# Relationship between cml and sml

### Difference Between CML and SML | Difference Between | CML vs SML

First understand that CML shows relationship between portfolio expected return and standard deviation, while SML shows relationship between a stock. Capital Market Line (CML). The CML is an indicator of the trade-off between expected return and risk as The SML is a graphical depiction of the CAPM Misprice Measure (Alpha): The difference between a security's expected return and an. A utility function shows the relationship between utility and return (or wealth) when the . Given the CML, we can determine the SML (relationship between beta.

Graphically, the CML shows expected portfolio return as a linear function of portfolio risk.

The y-intercept is the risk free rate and the slope is the market risk premium. Any point up and to the left of the CML is not achievable.

With the CML we assume that every investor can both invest and borrow at the risk-free rate. Why does the risk-free asset allow us to build better risk-return portfolios? Remember that the availability of a risk-free asset allows investors to build portfolios with superior risk-return properties.

By combining a risk-free asset with a portfolio of risky assets, the overall risk and return can be adjusted to appeal to investors with various degrees of risk aversion. Recall that correlation for a two asset portfolio is captured as: Because a risk-free asset has zero standard deviation and zero correlation of returns with a risky portfolio, standard deviation of the combined portfolio can be captured by the following equation: Unsystematic Risk This leads us to the final distinction between types of risk.

## Difference Between CML and SML Essay

Generally speaking there are two major types of risk: Systematic risk is market-level risk beta that cannot be diversified away. It is caused by things like GDP growth and interest rate changes that affect the value of all risky securities.

Unsystematic risk, or company-specific risk, is risk that can be diversified away in a portfolio i. The riskiest stock does not necessarily have the highest expected return. Put differently, diversification is free, and thus you will not be rewarded for taking on high levels of unsystematic risk.

## Risk-free Rate, CML and SML

Investors only need to know expected returns, variances, and covariances in order to create optimal portfolios. Investors have homogeneous expectations: All assets are marketable. The market for assets is perfectly competitive.

**What is the difference between SML and CML**

Individual investors are price takers. Investors can borrow and lend any amount of money at the risk-free rate of return. There are no taxes or transaction costs involved in buying or selling assets.

### Difference Between CML and SML: CML vs SML

The CAPM equation is: It uses the SML or security market line to compare the relationship between risk and return.

Unlike the CML, which uses standard deviation as a risk measure on the X axis, the SML uses the market Beta, or the relationship between a security and the marketplace. The use of beta enables an investor to compare the relationship between a single security and the market return, rather than a single security with each and every security as Markowitz did.

Consequently, the risk added to a market portfolio or a fully diversified set of securities should be reflected in the security's beta.

The SML represents the required rate of return, given the systematic risk provided by the security.