2. Which of the following facts about a one period market with S=4 states, N=5 securities, and payoff matrix D individually constitutes a sufficient condition for the existence of a riskfree payoff (i.e. a payoff 1RS )? Explain why or why not for each. (a) Rank(D)=Rank(D). (Here D denoted the transpose of the matrix D.) (b) Rank(D)=4. (c) The market does not permit arbitrage. (d) The market is complete. (e) $1 invested in security 1 at time 0 pays off $2 at time T in any state. (f) A unique state price vector exists. 2. Which of the following facts about a one period market with S=4 states, N=5 securities, and payoff matrix D individually constitutes a sufficient condition for the existence of a riskfree payoff (i.e. a payoff 1RS )? Explain why or why not for each. (a) Rank(D)=Rank(D). (Here D denoted the transpose of the matrix D.) (b) Rank(D)=4. (c) The market does not permit arbitrage. (d) The market is complete. (e) $1 invested in security 1 at time 0 pays off $2 at time T in any state. (f) A unique state price vector exists