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Rootless Vol

Kent Osband discusses the Brownian motion in this Wilmott article.

Kent Osband
Tue 1 Feb 2022
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Software Frameworks in Quantitative Finance, Part I Fundamental Principles and Applications to Monte Carlo Methods

In this Wilmott article, Daniel J. Duffy and Joerg Kienitz discuss a number of ongoing efforts when developing customizable software systems and frameworks for problems in Quantitative Finance.

Daniel J. Duffy and Joerg Kienitz
Tue 1 Feb 2022
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Building Your Wings on the Way Down

Aaron Brown discusses financial risk in this article from Wilmott Magazine.

Aaron Brown
Tue 4 Jan 2022
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Amaranthus Extermino

What does the 2006 Amaranth Advisors natural gas hedge fund disaster tell us about the state of hedge funds?

Bill Ziemba and Rachel Ziemba
Tue 4 Jan 2022
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Introduction to Variance Swaps

The purpose of this article is to introduce the properties of variance swaps, and give insights into the hedging and valuation of these instruments from the particular lens of an option trader.

Sebastien Bossu
Tue 7 Dec 2021
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Monte Carlo in Esperanto

This article shows how a simple parser environment in Excel/VBA could be used to perform single and multi-dimensional Monte Carlo.

Krishna Kumar
Thu 4 Nov 2021
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Numerical Methods for the Markov Functional Model

Some numerical methods for efficient implementation of the 1- and 2-factor Markov Functional models of interest rate derivatives are proposed.

Simon Johnson
Thu 4 Nov 2021
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Order Statistics for Value at Risk Estimation and Option Pricing

We apply order statistics to the setting of VaR estimation. Here techniques like historical and Monte Carlo simulation rely on using the k-th heaviest loss to estimate the quantile of the profit and loss distribution of a portfolio of assets. We show that when the k-th heaviest loss is used the expected quantile and its error will be independent of the portfolio composition and the return functions of the assets in the portfolio.

Frederik Herzberg & Christoph Bennemann
Tue 12 Oct 2021
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Pricing Rainbow Options

A previous paper (West 2005) tackled the issue of calculating accurate uni-, bi- and trivariate normal probabilities. This has important applications in the pricing of multiasset options, e.g. rainbow options. In this paper, we derive the Black—Scholes prices of several styles of (multi-asset) rainbow options using change-of-numeraire machinery. Hedging issues and deviations from the Black-Scholes pricing model are also briefly considered.

Peter Ouwehand & Graeme West
Tue 12 Oct 2021
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Finformatics: How to Measure Really Small Things

The orthodoxy has tendency to ignore drift which leaves opportunity for finformaticians the market over…

Kent Osband
Wed 15 Sep 2021

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