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Understanding the Security Market Line

Author: Sophia

what's covered
In this lesson, you will learn about a security’s position on a graph of the security market line. Specifically, this lesson will cover the following:

Table of Contents

1. Expected Risk and Risk Premium

A certain amount of risk is inherent in any investment. Risk can be defined, generally, as the potential of a chosen action or activity (including the choice of inaction) leading to a loss or an undesirable outcome. The notion of risk implies that a choice having an influence on the outcome exists. More specifically, in finance, risk can be seen as relating to the probability of uncertain future events. In return for undertaking risk, investors expect to be compensated in such a way as to reasonably reward them. This is a central theme in the subject of finance. In the financial realm, two types of risk exist:

  • A systemic risk is a risk associated with an entire financial system or entire market. This type of risk is inherent in all marketable securities and cannot be diversified away.
  • An unsystematic risk is a risk to which only specific classes of securities or industries are vulnerable. This type of risk is uncorrelated to broad market returns and can be reduced or even eliminated with a proper grouping of assets. Because of this characteristic, investors are not rewarded for taking on an unsystematic risk.
A systematic risk can be understood further using the measure of beta (β). This is a number describing the correlated volatility of an asset in relation to the volatility of the benchmark that the asset is being compared to—usually, the market as expressed in an index.

Beta values of beta can be interpreted using the following information:

Beta Value Description
Beta less than 0 The asset generally moves in the opposite direction to the index.
Beta equal to 0 The movement of the asset is uncorrelated with the movement of the benchmark.
Beta between 0 and 1 The movement of the asset is generally in the same direction as, but less than, the movement of the benchmark.
Beta equal to 1 The movement of the asset is generally in the same direction as, and about the same amount as, the movement of the benchmark.
Beta greater than 1 The movement of the asset is generally in the same direction as, but more than, the movement of the benchmark.

The term market risk premium refers to the amount by which an asset’s expected rate of return exceeds the risk-free rate. The difference between the return of an asset in question and that of a risk-free asset—for instance, a U.S. Treasury bill—can be interpreted as a measure of the excess return required by an investor on the risky asset. The risk premium, along with the risk-free rate and the asset’s beta, is used as an input in popular asset valuation techniques, such as the capital asset pricing model (CAPM).

terms to know
Beta (β)
A number describing the correlated volatility of an asset in relation to the volatility of the benchmark that the asset is being compared to.
Market Risk Premium
The amount by which the expected rate of return of the exchange system exceeds the risk-free interest rate.
Capital Asset Pricing Model (CAPM)
An equation that assesses the required rate of return on a given investment based upon its risk relative to a theoretical risk-free asset.


2. Defining the Security Market Line

The security market line (SML), also known as the “characteristic line,” is the graphical representation of the capital asset pricing model. It is a hypothetical construct based on a world of perfect information. In the absence of perfect information, we can more or less assume historical data will give us an accurate expectation of what kind of returns and risks to expect with a particular investment of capital. The SML graphs the systematic, nondiversifiable risk (stated in terms of beta) against the return of the whole market at a particular time and shows all risky marketable securities.

The SML is defined by this equation:

formula to know
Security Market Line
E open parentheses R subscript i close parentheses equals R subscript f plus beta open square brackets E open parentheses R subscript M close parentheses minus R subscript f close square brackets

think about it
Look at the equation and remember that old formula of a line: y = mx + b. In this case, it looks rearranged, like y = b + mx. However, the real question is what the slope and y-intercept actually represent.

The y-intercept in the SML, or where the vertical axis meets the horizontal axis, is also known as the risk-free rate. The assets that are plotted above the line are said to be undervalued for a given level of risk. Conversely, the assets plotted below the line are said to be overvalued due to the given level of risk.

The slope of the SML is the premium that the market charges for risk.

The security market line

The idea of an SML follows from the ideas asserted in the last section, which is that investors are naturally risk averse and a premium is expected to offset the volatility of a risky investment. In a perfect world with perfect information, any capital investment is on the SML. The idea of an SML market line is important for understanding the capital asset pricing model.

terms to know
Security Market Line (SML)
The representation of the capital asset pricing model. It displays the expected rate of return of an individual security as a function of systematic, nondiversifiable risk (its beta).
Risk-Free Rate
The theoretical rate of return of an investment with no risk of financial loss.


3. Impact of the SML on the Cost of Capital

The SML is a graphical representation of the capital asset pricing model that illustrates the idea that investments are priced efficiently based on the expected return and beta value (risk). Companies often turn to capital markets in order to generate funds—using the issuance of either debt or equity. The cost of obtaining funds in such a manner is known as a company’s cost of capital. There is a trade-off between a security’s price and its expected return. If the price of the instrument goes up, its expected returns go down, and vice versa. A firm that is raising capital would like to sell these instruments for a high price, and investors want to buy them for a low price.

The location of a financial instrument above, below, or on the SML will lead to consequences for a company’s cost of capital:

  • An instrument plotted below the SML would have a low expected return and a high price. This market situation would be quite attractive from the perspective of a company raising capital; however, such an investment wouldn’t make sense for a rational buyer. The rational investor will require either a higher return or a lower price, which will both result in a higher cost of capital for the company.
  • An instrument plotted above the line has a high expected return and a low price. This would not be an attractive market situation for a company looking to raise capital. Such a firm wants to raise as much money as possible, which means getting investors to pay the highest price possible.
  • An instrument plotted on the SML can be thought of as being fairly priced for the amount of expected return. Such an instrument would be a fair investment from an individual’s perspective and would lead to a fair cost of capital from a company’s perspective.
summary
In this lesson, you continued to learn about expected risk and the concept of the risk premium, or the amount by which an asset’s expected rate of return exceeds the return on a risk-free asset like a U.S. Treasury bill. The risk premium can be plotted along the security market line, which is a graphical representation of the capital asset pricing model. The impact of the security market line on the cost of capital is such that an instrument plotted above the line is attractive to the issuing company but not to an investor. The reverse is true for instruments plotted below the line.

Best of luck in your learning!

Source: THIS TUTORIAL HAS BEEN ADAPTED FROM "BOUNDLESS FINANCE" PROVIDED BY LUMEN LEARNING BOUNDLESS COURSES. ACCESS FOR FREE AT LUMEN LEARNING BOUNDLESS COURSES. LICENSED UNDER CREATIVE COMMONS ATTRIBUTION-SHAREALIKE 4.0 INTERNATIONAL.

Attributions
Terms to Know
Beta (β)

A number describing the correlated volatility of an asset in relation to the volatility of the benchmark that the asset is being compared to.

Capital Asset Pricing Model (CAPM)

An equation that assesses the required rate of return on a given investment based upon its risk relative to a theoretical risk-free asset.

Market Risk Premium

The amount by which the expected rate of return of the exchange system exceeds the risk-free interest rate.

Risk-Free Rate

The theoretical rate of return of an investment with no risk of financial loss.

Security Market Line (SML)

The representation of the capital asset pricing model. It displays the expected rate of return of an individual security as a function of systematic, nondiversifiable risk (its beta).

Formulas to Know
Security Market Line

E open parentheses R subscript i close parentheses equals R subscript f plus beta open square brackets E open parentheses R subscript M close parentheses minus R subscript f close square brackets