Value at Risk (VaR) Model

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About

Value-at-Risk (VaR) is a common measure of the degree of risk a portfolio is exposed to, by calculating how much an investor might lose with his/her portfolio, given a certain probability, within a certain time period. For example, a 1-day VaR of $1000 with 95% confidence interval implies that the portfolio might lose $1000 or more with 5% probability in 1 day.

The Value-at-Risk model simulates a large number of outcomes of the portfolio's performance, based on the assets' past returns and volatility data, and displays the portfolio's projected profit or loss (P/L) as a probability distribution. The amount of P/L is shown on the horizontal axis (X-axis), while the likelihood measures are shown on the vertical axis (Y-axis). 2 plots are created: the probability density bar chart shows the frequencies of the various P/L outcomes, while the cumulative distribution graph shows the probability of losing that amount or more.

Losses beyond a certain threshold (ie. probability of loss < 1 - confidence interval) are highlighted on the left tail of the graph. Furthermore, 2 values are calculated and displayed: VaR is the threshold value, while shortfall value is the probability-weighted average of the tail losses.

Below Shortfall, Add Sample to show Size 样本数

To access the quantitative model/report, click on 'Dashboard' from the navigation sidebar on the left. 

Select the model/report from the drop-down list and click 'Create'. Click on the 'Settings' button (gear icon) at the top right corner of the model to set up your model/report.

To share the model with your group members, click on the "Share" button next to the Title of the model followed by the email address of the group members you want to share it with. Once submitted, the model will appear in the Dashboard>Group Dashboard of the selected group members.

This is different from sharing individual or entire Dashboard models/reports, which allows any user who may or may not be users of MAF Cloud to access the individual model/entire dashboard via the shared web link (link will expire in 8 hours). In Group Dashboard, only group members can access the shared models/reports.

Guide

Name	Image/Description
Portfolio	Select a portfolio of interest.
Duration	Select the start and end date for which data of the assets in the portfolio will be retrieved for analysis.
Days	Number of days for VaR analysis.
Confidence Interval	Select the confidence interval for analysis, a decimal value between 0 and 1.
Threshold Min	Minimum value for display of P/L range (x-axis)
Threshold Max	Maximum value for display of P/L range (x-axis)
Comments	The inserted comments will be displayed at the bottom of the application. This can be useful for documentation purposes or for settings description.

Input

Output

Example

This portfolio has a 5% probability of losing $5325.20 or more in 1 day, and a very slight probability (p=0.13%) of losing up to $17950.

Functionality

Displayed below are some noteworthy user interactions you can find on this application. 

Click to access: