We price multi-asset options by solving their price partial differential equations using a meshfree approach with radial basis functions under jump-diffusion and geometric Brownian motion frameworks. In the geometric Brownian motion framework, we propose an effective technique that breaks the...

Even in the simple case that two price processes follow correlated geometric Brownian motions with constant volatility no analytic formula for the price of a standard European spread option has been derived, except when the strike is zero in which case the option becomes an exchange option. This...

This paper expresses the price of a spread option as the sum of the prices of two compound options. One compound option is to exchange vanilla call options on the two underlying assets and the other is to exchange the corresponding put options. This way we derive a new analytic approximation for...

We derive a general analytic approximation for pricing basket options on N assets, which is extended to analytic approximations for pricing general rainbow options, including best-of and worst-of N asset options. The key idea is to express the option's price as a sum of prices of various...

We develop and test a fast and accurate semi-analytical formula for single-name default swaptions in the context of the shifted square root jump diffusion (SSRJD) default intensity model. The formula consists of a decomposition of an option on a summation of survival probabilities in a summation...

The price of a European option can be computed as the expected value of the payoff function under the risk-neutral measure. For American options and path-dependent options in general, this principle can not be applied. In this paper, we derive a model-free analytical formula for the implied...

The article examines whether commodity risk is priced in the cross-section of equity returns. Alongside a long-only equally-weighted portfolio of commodity futures, we employ as an alternative commodity risk factor a term structure portfolio that captures the propensity of commodity futures...

The majority of risk adjusted performance measures (RAPM) currently in use – e.g., Treynor ratio, (?/?)) ratio, Omega index, RoVaR, ‘coherent’ preference criteria, etc. – are incompat- ible with any sensible utility function and would be best avoided. We argue instead for the assessment...

The study examines the existence of liquidity risk premia on freight derivatives returns. The Amihud liquidity ratio and bid-ask spreads are utilized to assess the existence of liquidity premia. Other macroeconomic variables are used to control for market risk. Results indicate that liquidity...

This paper provides and empirical examination of four European equity indices between 1991 and 2005. We investigate the ability of fifteen different GARCH models to capture the characteristics of historical daily returns effectively and generate realistic implied volatility skews. Using many...