“…where , − ℎ , is the excess return of a mutual fund i over a benchmark in period t. As in equation 3SMB and HML are size ad value factors from Fama and French (1993) paper and WML is the Carhart (1997) Similarly, coefficients 1 * , 2, * 3, * 4 * represent the difference between a fund's and benchmark's Carhart betas (Angelidis et al, 2013, Mateus et al 2016. If the coefficients 1 * , 2, * 3, * 4 * are different from zero, this means that the mutual fund manager has different exposure to risk factors than the benchmark index.…”