The aim of this paper is to provide a new straightforward \textit{measure-free} methodology based on a convex hulls to determine the no-arbitrage pricing bounds of an option (European or American). The pedagogical interest of our methodology is also briefly discussed. The central result, which...

We prove here a general closed-form expansion formula for forward-start options and the forward implied volatility smile in a large class of models, including the Heston stochastic volatility and time-changed exponential Levy models.This expansion applies to both small and large maturities and...

This paper studies the problem of understanding implied volatilities from options written on leveraged exchanged-traded funds (LETFs), with an emphasis on the relations between LETF options with different leverage ratios. We first examine from empirical data the implied volatility skews for LETF...

Known discrete dollar dividends lead to non-recombining binomial trees (NR-BT) with an explosion of nodes, which are more difficult to implement and much less efficient. This paper proposes a method for constructing a recombining binomial tree via balanced dividend adjustments (BDA). BDA splits...

In this work, we suggest a novel quadratic programming-based algorithm to generate an arbitrage-free call option surface. Our approach relies on a regression spline-based implementation of the framework proposed by Orosi (2011) who presents a multi-parameter extension of the models of Figlewski...

The advent of quantitative investing has made it increasingly important to understand the performance drivers of systematic strategies that use derivatives, such as those based on the sale of options. In this paper we introduce a new formulaic representation to analyse the performance of...

We develop space-time adaptive and high-order methods for valuing American options using a partial differential equation (PDE) approach. The linear complementarity problemarising due to the free boundary is handled by a penalty method. Both finite difference and finite element methods are...

Many efficient and accurate analytical methods for pricing American options now exist. However, while they can produce accurate option prices, they often do not give accurate critical stock prices. In this paper, we propose two new analytical approximations for American options based on the...

The study proposes an arbitrage-free methodology of VIX term structure modeling that is tailored to handle the most actively traded VIX options. Under the model, the evolution of future VIX is completely determined by the volatility function of forward VIX squared normalized by VIX futures...

Based on the works of Brockman and Turtle (2003) and Giesecke (2004), we propose in this study a hybrid barrier option model to explain observed credit spreads. It is free of problems with the structural model which underprescribed credit spreads for investment grade corporate bonds and...