Suppose in the following portfolios all options are based on the same stock, have expiry date $T$ and strike price $K$ (unless otherwise stated). In each case find the portfolio value at time $T$ in terms of $S_T , K$:
one call option and one put option;
two call options and one share sold (i.e. short);
one share, short one call option;
one $(K_1,T)$ call option, short one $(K_2,T)$ put option.
For the first portfolio, I got $$\max(K-S_T,S_T-K)$$
For the second portfolio, I have $$\max(2(S_T - K),0)-S_0$$
For the last two I am really unsure and would be happy about your help.
For portfolio 3:
$$(S_T-S_0) - max(S_T - K,0)$$
For portfolio 4: $$ max(S_T-K_1,0) - max(K_2-S_T,0)$$
Also, I believe Portfolio 2 should be: $$max(2(S_T - K),0)-(S_T-S_0)$$
Also, all of these valuations ignore any financing benefit/costs.