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KPI Notation

Prefixes: Units on Variable Type

Usually, the units are clear from context. If not we can use the following abbreviations for clarity. But we can also prefix \(\%\) and \(\Delta\) :

Meaning Abbreviation Example
Number of \(\#\) \(\#{Pageviews}\)
Money amount \(\$\) \(\${R}\)
Percent \(\%\) \(\%ROE\)
Delta (difference over time) \(\Delta\) \(\Delta R\)
Average \(\varnothing\) \(\varnothing INV\)

Suffixes: Time Windows

Time Windows for Flow Variables

For Flow Variables, a time refers to a time window, and not to a point in time as for Stock Variables.
Whether the above subscript refers to a point in time or to a window is usually clear from the context. However, sometimes we want to clarify the time window of a flow variable. We do this with a suffixed time window designation:

Time Window Notation Example
per year (per annum) \(\text{p.a.}\) \(\#\,New Joiners\,\text{p.a.}\)
per month \(\text{p.M.}\) \(R\,\text{p.M.}\)
per week \(\text{p.w.}\) \(\#\,{Storypoints}\,\text{p.w.}\)
per day \(\text{p.d.}\) \(\#\,{Pageviews}\,\text{p.d.}\)
per hour \(\text{p.h.}\) \(\#\, {Pieces}\,\text{p.h.}\)

Superscripts: Variable Specification

If a variable needs a specification or a detailed definition, we use a superscript:

  • \(C^{delivery}\): Delivery Costs
  • \(M^{net}\): Net Margin
  • \(P^{cost}\): Cost Price

Exceptions to these rules are definitions that are commonly used, especially accounting terms such as e.g.

  • \(EBIT\) Earnings before Interest and Taxes (and not \(E^{BIT}\))
  • \(COS\) for Cost of Sales (not \(C^{OS}\))

Subscripts: Indices

With a subscript index, we clarify the Dimension of a variable. Indices are always a single, lower case letter.

For example:

  • \(C^{Production}_{p}\): Production cost of product \(p\).
  • \(M_{c}\): Margin of the channel \(c\).

If a variable can be indexed by multiple dimensions, we separate by comma:

  • \(M_{p,c}\): Margin of product \(p\) on channel \(c\).

The following indices are commonly used:

Index Variable Example
p product \(P_p\): Price \(P\) of product \(p\)
c channel \(M_{c}\)
o order \(P^{cost}_{o}\): The cost price of order \(o\)
l order line \(M_{l}\): Margin of order line \(l\)
d division \(FTE_d\): Headcount in division \(d\)
k customer \(AR_k\): unpaid invoices for customer \(k\)
s supplier \(P_{l,p}\): price of supplier \(l\) for product \(p\)
t time \(R_t\): revenues in period \(t\)