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Arbitrage Opportunity: Example · Example: Two securities A and B, both sell at $1; suppose risk-free rate is zero. State Secu

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answer a) Returns in different sates are

State 1: 1/3*-2+2/3*4= $2

State 2:1/3*8+2/3*-1 = $ 2

Answer b) By making investment of 0.5 million in the portfolio arrangement , the net outcome will be

0.5*(1/3*A+2/3*B) = 0.5*2 = $ 1 million

So, the investor remain solvent in each state of world.

At end of year , total again = earning - loan repaid = [0.5+0.5*(1/3*A+2/3*B) -1] =$ 0.5 Million.

Answer c) I made this investment to earn arbitrage profit of 0.5 million , as rational investors.

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