4. The following utilities for money are given for three different decision makers, A, B and C (in terms of total assets): Money (in million TL) : 0 100 200 300 400 500 Utility A: 0 0.03 0.08 0.15 0.25 0.40 B: C: 0 0.25 0.40 0.52 0.62 0.70 0 0.10 0.20 0.30 0.40 0.50 a) Identify the risk avoider among these three people. The risk avoider has assets of 200 million TL and is offered a contract where he may win 100 million TL with a probability of 0.55 or otherwise lose 100 million TL. Would the risk avoider accept this contract? Show. (Please be exact in your computations and do not round the numbers). b) Find the probability premium for this contract considering the person who is a risk avoider. c) If the risk avoider were offered two such contracts at the same time (i.e. simultaneously), would he accept it? Show.