# Performance analysis

### Time-series summary

* *Annualised return*: the return series or average return is converted to the annualised return by multiplying the input value by a factor dependent on the frequency of the input:
  * Daily: 252
  * Weekly: 52
  * Monthly: 12
  * Quarterly: 4
* *Excess mean above risk-free rate*: this requires selecting the risk-free rate series in the **factors** tab.
* *Sharpe ratio*: uses the **excess mean above rf** divided by the **standard deviation**.

### Factors

Select factors as shown in the [moment estimation module](https://docs.nuvolos.com/help-and-reference/application-reference/invelab/modules/moment-estimation). After running **calculate factor model regression**, the visualisation mode shows the following options:

* *Model statistics*: shows alpha, beta, R-square, R-square, standard error, etc.
* *Confidence interval plot*: creates a box plot for the selected factor coefficient and its corresponding confidence interval at the 95% level.
* *XY plot*: creates a scatter plot between selected coefficients for all assets.
* *Beta bar chart*: plots selected coefficients in a stack bar plot.
* *Return decomposition*: draws the stack bar plot of all coefficients multiplying the factor risk premium plus alpha.
* *Parallel plot*: can show the coefficient comparison between assets and across split periods.

### Split

Selects a date to split all assets into two parts, the first before the split date and the second after the split date.

### Highlight

Chooses a \[CD\_] object type to show the characteristics of certain datasets, e.g. **strategy** for the hedge fund dataset.

### Moving window

Calculates the factor model in the moving window length.