QUICK REFERENCE
1.1. Minimum Requirements
1.2. System Tools
1.2.1. Help
1.2.2. Status Indicator
1.2.3. Idiom
1.2.4. Histogram
1.2.5. Skewness
1.2.6. Excess of Kurtosis
1.2.7. Brazilian Yield Curve Exponential Interpolation and Extrapolation
1.2.8. Cubic Spline for Brazilian Yield Curve
1.2.9. Comparative chart for cubic spline and exponential interpolation
1.2.10. PCA – Principal Component Analysis
1.2.11. ICA – Independent Component Analysis
1.2.12. Multiple Linear Regression
1.2.13. Best Exponentially Weighting Volatility - EWv
1.2.14. ARCH - GARCH - IGARCH - EGARCH - GJR (TGARCH)
1.1. Minimum Requirements
- Operation System: Windows XP, Windows 2000, Windows ME or Windows 98
- This system has no been tested to Windows 95, but may not face troubles.
- Microsoft Excel with version: Excel 2003, Excel XP or Excel 2000
- Memory: Minimum of 128 MB
- Hard Disk space: 10 MB
- Browser Internet Explorer or Netscape installed 1
1
Allows access to manual and help files available in the Internet.
1.2. System Tools
1.2.1. Help
Access:
- Menu - Metrixus | Help on line
- Toolbar Metrixus
Description: Runs browser Internet Explorer or Netscape in Élin Duxus web page for system manual and help for functions.
1.2.2. Status Indicator
Access:
- Menu - Metrixus | Status
- Toolbar Metrixus
Description: Allows user to verify systems available updates as well as signature/license status. If signature/license expires, all functionalities will be over and will return #N/A.
- Running normal
- License or trial is about to expire
- System blocked – signature or license need to be revalidated.
1.2.3. Idiom
Access:
Description: Idiom setting.
Includes options for Portuguese (Brazil) or English (USA).
After change the idiom, it is necessary to restart Microsoft Excel.
Available in version 1.0.1 and superiors.
1.2.4. Histogram
Access:
- Menu - Metrixus | Histogram
- Toolbar Metrixus
Description: Draws a histogram chart for the selected range of cells. Includes sample or populations, skewness, kurtosis and mean and standard deviation for each range in the histogram. Normalization (area under the PDF – probability density function - is 1) is also possible.
Data range can be asset prices and the histogram can draw asset returns directly from data. No log operation is used in this case and data must be in time order (older prices first).
Histogram screen
1.2.5. Skewness
Access:
- Menu - Insert | Function | Metrixus
- Toolbar Standard | Metrixus
Description:
Returns data range skewness for sample or population. Also available skewness of Karl Pearson.
Call: MX.SKEW (Data, Returns, Sample, Type, Intervals)
Argument |
Type |
Description |
Data |
range |
Range of data. Empty cells or cells with text will be disregarded. Must be a range with more than 2 valid cells.
|
Returns |
boolean |
Optional. Mark 0 (default) for asset prices or 1 for asset returns from asset prices.
|
Sample |
boolean |
Optional. Mark 0 (default) for sample or 1 for population.
|
Type |
integer |
Optional. Type of Skewness returned. Mark 0 (default) for standard, 1 for first Pearson coefficient or 2 for second Pearson coefficient.
|
Intervals |
integer |
Optional. Mandatory if Type equals to 1. Number of intervals considered in the mode. Must be greater than 1 and lesser than half total number of valid data.
|
Usage example:
- Data range: P7:S23 (68 data)
- Sample
= MX.SKEW(P7:S23)
1.2.6. Excess of Kurtosis
Access:
- Menu - Insert | Function | Metrixus
- Toolbar Standard | Metrixus
Description:
Returns data range excess of kurtosis related to normal distribution for sample or population.
Call: MX.KURT (Data, Returns, Sample)
Argument |
Type |
Description |
Data |
range |
Range of data. Empty cells or cells with text will be disregarded. Must be a range with more than 3 valid cells.
|
Returns |
boolean |
Optional. Mark 0 (default) for asset prices or 1 for asset returns from asset prices.
|
Sample |
boolean |
Optional. Mark 0 (default) for sample or 1 for population.
|
Usage example:
- Data range: P7:S23 (68 data)
- Sample
= MX.KURT(P7:S23)
1.2.7. Brazilian Yield Curve Exponential Interpolation and Extrapolation (base 252)
Access:
- Menu - Inserir | Função | Metrixus
- Toolbar Standard | Metrixus
Description:
Returns interest rate (base ACT/252) from Exponential Interpolation or extrapolation from yield curve informed.
Minimum of 3 points (time position) for interpolation.
For each time position, only one yield must be informed.
Chamada: MX.INTERPOLEX (Workdays, Yield Curve, Years Flat)
Argument |
Type |
Description |
Workdays |
integer |
Workdays for which interest rate is calculated.
|
Yield Curve |
range |
Range (n rows and 2 columns) describing Brazilian yield curve - rates base 252 and workdays.
|
Years Flat |
double |
Optional. Number of years after the last rate and time informed where yield curve flats. Default value is 0.
|
Usage example:
- Workdays: 120
- Years Flat: 1.0
- Yield Curve: A2:B11 (11 points out of sequence)
= MX.INTERPOLEX( 120, A2:B11, 1.0)
1.2.8. Cubic Spline for Brazilian Yield Curve (base 252)
Access:
- Menu - Insert | Function | Metrixus
- Toolbar Standard | Metrixus
Description: .
Returns interest rate (base ACT/252) from natural cubic spline interpolation and from yield curve informed.
For each time position, only one yield must be informed.
Call: MX.CSPLINE (Workdays, Yield Curve)
Argument |
Type |
Description |
Workdays |
integer |
Workdays for which interest rate is calculated.
|
Yield Curve |
range |
Range (n rows and 2 columns) describing Brazilian yield curve - rates base 252 and workdays.
|
Usage example:
- Workdays: 120
- Yield curve: A2:B11 (11 points out of sequence)
= MX.CSPLINE( 120, A2:B11)
1.2.9. Comparative chart for cubic spline and exponential interpolation (Brazilian yield curve - base 252)
Access:
- Menu - Metrixus | CSpline x Exp
- Toolbar Metrixus
Description: .
Build a comparative chart for cubic spline and exponential interpolation.
Data range must be selected in advance.
Comparative chart screen
1.2.10. PCA – Principal Component Analysis
Access:
Description:
Runs principal component analysis – PCA – of data range. Returns loading factors and others parameters.
Allows Kayser criteria or Proportion criteria and build scree test chart.
Data range must be selected in advance.
Principal component analysis screen
1.2.11. ICA – Independent Component Analysis
Access:
- Menu - Metrixus | ICA
- Toolbar Metrixus
Description:
Runs ICA of informed data range. Returns independent components, mixing and demixing matrix and others parameters.
Data range must be selected in advance.
Independent component analysis screen
1.2.12. Multiple Linear Regression
Access:
- Menu - Metrixus | MLR
- Toolbar Metrixus
Description:
Runs the multiple linear regression for variables informed. Returns regression coefficients and others parameters.
Data range must be selected in advance.
MLR screen
1.2.13. Best Exponentially Weighting Volatility - EWV
Access 1:
- Menu - Insert | Function | Metrixus
- Toolbar Metrixus
Description: Returns volatility and mean values of data range or asset returns (from data ranges that represent asset prices, using or not log operator).
Matrix CTRL + SHIFT + ENTER format required.
Call: MX.EWV (Data, Decay, Order, Returns, Null Avg.)
Argument |
Type |
Description |
Data |
range |
Range of data. Empty cells or cells with text will be disregarded. Must be a range with more than 2 valid cells
|
Decay |
double |
Decay factor. Must be greater than 0 and lesser than 1.
|
Order |
boolean |
Optional. Mark 0 if data are time positioned with older data first or 1 reverse order.
|
Returns |
integer |
Optional. Mark 0 (default) to normal data, -1 to treat as asset returns or 1 for asset log-returns treatment.
|
Null Avg. |
boolean |
Optional. Mark 0 (default) to calculate sample median values or 1 to make sample median values equal to zero.
|
Access 2:
- Menu - Metrixus | Best EWV Decay
- Toolbar Metrixus
Description: Returns the bet decay to be used in exponentially weighting.
Allows minimum tolerance requirement. Data range can be consider asset prices and best decay be obtained by asset returns from those prices, using or not log operator.
Data range must be selected in advance.
Best exponentially weighting volatility screen
1.2.14. ARCH - GARCH - IGARCH - EGARCH - GJR (TGARCH)
Access:
- Menu - Metrixus | ARCH Family
- Toolbar Metrixus
Description: Runs ARCH model for data range and returns ARCH coefficients using MLE - maximum likelihood estimation.
Models available:
- ARCH (q)
- GARCH (q,p)
- IGARCH (q,p)
- EGARCH (q,p)
- GJR (q,p)
- Best Fit (maximum LLF - log likelihood function)
q and p can be up to 7. Best fit can look in the selected models and until the q and p limitation chosen.
Data range can be consider asset prices and ARCH model be presented over asset returns from those prices, using or not log operator.
Data range must be selected in advance.
ARCH family screen
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