Question: Please do not copy answers from previous posts of this question as they have been done wrong Consider a 3-year forward contract on 50 underlying

Please do not copy answers from previous posts of this question as they have been done wrong

Please do not copy answers from previous posts of this question as

Consider a 3-year forward contract on 50 underlying assets S. Each asset pays 71 in a years time and 63 in 2 years time. The spot price of one asset at time 0 is So = 3,205.1. The continuously compounded interest rate is r = 4% (fixed over the 3-year period). (a) Consider portfolio A which consists of 50 asset S. Fill out the table below with the cashflow generated by Portfolio A where it is assumed that any revenue is automatically invested in ZCBs that mature at the final time t = 3. Portfolio Time t=1 Time t= 2 Time t= 3 Time t=0 5050 A: (b) Construct a replicating portfolio -called portfolio B- (to portfolio A) using a forward contract underlying 50 assets S (and with forward delivery price K, unknown at this time) and suitable ZCBs. All investments of Portfolio B are made at time t=0. Write in the table below the evolution of the value of Portfolio B (you don't need to fill out columns t = 1 and t = 2) Portfolio Time t=0 Time t=1 Time t= 2 Time t=3 B: 0 50ST - K Explain why Portfolio B replicates portfolio A. (c) Make use of the Law of one price and the tables above to find the no-arbitrage forward price K of the forward contract. (see next page) Consider a 3-year forward contract on 50 underlying assets S. Each asset pays 71 in a years time and 63 in 2 years time. The spot price of one asset at time 0 is So = 3,205.1. The continuously compounded interest rate is r = 4% (fixed over the 3-year period). (a) Consider portfolio A which consists of 50 asset S. Fill out the table below with the cashflow generated by Portfolio A where it is assumed that any revenue is automatically invested in ZCBs that mature at the final time t = 3. Portfolio Time t=1 Time t= 2 Time t= 3 Time t=0 5050 A: (b) Construct a replicating portfolio -called portfolio B- (to portfolio A) using a forward contract underlying 50 assets S (and with forward delivery price K, unknown at this time) and suitable ZCBs. All investments of Portfolio B are made at time t=0. Write in the table below the evolution of the value of Portfolio B (you don't need to fill out columns t = 1 and t = 2) Portfolio Time t=0 Time t=1 Time t= 2 Time t=3 B: 0 50ST - K Explain why Portfolio B replicates portfolio A. (c) Make use of the Law of one price and the tables above to find the no-arbitrage forward price K of the forward contract. (see next page)

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