Compute profit diagrams for the following ratio spreads:
a) buy 950-strike call, sell two 1050-strike calls
b) buy two 950-strike call, sell three 1050-strike calls
c) consider buying n 950-striek calls and selling m 1050-strike calls so that the premium of the position is zero. Considering your analysis in (a) and (b), what can you say about n/m? what exact ratio gives you a zero premium?