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Table 12 Portfolio performance

From: To jump or not to jump: momentum of jumps in crude oil price volatility prediction

Models

h = 1

h = 5

h = 10

h = 22

Static

2.839

3.100

3.176

3.234

HAR-RV

3.502

3.719

3.756

3.783

HAR-CJ

3.487

3.702

3.741

3.764

Mean

3.504

3.719

3.755

3.776

MoJ

3.505

3.749

3.783

3.799

  1. This table provides the portfolio performance evaluated by the average realized utility (in percentage). In this portfolio exercise, we assume that a mean–variance investor will allocate her portfolio between WTI futures and risk-free bills by using different RV forecasts, which is based on a constant Sharpe ratio of 0.4 and a risk aversion coefficient of 2. The static model simply takes the rolling sample average of in-sample RVs as the RV forecast. The mean combination uses the equally weighted average (that is, simple mean) of the individual HAR-RV and HAR-CJ forecasts, while our MoJ strategy switches between the HAR-RV and HAR-CJ forecasts based on their relatively past forecasting performance. The past forecasting performance is evaluated by a 5-day look-back period