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Introduction to Portfolio Analysis in R

GrundläggandeFärdighetsnivå

Uppdaterad 2023-11

Apply your finance and R skills to backtest, analyze, and optimize financial portfolios.

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RApplied Finance5 timmar14 videos57 exercises4,400 XP35,206Uttalande om prestation

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Kursbeskrivning

A golden rule in investing is to always test the portfolio strategy on historical data, and, once you are trading the strategy, to constantly monitor its performance. In this course, you will learn this by critically analyzing portfolio returns using the package PerformanceAnalytics. The course also shows how to estimate the portfolio weights that optimally balance risk and return. This is a data-driven course that combines portfolio theory with the practice in R, illustrated on real-life examples of equity portfolios and asset allocation problems. If you'd like to continue exploring the data after you've finished this course, the data used in the first three chapters can be obtained using the tseries-package.

Förkunskapskrav

Intermediate R for Finance

1

The Building Blocks

Asset returns and portfolio weights; those are the building blocks of a portfolio return. This chapter is about computing those portfolio weights and returns in R.

Welcome to the course

Getting a grasp of the basics

Get a feel for the data

The portfolio weights

Calculating portfolio weights when component values are given

The weights of an equally weighted portfolio

The weights of a market capitalization-weighted portfolio

The portfolio return

Calculation of portfolio returns

From simple to gross and multi-period returns

The asymmetric impact of gains and losses

PerformanceAnalytics

Buy-and-hold versus (daily) rebalancing

The time series of asset returns

The time series of portfolio returns

The time series of weights

2

Analyzing Performance

The history of portfolio returns reveals valuable information about how much the investor can expect to gain or lose. This chapter introduces the R functionality to analyze the investment performance based on a statistical analysis of the portfolio returns. It includes graphical analysis and the calculation of performance statistics expressing average return, risk, and risk-adjusted return over rolling estimation samples.

Dimensions of portfolio performance

Exploring the monthly S&P 500 returns

The monthly mean and volatility

The (annualized) Sharpe ratio

Excess returns and the portfolio's Sharpe ratio

Annualized mean and volatility

Time-variation in portfolio performance

Effect of window length choice

Rolling annualized mean and volatility

Subperiod performance analysis and the function window

Non-normality of the return distribution

Balancing risk and reward

Detecting non-normality using skewness and kurtosis

Downside risk measures

Drawdowns due to buying high, selling low

3

Performance Drivers

In addition to studying portfolio performance based on the observed portfolio return series, it is relevant to determine how individual (expected) returns, volatilities, and correlations interact to determine the total portfolio performance.

Drivers in the case of two assets

Driver 1: The assets' individual performance

Driver 2: The choice of portfolio weights

Driver 3: The correlation between the asset returns

Interpreting correlation

Using matrix notation

Making a risk-reward scatter diagram

The covariance matrix

Matrix-based calculation of portfolio mean and variance

Portfolio risk budget

Who did it?

4

Optimizing the Portfolio

We have up to now considered the portfolio weights as given. In this chapter, you learn how to determine in R the portfolio weights that are optimal in terms of achieving a target return with minimum variance, while satisfying constraints on the portfolio weights.

Modern portfolio theory of Harry Markowitz

Mean-variance based investing in DJIA stocks

Exploring monthly returns of the 30 DJIA stocks

Finding the mean-variance efficient portfolio

Effect of the return target

Imposing weight constraints

The efficient frontier

Computing the efficient frontier using a grid of target returns

Interpreting the efficient frontier

Properties of the efficient frontier

The minimum variance and maximum Sharpe ratio portfolio

In-sample vs. out-of-sample evaluation

Split-sample evaluation

Out of sample performance evaluation

It ain't over

Introduction to Portfolio Analysis in R

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