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Financial Mathematics Problem Set 2 Problem 4: In the arbitrage-free T-periodic Cox-Ross-Rubinstein model, consider the model for fixed to E {1,...,T 1} - a so-called

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Financial Mathematics Problem Set 2 Problem 4: In the arbitrage-free T-periodic Cox-Ross-Rubinstein model, consider the model for fixed to E {1,...,T 1} - a so-called forward starting call option without payout: ) + ST K 1) 2 Sto with K > 0. (a) Determine the fair price of this option (b) Determine and interpret the associated (unique) hedging strategy Hint: You may use A clear particular hedging strategy & (a,b) for H for all t E {0, 1,...,T following formula fulfilled: , (u - d) St(wt) = - 1} has the 0+(w) = V/41(w*, u) V.41 (w*, d) t71 Financial Mathematics Problem Set 2 Problem 4: In the arbitrage-free T-periodic Cox-Ross-Rubinstein model, consider the model for fixed to E {1,...,T 1} - a so-called forward starting call option without payout: ) + ST K 1) 2 Sto with K > 0. (a) Determine the fair price of this option (b) Determine and interpret the associated (unique) hedging strategy Hint: You may use A clear particular hedging strategy & (a,b) for H for all t E {0, 1,...,T following formula fulfilled: , (u - d) St(wt) = - 1} has the 0+(w) = V/41(w*, u) V.41 (w*, d) t71

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