Could you please solve this question? Thank you!

Letd> 2 be a natural number, and let (12, F,P,7,S) be an arbitrage-free one-period market model with d risky assets (and as usual one risk-free asset with interest rate r). Which of the following statements is NOT true? Select one: O a. Suppose a derivative C is added to the market, which is given by the formula C := IT:_, S;. Then the extended market model with Sd+1:= C and 7d+1 := 11.-0 Ti is also arbitrage-free. O b. If P!: F [0, 1] is another probability measure with P P', then (12,F,P',7, S) is also an arbitrage- free market model. O c. If one of the risky assets is removed from the model, the resulting one-period model stays arbitrage- free. O d. Suppose a derivative C is added to the market, which is given by the formula C := Lod; S; for some arbitrary but fixed real numbers li > 0. Then the extended market model with Sd+1:=C and Td+1:= = Di-o lini is also arbitrage-free. Letd> 2 be a natural number, and let (12, F,P,7,S) be an arbitrage-free one-period market model with d risky assets (and as usual one risk-free asset with interest rate r). Which of the following statements is NOT true? Select one: O a. Suppose a derivative C is added to the market, which is given by the formula C := IT:_, S;. Then the extended market model with Sd+1:= C and 7d+1 := 11.-0 Ti is also arbitrage-free. O b. If P!: F [0, 1] is another probability measure with P P', then (12,F,P',7, S) is also an arbitrage- free market model. O c. If one of the risky assets is removed from the model, the resulting one-period model stays arbitrage- free. O d. Suppose a derivative C is added to the market, which is given by the formula C := Lod; S; for some arbitrary but fixed real numbers li > 0. Then the extended market model with Sd+1:=C and Td+1:= = Di-o lini is also arbitrage-free