The paper calculates prices for special options using mixed-exponential jumps.
arXiv research
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This paper stidies the first passage times to constant boundaries for mixed-exponential jump diffusion processes. Explicit solutions of the Laplace transforms of the distribution of the first passage times, the joint distribution of the first passage times and undershoot (overshoot) are obtained. As applications, we pr…
We develop a new Monte Carlo variance reduction method to estimate the expectation of two commonly encountered path-dependent functionals: first-passage times and occupation times of sets. The method is based on a recursive approximation of the first-passage time probability and expected occupation time of sets of a Le…
In this paper we propose a closed-form approximation for the price of basket options under a multivariate Black-Scholes model, based on Taylor expansions and the calculation of mixed exponential-power moments of a Gaussian distribution. Our numerical results show that a second order expansion provides accurate prices o…
In this paper we use Bernstein and Chebyshev polynomials to approximate the price of some basket options under a bivariate Black-Scholes model. The method consists in expanding the price of a univariate related contract after conditioning on the remaining underlying assets and calculating the mixed exponential-power mo…
Efficient online control algorithms for noisy systems with quadratic losses.
Frame flows on certain symmetric spaces mix exponentially.
Improved Swendsen-Wang sampler speeds up learning attractive GMs.
Study proves projective Anosov subgroups lead to mixing flows in specific spaces.
New RL method MAC improves performance in sparse reward settings.
The paper develops new methods to approximate ruin probabilities in a perturbed risk model.