risk budgeting approach to portfolio construction.
This paper proposes an efficient algorithm to value two popular crediting formulas found in equity-indexed annuities – APP and MPP – under general Lévy-process-based index returns.
In this paper, the authors propose a new method of constructing volatility surfaces for foreign exchange options.
In this paper, the author considers a special type of nonlinear PDE that arises by applying optimization to some financial problems.
This paper proposes a nonparametric local volatility Cheyette model and applies it to pricing interest rate swaptions.
This paper introduces a local volatility model for the valuation of options on commodity futures by using European vanilla option prices.
Investment opportunities forecasting: a genetic programming-based dynamic portfolio trading system under a directional-change framework
This paper presents an autonomous effective trading system devoted to the support of decision-making processes in the financial market domain.
This paper proposes a method for overhedging weighted variance using only a finite number of maturities.
This paper presents a natural extension of the LGM that keeps the affine structure and generates an implied volatility smile.
The authors provide a bound for the error committed when using a Fourier method to price European options, when the underlying follows an exponential Lévy dynamic.