Financial risk modeling | Monte Carlo methods in finance | Actuarial science

Tail value at risk

Tail value at risk (TVaR), also known as tail conditional expectation (TCE) or conditional tail expectation (CTE), is a risk measure associated with the more general value at risk. It quantifies the expected value of the loss given that an event outside a given probability level has occurred. (Wikipedia).

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QRM 4-3: A Bestiary of Tails

Welcome to Quantitative Risk Management (QRM). There is so much confusion about tails, that it is time to clarify what we are speaking about. Heavy tails, long tails and fat tails are not the same thing from a statistical and probabilistic point of view. In mathematics we need to be preci

From playlist Quantitative Risk Management

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Tail risk of contagious diseases: a conversation with Nassim Nicholas Taleb

In this conversation, Nassim and I speak about our paper on the tail risk of contagious diseases and other related things. The paper will be available here on Monday 25 at 5pm (CET): https://www.nature.com/articles/s41567-020-0921-x

From playlist Talks and Interviews

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How Increasing Benefits Increases the Risk of Ruin

Explains why you do not decrease tail risks by increasing benefits, you decrease tail risk by decreasing tail risk. This is a very short exposition of a fallacy quite generalized, but particularly present in discussions concerning the benefits of GMO. Biologists dealing with probability ha

From playlist QUANT FINANCE TOPICS

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MINI-LESSON 2: Fat Tails, a Very, Very Introductory Presentation.

What are Fat Tails? This is very introductory. See the whole book (gets technical beyond Chapter 5) https://researchers.one/articles/20.01.00018

From playlist MINI LECTURES IN PROBABILITY

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FRM: Expected Shortfall (ES)

ES is a complement to value at risk (VaR). ES is the average loss in the tail; i.e., the expected loss *conditional* on the loss exceeding the VaR quantile. For more financial risk videos, visit our website! http://www.bionicturtle.com

From playlist Tail

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Risk Management 5B: Value at Risk (continued) and Expected Shortfall

This is the second part of Lesson 5. Topics: - The VaR for empirical distributions - The Expected Shortfall - Coherence of VaR and ES

From playlist Risk Management

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Tail risk of contagious diseases: a conversation with coauthor Pasquale Cirillo

Paper in Nature Physics on "the dog wags the tails", how pandemics are fat tailed and the implications. https://www.nature.com/articles/s41567-020-0921-x We also discuss the dangers of verbalistic users of statistical buzzwords without understanding probability s.a. BS vendor Philip Tetlo

From playlist TOPICS IN APPLIED PROBABILITY

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What is Value at Risk? VaR and Risk Management

In todays video we learn about Value at Risk (VaR) and how is it calculated? Buy The Book Here: https://amzn.to/37HIdEB Follow Patrick on Twitter Here: https://twitter.com/PatrickEBoyle What Is Value at Risk (VaR)? Value at risk (VaR) is a calculation that aims to quantify the level of

From playlist Risk Management

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QRM 5-1: Tails in Data - MS Plot and Concentration Profile

Welcome to Quantitative Risk Management (QRM). Let us continue our discussion about the graphical tools we can use to study tails. We will consider the very useful Max-to-Sum (MS) plot, able to tell us something about the existence of moments, and the Concentration Profile, another way of

From playlist Quantitative Risk Management

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Expected shortfall: approximating continuous, with code (ES continous, FRM T5-03)

In my previous video, I showed you how we retrieve expected shortfall under the simplest possible discrete case. That was a simple historical simulation, but that was discrete. In this video, I'm going to review expected shortfall when the distribution is continuous. Specifically, I will u

From playlist Market Risk (FRM Topic 5)

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Risks and fat tails

This is the video of my talk at the Conference on Complex Systems 2020 (CCS2020), in the satellite event organised by Alfredo J. Morales (MIT) and Rosa M. Benito (Technical University of Madrid). For privacy reasons, I have cut the video, not to show the pictures of the other participants

From playlist Talks and Interviews

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Level 1 Chartered Financial Analyst (CFA ®): Measures of dispersion including volatility

Session 2, Reading 8 (Part 2): A previous video in this CFA playlist looked at classic measures of central tendency. This is also called the first moment of the distribution or the distributions the location where is the distribution centered. When we say that I think most of us think of t

From playlist Level 1 Chartered Financial Analyst (CFA ®) Volume 1

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Environment oblivious risk-aware bandit algorithms by Jayakrishnan Nair

PROGRAM: ADVANCES IN APPLIED PROBABILITY ORGANIZERS: Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah, and Piyush Srivastava DATE & TIME: 05 August 2019 to 17 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in resear

From playlist Advances in Applied Probability 2019

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Expected shortfall (ES, FRM T5-02)

In this video, I'm going to show you exactly how we calculate expected shortfall under basic historical simulation. Expected shortfall is both desirable and timely. It's desirable because it is coherent, satisfies all four conditions of coherence, including subadditivity, whereas var does

From playlist Market Risk (FRM Topic 5)

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Kurtosis of a probability distribution (FRM T2-7)

[Here is my xls http://trtl.bz/121817-yt-kurtosis-xls] Kurtosis is the standardized fourth central moment and is a measure of tail density; e.g., heavy or fat-tails. Heavy-tailedness also tends to correspond to high peakedness. Excess kurtosis (aka, leptokurtosis) is given by (kurtosis-3).

From playlist Quantitative Analysis (FRM Topic 2)

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Excel Statistics 88: Confidence Interval & Hypothesis Tests

Download Excel File: https://people.highline.edu/mgirvin/AllClasses/210M/Content/Ch09/Busn210ch09.xls Download pdf notes: https://people.highline.edu/mgirvin/AllClasses/210M/Content/Ch09/Busn210Ch09001.pdf See the Excel functions NORMSINV for critical value and NORSDIST for p-value. Compa

From playlist Excel 2007 Statistics: Charts, Functions, Formulas

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QRM L2-2: Value-at-Risk and Expected Shortfall

Welcome to Quantitative Risk Management (QRM). In this video we briefly introduce VaR and ES. Please notice that many concepts are given for granted, and, in case you need more basic details, I refer you to extra videos (check the links appearing on screen). We shall see that ES is always

From playlist Quantitative Risk Management

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QRM L2-3: VaR and ES in R

Welcome to Quantitative Risk Management (QRM). In this lesson, we play with R to deal with VaR and ES. We show how to compute them empirically, but also in the case of normality. We then show that normality tends to underestimate tail risk, as observable in actual financial data. The pdf

From playlist Quantitative Risk Management

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QRM 5-2: The problem of estimating the tail

Welcome to Quantitative Risk Management (QRM). Let us finish our discussion about the graphical tools we can use to study tails. We briefly discuss the Moment Ratio Plot and the Zenga Plot. After that we address the problem of estimating the tail parameter, using MLE and other approaches.

From playlist Quantitative Risk Management

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Risk measure | Quantile | Probability density function | Cumulative distribution function | Continuous function | Exponential distribution | Weibull distribution | Hypergeometric function | Laplace distribution | Coherent risk measure | Dagum distribution | Generalized extreme value distribution | Spence's function | Pareto distribution | Student's t-distribution | Hyperbolic secant distribution | Expected shortfall | Log-normal distribution | Log-Laplace distribution | Log-logistic distribution | Actuarial science | Value at risk | Normal distribution | Logarithmic integral function | Random variable | Johnson's SU-distribution | Expected value | Lp space | Generalized Pareto distribution | Logistic distribution