We present the non-Gaussian extension of the traditional Merton framework, which takes into account slowly relaxing fluctuations of the volatility of the firm's market value of financial assets. The minimal version of the model depends on the Tsallis entropic parameter q and the generalized...

In this paper, we extend the framework of Leland's 94 by examining corporate debt, equity and firm values with jump-difffusion processes. We choose two kinds of jumps such as the uniform and double exponential jumps to model the distribution of the log jump sizes. By this choice, we are able to...

The empirical tests of traditional structural models of credit risk tend to indicate that such models have been unsuccessful in the modeling of credit spreads. To address these negative findings some authors introduce single-factor stochastic volatility specifications and/or jumps.In the yield...

We study saddlepoint approximations to the tail-distribution for different credit portfolio losses in continuous time intensity based models which stochastic recoveries, under conditional independent homogeneous settings. In such models, conditional on the filtration generated by the individual...

Within the structural approach for credit risk models we discuss the optimal exercise of the callable and convertible bonds. The Vasiĕk-model is applied to incorporate interest rate risk into the firm’s value process which follows a geometric Brownian motion. Finally, we derive pricing bounds...

Default probability is a fundamental variable determining the credit worthiness of a firm and equity volatility estimation plays a key role in its evaluation. Assuming a structural credit risk modeling approach, we study the impact of choosing different non parametric equity volatility...

We study an optimal execution problem in the presence of market impact where the security price follows a geometric Ornstein-Uhlenbeck process, which implies the mean-reverting property, and show that the optimal strategy is a mixture of initial/terminal block liquidation and gradual ntermediate...

We present a stochastic simulation forecasting model for stress testing aimed at assessing banks' capital adequacy, financial fragility and probability of default. The paper provides a theoretical presentation of the methodology and the essential features of the forecasting model on which it is...

We present a simple continuous-time model of clearing in financial networks. Financial firms are represented as “tanks” filled with fluid (money), flowing in and out. Once the “pipes” connecting the “tanks” are open, the system reaches the clearing payment vector in finite time....