Concept

Lettres grecques en mathématiques financières

Machine Learning for Modeling Stock Returns

Throughout history, the pace of knowledge and information sharing has evolved into an unthinkable speed and media. At the end of the XVII century, in Europe, the ideas that would shape the "Age of Enlightenment" were slowly being developed in coffeehouses, ...

EPFL2024

Exchange options with stochastic liquidity risk

Puneet Pasricha

In this article, we account for the liquidity risk in the underlying assets when pricing European exchange options, which has not been considered in the literature. An Ornstein-Uhlenbeck process with the mean -reversion property is selected to model the ma ...

PERGAMON-ELSEVIER SCIENCE LTD2023

Automated Design Appraisal: Estimating Real Estate Price Growth and Value at Risk Due to Local Development

Adam Robert Swietek

Financial criteria in architectural design evaluation are limited to cost performance. Here, I introduce a method – Automated Design Appraisal (ADA) – to predict the market price of a generated building design concept within a local urban context. Integrat ...

2023

Informed Trading in the Stock Market and Option Price Discovery

Pierre Collin Dufresne

When activist shareholders file Schedule 13D filings, the average excess return on target stocks is 6% and stock price volatility drops by about 10%. Prior to filing days, volatility (price) information is reflected in option (stock) prices. Using a compre ...

2021

Option pricing with orthogonal polynomial expansions

Damir Filipovic, Damien Edouard Ackerer

We derive analytic series representations for European option prices in polynomial stochastic volatility models. This includes the Jacobi, Heston, Stein-Stein, and Hull-White models, for which we provide numerical case studies. We find that our polynomial ...

2020

Numerical methods for option pricing: polynomial approximation and high dimensionality

Francesco Statti

Options are some of the most traded financial instruments and computing their price is a central task in financial mathematics and in practice. Consequently, the development of numerical algorithms for pricing options is an active field of research. In gen ...

EPFL2019

On the American swaption in the linear-rational framework

Damir Filipovic

We study American swaptions in the linear-rational (LR) term structure model introduced in Filipović et al. [J. Finance., 2017, 72, 655–704]. The American swaption pricing problem boils down to an optimal stopping problem that is analytically tractable. It ...

2018

The Jacobi stochastic volatility model

Damien Edouard Ackerer, Damir Filipovic, Sergio Andres Pulido Nino

We introduce a novel stochastic volatility model where the squared volatility of the asset return follows a Jacobi process. It contains the Heston model as a limit case. We show that the joint density of any finite sequence of log-returns admits a Gram–Cha ...

2018

Three Essays on Predictability and Seasonality in the Cross-Section of Stock Returns

Vincent Jean Bogousslavsky

This thesis examines predictability and seasonality in the cross-section of stock returns. The first chapter, titled ``Infrequent Rebalancing, Return Autocorrelation, and Seasonality,'' shows that a model of infrequent rebalancing can explain specific pred ...

EPFL2017

Insider Trading, Stochastic Liquidity, And Equilibrium Prices

Pierre Collin Dufresne

We extend Kyle's (1985) model of insider trading to the case where noise trading volatility follows a general stochastic process. We determine conditions under which, in equilibrium, price impact and price volatility are both stochastic, driven by shocks t ...

Wiley-Blackwell2016