# What is the correlation of stock options?

I want to calculate the VaR of two correlated option positions, and I know the correlation between stock price returns. I want to separately calculate $Var_1$,$Var_2$ for option 1 and 2, and then use $$\sqrt{(w_1var1)^2+(w_2var2)^2+2*corr*w_1*w_2*var_1*var_2}$$ to calculate the portfolio var, but I don't know if the option correlation is the same with its underlying stock returns correlation?