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Value at Risk (VAR), an important risk factor and easy to understand, Too

  • Posted on February 4, 2010 at 2:42 am

The risk is older than written history. But it was not until advances in mathematics and 19 of the 18th century, when the actuarial science and engineering, in which flowering was the proactive management of development risks. The financial risk is then introduced as an invention of the second half of the 20th century.

First, gold traded as a hedge against the risk of interest rate or foreign currency, but in the short term, interest rate changes and currency fluctuations resulted in extreme financial risk,Manage difficult. In the early 197os the gold standard fell, and stagflation was the word today, the financial risk management has become more important than ever. But how?

Fortunately, the modern portfolio theory was introduced by Harry Markowitz in 1952 with his paper "Portfolio Selection", and a new generation of mathematical quantities may find their way on Wall Street.

With the emergence of "how" and the market crash on Black Monday, October 19, 1987Finally, he led the risk management against each agenda meeting room. Value at Risk by hybridization of a thorough understanding of operational risks and a mixture of modern portfolio established principles.

In a recent study of risk management by PricewaterhouseCoopers found that the 3 main objectives of risk management was emerging risks, measure and monitor risks to identify and communicate risks to the leadership. Value at Risk satisfy the last 2criteria reasonably well.

It was as well known is a measure of market risk of the outcome of extreme or highly unlikely. Expressed in units of currency is a statistical measure of potential loss that a portfolio will be subject in common with a time horizon of 1 day (as you might have heard of 1% was 1 day). We can expect to get out or hedging of a portfolio, within 1 day. We know that there are cases where the liquidation of a portfolio can take several days, as products of a credit card. In this casecan spend an average time frame for a multi-horizon portfolio.

Of course there were the case, and the portfolio as a constant over time. A VAR model also assumes that the historical data used to construct the estimated VAR provides helpful information on forecasts of the distribution of losses. The total value at risk all the risks in a portfolio in a single perfect number for reporting to the Board and reports to shareholders.

One of the toolsfor the evaluation of CODA is a Monte Carlo simulation. Like most economic models, some assumptions only as the distribution of changes in asset prices are normally distributed. Data will be collected to estimate the parameters of the distribution (ie standard deviation). Monte Carlo gives then a couple of sets of possible future results, given that changes in asset prices. The portfolio is revalued every result you leave a series of reviews of the portfolio with regard to the introduction ofpossible outcomes of changes in asset prices. Then the distribution of information to take say a 95: E or 99th percentile (1% 1% 1 days was) losses Change

One of the most common questions in Monte Carlo simulation as changes in asset prices should be applied. It depends on the complexity of the portfolio. For non-linear instruments such as options, simulations would be prudent asset portfolios as linear. There are ways to improve the accuracy of the Monte Carlo modelsantithetic variance reduction, which allows simulation of a smaller specific portfolio.

Here's a simple example of the VAR concept of our Monte Carlo data in hand. Suppose that the distribution of possible changes, one day lead to a 2% chance that a loss portfolio will exceed $ 10,000, 1% chance that the loss will be between $ 8000 and $ 10,000 and a loss of 2% among likely of $ 6,000 and $ 8000. There is a 5% chance that the loss exceeded $ 6,000. If we use this 5%(probability 1 day, 5% VAR) as criteria to define a loss due to market conditions of $ 6,000 is the value at risk.

Have the capacity for risk management reporting a single number to the Board, or its regulators, not surprisingly, has remained a significant degree of risk.