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Evaluating Portfolio Performance. Ch.20b. Universe Comparison. Divide performance of all active managers in the same category (e.g., Canadian equity) into quartiles. . Performance Attribution Analysis. For managers that are benchmarked
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Universe Comparison Divide performance of all active managers in the same category (e.g., Canadian equity) into quartiles.
Performance Attribution Analysis • For managers that are benchmarked • Identify sources of relative return: Where did the superior/inferior performance come from? • Can attribute a portfolio’s relative return, rP - rB, to: • Manager’s ability in asset allocation • Ability in sector selection within an asset class • Ability in stock selection within a sector
Performance Attribution Analysis • Let rBi be the return on the ith asset class in the benchmark (e.g. i = equities or bonds) • Let wBi be the weight of the ith asset class in the benchmark, B: • Therefore: • Similarly, for the manager’s portfolio, P:
Example of a benchmark for multi asset class portfolios • Harvard Endowment Fund: The Policy Portfolio... serves as a measuring stick against which we judge the success of our active investment management activities.
Performance Attribution Analysis • The manager’s active return, rP- rB, can be written as: where “i” is an asset class (e.g., equity, fixed income...etc.) • With some manipulation, can be re-written as: Active return due to asset allocation Active return due to security selection within an asset class
Numerical Example Number to be used later Total contribution, rP– rB, is 0.3099% + 1.06% = 1.3699%
Graphical Representation • Provide graph rather than table to clients: Contribution to Relative Return Percent Total portfolio Asset allocation Security selection
Performance Attribution Analysis • Security selection comes from: • Sector selection and • Stock selection within each sector • Can further divide performance into these two categories • Sector selection: • Source of relative return: From over-/under-weighting certain sectors relative to the benchmark
Sector Selection If sector return is high, but you under-weighed that sector contributed negatively Contribution from stock selection within a sector is: 1.47% – 1.0076% = 0.4624%
Graphical representation • If both numbers are positive, can use a pie chart; else, use bar chart
Chapter 20 • Can exclude pp.729-746