This paper presents a new numerical method for pricing American call options when the volatility of the price of the … volatility changes, we derive an integral representation of an American call price and the early exercise premium which holds … under stochastic volatility. This representation is used to develop a numerical method for pricing the American options …

The 1987 market crash was associated with a dramatic and permanent steepening of the implied volatility curve for …

volatility and risk aversion that are similar to the ones observed in the data. In addition, the model produces an implied …

admissible sets of for-ward swap rates spanning a given tenor structure. We relate this conceptto results in graph theory by …

utility increases significantly when allowed to span the volatility risk using variance swap contracts. …, the industry has created a series of variance derivative products to span variance risk. The variance swap contract is the … rate, called the variance swap rate, determined at the inception of the contract. We obtain a decade worth of variance swap …

We investigate the influence of various variables on credit default swap transaction data. Credit derivatives are …

This paper provides regime-switching stochastic volatility extensions of the LIBOR market model. First, the … instantaneous forward LIBOR volatility is modulated by a continuous time homogeneous Markov chain. In a second parameterization, the … volatility is modelled by a square root process with a regime-switching reference level. We obtain analytical solutions for the …

new explanation of the smile pattern of implied volatility related to the lack of market liquidity. Finally we present …