Value at Risk (VaR) calculation details (2024)

A VaR calculation is a common method for assessing the size and likelihood of potential risks happening over a defined period of time. It is often calculated by the scheme actuary or investment consultant and may have been calculated as part of the actuarial valuation or investment strategy review. This should typically be an estimate of the additional deficit which could occur over a period and with a certain level of probability.

You may need to refer to the investment report which contains the VaR calculation in order to answer the subsequent questions and so having a copy in front of you may be helpful. Alternatively, the scheme actuary or investment adviser should be able to provide the necessary information or guidance.

Please note that if you are not in a position to provide a VaR figure, TPR will assess the scheme’s investment risk by reference to the allocation between different asset classes without any allowance for interest rate, inflation or other types of hedging that might be in place.

Value at risk (VaR) calculation

This should typically be an estimate of the additional deficit which could occur over a period and with a certain level of probability. If you do not have the VaR calculated as at the effective date of the most recent Part 3 valuation date, then please supply the most recent calculation for the scheme.

If you have multiple VaR calculations, please provide the 1 year 95% VaR on a Gilts/swaps basis with no additional margin. Otherwise please provide the details for the one most used by the scheme (see subsequent questions for more information regarding VaR bases)

If the scheme commissions VaR numbers including and excluding longevity risk, please provide the VaR calculation which excludes the impact of longevity risk. Otherwise, please provide us with the VaR calculation that you have (even if it does include the impact of longevity risk).

VaR liability basis

When calculating VaR and the impact of different economic scenarios, in order to measure the potential change in deficit it is necessary to fix the basis on which the liabilities are measured.

This is normally done by assuming the discount rate used for the purpose of the VaR calculation is based on a fixed margin above or below a reference basis - such as Gilt yields. Please select the liability basis that best describes the one that has been used to calculate the VaR. If the basis used to calculate the VaR does not fit within categories a,b,c or d then please select “e - Other” and provide further information regarding the liability basis in the subsequent follow up question.

If you are unsure of the basis on which the VaR has been calculated then the scheme actuary or investment adviser should be able to provide the necessary information or guidance.

VaR percentile (%)

For instance the typical VaR numbers are calculated as a 95th percentile or 95% level which is intended to model the deficit that could arise in the worst 1 in 20 situation.

Other variations include the 90% level (or 90th percentile) which models the worst 1 in 10 situations.

VaR period (in years)

Typically calculations for VaR are undertaken on a 1 year or 3 year basis. However schemes can use longer periods over which to project the VaR numbers. Please state the period over which your scheme’s VaR is calculated.

Value at Risk (VaR) calculation details (2024)

FAQs

What three things does value at risk VaR tell us? ›

The VaR statistic has three components: a period, a confidence level, and a loss amount, or loss percentage, and can address these concerns: What can I expect to lose in dollars with a 95% or 99% level of confidence next month?

What does a 5% value at risk VaR of $1 million mean? ›

For instance, let's say an investor holds a portfolio worth $1 million in a stock that has a VAR of 5%. This means there is a 95% probability that the portfolio will not lose more than 5% of its value over a specified period.

What does a 5% 3 month value at risk VaR of 1 million represent? ›

A 5% 3-month Value at Risk (VaR) of $1 million represents: There is a 5% chance of the asset declining in value by $1 million during the 3-month time frame.

What is VaR and how is it calculated? ›

Incremental VaR is the amount of uncertainty added to, or subtracted from, a portfolio due to buying or selling of an investment. Incremental VaR is calculated by taking into consideration the portfolio's standard deviation and rate of return, and the individual investment's rate of return and portfolio share.

What is an example of VaR? ›

It is defined as the maximum dollar amount expected to be lost over a given time horizon, at a pre-defined confidence level. For example, if the 95% one-month VAR is $1 million, there is 95% confidence that over the next month the portfolio will not lose more than $1 million.

What is 90% value at risk? ›

VaR percentile (%)

For instance the typical VaR numbers are calculated as a 95th percentile or 95% level which is intended to model the deficit that could arise in the worst 1 in 20 situation. Other variations include the 90% level (or 90th percentile) which models the worst 1 in 10 situations.

What does a 5% value at risk mean? ›

For example, if a portfolio of stocks has a one-day 5% VaR of $1 million, that means that there is a 0.05 probability that the portfolio will fall in value by more than $1 million over a one-day period if there is no trading.

How to calculate VaR in Excel? ›

How is VaR calculated in Excel?
  1. We first calculate the mean and standard deviation of the returns.
  2. According to the assumption, for 95% confidence level, VaR is calculated as a mean -1.65 * standard deviation.
  3. Also, as per the assumption, for 99% confidence level, VaR is calculated as mean -2.58 * standard deviation.
Jan 27, 2023

How is risk value calculated? ›

The answer to, 'What is a risk value? ' is simply an estimate of the cost of risk. It's calculated by multiplying the probability of a risk occurring by the financial impact of that risk.

How to calculate VaR for options? ›

You can use several different methods, with different formulas, to calculate VaR, but the simplest method to manually calculate VaR is the historical method. In this case, m is the number of days from which historical data is taken and vi is the number of variables on day i.

What's wrong with VaR as a measurement of risk? ›

VAR does not measure worst case loss

The worst case loss might be only a few percent higher than the VAR, but it could also be high enough to liquidate your company. Some of those "2-3 trading days per year" could be those with terrorist attacks, big bank bankruptcy, and similar extraordinary high impact events.

How do you calculate risk value? ›

The answer to, 'What is a risk value? ' is simply an estimate of the cost of risk. It's calculated by multiplying the probability of a risk occurring by the financial impact of that risk.

What is the value at risk variance? ›

The VaR calculation is a probability-based estimate of the minimum loss in dollar terms expected over a period. The data produced is used by investors to strategically make investment decisions. VaR is often criticized for offering a false sense of security, as VaR does not report the maximum potential loss.

How do you find the VaR? ›

For any random variable X , the variance of X is the expected value of the squared difference between X and its expected value: Var[X] = E[(X-E[X])2] = E[X2] - (E[X])2 .

How to calculate 95% VaR? ›

According to the assumption, for 95% confidence level, VaR is calculated as a mean -1.65 * standard deviation. Also, as per the assumption, for 99% confidence level, VaR is calculated as mean -2.33* standard deviation.

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