This paper analyses the volatility structure of commodity derivatives markets. The model encompasses hump-shaped, unspanned stochastic volatility, which entails a finite-dimensional affine model for the commodity futures curve and quasi-analytical prices for options on commodity futures. Using...

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...

The objective of this paper is to consider defaultable term structure models in a general setting beyond standard risk-neutral models. Using as numeraire the growth optimal portfolio, defaultable interest rate derivatives are priced under the real-world probability measure. Therefore, the...

According to the expectations hypothesis, the forward rate is equal to the expected future short rate, an argument that is not supported by most empirical studies that demonstrate the existence of term premiums. An alternative arbitrage-free term structure model for reviewing the expectations...

According to the expectations hypothesis, the forward rate is equal to the expected future short rate, an argument that is not supported by most empirical studies that demonstrate the existence of term premiums. An alternative arbitrage-free term structure model for reviewing the expectations...

This paper proposes a framework for pricing credit derivatives within the defaultable Markovian HJM framework featuring unspanned stochastic volatility. Motivated by empirical evidence, hump-shaped level dependent stochastic volatility specifications are proposed, such that the model admits...

This paper analyzes the volatility structure of the commodity derivatives markets. The model encompasses stochastic volatility that may be unspanned by the futures contracts. A generalized hump-shaped volatility specification is assumed that entails a finite-dimensional affine model for the...

Commodity is one of the most volatile markets and forecasting its volatility is an issue of paramount importance. We study the dynamics of the commodity markets volatility by employing fractional stochastic volatility and heterogeneous autoregressive (HAR) models. Based on a high-frequency...

This paper examines the pricing of interest rate derivatives when the interest rate dynamics experience infrequent jump shocks modelled as a Poisson process and within the Markovian HJM framework developed in Chiarella amp; Nikitopoulos (2003). Closed form solutions for the price of a bond...

The defaultable forward rate is modeled as a jump diffusion process within the Schonbucher (2000, 2003) general Heath, Jarrow and Morton (1992) framework where jumps in the defaultable term structure cause jumps and defaults to the defaultable bond prices. Within this framework, we investigate...