Incorrect Security Market Line Statement Analysis

The question asks to identify the incorrect statement among the given options regarding investment concepts.

Option 1: Security Return Definition

This statement correctly defines the total return from holding a security. It includes both capital appreciation (change in market price) and any income received (cash payments), relative to the initial price.

Option 2: Risk-Return Relationship

This statement highlights a fundamental principle in finance: the positive relationship between risk and expected return. Investors typically require higher potential returns to compensate for taking on greater risk.

Option 3: Unavoidable Risk Definition

This statement accurately defines unavoidable risk, also known as systematic risk or market risk. This type of risk affects the entire market or large segments of it and cannot be eliminated through diversification.

Option 4: Security Market Line (SML) Slope Interpretation

The Security Market Line (SML) is represented by the Capital Asset Pricing Model (CAPM) formula:
$ E(R_i) = R_f + \beta_i (E(R_m) - R_f) $
Here, the slope of the SML is $(E(R_m) - R_f)$, which represents the market risk premium. This premium is the additional expected return investors demand for holding the market portfolio instead of a risk-free asset. A higher slope indicates a larger compensation is required for bearing market risk. This reflects the degree of investors' *risk aversion* – more risk-averse investors demand higher compensation for bearing risk. Therefore, the slope indicates the market's required compensation for risk, driven by risk aversion, not the degree to which investors are *not* risk-averse.

The statement incorrectly interprets the SML slope. A steeper slope implies greater required compensation for risk, suggesting higher risk aversion in the market, not a lack thereof.

Conclusion

Based on the analysis, the statement that is not correct is Option 4.