]>Selecting the Best Forecasting-Implied Volatility Model Using Genetic Programming : Table 3
Table 3: Selection of the best generated GP volatility models relative to time series and moneyness-time to maturity in terms of the MSE total and the MSE out-of-sample (The numbers in parentheses are standard errors of the corresponding measures of the generated GP volatility models).

ModelsMSE totalMSE out-of-sample

M4S40,001444 (0,002727)0,001539 (0,002788)
M4C40,001710 (0,0046241)0,001944 (0,005108)
M6C60,002357 (0,0040963)0,002458 (0,00415354)