I was wondering if I have to take the strike prices of options into consideration when doing a gamma and delta hedging. As an example, let's suppose that I have 2 positions:
a long position call option with strike 55\$, delta $\Delta_1=0,5$ and Gamma $\Gamma_1=0,03$
a short position put option with strike 56\$, delta $\Delta_2=-0,7$ and Gamma $\Gamma_2=0,01$.
The difference in strike prices shouldn't play a role when doing gamma and delta hedging right?