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two-security-diversification.xlsx

Sheet1

Asset Allocation Analysis: Risk and Return
Standard Correlation
Return Deviation Coefficient Covariance
HML 12.00% 29.00% 0.2000 0.0087
UMD 8.00% 15.00%
T-Bill 1.00% 0.00%
Weight Weight Expected Standard Reward to
Security 1 Security 2 Return Deviation Variability
1.0 0.0 0.12000 0.29000 0.37931
0.9 0.1 0.11600 0.26441 0.40089
0.8 0.2 0.11200 0.23981 0.42534
0.7 0.3 0.10800 0.21654 0.45258
0.6 0.4 0.10400 0.19507 0.48188
0.5 0.5 0.10000 0.17607 0.51117
0.4 0.6 0.09600 0.16041 0.53612
0.3 0.7 0.09200 0.14916 0.54975
0.2 0.8 0.08800 0.14335 0.54414
0.1 0.9 0.08400 0.14364 0.51518
0.0 1.0 0.08000 0.15000 0.46667
Minimum Variance Portfolio
Short Sales No Short
Allowed Sales
Weight 1 0.15471 0.15471
Weight 2 0.84529 0.84529
Return 0.08619 0.08619
Risk 0.14271 0.14271
Optimal Risky Portfolio
Short Sales No Short
Allowed Sales
Weight 1 0.27457 0.27457
Weight 2 0.72543 0.72543
Return 0.09098 0.09098
Risk 0.14713 0.14713 LEGEND:
Reward-to-Variability 0.55043 0.55043 Enter data
Value calculated
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Portfolio Risk and Return

Portfolio Opportunity Set 0.28999999999999998 0.26440877443836847 0.23980825673858688 0.2165363710788559 0.1950692184841063 0.17606816861659008 0.16041196962820448 0.14915763473587265 0.14334573589751459 0.14363843496780382 0.15 0.12 0.11599999999999999 0.112 0.10799999999999998 0.104 0.1 9.6000000000000002E-2 9.1999999999999998E-2 8.7999999999999995E-2 8.4000000000000005E-2 0.08 Capital Allocation Line (MV) 0 0.14270607002340391 0.01 8.6188340807174885E-2 Capital Allocation Line (OR) 0 0.14712786546738843 0.01 9.0982931135962328E-2

Standard Deviation

Expected return