arXiv research

Study optimal stopping for variable annuity contracts with discontinuous rewards.

We find the minimum probability of lifetime ruin of an investor who can invest in a market with a risky and a riskless asset and who can purchase a reversible life annuity. The surrender charge of a life annuity is a proportion of its value. Ruin occurs when the total of the value of the risky and riskless assets and t…

The paper analyzes Variable Annuities with surrender charges, providing a pricing formula and optimal exercise boundary.

Study of participating policies with guaranteed minimum interest rate and surrender option.

The study improves life insurance surrender risk modeling using various machine learning techniques.

Under the optimal withdrawal strategy of a policyholder, the pricing of variable annuities with Guaranteed Minimum Withdrawal Benefit (GMWB) is an optimal stochastic control problem. The surrender feature available in marketed products allows termination of the contract before maturity, making it also an optimal stoppi…

This paper proposes a market consistent valuation framework for variable annuities with guaranteed minimum accumulation benefit, death benefit and surrender benefit features. The setup is based on a hybrid model for the financial market and uses time-inhomogeneous Lévy processes as risk drivers. Further, we allow for d…

Study analyzes fees linked to VIX index in annuity contracts.

Enhances valuation of variable annuities with stochastic interest rate models.

The paper values variable annuities using complex stochastic models and deep learning.

Novel pricing method for equity-indexed annuities under uncertain volatility and stochastic interest rate.

Model evaluates insurance risk using thermodynamic principles.

We study the modelling and valuation of surrender and other behavioural options in life insurance and pension. We place ourselves in between the two extremes of completely arbitrary intervention and optimal intervention by the policyholder. We present a method that is based on differential equations and that can be use…

Study on charged parallel spinors and mass-charge inequalities.

Throughout the literature on the charged Riemannian Penrose inequality, it is generally assumed that there is no charged matter present; that is, the electric field is divergence-free. The aim of this article is to clarify when the charged Riemannian Penrose inequality holds in the presence of charged matter, and when …

Two approaches detect EV charging patterns at stations.

Area-charge inequalities and local rigidity of free boundary MOTS in charged initial data sets

In this paper we investigate the extension of the charged Riemannian Penrose inequality to the case where charges are present outside the horizon. We prove a positive result when the charge densities are compactly supported, and present a counterexample when the charges extend to infinity. We also discuss additional ex…

Charge measurements for instantons and gravitational perturbations.

Researchers resolved ambiguities in gravitational radiation charges.

We present a proof of the Riemannian Penrose inequality with charge $r\leq m + \sqrt{m^2-q^2}$, where $A=4πr^2$ is the area of the outermost apparent horizon with possibly multiple connected components, $m$ is the total ADM mass, and $q$ the total charge of a strongly asymptotically flat initial data set for the Einste…

We show how to reduce the general formulation of the mass-angular momentum-charge inequality, for axisymmetric initial data of the Einstein-Maxwell equations, to the known maximal case whenever a geometrically motivated system of equations admits a solution. It is also shown that the same reduction argument applies to …

The paper develops a valuation framework for GLWB-LTC contracts with Levy dynamics and stochastic interest rates.

The paper proves positive energy-momentum theorems for charged AdS initial data sets.

Study of charged scalar fields on Reissner-Nordström spacetimes via energy estimates.

Electric vehicles (EVs) have been gaining popularity due to their environmental friendliness and efficiency. EV charging station networks are scalable solutions for supporting increasing numbers of EVs within modern electric grid constraints, yet few tools exist to aid the physical configuration design of new networks.…

Two oppositely charged droplets of (say) water in e.g. oil or air will tend to drift together under the influence of their charges. As they make contact, one might expect them to coalesce and form one large droplet, and this indeed happens when the charge difference is sufficiently small. However, Ristenpart et al disc…

In this paper, we prove conformal positive mass theorems for asymptotically flat manifolds with charge. We apply conformal relations to show that if the conformal sum of scalar curvature is not less than the norm square of electric field and electric density, the sum of the mass will not less than the modulus of total …

A universal inequality that bounds the charge of a body by its size is presented, and is proven as a consequence of the Einstein equations in the context of initial data sets which satisfy an appropriate energy condition. We also present a general sufficient condition for the formation of black holes due to concentrati…

Extends Young integral to Hölder differential forms in arbitrary dimensions.

Classifies charge-3 monopoles with symmetry, identifying new spectral curves.

Proof confirms cosmic censorship for charged gravitational collapse.

Second part of series studying charged scalar fields on Reissner--Nordström spacetimes.

Study shows how charged MOTS restrict spacetime configurations.

Positive energy theorems for spin initial data with charge in higher dimensions.

Study spin-0 fields on n-dimensional Minkowski spacetimes, computing asymptotic charges.

A federated graph learning approach improves EV charging demand forecasting while protecting against cyberattacks.

We establish the charged Penrose inequality for time symmetric initial data sets having an outermost minimal surface boundary and finitely many asymptotically cylindrical ends, with an appropriate rigidity statement. This is accomplished by a doubling argument based on the work of Weinstein and Yamada, and a subsequent…

Cohomotopy charge quantization implies String structure on M5-branes.

Challenge forecasts EV charging station usage accurately.

Researchers extend topological classification to knotted semimetals in 3D.

Closed and broken electromagnetic orbits in Kerr-Newman spacetime

We propose a new definition for the abelian magnetic charge density of a non-abelian monopole, based on zero-modes of an associated Dirac operator. Unlike the standard definition of the charge density, this density is smooth in the core of the monopole. We show that this charge density induces a magnetic field whose ex…

The paper explores rigid geometric structures near surfaces with equality in area-charge inequalities.

Sharp bounds for charged Hawking mass in electrostatic space-times.

The article proves charged quasi-local Penrose inequalities for compact manifolds with boundary.

In arXiv:0905.2622v1 and arXiv:0910.4785v1, Bray and Khuri outlined an approach to prove the Penrose inequality for general initial data sets of the Einstein equations. In this paper we extend this approach so that it may be applied to a charged version of the Penrose inequality. Moreover, assuming that the initial dat…

A parameter-free statistical model is used to study multiplicity signatures for coherent production of charged-pairs of parabosons of order p=2 in comparison with those arising in the case of ordinary bosons, p=1. Two non-negative real parameters arise because "ab" and "ba" are fundamentally distinct pair operators of …