We consider the joint dynamic of a basket of n-assets where each asset itself follows a SABR stochastic volatility model. Using the Markovian Projection methodology we approximate a univariate displaced diffusion SABR dynamic for the basket to price caps and floors in closed form. This enables...

This paper studies the application of exact simulation methods for multi-dimensional multiplicative noise stochastic differential equations to filtering. Stochastic differential equations with multiplicative noise naturally occur as Zakai equation in hidden Markov chain filtering. The paper...

It is often important, in applications of stochastic calculus to financial modelling, to know whether a given local martingale is a martingale or a strict local martingale. We address this problem in the context of a time-homogenous diffusion process with a finite lower boundary, presented as...

In this paper we introduce methods based upon Lie symmetry analysis for the construction of explicit fundamental solutions of multidimensional parabolic PDEs. We give applications to the problem of finding transition probability densities for multidimensional diffusions and to representation theory.

The duo IPO anomalies of underpricing and long run underperformance have inspired a plethora of studies. Yet few have examined the impact of majority investors in IPOs, namely institutional investors. Consistent with previous studies, we found large underpricing which was greatest in those...

It has long been accepted in finance that risk plays an important role in determining valuation where risk reflects that investors are unsure as to the exact value of future returns but are able to express their prior expectations by way of a probability distribution of these returns. Knights...

This paper is the first to conduct an event study on the market response to exploration, resource and reserve announcements made by mining firms. Results from an event study using a matched firm approach that suggest that markets react positively to both the exploration and the resource...

Stock mispricing can lead to misallocation and wastage of capital both inter-temporally and across sectors. The USAGE model for the United States is used to quantify economic costs under a number of mispricing scenarios, made operational by shocking Tobin’s q. A two-year Communications and...

The Global Financial Crisis (GFC) has rekindled debate about the desirability of governmental interference in asset markets – either through the operation of policy levers, or, through the chosen institutional setup. In this paper we quantify economic costs due to mispricing of real assets in...

Long dated contingent claims are relevant in insurance, pension fund management and derivative pricing. This paper proposes a paradigm shift in the valuation of long term contracts, away from classical no-arbitrage pricing towards pricing under the real world probability measure. In contrast to...