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Question 1 (5 marks) Consider a two-period lived agent who is endowed with ; in time period t = 1,2, and who has a discount factor 8. Let and s; represent his consumption and savings in time period t 1,2, with 7 the real interest rate. Let 4 (:) = V7, t =1,2. Which of the following representations of his optimization problem are correct? Explain why the option(s) you have chosen is/are right and why the other options are wrong. (7): max fey + B./e3 eC); styl = Cit $1 Cot $8 = %+4+(147)%1 (I): max Ve + Be 1,2 c2 4 yo s.t. ere a, (ID): max,/y, +2024 Be co +r A: Statement (J) only. B: Statement (JZ) only. C: Statement (/I/) only. D: Statements (J) and (JJ) only. E: Statements (J) and (JJ) only. F: Statements (J) and (I//) only. G: All of the statements. H: None of the statements