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Portfolio return is the proportion-weighted combination of the constituent assets' returns. Portfolio return volatility is a function of the correlations ρ ij of the component assets, for all asset pairs (i, j). The volatility gives insight into the risk which is associated with the investment.
R M = return on the market portfolio σ M = standard deviation of the market portfolio σ P = standard deviation of portfolio (R M – I RF)/σ M is the slope of CML. (R M – I RF) is a measure of the risk premium, or the reward for holding risky portfolio instead of risk-free portfolio. σ M is the risk of the market portfolio. Therefore, the ...
r it is return to stock i in period t r f is the risk free rate (i.e. the interest rate on treasury bills) r mt is the return to the market portfolio in period t is the stock's alpha, or abnormal return is the stock's beta, or responsiveness to the market return
Therefore, the required return on an asset, that is, the return that compensates for risk taken, must be linked to its riskiness in a portfolio context—i.e. its contribution to overall portfolio riskiness—as opposed to its "stand alone risk". In the CAPM context, portfolio risk is represented by higher variance i.e. less predictability. In ...
The rate of return on a portfolio can be calculated indirectly as the weighted average rate of return on the various assets within the portfolio. [3] The weights are proportional to the value of the assets within the portfolio, to take into account what portion of the portfolio each individual return represents in calculating the contribution of that asset to the return on the portfolio.
Portfolio optimization is the process of selecting an optimal portfolio (asset distribution), out of a set of considered portfolios, according to some objective.The objective typically maximizes factors such as expected return, and minimizes costs like financial risk, resulting in a multi-objective optimization problem.
t = the target return, d = downside risk. The following table shows that this ratio is demonstrably superior to the traditional Sharpe ratio as a means for ranking investment results. The table shows risk-adjusted ratios for several major indexes using both Sortino and Sharpe ratios.
In this formula P is the risky portfolio, F is riskless portfolio, and C is a combination of portfolios P and F. The slope of the capital allocation line is equal to the incremental return of the portfolio to the incremental increase of risk.
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