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Please and Thank you! 1. You are given the following information about a securities market: - There are three nondividend-paying stocks, X,Y, and Z. -

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Please and Thank you!

1. You are given the following information about a securities market: - There are three nondividend-paying stocks, X,Y, and Z. - The current stock prices are (X0,Y0,Z0)=(100,100,100). - The yearly compounded risk-free interest rate is 1%. - There are four possible outcomes for the prices of X,Y, and Z one year from now: (X1(),Y1(),Z1())=(120,110,110)(110,120,100)(90,80,100)(80,90,95):=1:=2:=3:=4 - The market is complete, which means a unique risk-neutral measure exists. - Let V0C,Y be the current price of a call option on Y, and V0P,X the current price of a put on X. Both options expire in one year, and have a common strike price of K=100. - Let V0fractional be the initial price of a type of "fractional exchange", which at time T=1 pays Z1X1Y1. Compute - the risk-neutral measure (10 pts), and - V0C,Y(20pts), and - V0P,X(20 pts ), and - V0fractional(50pts)

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