portfolio management

profilealnnrye
SolutionstoLecture9Examples.xlsx

Average methods

Yr Price Dividend Purchase/Sale Shares held R 1+R Cashflows
-3 1.00 0 100 100 - 100.00
-2 1.20 0.05 50 150 25.0% 125.0% - 52.50
-1 1.10 0.06 30 180 -3.3% 96.7% - 22.20
0 1.50 0 -180 0 36.4% 136.4% 270.00
18.112% 19.1259%
Geometric mean Dollar weighted mean
18.11%

SR and M2

ASX200 AIF rf Wp* rp* M2
Return 15.4% 10.0% 1.5% 3.10 27.9% 12.5%
SD 9.3% 3.0% 0.0% 0.124731
Sharpe 1.50 2.84

AFI

1.50%
AFI ASX300 AFI ASX300 residual (epsilon)
Price Dividend Return 1+R Return 1+R Risk-free rate Excess Returns (r-rf, rm-rf) (r-rf) - (rm-rf) (regression) 1+Excess rtn of AFI 1+Excess rtn of ASX
Aug-17 5.75 r-rf (dep, y) rm-rf (Ind, x)
Sep-17 5.73 -0.35% 99.65% 0.04% 100.04% 0.125% Sep-17 -0.47% -0.09% -0.38% -0.33% 99.5272% 99.91%
Oct-17 5.95 3.84% 103.84% 4.02% 104.02% 0.125% Oct-17 3.71% 3.89% -0.18% 0.13% 103.7144% 103.89%
Nov-17 6.03 1.34% 101.34% 1.69% 101.69% 0.125% Nov-17 1.22% 1.57% -0.35% -0.19% 101.2195% 101.57%
Dec-17 6.15 1.99% 101.99% 1.86% 101.86% 0.125% Dec-17 1.87% 1.73% 0.13% 0.30% 101.8650% 101.73%
Jan-18 6.13 -0.33% 99.67% -0.39% 99.61% 0.125% Jan-18 -0.45% -0.52% 0.07% 0.10% 99.5498% 99.48%
Feb-18 6.03 0.1 0.00% 100.00% 0.34% 100.34% 0.125% Feb-18 -0.13% 0.21% -0.34% -0.26% 99.8750% 100.21%
Mar-18 5.83 -3.32% 96.68% -3.73% 96.27% 0.125% Mar-18 -3.44% -3.85% 0.41% 0.23% 96.5583% 96.15%
Apr-18 6.02 3.26% 103.26% 3.78% 103.78% 0.125% Apr-18 3.13% 3.65% -0.52% -0.22% 103.1340% 103.65%
May-18 6.07 0.83% 100.83% 1.19% 101.19% 0.125% May-18 0.71% 1.07% -0.36% -0.23% 100.7056% 101.07%
Jun-18 6.27 3.29% 103.29% 3.19% 103.19% 0.125% Jun-18 3.17% 3.06% 0.11% 0.36% 103.1699% 103.06%
Jul-18 6.34 1.12% 101.12% 1.31% 101.31% 0.125% Jul-18 0.99% 1.18% -0.19% -0.05% 100.9914% 101.18%
Aug-18 6.29 0.14 1.42% 101.42% 1.40% 101.40% 0.125% Aug-18 1.29% 1.28% 0.02% 0.16% 101.2946% 101.28%
AIF ASX300
12 mth cumulative excess Rtn 12.0% 13.7%
Std Dev (ann) 6.84% 7.25% Std Dev (ann) 6.84% 7.25%
Arithmetic 13.10% 14.69%
Geometric 12.891% 14.452% Sharpe 1.76 1.90
M2 -1.03%
I Total variance= 0.0003895881 Treynor 0.128 0.137
II Residual variance = 0.0000058764 T2 -1.03%
III System risk variance = 0.0003837117
IV: difference (I-II-III)= 0 Alpha (industry) -1.74%
Beta 0.94 1.0
Tracking Error (industry) 0.96%
Information Ratio -1.82
Alpha (Regression) -0.06% monthly SUMMARY OUTPUT
-0.7% annual
Beta 0.94 1.00 Regression Statistics
Tracking Error (academic) 0.84% annual Multiple R 0.9924295352
Information Ratio - 0.89 R Square 0.9849163824
Adjusted R Square 0.9834080206
R-squared = 98.49% Standard Error 0.0025424472
Observations 12
ANOVA
df SS MS F Significance F
Regression 1 0.0042208289 0.0042208289 652.9709310757 0.0000000002
Residual 10 0.0000646404 0.000006464
Total 11 0.0042854693
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept (alpha) -0.0006238057 0.0008372369 -0.7450766939 0.4733730142 -0.0024892857 0.0012416743 -0.0024892857 0.0012416743
rm-rf (Ind) 0.9363602035 0.0366434219 25.5532958946 0.0000000002 0.8547135714 1.0180068356 0.8547135714 1.0180068356
t-value = coefficient/standard error

Style

Benchmark Qld Super Excess Return
Asset Class Weight Return Weight x Rtn Weight Return Weight x Rtn
Aus Shares 5.00% 13.00% 0.65% 25.00% 10.00% 2.500%
Int Shares 55.00% 12.00% 6.60% 15.00% 18.00% 2.70%
Bonds 40.00% 3.80% 1.52% 60.00% 4.50% 2.70%
100.00% 8.77% 100.00% 7.90% -0.87%
Asset Allocation Excess Weight Benchmark Return Contribution
Aus Shares 20.00% 13.00% 2.600%
Int Shares -40.00% 12.00% -4.800%
Bonds 20.00% 3.80% 0.7600% -1.440%
Security Selection Excess Return Portfolio Weight Contribution
Aus Shares -3.00% 25.00% -0.75%
Int Shares 6.00% 15.00% 0.90%
Bonds 0.70% 60.00% 0.42% 0.570%
-0.870%