3. Consider a securities market model with two nondividend-paying securities, X, Y and Z. There are three possible outcomes for the prices of these securities one year from now: Outcome 1 2 3 X $200 $50 $0 Y $0 $0 $300 Z $100 -$10 $90 If the current price of each of X and Y is $100, and if the effective annual risk-free interest rate is i = 10%, determine the current price of Z according to the principle of no arbitrage. 3. Consider a securities market model with two nondividend-paying securities, X, Y and Z. There are three possible outcomes for the prices of these securities one year from now: Outcome 1 2 3 X $200 $50 $0 Y $0 $0 $300 Z $100 -$10 $90 If the current price of each of X and Y is $100, and if the effective annual risk-free interest rate is i = 10%, determine the current price of Z according to the principle of no arbitrage