Introduction

Recall that Modern Portfolio Theory (MPT) says that investor should hold the market portfolio, weighted according to all the assets in the investment universe to achieve the maximum return per unit of risk. The level of risk can be determined by mixing the market portfolio with the risk-free asset.

Modern Portfolio Theory
Modern Portfolio Theory

However, the investment universe can be defined in different ways and there might be an argument to change the level of risk according to market conditions.

Market timing

Market timing is a style of investment that will seek to switch between the risk-free asset and the market portfolio depending on market conditions. Practically, this can mean switching between stocks and bonds.

Exercise 1.0

  • Download data from Yahoo finance for US stocks (S&P 500) and US bonds (US government)

  • Assess the relative performance of these two assets

Market timing can also relate to:

  • Equities: industry sectors. Investors may try to time the movement into cyclical stocks to coincide with an upturn in the economy.

  • Fixed income: duration and credit. Investors will take more duration and credit risk according to their assessment of economic and financial conditions.

  • Commodities: cyclical and structural. Investors may target cyclical commodities (steel, copper etc), structural changes that may affect supply and demand (i.e. climate change may reduce the demand for crude oil will raising the demand for trace metals that are used in batteries), or safety (gold)

Factor investment

Recall CAPM identifies the following equation:

\[ R_i = \alpha_i + \beta_i (MR -rf)\]

Where R is the return for security i, MR is the market return, rf is the risk-free rate, beta is the amount of market risk in the individual security and alpha is the excess return on top of the return for taking risk (beta). Market efficiency says that there is no alpha.

Beta is the market factor or equity risk premium. However, pretty soon market participants and academics found that beta was not very good at describing the returns for individual securities. Other factors have been identified. These include value and small capitalisation. Growth is a negative factor. A factor zoo has been added, including momentum, quality, defensive. Take a look at the FTW function on Bloomberg. Terman and risk factors have been identified for bonds.

Fama and French identified a three factor model. Eugene F. Fama and French (1993) and followed that up with a five factor model. Eugene F. Fama and French (2015). The factors that they identified.


Factor models

There are three main ways to look at factor performance.

Assessing the first of these is made easier by the database that has been created by economists Eugene Fama and Kenneth French at Dartmouth University. The second of these may be problematic if idiosyncratic risk is not diluted. For the third, it is possible to use the following list:

Exercise 2.0

  • Go to the Ken French factor library and download the current daily data for the standard Fama/French 5 Factors (2x3) (Daily) model. Read the Details to understand the data.

  • Import the data into R, ensure that the date is a date object.

  • Plot the 5 factors performance since July 1963. Which is the best performing?

Exercise 3.0

Write a one page report that covers the following questions:

  • What is the correlation between stocks and bonds?

  • How does this change over time?

  • What is the relationship between the correlation and the inflation rate?

  • What does this suggest for a 60:40 equity:bond portfolio?

Bibliography

Fama, Eugene F., and Kenneth R. French. 2015. “A Five Factor Asset Pricing Model.” Journal of Financial Economics 116 (1): 1–22.
Fama, Eugene F, and Kenneth R French. 1993. “Common Risk Factors in the Returns on Stocks and Bonds.” Journal of Financial Economics 33 (1): 3–56.