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Answer: Slope of the capital market line
## Explanation In mean-variance analysis and the Capital Asset Pricing Model (CAPM): - **Portfolio P** represents the **market portfolio** or **tangency portfolio** - the optimal risky portfolio where the Capital Market Line (CML) is tangent to the efficient frontier - The **Capital Market Line (CML)** shows the risk-return tradeoff for efficient portfolios (combinations of the risk-free asset and the market portfolio) - The **market price of risk** is defined as the **slope of the Capital Market Line** ### Mathematical Representation: The CML equation is: $$E(R_p) = R_f + \frac{E(R_m) - R_f}{\sigma_m} \cdot \sigma_p$$ Where: - $E(R_p)$ = Expected return of portfolio - $R_f$ = Risk-free rate - $E(R_m)$ = Expected return of market portfolio - $\sigma_m$ = Standard deviation of market portfolio - $\sigma_p$ = Standard deviation of portfolio The **slope** $\frac{E(R_m) - R_f}{\sigma_m}$ represents the **market price of risk** - the additional return per unit of risk that investors can expect in the market. ### Why other options are incorrect: - **Option B**: The portfolio possibilities curve (efficient frontier) has a different slope that varies along the curve - **Option C**: This represents the risk-free rate, not the market price of risk - **Option D**: This represents zero return, not the market price of risk The market price of risk quantifies the compensation investors receive for bearing systematic risk in the market.
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Portfolio P in the mean variance analysis represents the tangency point between the capital market line and the portfolio possibilities curve. In this analysis, the market price of risk would be the:
A
Slope of the capital market line
B
Slope of the portfolio possibilities curve
C
Point where the capital market line touches the expected return axis
D
Point where the capital market line touches the standard deviation axis