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Quantitative Risk Management in R

Beginner

Updated 12/2024

Work with risk-factor return series, study their empirical properties, and make estimates of value-at-risk.

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RApplied Finance5 hours18 videos55 exercises4,350 XP14,562Statement of Accomplishment

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Course Description

In Quantitative Risk Management (QRM), you will build models to understand the risks of financial portfolios. This is a vital task across the banking, insurance and asset management industries. The first step in the model building process is to collect data on the underlying risk factors that affect portfolio value and analyze their behavior. In this course, you will learn how to work with risk-factor return series, study the empirical properties or so-called "stylized facts" of these data - including their typical non-normality and volatility, and make estimates of value-at-risk for a portfolio.

Prerequisites

Manipulating Time Series Data in R

1

Exploring Market Risk-Factor Data

Welcome to the course!

Exploring risk-factor time series: equity indexes

Exploring risk-factor time series: individual equities

Exploring risk-factor data: exchange rates

Risk-factor returns

Exploring return series

Different ways of plotting risk-factor and return series

Aggregating log-returns

Aggregating log-return series

A test on aggregation of log-returns

Exploring other kinds of risk factors

Commodities data

Interest-rate data

2

Real World Returns are Riskier Than Normal

The normal distribution

Graphical methods for assessing normality

Testing for normality

Q-Q plots for assessing normality

Skewness, kurtosis and the Jarque-Bera test

Numerical tests of normality

Testing normality for longer time horizons

Overlapping returns

Reviewing knowledge of normal distributions and returns

The Student t distribution

Fitting t distribution to data

Testing FX returns for normality

Testing interest-rate returns for normality

Testing gold price returns for normality

3

Real World Returns are Volatile and Correlated

Characteristics of volatile return series

Spotting a volatile time series

Estimating serial correlations

Using acf plots to reveal volatility

The Ljung-Box test

Applying Ljung-Box tests to return data

Applying Ljung-Box tests to longer-interval returns

Looking at the extremes in volatile return series

Extreme values in volatile time series

Cross correlations between risk-factor return series

The stylized facts of return series

Volatility and correlation of FX returns

Volatility and correlation of interest-rate data

Reviewing knowledge of volatility and correlation

4

Estimating Portfolio Value-at-Risk (VaR)

Value-at-risk and expected shortfall

Computing VaR and ES for normal distribution

International equity portfolio

Examining risk factors for international equity portfolio

Historical simulation

Estimating VaR and ES

Option portfolio and Black Scholes

Compute Black-Scholes price of an option

Equity and implied volatility risk factors

Historical simulation for the option example

Historical simulation of losses for option portfolio

Estimating VaR and ES for option portfolio

Computing VaR for weekly losses

Quantitative Risk Management in R

Course
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