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Portfolio Risk Management : A Primer

. Markowitz and portfolio diversification . Markowitz changed the way we think about risk. He linked the risk of a portfolio to the co-movement between individual assets in that portfolio. The variance of a portfolio is a function of not only how much is invested in each security and the varia

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Portfolio Risk Management : A Primer

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    1. Portfolio Risk Management : A Primer By A.V. Vedpuriswar

    3. The key issue is not the volatility of the asset but how much it is correlated to the portfolio. An asset that is extremely volatile but moves independently of the rest of the assets in a portfolio will add little risk to the portfolioThe key issue is not the volatility of the asset but how much it is correlated to the portfolio. An asset that is extremely volatile but moves independently of the rest of the assets in a portfolio will add little risk to the portfolio

    4. Investors who want to take more risk can borrow at the risk free rate and invest their money in the super efficient portfolio. If we accept the CAPM and its various assumptions, we can compute the risk of an asset as the ratio of the covariance of the asset with the market portfolio to the variance of the market portfolio. BetaInvestors who want to take more risk can borrow at the risk free rate and invest their money in the super efficient portfolio. If we accept the CAPM and its various assumptions, we can compute the risk of an asset as the ratio of the covariance of the asset with the market portfolio to the variance of the market portfolio. Beta

    6. For example, Fama, and French found that over the period 1962 – 1990, smaller market cap companies and those with higher book to price ratios generated higher annual returns than larger market cap companies and those with low book to price ratio. For example, Fama, and French found that over the period 1962 – 1990, smaller market cap companies and those with higher book to price ratios generated higher annual returns than larger market cap companies and those with low book to price ratio.

    14. The power of Monte Carlo simulation comes from the freedom we have to pick alternative distributions for the variables. Unlike the variance-covariance approach, we need not make unrealistic assumptions about normality in returns.The power of Monte Carlo simulation comes from the freedom we have to pick alternative distributions for the variables. Unlike the variance-covariance approach, we need not make unrealistic assumptions about normality in returns.

    16. Limitations of VaR It says nothing about the expected size of the loss in the event that VaR is exceeded. Some have argued that companies should instead focus on the expected loss if VaR is exceeded. But focusing on this risk measure, which is often called conditional VaR, instead of focusing on VaR has little economic justification in the context of firmwide risk management. But setting the company’s capital at a level equal to the conditional VaR would lead to an excessively conservative capital structure.

    17. Risk management adds value by optimizing the probability and expected costs of financial distress. Companies must make sure that the equity capital based on a VaR estimate leads to the targeted optimal probability of financial distress. Such an effort requires a broader understanding of the distribution of firm value than is provided by a VaR estimate for a given probability of default.

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