Portfolio Performance Evaluation

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Portfolio Performance Evaluation Workshop Presented by Bob Pugh, CFA To American Association of Individual Investors Washington, DC Chapter May 31, 2008

Introduction Evaluating portfolio performance is important for all investors, whether they are managing their own assets or have hired help. If an investor can get better after-fee and after-tax riskadjusted results by purchasing an index fund and some bank CDs, they should. Results matter. Techniques covered in this workshop are appropriate for all types of investors fundamental, technical, active, passive, etc.

Introduction What NOT to do: Ric Edelman s Secret #5 in Ordinary People, Extraordinary Wealth : It does not matter how the S&P 500 performs or any other index, for that matter... What matters instead is that the performance of your investments are (sic) matching the Individual Investor Index (I 3 ). The most common way our clients evaluate their overall portfolio is by examining the percentage gain for the year. Describes the S&P 500 as, some external, arbitrary standard

Introduction Edelman s Individual Investor Index is a return goal only that does not reflect the risk taken attempting to get that return or allow for an unbiased evaluation of the quality of the services he delivers. Investors need an objective measure of their portfolio s performance compared to relevant benchmarks to evaluate their advisor s or funds performance, or to determine if their own selfmanaged strategies are working.

Introduction Calculate time-weighted (geometric) return adjusted for cash flows Calculate risk measured as standard deviation of returns Evaluate risk-adjusted return (Sharpe ratio) Determine appropriate benchmarks and compare portfolio return and risk to those benchmarks Evaluate results of active management strategies (Information Ratio)

Time-Weighted (Geometric) Return Basic measure of return is simply the percent change in the portfolio s value during the measurement period: return 1 = Portfolio Value - Portfolio Value Portfolio Value 1 0 0 return 1 113,434.59-100,000.00 = = 13.43% 100, 000.00

Time-Weighted (Geometric) Return Use the basic measure of return (adjusted for cash flows) for sub-periods, and timeweighted returns for multiple periods. Reflects compounding of returns. return r1 r2 r n = [(1 + )(1 + )...(1 + )] 1 [( 0.995)( 0.965)(1.025)(1.001)(0.997)(1.013)(0.987) (0.999)(1.007)(1.043)(1.042)(1.031)] - 1 = 10.77%

Time-Weighted (Geometric) Return For average periodic returns, use geometric averages, which reflect compounding, rather than arithmetic averages: return r1 r2 r n = [(1 + )(1 + )...(1 + )] 1 1 12 return = [(1.1077) 1] =.086% 1 n

Risk Investment risk is typically measured as standard deviation of returns. Standard deviation is calculated easily with a spreadsheet or financial calculator. See example in handout.

Risk-Adjusted Return Many measures of risk-adjusted return exist but the Sharpe Ratio is most often used. Measures how much excess return (total portfolio return minus the risk-free, or cash rate) the portfolio earns for the amount of risk taken, measured as standard deviation of returns. r - r p rf 10.77-3.00 S= σ p S= = 2.05 2.32

Benchmarks Compare risk and return to relevant benchmarks Characteristics of good benchmarks: Unambiguous about the securities and their weights in the benchmark Appropriate to the portfolio s style and investing approach Measurable Investable Specified in advance Accountable to the portfolio s manager Reflective of current investment best practice

Assessing Active Management Information Ratio (IR) measures the consistency of an investor s ability to beat indexes or benchmarks (active management). IR is the ratio of the average periodic excess returns of the portfolio compared to its benchmark, to the standard deviation of the excess return. IR of.50 is OK and an IR of 1.00 or above indicates consistently successful active management.

Assessing Active Management In the example we are using, the IR is only 0.079. This indicates a failure of active management and that the investor should shift to passive management using index funds. IR= Average Periodic Excess Return (ER) σ ER 0.18 IR= 0.079 2.30 =

Conclusions Measure your investing results objectively and make changes as needed. Otherwise, you are driving blind and might go off a cliff. NEVER deal with an advisor who won t provide objective performance analysis using industry standard techniques (not just account statements) of both your portfolio and the firm s aggregate results.