6-10 please

Part 1: 10Y/N questions 1 point each 1. In a 2 by 2 single period market with one risky asset, arbitrage free implies completeness. 2. There are incomplete and arbitrage free markets with 3 market states and 2 assets. 3. Necessary and sufficient conditions for a market to be complete is for the market matrix M to have full column rank. 4. There are no arbitrages in any 2 by 2 markets. 5. If a market has arbitrages then it cannot support a risk-neutral virtual martingale probabilty Q. 6. If a market has a risk-neutral martingale probability Q, then pricing of contingency claims by hedging agrees with that by the risk-neutral method. 7. There are no 3 by 2 markets that are arbitrage free. 8. All 3 by 2 markets are incomplete. 9. The column rank of a 2 by 3 real matrix M is equal to the column rank of its transpose MT. 10. A 2 by 3 market can be complete. Part 1: 10Y/N questions 1 point each 1. In a 2 by 2 single period market with one risky asset, arbitrage free implies completeness. 2. There are incomplete and arbitrage free markets with 3 market states and 2 assets. 3. Necessary and sufficient conditions for a market to be complete is for the market matrix M to have full column rank. 4. There are no arbitrages in any 2 by 2 markets. 5. If a market has arbitrages then it cannot support a risk-neutral virtual martingale probabilty Q. 6. If a market has a risk-neutral martingale probability Q, then pricing of contingency claims by hedging agrees with that by the risk-neutral method. 7. There are no 3 by 2 markets that are arbitrage free. 8. All 3 by 2 markets are incomplete. 9. The column rank of a 2 by 3 real matrix M is equal to the column rank of its transpose MT. 10. A 2 by 3 market can be complete