Oxford Associates
©1998, William N. Goetzmann
Bruce Davis works for Oxford Associates, an investment consulting firm in Boston, Massachusetts. His client is Xerxes pension fund, a three billion dollar defined benefit pension plan for a firm that makes office business machines. Oxford has been hired to evaluate the performance of their equity managers, many of whom have been with Xerxes for most of the 1990's.
Over the past several years, the managers have each contracted with Xerxes to be compensated based upon whether they beat a style benchmark. Fixed fees are paid as a percentage of assets each year and an incentive fees is paid on the return achieved above the benchmark. One manager, Euclid Advisors, has a substantially larger incentive fee, however Euclid has a high water mark provision, which means that they must make up any loss incurred in previous years before they receive incentive payments.
Davis is charged with determining whether the benchmarks used are appropriate ones. In addition he has been asked to develop a quantitative basis for evaluating the manager's performance.
One particularly challenging problem he faces is that some managers are market timers, and Xerxes would like to determine whether they have timing skill.
Data: Returns for all funds and rolling weights for one fund are available in the tables.
Return data spreadsheet (same as Table III below)
Rolling Sharpe coefficient weights for Brinson Partners (same as Table II below)
Using the data available in the case, and the Ibbotson Attribution software, answer the following questions.
1. Which managers have positive risk-adjusted returns? Answer this using the Sharpe ratio, the Jensen measure and a multi-factor model of your choice. Do any funds have significantly positive alphas?
2. Do the managers' earn their fees? Can you answer this question with certainty? Assume that the returns you obtain from the attribution software are net of fees.
3. Are the benchmarks appropriate to the managers?
4. Do any of the tactical managers have timing ability?
5. Consider Brinson Partners Global Securities Fund.
Has its performance been due to timing or superior security selection?
Brinson's implicit time-varying portfolio weights, based on 3-year rolling Sharpe coefficients are provided below. Are the EAFE weights correlated to leading or lagging returns to the EAFE index? Why would you care?
6. What is the source of Euclid's performance? Can you figure out what they invest in?
7. Would you keep all the current managers? Would you allocate funds equally across them? Do any of them provide any special diversification benefits.
Table I. Managers, Dates they started, Benchmarks and Fees
Manager Start Date Benchmark Fixed &Incen Fees
Brinson Partners Inc. Global Securiti 3/82 EAFE Index »% +2%
Equinox Capital Mgmt U.S. Equity 3/86 S&P 500 »% +2%
Euclid Advisors Inc. Euclid Advisors 3/90 T-Bills »% +25%
Fidelity Mgmt Trust Co. Select Small Ca 6/89 Small Cal Value »% +2%
First Quadrant Corporation Global TAA 3/89 50%/50% EAFE/TB »% +2%
Harris Investment Mgmt Systematic Equi 3/86 S&P 500 »% +2%
J.P. Morgan Invt Mgmt Tactical Asset 12/85 50%/50% S&P/TB »% +2%
Lord Abbett & Co. Value Equity 3/77 Large-cap Value »% +2%
PanAgora Asset Management Tactical Asset 12/85 50%/50% S&P/TB »% +2%
Renaissance Investment Mgmt Three Way Asset 3/78 50%/50% S&P/TB »% +2%
Table II. Brinson Partners Global Securities
Rolling Estimated Sharpe Coefficients
Estimated using 12 leading quarters of returns
| U.S. LT Gvt TR (E) | U.S. 30 Day TBill TR (E) | Wilshire Large Value TR (E) | Wilshire Small Growth TR (E) | Wilshire Small Value TR (E) | Wilshire Large Growth TR (E) | MSCI EAFE TR (E) | R Squared (E) | |
| Overall Style | 27.23 | 39.46 | 0.00 | 5.72 | 5.38 | 12.31 | 9.90 | 78.28 |
| Mar 1985 | 29.64 | 3.85 | 0.00 | 25.72 | 16.61 | 0.00 | 24.18 | 97.43 |
| Jun 1985 | 30.47 | 3.45 | 0.00 | 24.44 | 17.91 | 0.00 | 23.73 | 95.64 |
| Sep 1985 | 28.46 | 6.98 | 0.00 | 26.21 | 15.47 | 0.00 | 22.87 | 94.46 |
| Dec 1985 | 33.19 | 6.94 | 0.00 | 27.61 | 7.37 | 0.00 | 24.89 | 93.76 |
| Mar 1986 | 17.17 | 31.72 | 0.00 | 12.38 | 23.03 | 0.00 | 15.70 | 91.74 |
| Jun 1986 | 11.32 | 38.68 | 0.00 | 9.64 | 28.60 | 0.00 | 11.76 | 90.55 |
| Sep 1986 | 15.30 | 38.51 | 0.00 | 0.00 | 27.59 | 7.09 | 11.51 | 92.12 |
| Dec 1986 | 7.81 | 37.02 | 0.00 | 0.00 | 42.97 | 0.00 | 12.20 | 94.09 |
| Mar 1987 | 20.44 | 42.21 | 0.00 | 0.00 | 16.25 | 10.98 | 10.13 | 90.58 |
| Jun 1987 | 20.82 | 45.16 | 0.00 | 0.00 | 13.15 | 9.20 | 11.69 | 92.18 |
| Sep 1987 | 17.89 | 59.23 | 0.00 | 0.00 | 2.95 | 15.54 | 4.39 | 98.58 |
| Dec 1987 | 20.83 | 58.17 | 0.00 | 6.19 | 0.75 | 8.53 | 5.54 | 96.93 |
| Mar 1988 | 25.34 | 62.51 | 0.00 | 11.47 | 0.00 | 0.00 | 0.68 | 93.99 |
| Jun 1988 | 25.32 | 62.52 | 0.00 | 11.53 | 0.00 | 0.00 | 0.63 | 94.06 |
| Sep 1988 | 26.66 | 60.87 | 0.00 | 9.64 | 0.00 | 1.59 | 1.24 | 94.19 |
| Dec 1988 | 26.85 | 60.02 | 0.00 | 11.59 | 0.00 | 0.00 | 1.54 | 92.63 |
| Mar 1989 | 26.70 | 60.25 | 0.00 | 11.57 | 0.00 | 0.00 | 1.49 | 90.52 |
| Jun 1989 | 30.50 | 55.19 | 0.00 | 11.34 | 0.00 | 0.00 | 2.97 | 82.59 |
| Sep 1989 | 26.19 | 59.13 | 0.00 | 10.00 | 0.00 | 0.00 | 4.68 | 80.66 |
| Dec 1989 | 25.31 | 58.36 | 1.57 | 5.98 | 0.00 | 0.00 | 8.79 | 80.92 |
| Mar 1990 | 25.03 | 59.10 | 0.00 | 7.97 | 0.00 | 0.00 | 7.90 | 79.40 |
| Jun 1990 | 27.54 | 54.48 | 4.33 | 3.61 | 0.00 | 0.00 | 10.04 | 82.49 |
| Sep 1990 | 28.88 | 53.05 | 0.00 | 2.90 | 6.20 | 0.00 | 8.97 | 84.81 |
| Dec 1990 | 36.16 | 43.54 | 0.00 | 9.49 | 1.12 | 0.00 | 9.69 | 89.80 |
| Mar 1991 | 16.72 | 46.03 | 18.56 | 4.34 | 0.00 | 6.29 | 8.05 | 99.33 |
| Jun 1991 | 17.42 | 47.24 | 13.93 | 8.17 | 0.00 | 5.02 | 8.21 | 99.25 |
| Sep 1991 | 17.44 | 47.41 | 11.91 | 7.75 | 0.00 | 7.14 | 8.35 | 99.08 |
| Dec 1991 | 21.21 | 46.01 | 11.01 | 10.94 | 0.00 | 1.52 | 9.31 | 99.05 |
| Mar 1992 | 22.75 | 45.76 | 5.01 | 10.34 | 1.27 | 4.79 | 10.08 | 98.77 |
| Jun 1992 | 24.06 | 45.07 | 3.96 | 10.20 | 0.00 | 6.56 | 10.15 | 98.80 |
| Sep 1992 | 25.70 | 31.05 | 30.57 | 0.00 | 0.00 | 10.47 | 2.21 | 98.98 |
| Dec 1992 | 21.76 | 35.22 | 27.78 | 0.00 | 0.22 | 11.52 | 3.50 | 97.81 |
| Mar 1993 | 21.87 | 36.13 | 25.73 | 0.00 | 0.00 | 11.36 | 4.92 | 97.62 |
| Jun 1993 | 23.09 | 36.14 | 20.74 | 0.00 | 2.06 | 11.87 | 6.10 | 97.37 |
| Sep 1993 | 18.51 | 39.98 | 18.72 | 0.00 | 0.00 | 14.34 | 8.45 | 97.56 |
| Dec 1993 | 18.00 | 34.03 | 21.17 | 0.00 | 3.56 | 14.44 | 8.79 | 94.79 |
| Mar 1994 | 15.70 | 37.00 | 19.91 | 0.00 | 2.11 | 15.30 | 9.97 | 94.30 |
| Jun 1994 | 20.87 | 33.04 | 19.75 | 0.00 | 3.50 | 15.12 | 7.71 | 94.06 |
| Sep 1994 | 24.76 | 33.94 | 13.50 | 0.00 | 6.93 | 13.77 | 7.10 | 94.54 |
| Dec 1994 | 21.26 | 37.47 | 22.85 | 0.00 | 0.00 | 14.16 | 4.27 | 93.69 |
| Mar 1995 | 14.39 | 33.64 | 16.32 | 0.00 | 13.19 | 11.06 | 11.40 | 86.91 |
| Jun 1995 | 12.47 | 30.47 | 21.58 | 0.00 | 9.01 | 13.63 | 12.84 | 87.97 |
| Sep 1995 | 9.90 | 0.00 | 7.00 | 2.29 | 8.47 | 38.29 | 34.04 | 98.69 |
| Dec 1995 | 14.14 | 0.00 | 0.23 | 1.32 | 12.09 | 38.57 | 33.66 | 98.53 |
| Mar 1996 | 18.67 | 0.00 | 6.04 | 0.00 | 2.61 | 38.73 | 33.95 | 96.87 |
| Jun 1996 | 14.38 | 0.00 | 10.02 | 0.00 | 0.00 | 40.48 | 35.12 | 96.19 |
| Sep 1996 | 14.45 | 0.00 | 9.88 | 0.00 | 0.00 | 40.53 | 35.14 | 96.20 |
| Dec 1996 | 16.22 | 2.78 | 5.80 | 0.00 | 11.02 | 34.01 | 30.18 | 93.55 |
| Mar 1997 | 14.31 | 13.04 | 8.30 | 0.00 | 21.60 | 24.02 | 18.72 | 93.30 |
| Jun 1997 | 13.81 | 15.41 | 8.73 | 0.00 | 21.90 | 22.78 | 17.37 | 91.02 |
| Sep 1997 | 13.42 | 33.85 | 13.30 | 0.00 | 25.26 | 5.27 | 8.90 | 90.86 |
Table III: Returns Of Funds
| Brinson Partners Inc. Global Securiti | First Quadrant CorporatioGlobal TAA | Equinox Capital Mgmt U.S. Equity | Lord Abbett & Co. Value Equity | PanAgora Asset ManagementTactical Asset | J.P. Morgan Invt Mgmt Tactical Asset | Euclid Advisors Inc. Euclid Advisors | Renaissance Investment MgThree Way Asset | Fidelity Mgmt Trust Co. Select Small Ca | Harris Investment Mgmt Systematic Equi | |
| %Total Return | %Total Return | %Total Return | %Total Return | %Total Return | %Total Return | %Total Return | %Total Return | %Total Return | %Total Return | |
| Dec 1976 | -999 | -999 | -999 | -999 | -999 | -999 | -999 | -999 | -999 | -999 |
| Mar 1977 | -999 | -999 | -999 | -5.16 | -999 | -999 | -999 | -999 | -999 | -999 |
| Jun 1977 | -999 | -999 | -999 | 2.71 | -999 | -999 | -999 | -999 | -999 | -999 |
| Sep 1977 | -999 | -999 | -999 | -5.93 | -999 | -999 | -999 | -999 | -999 | -999 |
| Dec 1977 | -999 | -999 | -999 | 1.12 | -999 | -999 | -999 | -999 | -999 | -999 |
| Mar 1978 | -999 | -999 | -999 | -4.55 | -999 | -999 | -999 | 2.57 | -999 | -999 |
| Jun 1978 | -999 | -999 | -999 | 6.96 | -999 | -999 | -999 | 12.05 | -999 | -999 |
| Sep 1978 | -999 | -999 | -999 | 8.02 | -999 | -999 | -999 | 16.74 | -999 | -999 |
| Dec 1978 | -999 | -999 | -999 | -5.89 | -999 | -999 | -999 | -2.59 | -999 | -999 |
| Mar 1979 | -999 | -999 | -999 | 8.73 | -999 | -999 | -999 | 2.46 | -999 | -999 |
| Jun 1979 | -999 | -999 | -999 | 3.32 | -999 | -999 | -999 | 1.36 | -999 | -999 |
| Sep 1979 | -999 | -999 | -999 | 9.99 | -999 | -999 | -999 | 6.59 | -999 | -999 |
| Dec 1979 | -999 | -999 | -999 | 2.46 | -999 | -999 | -999 | 2.59 | -999 | -999 |
| Mar 1980 | -999 | -999 | -999 | -5.26 | -999 | -999 | -999 | -1.2 | -999 | -999 |
| Jun 1980 | -999 | -999 | -999 | 13.79 | -999 | -999 | -999 | 8.26 | -999 | -999 |
| Sep 1980 | -999 | -999 | -999 | 8.27 | -999 | -999 | -999 | 20.77 | -999 | -999 |
| Dec 1980 | -999 | -999 | -999 | 7.46 | -999 | -999 | -999 | 4.45 | -999 | -999 |
| Mar 1981 | -999 | -999 | -999 | 6.39 | -999 | -999 | -999 | 7.79 | -999 | -999 |
| Jun 1981 | -999 | -999 | -999 | -1.72 | -999 | -999 | -999 | 4.28 | -999 | -999 |
| Sep 1981 | -999 | -999 | -999 | -9.73 | -999 | -999 | -999 | -4.65 | -999 | -999 |
| Dec 1981 | -999 | -999 | -999 | 6.53 | -999 | -999 | -999 | 8.58 | -999 | -999 |
| Mar 1982 | -4.24 | -999 | -999 | -3.49 | -999 | -999 | -999 | -3.59 | -999 | -999 |
| Jun 1982 | -0.67 | -999 | -999 | -0.39 | -999 | -999 | -999 | -1.38 | -999 | -999 |
| Sep 1982 | 9.81 | -999 | -999 | 11.1 | -999 | -999 | -999 | 10.79 | -999 | -999 |
| Dec 1982 | 19.06 | -999 | -999 | 22.43 | -999 | -999 | -999 | 20.93 | -999 | -999 |
| Mar 1983 | 6.69 | -999 | -999 | 9.52 | -999 | -999 | -999 | 12.55 | -999 | -999 |
| Jun 1983 | 7.32 | -999 | -999 | 7.58 | -999 | -999 | -999 | 9.29 | -999 | -999 |
| Sep 1983 | 1.35 | -999 | -999 | 2.36 | -999 | -999 | -999 | -2.91 | -999 | -999 |
| Dec 1983 | 1.86 | -999 | -999 | 4.1 | -999 | -999 | -999 | -0.85 | -999 | -999 |
| Mar 1984 | -0.28 | -999 | -999 | -4.11 | -999 | -999 | -999 | -2.63 | -999 | -999 |
| Jun 1984 | -3.88 | -999 | -999 | -4.07 | -999 | -999 | -999 | -3.76 | -999 | -999 |
| Sep 1984 | 7.48 | -999 | -999 | 10.13 | -999 | -999 | -999 | 10.47 | -999 | -999 |
| Dec 1984 | 4.65 | -999 | -999 | 4.26 | -999 | -999 | -999 | 8.86 | -999 | -999 |
| Mar 1985 | 5.22 | -999 | -999 | 7.5 | -999 | -999 | -999 | 0.61 | -999 | -999 |
| Jun 1985 | 6.47 | -999 | -999 | 7.36 | -999 | -999 | -999 | 13.18 | -999 | -999 |
| Sep 1985 | 3.24 | -999 | -999 | -4.27 | -999 | -999 | -999 | -1.72 | -999 | -999 |
| Dec 1985 | 9.06 | -999 | -999 | 16.03 | 11.93 | 13.46 | -999 | 13.32 | -999 | -999 |
| Mar 1986 | 10.02 | -999 | 16.67 | 15.49 | 9.25 | 14.91 | -999 | 14.69 | -999 | 18.6 |
| Jun 1986 | 4.22 | -999 | 9.09 | 2.61 | 4.16 | 7.14 | -999 | 4.15 | -999 | 6.44 |
| Sep 1986 | 0.44 | -999 | -3.04 | -3.51 | -3.41 | -4.18 | -999 | -9.73 | -999 | -4.9 |
| Dec 1986 | 3.95 | -999 | 3.09 | 5.94 | 4.97 | 5.89 | -999 | 6.5 | -999 | 4.84 |
| Mar 1987 | 7.35 | -999 | 21.63 | 18.42 | 12.02 | 8.49 | -999 | 18.94 | -999 | 20.01 |
| Jun 1987 | 2.57 | -999 | 5.31 | 5.65 | 3.3 | -2.31 | -999 | -5.03 | -999 | 0.74 |
| Sep 1987 | 0.72 | -999 | 7.24 | 6.39 | 4.04 | -10.38 | -999 | -5.28 | -999 | 4.64 |
| Dec 1987 | 2.85 | -999 | -20.86 | -20.77 | -10.4 | 18.16 | -999 | 4.78 | -999 | -24.02 |
| Mar 1988 | 5.93 | -999 | 11.19 | 4.57 | 6.26 | 4.43 | -999 | 4.32 | -999 | 10.54 |
| Jun 1988 | 3.5 | -999 | 5.49 | 8.46 | 5.1 | 2.99 | -999 | 3.06 | -999 | 8.31 |
| Sep 1988 | 1.82 | -999 | -0.54 | -1.82 | 0.92 | 2.79 | -999 | 1.21 | -999 | 0.22 |
| Dec 1988 | 3.7 | -999 | 2.31 | 2.6 | 1.72 | 1.68 | -999 | 2.94 | -999 | 1.37 |
| Mar 1989 | 4.11 | -1.64 | 6.86 | 4.82 | 2.87 | 3.03 | -999 | 1.29 | -999 | 8.51 |
| Jun 1989 | 5.37 | -4.13 | 7.34 | 6.31 | 5.59 | 9.08 | -999 | 2.34 | -999 | 5.45 |
| Sep 1989 | 5.55 | 5.69 | 11.27 | 9.06 | 5.84 | 4.52 | -999 | 2.02 | -999 | 15.16 |
| Dec 1989 | 2.95 | 5.38 | 1.29 | 3.25 | 2.8 | 4.82 | -999 | -0.32 | -999 | -2.02 |
| Mar 1990 | -1.5 | -7.53 | -1.54 | 0.16 | -1.43 | -2.61 | 1.5 | 0.08 | -999 | -2.72 |
| Jun 1990 | 4.25 | 6.59 | 2.19 | 3.43 | 3.72 | 4.45 | 5.8 | 3.93 | -999 | 2.9 |
| Sep 1990 | -5.03 | 1.47 | -12.59 | -11.94 | -6.88 | -4.43 | 15.2 | -7.84 | -999 | -13.47 |
| Dec 1990 | 7.58 | 8.62 | 9.22 | 8.67 | 7.48 | 8.15 | 10 | 9.19 | -999 | 7.03 |
| Mar 1991 | 8.1 | 10.22 | 18.96 | 9.86 | 10.72 | 7.4 | 1.9 | 16.39 | -999 | 15.57 |
| Jun 1991 | 0.61 | 2.22 | -0.61 | -0.82 | -0.06 | 0.75 | 1.2 | -1.73 | -999 | -2.05 |
| Sep 1991 | 6.65 | 4.4 | 6.01 | 5.39 | 6.23 | 6.08 | 4.2 | 3.99 | -999 | 5.4 |
| Dec 1991 | 6.22 | 4.67 | 5.95 | 5.02 | 8.73 | 7.28 | 6.4 | 8.12 | -999 | 8.6 |
| Mar 1992 | -1.03 | -4.36 | 2.58 | 0.97 | -1.9 | -1.83 | 3.1 | 0.12 | -999 | 0.27 |
| Jun 1992 | 4.06 | -1.05 | 0.37 | 4.07 | 2.12 | 2.58 | 3.4 | -0.16 | -999 | -1.33 |
| Sep 1992 | 3.07 | 2.97 | -0.34 | 2.02 | 3.69 | 3.86 | 0.9 | 1.95 | -999 | 3.04 |
| Dec 1992 | 2.76 | 1.4 | 6.63 | 6.66 | 5.32 | 3.1 | 4.2 | 4.31 | -999 | 7.09 |
| Mar 1993 | 5.13 | 5.58 | 5.06 | 6.97 | 4.55 | 4.6 | 8.7 | 4.16 | -999 | 8.66 |
| Jun 1993 | 2.58 | 4.31 | 1.96 | 1.02 | 0.59 | 1.14 | 4 | 0.78 | -999 | 4.85 |
| Sep 1993 | 2.85 | 4 | 4.19 | 5.45 | 2.72 | 2.34 | 5.4 | 3.68 | -999 | 3.61 |
| Dec 1993 | 0.9 | -0.26 | 0.36 | 3.17 | 2.36 | 2.22 | -5 | 1.98 | -999 | 0.99 |
| Mar 1994 | -2.23 | -0.71 | -1.85 | -3.13 | -4 | -2.84 | 2.1 | -3.84 | -999 | -2.35 |
| Jun 1994 | 0.12 | 0.7 | 0.38 | 1.66 | -0.68 | 0.03 | 0.1 | -1.4 | -999 | -1.79 |
| Sep 1994 | 2.34 | -0.09 | 3.51 | 7.73 | 2.74 | 2.8 | -3.6 | 3 | -999 | 5.48 |
| Dec 1994 | -0.88 | 0.56 | -1.89 | -1.02 | 0.83 | 1.42 | 3.9 | -1.4 | -999 | -2.91 |
| Mar 1995 | 5.54 | -0.2 | 8.92 | 9.1 | 7.35 | 7.47 | 1.2 | 10.38 | -999 | 8.38 |
| Jun 1995 | 6.56 | 3.2 | 10.38 | 7.59 | 8.91 | 8.95 | 8.7 | 7.96 | -999 | 10.47 |
| Sep 1995 | 5.53 | 8.29 | 9.29 | 7.52 | 6.55 | 5.42 | 6.5 | 6.75 | -999 | 9.79 |
| Dec 1995 | 5.94 | 6.09 | 6.54 | 5.48 | 4.88 | 5.5 | -1.25 | 3.3 | 1.42 | 4.23 |
| Mar 1996 | 2.74 | 4.2 | 6.26 | 5.22 | 2.42 | 0.82 | 1.45 | 1.48 | 5.74 | 7.07 |
| Jun 1996 | 3.09 | 3.15 | 2.62 | 0.92 | 2.62 | 1.84 | 6.57 | 2.01 | 6.17 | 2.75 |
| Sep 1996 | 3.57 | 2.16 | 3.08 | 2.07 | 2.69 | 2.78 | 0.59 | 3.52 | 2.84 | 4.02 |
| Dec 1996 | 5.94 | 4.29 | 10.65 | 8.84 | 6.91 | 5.9 | 4.6 | 4.66 | 6.59 | 10.17 |
| Mar 1997 | 0.68 | 2.7 | 1.32 | 2.97 | 1.88 | -1.32 | 1.44 | -0.7 | -3.79 | 2.16 |
| Jun 1997 | 8.55 | 11.43 | 15.68 | 14.57 | 4.91 | 5.7 | 3.05 | 10.18 | 17.31 | 14.9 |
| Sep 1997 | 4.03 | 2.9 | 11.74 | 6.87 | 3.75 | 5.13 | 7.51 | 8.41 | 17.16 | 16 |