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Please show work and explian. Thank you You have been tasked with modeling and finding the price of a call option on a market basket

image text in transcribedPlease show work and explian. Thank you

You have been tasked with modeling and finding the price of a call option on a "market basket" of three assets. The option pays out max(0,(Y, -K)) where ,-qS,,T + q2S2,T q3S3,T , q 1s a portfolio weight, and Si,T s the stock price for stock i -1, 2, and 3 at the end of day T. On day t -0 (today) you observe the current stock prices (Si,0,S2,0,S3,0 ) and have estimated the mean drift rates and volatilities for each stock i. You have also estimated the correlations p., between each pair of daily log-stock price shocks. The risk free rate is r. Describe in detail how you would go about pricing this option. How would you compute the unhedged 1% VaR for on the seller's potential payouts on this option? What are the assumptions you made in answering parts (a) and (b). Can you defend these assumptions? What are the limitations of the methodology you described in parts (a) and (b) of this problem? a. b. C. d. You have been tasked with modeling and finding the price of a call option on a "market basket" of three assets. The option pays out max(0,(Y, -K)) where ,-qS,,T + q2S2,T q3S3,T , q 1s a portfolio weight, and Si,T s the stock price for stock i -1, 2, and 3 at the end of day T. On day t -0 (today) you observe the current stock prices (Si,0,S2,0,S3,0 ) and have estimated the mean drift rates and volatilities for each stock i. You have also estimated the correlations p., between each pair of daily log-stock price shocks. The risk free rate is r. Describe in detail how you would go about pricing this option. How would you compute the unhedged 1% VaR for on the seller's potential payouts on this option? What are the assumptions you made in answering parts (a) and (b). Can you defend these assumptions? What are the limitations of the methodology you described in parts (a) and (b) of this problem? a. b. C. d

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