The metrics for risk management of portfolio risk

Metrics of risk, by definition, is a set of financial models used by investors to assess portfolio risk. The measurement of portfolio risk can be done in several phases. One is to shape the market that creates changes in portfolio value. The model of the market should be adequately specified in a way that the portfolio to be reevaluated with the use of information from the market model. Then, the risk measures are taken by the changes in the probability distribution of portfolio value. This change in the value of the portfolio is more commonly known as profit and loss.

Systems for risk management are derived from models that indicate changes possible factors that influence the value of the portfolio. These risk factors are very important when pricing. Generally the factors that drive the prices of financial stocks include commodity prices, the correlation, equity prices, interest rates, exchange rates and volatility. Driving the future scenarios for each risk factor can help you make the changes in value of your portfolio and re-price as well.

There are different types of measures of portfolio risk. An example is the standard deviation. This measure is the first to be widely used in the measurement of portfolio risk. Even if the standard deviation is relatively simple to calculate, can not be an ideal metric risk, because penalizes profits and losses.

Value at Risk (VaR) is another measure that is preferred among the investment banks that many are trying to assess portfolio risk for the banking regulators. This measure relies more generally on the losses, which is why it is considered as a measure of downside risk. Another commonly used measure of portfolio risk is expected deficit, which is also known in different terms as conditional value at risk, expected tail loss or xloss.

In addition, the marginal value at risk can be considered as the amount of added risk to the portfolio. In a nutshell, is the difference between the value of the overall portfolio risk and sans the portfolio position.

Furthermore, the risk incremental provides information regarding the sensitivity of the risk of the portfolio to adjustment in size of the position of the portfolio detention. Sub-additivity is an important element of incremental risk. It is here that the sum of the incremental risk of the positions of the portfolio is equal to the total portfolio risk. Sub-additivity has useful applications in terms of allocating the risk of different units, in which the objectives is to keep the sum of risk with the same total risk.

Sub-additivity is needed regarding the risk of aggregation between the accounts, business units, desks or subsidiaries. It is essential when several independent business unit to calculate the risks and want to know the overall risks involved. This home is also important for regulators who want to meet capital requirements, helping reduce affiliates.

Because there are three main measures of risk parameters of risk, there are also three incremental risk measure that is the incremental value at risk, incremental incremental expected shortfall and standard deviation.

Furthermore, statistics have applications for incremental risk of portfolio optimization. A portfolio with a lower risk very likely to have an incremental risk that is equal to zero in all positions. On the other hand, if all positions have an incremental risk to zero, then the portfolio is sure to have a minimal risk if and only if the risk measure is sub-additive....