(4+5+5 Marks) Exercise 1: Forward and replicating portfolio Consider a 3-year forward contract on 50 underlying assets S. Each asset pays 71 in a years time and E63 in 2 years time. The spot price of one asset at time 0 is So - 3, 205.1. The continuously (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 compounded interest rate is r-: 4% (fixed over the 3-year period). that mature at the final time 3. Portfolio Time t0 Timet A. | 5056 Timet-2 Timet-3 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 0 Write in the table below the evolution of the value of Portfolio B (you don't need to ill out columnst1 andt 2) Portfolio | Time t = 0 B: Time t = 1 Time t = 2 Time t = 3 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. (4+5+5 Marks) Exercise 1: Forward and replicating portfolio Consider a 3-year forward contract on 50 underlying assets S. Each asset pays 71 in a years time and E63 in 2 years time. The spot price of one asset at time 0 is So - 3, 205.1. The continuously (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 compounded interest rate is r-: 4% (fixed over the 3-year period). that mature at the final time 3. Portfolio Time t0 Timet A. | 5056 Timet-2 Timet-3 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 0 Write in the table below the evolution of the value of Portfolio B (you don't need to ill out columnst1 andt 2) Portfolio | Time t = 0 B: Time t = 1 Time t = 2 Time t = 3 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