Showing 1 - 10 of 218
We propose an accurate data-driven numerical scheme to solve stochastic differential equations (SDEs), by taking large time steps. The SDE discretization is built up by means of the polynomial chaos expansion method, on the basis of accurately determined stochastic collocation (SC) points. By...
Persistent link: https://www.econbiz.de/10013093086
The aim of this project is to develop a stochastic simulation machine that generates individual claims histories of non …-life insurance claims. This simulation machine is based on neural networks to incorporate individual claims feature information. We … simulation machine allows everyone to simulate their own synthetic insurance portfolio of individual claims histories and back …
Persistent link: https://www.econbiz.de/10011811737
simulation of the skeleton of such processes and propose a novel procedure when they coincide with compound Poisson processes of … Ornstein-Uhlenbeck type. We illustrate the applicability of the theoretical findings and the simulation algorithms in the …
Persistent link: https://www.econbiz.de/10013368314
This paper presents a comprehensive extension of pricing two-dimensional derivatives depending on two barrier constraints. We assume randomness on the covariance matrix as a way of generalizing. We analyse common barrier derivatives, enabling us to study parameter uncertainty and the risk...
Persistent link: https://www.econbiz.de/10011556565
pricing variance, volatility, covariance and correlation swaps for financial markets with semi-Markov volatilities. The paper … correlation swaps for these markets. Formulas used for the numerical evaluation of averaged variance, volatility, covariance and … correlation swaps with semi-Markov volatilities are presented as well. The formulas that are detailed within the paper are …
Persistent link: https://www.econbiz.de/10014375249
to as PD-LGD correlation (here PD refers to probability of default, which is often used synonymously with default rate …). There is a large literature on modelling stochastic LGD and PD-LGD correlation, but there is a dearth of literature on using … deviation probabilities across a wide variety of PD-LGD correlation models that have been proposed in the literature. …
Persistent link: https://www.econbiz.de/10012203783
In this paper, we review pricing of the variable annuity living and death guarantees offered to retail investors in many countries. Investors purchase these products to take advantage of market growth and protect savings. We present pricing of these products via an optimal stochastic control...
Persistent link: https://www.econbiz.de/10011507624
This article proposes an interest rate model ruled by mean reverting Lévy processes with a sub-exponential memory of their sample path. This feature is achieved by considering an Ornstein-Uhlenbeck process in which the exponential decaying kernel is replaced by a Mittag-Leffler function. Based...
Persistent link: https://www.econbiz.de/10012804840
In insurance mathematics, optimal control problems over an infinite time horizon arise when computing risk measures. An example of such a risk measure is the expected discounted future dividend payments. In models which take multiple economic factors into account, this problem is...
Persistent link: https://www.econbiz.de/10012391761
We propose a fully data-driven approach to calibrate local stochastic volatility (LSV) models, circumventing in particular the ad hoc interpolation of the volatility surface. To achieve this, we parametrize the leverage function by a family of feed-forward neural networks and learn their...
Persistent link: https://www.econbiz.de/10012373082