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Monte Carlo simulation has been applied to study the thermal and magnetic properties of the inverse spinel-like structure, copper fluoride as an example, of spin 1/2 - spin 1 Ising interactions. Our calculations of the magnetization as a function of temperature shows compensation for low values of coupling strength between spin-1 type atoms (J 1) in the same layer, low absolute value of coupling strength between the layers of different spin type (J 3), and large values of coupling strength between spin-1/2 (J 2). The transition from ferrimagnetic to paramagnetic phase is observed at the critical temperature T c. In addition, T c increases slowly at different values of the exchange interaction. Regarding the anisotropy field D on spin 1 state, our results show a threshold value of −0.3 for the compensation to appear. Finally, our results are applicable to the Cu 2 F 5 compound which has d8 and d9 electron configurations. • The compensation temperature in the ferrimagnetic phase depends on the strength of the spin-spin interactions • Compensation occurs for small values of coupling strength of the same type atoms • Compensation occurs for large values of coupling strength of the different type atoms • An itinerant region has been revealed between the compensation and critical temperatures. [ABSTRACT FROM AUTHOR]