Research Article

Inference for the Sharpe Ratio Using a Likelihood-Based Approach

Table 6

Results for simulation study for market for .

CI Method Lower error Upper error Central coverage

Jobson and Korkie 0.0622 0.0518 0.8860
Mertens 0.0930 0.0514 0.8556
90% Likelihood ratio 0.0821 0.0513 0.8666
Proposed 0.0528 0.0514 0.8958
Nominal 0.0500 0.0500 0.9000
Standard error 0.0022 0.0022 0.0030

Jobson and Korkie 0.0320 0.0290 0.9390
Mertens 0.0500 0.0284 0.9216
95% Likelihood ratio 0.0407 0.0303 0.9290
Proposed 0.0280 0.0275 0.9445
Nominal 0.0250 0.0250 0.9500
Standard error 0.0016 0.0016 0.0022

Jobson and Korkie 0.0053 0.0061 0.9886
Mertens 0.0245 0.0073 0.9682
99% Likelihood ratio 0.0100 0.0069 0.9831
Proposed 0.0046 0.0053 0.9901
Nominal 0.0050 0.0050 0.9900
Standard error 0.0007 0.0007 0.0010