This paper presents an approach to a macroprudential stress test for the euro area banking system, comprising the 91 largest euro area credit institutions across 19 countries. The approach involves modelling banks’ reactions to changing economic conditions. It also examines the effects of...

In this paper, we study financial markets with stochastic volatilities driven by fractional Brownian motion with Hurst index H1/2. Our models include fractional versions of Ornstein-Uhlenbeck, Vasicek, geometric Brownian motion and continuous-time GARCH models. We price variance and volatility...

The valuation of the variance swaps for local Levy based stochastic volatility with delay (LLBSVD) is discussed in this paper. We provide some analytical closed forms for the expectation of the realized variance for the LLBSVD. As applications of our analytical solutions, we fit our model to 10...

In this paper, we model financial markets with semi-Markov volatilities and price covarinace and correlation swaps for this markets. Numerical evaluations of varinace, volatility, covarinace and correlations swaps with semi-Markov volatility are presented as well. The novelty of the paper lies...

We consider a merging principle for the endemic SIR model in a semi-Markov random media. Under merging conditions of a semi-Markov media we show that the perturbed endemic SIR model converges to the merged Markov endemic SIR model with coe cients which depend on merged Markov process. Novelty of...

We introduce and study a new stochastic SARS model (based on stochastic SIR model with semi-Markov regime-switchings) and investigate its behavior in averaging, merging and diffusion approximation schemes. The main method is based on general theory of random differential equations in semi-Markov...

Some commodity prices, like oil and gas, exhibit the mean reversion, unlike stock price. It means that they tend over time to return to some long-term mean.In this paper we consider a risky asset S_t following the mean-reverting stochastic process. The aim of this paper is to obtain an explicit...

In this paper, we present variance and volatility swaps valuations for the COGARCH (1,1) model intriduced by Kl\"{u}ppelberg, Lindner and Maller (2005). We consider two numerical examples: compound Poisson COGARCH(1,1) and variance gamma COGARCH(1,1) processes. Also, we demonstrate two different...