formula-sheet

CFA Level I Ethics and GIPS Formula Sheet

Public formula sheet for performance presentation calculations linked to Ethics and GIPS.

TL;DR

Ethics is primarily rules-based, but performance presentation questions can require linked returns, composite weighting, and dispersion calculations.

Formula Reference

Geometrically linked return

Linked return = product(1 + r_t) - 1

Use for multi-period returns.

Composite return

Composite return = sum[w_i x r_i]

Use account weights as specified.

Range dispersion

Range = highest account return - lowest account return

One possible dispersion measure.

Standard deviation dispersion

s = sqrt[sum(r_i - mean)^2 / (n - 1)]

Use when the question asks for standard deviation of account returns.

BA II Plus Keystrokes

  1. Use geometric linking for multi-period return.
  2. Use weighted-average arithmetic for composite return.
  3. Use DATA/STAT for standard deviation dispersion.

Worked Example

  • Returns are 5 percent and 6 percent over two periods.
  • Linked return = 1.05 x 1.06 - 1 = 11.3 percent.
  • Do not average the two returns.

Common Mistakes

  • Using arithmetic averages for linked performance.
  • Ignoring fee treatment.
  • Using equal weights when asset weights are required.

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