Research Article

Inference for the Sharpe Ratio Using a Likelihood-Based Approach

Table 5

Results for simulation study for fund for .

CI Method Lower error Upper error Central coverage

Jobson and Korkie 0.0586 0.0521 0.8893
Mertens 0.0778 0.0507 0.9715
90% Likelihood ratio 0.0712 0.0529 0.8759
Proposed 0.0512 0.0502 0.8986
Nominal 0.0500 0.0500 0.9000
Standard error 0.0022 0.0022 0.0030

Jobson and Korkie 0.0319 0.0267 0.9414
Mertens 0.0514 0.0278 0.9208
95% Likelihood ratio 0.0416 0.0285 0.9299
Proposed 0.0279 0.0251 0.9470
Nominal 0.0250 0.0250 0.9500
Standard error 0.0016 0.0016 0.0022

Jobson and Korkie 0.0059 0.0065 0.9876
Mertens 0.0208 0.0072 0.9720
99% Likelihood ratio 0.0098 0.0072 0.9830
Proposed 0.0048 0.0052 0.9900
Nominal 0.0050 0.0050 0.9900
Standard error 0.0007 0.0007 0.0010