Assume S1 to be a compound poison process with gamma individual risk X of gamma (2, 2/5) and that the insurer has start capital u=U0=5 x 10 to the power 6 and she set as limit for the ruin probability epsilon = 10 to the power -7 

a. Determine the adjustment coefficient ,the ruin probability for zero capital or a bound , and a bound for the ruin probability for the given start capital.