The Libor Market Model describes the evolution of a discrete subset of all interest rates quoted in the market. Generation of the complete yield curve from a simulated set of rates (the so-called "Libor rate interpolation") is one of the basic challenges which are faced by a practical user of...

Over the last years, the usage of fractional Brownian motion for financial models was stuck. The favorable time-series properties of fractional Brownian motion exhibiting long-range dependence came along with an apparently insuperable shortcoming: the existence of arbitrage. In this article, we...

Under the assumption of absence of arbitrage, European option quotes on a given asset must satisfy well-known inequalities, which have been described in the landmark paper Merton (1973). If we further assume that there is no interest rate volatility and that the underlying asset continuously...

This paper presents a class of defaultable term structure models within the HJM framework with stochastic volatility. Under certain volatility specifications, the model admits finite dimensional Markovian structures and consequently provides tractable solutions for interest rate derivatives. We...

We consider a linear factor APT model and assume that agents are ambiguity averse with respect to payoffs of arbitrage portfolios. In contrast to the standard result, pricing errors need not converge to zero in the limit as the number of assets goes to infinity. Even in the case of exact factor...

The mainstream model of option pricing is based on an exogenously given process of price movements. The implication of this assumption is that price movements are not affected by actions of market participants. However, if we assume that there are indeed impacts on the price movements it no...

A traditional VaR approach is not suitable to assess the risk that merger arbitrage funds carry in their portfolios. We propose a simple two-state or three-state model that captures the risk characteristics of the deals in which merger arbitrage funds invest.This model has been tested on a set...

A traditional VaR approach is not suitable to assess the risk of merger arbitrage hedge funds. We recently proposed a simple two- or three-state model that captures the risk characteristics of the deals in which merger arbitrage funds invest. Here, we refine the model, and demonstrate that it...

The recent financial crisis has spiked the credit and liquidity premia among financial products, and significant widening of basis spreads among Libors with different tenors and currencies has been observed in interest rate markets. Our previous work, "A Note on Construction of Multiple Swap...