3. Arbitrage examples. Find the values of the following: Arbitrage Free Pricing of Risky Securities (Assumes 50/50 Chance of Up or Down Market) Price Today Market Down Market Expected Down Up Up Return Return Return $952.38 $1,000 $1,000 5% 5% 5% Security Risk Free Bond Security A Security B Market Index $797.62 $500 $1,500 25% -37% 88% $630.95 $1,000 $0 -21% 58% -100% $1,750.00 $1,500 $2,500 14% -14% 43% a. Determine the price today a new Security C which pays $3000 in an Up market and O in a Down market. Show your work by showing the combination of existing instruments you would use to create Security C. b. If someone owned the Market Index, and came to you asking what they should due to reduce their risk in a Down market, which financial instrument would you recommend that they buy? Why? C. What is the price of buying Market Index and selling the Risk Free Bond? d. Why is price of the transaction c. is identical to the price of Security A? 3. Arbitrage examples. Find the values of the following: Arbitrage Free Pricing of Risky Securities (Assumes 50/50 Chance of Up or Down Market) Price Today Market Down Market Expected Down Up Up Return Return Return $952.38 $1,000 $1,000 5% 5% 5% Security Risk Free Bond Security A Security B Market Index $797.62 $500 $1,500 25% -37% 88% $630.95 $1,000 $0 -21% 58% -100% $1,750.00 $1,500 $2,500 14% -14% 43% a. Determine the price today a new Security C which pays $3000 in an Up market and O in a Down market. Show your work by showing the combination of existing instruments you would use to create Security C. b. If someone owned the Market Index, and came to you asking what they should due to reduce their risk in a Down market, which financial instrument would you recommend that they buy? Why? C. What is the price of buying Market Index and selling the Risk Free Bond? d. Why is price of the transaction c. is identical to the price of Security A