We will derive a two-state put option value in this problem. data: s0 = 100; x = 110; 1 + r = 1.10. the two possibilities for st are 130 and 80.

a. the range of s is 50 while that of p is 30 across the two states. what is the hedge ratio of the put? (negative value should be indicated by a minus sign. round your answer to 2 decimal places.)